******************************************************************************* ******************************************************************************* ********** *********** ********** "Establishment of *********** ********** the Direct Numerical Simulation Data Bases of *********** ********** Turbulent Transport Phenomena" *********** ********** *********** ********** Co-operative Research *********** ********** No. 02302043 *********** ********** *********** ********** Supported by the Ministry of Education, *********** ********** Science and Culture *********** ********** *********** ********** 1990 - 1992 *********** ********** *********** ********** *********** ********** *********** ********** *********** ********** N. Kasagi (PI) *********** ********** K. Horiuti, Y. Miyake, T. Miyauchi, Y. Nagano *********** ********** *********** ******************************************************************************* ******************************************************************************* ******************************************************************************* ******************************************************************************* ********** << CAUTION >> *********** ********** *********** ********** All rights are reserved by the computors of each data *********** ********** base. No part of the data described herein may be *********** ********** represented or otherwise used in any form without fully *********** ********** referring to this data base and the literature cited at *********** ********** the end of the data base. The original data base will *********** ********** be revised without notice, whenever necessary. *********** ********** *********** ******************************************************************************* ******************************************************************************* =================== this data base begins from this line ====================== Test Case: Fully Developed Plane Couette-Poiseuille Flow Code Number: PC12__PG.WL3 Date of Release: February 29, 1992 Date of Revision: June 30, 1993 Computors: A. Kuroda* and N. Kasagi Department of Mechanical Engineering The University of Tokyo Bunkyo-ku, Tokyo 113 *present address Department of Mechanical Engineering Hokkaido University Kita-ku, Sapporo 060 Nomenclature: delta = channel half width dP/dx = mean pressure gradient in flow (Uw) direction k = turbulent kinetic energy, u_i*u_i/2 k_x, k_z = streamwise and spanwise wave numbers nu = kinematic viscosity omega_y = vorticity component in the y-direction p = pressure R(ab) = correlation coefficient between a and b ro = density of the fluid Uw = moving wall velocity u, v, w = streamwise, wall-normal and spanwise velocity fluctuations u_tau_f = friction velocity on the fixed wall u_tau_m = friction velocity on the moving wall u_i = i-th component of velocity fluctuation x, y, z = streamwise, wall-normal, spanwise directions 1. Description of Flow Field The flow field simulated is a fully developed Couette-Poiseuille turbulent flow between two parallel walls. The flow condition is defined by the mean pressure gradient, the moving wall velocity and the distance between the walls (channel hight). So two independent parameters, Uw*delta/nu and -(delta/(ro*Uw**2))*(dP/dx) were imposed for computation in non-dimensional style. The flow is homogeneous both in the streamwise and spanwise directions and the statistics are dependent only upon the distance from the wall. The data presented here are non-dimensionalized by the wall variables, i.e., u_tau_f and nu. moving wall -->Uw ----------------------- dP/dx < 0 ----------------------- fixed wall Fig. Schematic picture of the flow field 2. Numerical Method Governing equations: a forth-order equation for v, a second-order equation for omega_y derived from the incompressible Navier-Stokes equations, and the continuity equation. Discretization method: spectral method = 128 x 128 Fourier series in the x- and z-directions, and Chebyshev polynomials up to the order 96 in the y- direction (Chebyshev-tau method). Aliasing treatment: nonlinear terms computed with collocation grids 1.5 times finer in each direction. Grid spacing: 0.123*delta and 0.491*delta in the x- and z- directions and (0.00054ª`0.033)*delta in the y-direction. Time integration: second order Adams-Bashforth scheme for the nonlinear terms and Crank-Nicolson scheme for the viscous terms. Size of computational box: 5*pai*delta x 2*delta x 2*pai*delta. Initial conditions: u', v' and u_mean given in accordance with the previous numerical results. Criterion for stationary state: linear profile of total stress and stationary behavior of mean velocity and second-order moments of the three velocity components at some distance from the wall. Length of time integration for ensemble averaging: about 540 delta/Uw after the fully developed state is reached. Error in continuity equation = Max [abs {div(roh*v)} ] : not applicable Courant number = Max [ delta-t * {abs(u_i/delta-x_i)} ] : < 0.3 Computer: HITAC-S820/80 at the Computer Center of the University of Tokyo. Computation time: about 4.0 sec CPU time per one time step. 3. Flow conditions Uw*delta/nu = 3000 (imposed) -(delta/(ro*Uw**2))*(dP/dx) = 1.33E-03 (imposed) u_tau_f*delta/nu = 154 (calculated) u_tau_m*delta/nu = 17.7 (calculated) 4. Numerical data 4.1 Turbulence statistics j y/delta u_mean u_rms v_rms w_rms p_rms 1 .000000E+00 .000000E+00 .593953E-06 .186403E-15 .148461E-14 .190986E+01 2 .535413E-03 .822971E-01 .318788E-01 .722493E-04 .190125E-01 .190917E+01 3 .214108E-02 .328964E+00 .127219E+00 .111420E-02 .737895E-01 .190738E+01 4 .481527E-02 .739272E+00 .285321E+00 .530900E-02 .158082E+00 .190526E+01 5 .855514E-02 .131161E+01 .505092E+00 .154414E-01 .262982E+00 .190407E+01 6 .133567E-01 .204209E+01 .783428E+00 .339879E-01 .378555E+00 .190551E+01 7 .192147E-01 .292126E+01 .111091E+01 .624123E-01 .495486E+00 .191155E+01 8 .261230E-01 .392906E+01 .146691E+01 .100902E+00 .606568E+00 .192406E+01 9 .340742E-01 .503065E+01 .181984E+01 .148549E+00 .707658E+00 .194438E+01 10 .430597E-01 .617730E+01 .213553E+01 .203772E+00 .797584E+00 .197294E+01 11 .530699E-01 .731442E+01 .238843E+01 .264712E+00 .877038E+00 .200911E+01 12 .640941E-01 .839305E+01 .256771E+01 .329447E+00 .947160E+00 .205115E+01 13 .761205E-01 .937884E+01 .267593E+01 .396043E+00 .100864E+01 .209652E+01 14 .891362E-01 .102549E+02 .272374E+01 .462595E+00 .106161E+01 .214215E+01 15 .103127E+00 .110188E+02 .272455E+01 .527326E+00 .110601E+01 .218503E+01 16 .118079E+00 .116781E+02 .269116E+01 .588709E+00 .114199E+01 .222262E+01 17 .133975E+00 .122447E+02 .263455E+01 .645543E+00 .117023E+01 .225304E+01 18 .150798E+00 .127319E+02 .256354E+01 .697008E+00 .119171E+01 .227505E+01 19 .168530E+00 .131526E+02 .248500E+01 .742702E+00 .120721E+01 .228811E+01 20 .187153E+00 .135185E+02 .240416E+01 .782566E+00 .121750E+01 .229249E+01 21 .206647E+00 .138397E+02 .232457E+01 .816788E+00 .122340E+01 .228886E+01 22 .226990E+00 .141245E+02 .224848E+01 .845723E+00 .122587E+01 .227797E+01 23 .248160E+00 .143799E+02 .217724E+01 .869820E+00 .122574E+01 .226078E+01 24 .270136E+00 .146115E+02 .211152E+01 .889522E+00 .122353E+01 .223844E+01 25 .292893E+00 .148237E+02 .205160E+01 .905182E+00 .121955E+01 .221166E+01 26 .316408E+00 .150198E+02 .199714E+01 .917130E+00 .121373E+01 .218092E+01 27 .340654E+00 .152026E+02 .194741E+01 .925767E+00 .120588E+01 .214698E+01 28 .365607E+00 .153742E+02 .190185E+01 .931515E+00 .119617E+01 .211054E+01 29 .391239E+00 .155365E+02 .186002E+01 .934719E+00 .118509E+01 .207205E+01 30 .417522E+00 .156909E+02 .182152E+01 .935692E+00 .117300E+01 .203212E+01 31 .444430E+00 .158381E+02 .178596E+01 .934759E+00 .116023E+01 .199172E+01 32 .471932E+00 .159789E+02 .175279E+01 .932239E+00 .114684E+01 .195162E+01 33 .500000E+00 .161141E+02 .172144E+01 .928433E+00 .113277E+01 .191238E+01 34 .528603E+00 .162445E+02 .169161E+01 .923601E+00 .111823E+01 .187420E+01 35 .557711E+00 .163707E+02 .166351E+01 .917923E+00 .110355E+01 .183681E+01 36 .587293E+00 .164929E+02 .163724E+01 .911533E+00 .108908E+01 .179990E+01 37 .617317E+00 .166114E+02 .161249E+01 .904571E+00 .107507E+01 .176326E+01 38 .647750E+00 .167264E+02 .158924E+01 .897147E+00 .106126E+01 .172660E+01 39 .678561E+00 .168382E+02 .156764E+01 .889287E+00 .104752E+01 .168982E+01 40 .709715E+00 .169468E+02 .154765E+01 .880956E+00 .103392E+01 .165295E+01 41 .741181E+00 .170526E+02 .152917E+01 .872149E+00 .102030E+01 .161617E+01 42 .772924E+00 .171553E+02 .151209E+01 .862952E+00 .100638E+01 .157986E+01 43 .804910E+00 .172547E+02 .149590E+01 .853524E+00 .992197E+00 .154450E+01 44 .837105E+00 .173508E+02 .147992E+01 .843988E+00 .978219E+00 .151006E+01 45 .869474E+00 .174434E+02 .146374E+01 .834406E+00 .964779E+00 .147656E+01 46 .901983E+00 .175327E+02 .144730E+01 .824816E+00 .951937E+00 .144405E+01 47 .934597E+00 .176184E+02 .143060E+01 .815247E+00 .939593E+00 .141277E+01 48 .967281E+00 .177006E+02 .141330E+01 .805759E+00 .927718E+00 .138303E+01 49 .100000E+01 .177795E+02 .139510E+01 .796367E+00 .916573E+00 .135505E+01 50 .103272E+01 .178556E+02 .137604E+01 .786997E+00 .906276E+00 .132840E+01 51 .106540E+01 .179293E+02 .135647E+01 .777562E+00 .896770E+00 .130266E+01 52 .109802E+01 .180006E+02 .133674E+01 .768004E+00 .887783E+00 .127733E+01 53 .113053E+01 .180696E+02 .131705E+01 .758303E+00 .878895E+00 .125229E+01 54 .116290E+01 .181362E+02 .129761E+01 .748447E+00 .869772E+00 .122759E+01 55 .119509E+01 .182000E+02 .127866E+01 .738431E+00 .860249E+00 .120361E+01 56 .122708E+01 .182611E+02 .126033E+01 .728250E+00 .850315E+00 .118046E+01 57 .125882E+01 .183195E+02 .124268E+01 .717866E+00 .840189E+00 .115818E+01 58 .129028E+01 .183754E+02 .122561E+01 .707217E+00 .830141E+00 .113660E+01 59 .132144E+01 .184291E+02 .120903E+01 .696248E+00 .820319E+00 .111576E+01 60 .135225E+01 .184809E+02 .119292E+01 .684900E+00 .810760E+00 .109541E+01 61 .138268E+01 .185310E+02 .117732E+01 .673081E+00 .801523E+00 .107551E+01 62 .141271E+01 .185798E+02 .116237E+01 .660693E+00 .792648E+00 .105590E+01 63 .144229E+01 .186273E+02 .114811E+01 .647674E+00 .784201E+00 .103675E+01 64 .147140E+01 .186738E+02 .113451E+01 .633999E+00 .776204E+00 .101802E+01 65 .150000E+01 .187191E+02 .112148E+01 .619662E+00 .768695E+00 .999866E+00 66 .152807E+01 .187635E+02 .110892E+01 .604633E+00 .761686E+00 .982189E+00 67 .155557E+01 .188069E+02 .109667E+01 .588862E+00 .755143E+00 .965101E+00 68 .158248E+01 .188495E+02 .108454E+01 .572271E+00 .749020E+00 .948453E+00 69 .160876E+01 .188915E+02 .107228E+01 .554768E+00 .743216E+00 .932309E+00 70 .163439E+01 .189331E+02 .105960E+01 .536260E+00 .737582E+00 .916453E+00 71 .165935E+01 .189742E+02 .104618E+01 .516658E+00 .731953E+00 .900902E+00 72 .168359E+01 .190151E+02 .103172E+01 .495888E+00 .726156E+00 .885431E+00 73 .170711E+01 .190558E+02 .101585E+01 .473881E+00 .719998E+00 .870119E+00 74 .172986E+01 .190965E+02 .998197E+00 .450583E+00 .713249E+00 .854853E+00 75 .175184E+01 .191371E+02 .978367E+00 .425956E+00 .705625E+00 .839852E+00 76 .177301E+01 .191777E+02 .955993E+00 .399992E+00 .696795E+00 .825138E+00 77 .179335E+01 .192180E+02 .930730E+00 .372718E+00 .686429E+00 .811007E+00 78 .181285E+01 .192578E+02 .902270E+00 .344197E+00 .674249E+00 .797468E+00 79 .183147E+01 .192969E+02 .870336E+00 .314536E+00 .660000E+00 .784762E+00 80 .184920E+01 .193348E+02 .834660E+00 .283912E+00 .643362E+00 .772874E+00 81 .186603E+01 .193711E+02 .794967E+00 .252590E+00 .623873E+00 .762082E+00 82 .188192E+01 .194054E+02 .750995E+00 .220938E+00 .600940E+00 .752421E+00 83 .189687E+01 .194371E+02 .702542E+00 .189425E+00 .573890E+00 .744172E+00 84 .191086E+01 .194655E+02 .649541E+00 .158618E+00 .542060E+00 .737306E+00 85 .192388E+01 .194902E+02 .592152E+00 .129158E+00 .504912E+00 .731976E+00 86 .193591E+01 .195104E+02 .530841E+00 .101730E+00 .462177E+00 .727992E+00 87 .194693E+01 .195258E+02 .466435E+00 .770012E-01 .414032E+00 .725346E+00 88 .195694E+01 .195361E+02 .400123E+00 .555561E-01 .361239E+00 .723718E+00 89 .196593E+01 .195414E+02 .333396E+00 .378099E-01 .305210E+00 .723012E+00 90 .197388E+01 .195424E+02 .267959E+00 .239348E-01 .247918E+00 .722883E+00 91 .198079E+01 .195399E+02 .205651E+00 .138150E-01 .191698E+00 .723250E+00 92 .198664E+01 .195353E+02 .148388E+00 .705265E-02 .138993E+00 .723809E+00 93 .199144E+01 .195295E+02 .980956E-01 .302704E-02 .921533E-01 .724531E+00 94 .199518E+01 .195238E+02 .566299E-01 .993385E-03 .532844E-01 .725169E+00 95 .199786E+01 .195191E+02 .256514E-01 .201438E-03 .241550E-01 .725748E+00 96 .199946E+01 .195160E+02 .648757E-02 .127892E-04 .611118E-02 .726075E+00 97 .200000E+01 .195149E+02 .615796E-06 .165943E-15 .143223E-14 .726230E+00 j y/delta -uv -uv/(u_rms*v_rms) uv_rms 1 .000000E+00 .109270E-30 .000000E+00 .122955E-21 2 .535413E-03 .492821E-06 .213970E+00 .441490E-05 3 .214108E-02 .321208E-04 .226607E+00 .272198E-03 4 .481527E-02 .375586E-03 .247950E+00 .291683E-02 5 .855514E-02 .216438E-02 .277508E+00 .149974E-01 6 .133567E-01 .834005E-02 .313216E+00 .503098E-01 7 .192147E-01 .243503E-01 .351201E+00 .125082E+00 8 .261230E-01 .572485E-01 .386777E+00 .247365E+00 9 .340742E-01 .112467E+00 .416027E+00 .410257E+00 10 .430597E-01 .190050E+00 .436734E+00 .596367E+00 11 .530699E-01 .283542E+00 .448466E+00 .788786E+00 12 .640941E-01 .382590E+00 .452275E+00 .978384E+00 13 .761205E-01 .477096E+00 .450183E+00 .116258E+01 14 .891362E-01 .560148E+00 .444566E+00 .134007E+01 15 .103127E+00 .628695E+00 .437588E+00 .150770E+01 16 .118079E+00 .682662E+00 .430888E+00 .166090E+01 17 .133975E+00 .723604E+00 .425470E+00 .179523E+01 18 .150798E+00 .753597E+00 .421756E+00 .190765E+01 19 .168530E+00 .774667E+00 .419734E+00 .199711E+01 20 .187153E+00 .788628E+00 .419168E+00 .206430E+01 21 .206647E+00 .796974E+00 .419751E+00 .211117E+01 22 .226990E+00 .800906E+00 .421176E+00 .214012E+01 23 .248160E+00 .801335E+00 .423134E+00 .215403E+01 24 .270136E+00 .798998E+00 .425396E+00 .215570E+01 25 .292893E+00 .794506E+00 .427826E+00 .214745E+01 26 .316408E+00 .788265E+00 .430360E+00 .213138E+01 27 .340654E+00 .780588E+00 .432975E+00 .210927E+01 28 .365607E+00 .771693E+00 .435590E+00 .208280E+01 29 .391239E+00 .761779E+00 .438159E+00 .205304E+01 30 .417522E+00 .751072E+00 .440672E+00 .202056E+01 31 .444430E+00 .739681E+00 .443072E+00 .198566E+01 32 .471932E+00 .727648E+00 .445312E+00 .194907E+01 33 .500000E+00 .714976E+00 .447351E+00 .191140E+01 34 .528603E+00 .701732E+00 .449145E+00 .187316E+01 35 .557711E+00 .688039E+00 .450590E+00 .183448E+01 36 .587293E+00 .673967E+00 .451600E+00 .179572E+01 37 .617317E+00 .659547E+00 .452175E+00 .175732E+01 38 .647750E+00 .644847E+00 .452277E+00 .171957E+01 39 .678561E+00 .629883E+00 .451828E+00 .168258E+01 40 .709715E+00 .614685E+00 .450843E+00 .164643E+01 41 .741181E+00 .599312E+00 .449373E+00 .161108E+01 42 .772924E+00 .583837E+00 .447433E+00 .157646E+01 43 .804910E+00 .568263E+00 .445073E+00 .154230E+01 44 .837105E+00 .552590E+00 .442413E+00 .150825E+01 45 .869474E+00 .536853E+00 .439555E+00 .147430E+01 46 .901983E+00 .521088E+00 .436510E+00 .144051E+01 47 .934597E+00 .505315E+00 .433266E+00 .140679E+01 48 .967281E+00 .489497E+00 .429843E+00 .137321E+01 49 .100000E+01 .473595E+00 .426275E+00 .133983E+01 50 .103272E+01 .457618E+00 .422572E+00 .130654E+01 51 .106540E+01 .441612E+00 .418694E+00 .127333E+01 52 .109802E+01 .425622E+00 .414585E+00 .124042E+01 53 .113053E+01 .409679E+00 .410202E+00 .120798E+01 54 .116290E+01 .393835E+00 .405516E+00 .117588E+01 55 .119509E+01 .378112E+00 .400457E+00 .114373E+01 56 .122708E+01 .362504E+00 .394957E+00 .111135E+01 57 .125882E+01 .346997E+00 .388978E+00 .107886E+01 58 .129028E+01 .331587E+00 .382554E+00 .104650E+01 59 .132144E+01 .316273E+00 .375716E+00 .101445E+01 60 .135225E+01 .301060E+00 .368481E+00 .982793E+00 61 .138268E+01 .285963E+00 .360868E+00 .951443E+00 62 .141271E+01 .271017E+00 .352902E+00 .920300E+00 63 .144229E+01 .256256E+00 .344614E+00 .889284E+00 64 .147140E+01 .241709E+00 .336044E+00 .858338E+00 65 .150000E+01 .227394E+00 .327215E+00 .827472E+00 66 .152807E+01 .213316E+00 .318150E+00 .796626E+00 67 .155557E+01 .199480E+00 .308894E+00 .765664E+00 68 .158248E+01 .185898E+00 .299522E+00 .734409E+00 69 .160876E+01 .172587E+00 .290127E+00 .702678E+00 70 .163439E+01 .159565E+00 .280816E+00 .670286E+00 71 .165935E+01 .146848E+00 .271680E+00 .637033E+00 72 .168359E+01 .134443E+00 .262780E+00 .602785E+00 73 .170711E+01 .122350E+00 .254158E+00 .567523E+00 74 .172986E+01 .110581E+00 .245861E+00 .531298E+00 75 .175184E+01 .991644E-01 .237952E+00 .494153E+00 76 .177301E+01 .881354E-01 .230486E+00 .456104E+00 77 .179335E+01 .775321E-01 .223500E+00 .417162E+00 78 .181285E+01 .673940E-01 .217009E+00 .377408E+00 79 .183147E+01 .577597E-01 .210993E+00 .337065E+00 80 .184920E+01 .486697E-01 .205383E+00 .296522E+00 81 .186603E+01 .401704E-01 .200051E+00 .256301E+00 82 .188192E+01 .323205E-01 .194792E+00 .217003E+00 83 .189687E+01 .251938E-01 .189315E+00 .179268E+00 84 .191086E+01 .188785E-01 .183235E+00 .143761E+00 85 .192388E+01 .134684E-01 .176101E+00 .111174E+00 86 .193591E+01 .904344E-02 .167464E+00 .822035E-01 87 .194693E+01 .563966E-02 .157023E+00 .574977E-01 88 .195694E+01 .321861E-02 .144792E+00 .375344E-01 89 .196593E+01 .165387E-02 .131200E+00 .224760E-01 90 .197388E+01 .750668E-03 .117044E+00 .120634E-01 91 .198079E+01 .293370E-03 .103261E+00 .561731E-02 92 .198664E+01 .948930E-04 .906744E-01 .216203E-02 93 .199144E+01 .237171E-04 .798719E-01 .636138E-03 94 .199518E+01 .400622E-05 .712150E-01 .123961E-03 95 .199786E+01 .335409E-06 .649118E-01 .116160E-04 96 .199946E+01 .506876E-08 .610910E-01 .188782E-06 97 .200000E+01 .750054E-31 .000000E+00 .121368E-21 j y/delta omega_z_mean omega_x_rms omega_y_rms omega_z_rms 1 .000000E+00 -.100000E+01 .233339E+00 .169915E-15 .387613E+00 2 .535413E-03 -.999728E+00 .228674E+00 .240213E-02 .387024E+00 3 .214108E-02 -.998881E+00 .215447E+00 .960850E-02 .385674E+00 4 .481527E-02 -.997179E+00 .195544E+00 .216241E-01 .384269E+00 5 .855514E-02 -.993492E+00 .171368E+00 .384211E-01 .382495E+00 6 .133567E-01 -.984879E+00 .146094E+00 .597364E-01 .377772E+00 7 .192147E-01 -.965895E+00 .124675E+00 .846614E-01 .365759E+00 8 .261230E-01 -.929490E+00 .113196E+00 .111323E+00 .344255E+00 9 .340742E-01 -.870236E+00 .114198E+00 .137147E+00 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.172915E+01 .653809E-03 .691617E+01 .160005E+00 96 .199946E+01 .294744E+00 .173448E+01 .142329E-03 .771833E+01 .159919E+00 j y/delta u_flat v_flat w_flat uv_flat p_flat 2 .535413E-03 .449879E+01 .272990E+02 .817630E+01 .140146E+04 .517084E+01 3 .214108E-02 .451349E+01 .262442E+02 .793979E+01 .139138E+04 .516538E+01 4 .481527E-02 .453155E+01 .245679E+02 .756335E+01 .134346E+04 .516042E+01 5 .855514E-02 .451681E+01 .224212E+02 .707626E+01 .117723E+04 .516408E+01 6 .133567E-01 .439172E+01 .200187E+02 .652314E+01 .838772E+03 .518546E+01 7 .192147E-01 .408797E+01 .175786E+02 .595693E+01 .463727E+03 .523748E+01 8 .261230E-01 .363498E+01 .152716E+02 .542286E+01 .223031E+03 .533124E+01 9 .340742E-01 .315021E+01 .132128E+02 .494757E+01 .109764E+03 .547684E+01 10 .430597E-01 .274445E+01 .114524E+02 .454117E+01 .594016E+02 .567407E+01 11 .530699E-01 .246602E+01 .997101E+01 .420392E+01 .353290E+02 .590966E+01 12 .640941E-01 .231032E+01 .871925E+01 .393065E+01 .229972E+02 .615144E+01 13 .761205E-01 .224984E+01 .765834E+01 .371337E+01 .166118E+02 .636317E+01 14 .891362E-01 .225467E+01 .676507E+01 .354477E+01 .134654E+02 .651634E+01 15 .103127E+00 .230079E+01 .602242E+01 .341912E+01 .120949E+02 .660188E+01 16 .118079E+00 .237098E+01 .541434E+01 .332902E+01 .116409E+02 .662220E+01 17 .133975E+00 .245315E+01 .492418E+01 .326542E+01 .116216E+02 .659003E+01 18 .150798E+00 .253833E+01 .453471E+01 .322146E+01 .118088E+02 .651688E+01 19 .168530E+00 .262068E+01 .422945E+01 .319427E+01 .120805E+02 .641555E+01 20 .187153E+00 .269619E+01 .399263E+01 .318136E+01 .123662E+02 .630487E+01 21 .206647E+00 .276147E+01 .380983E+01 .317705E+01 .126468E+02 .620470E+01 22 .226990E+00 .281487E+01 .366974E+01 .317571E+01 .129136E+02 .610835E+01 23 .248160E+00 .285623E+01 .356381E+01 .317379E+01 .131540E+02 .601365E+01 24 .270136E+00 .288667E+01 .348527E+01 .316753E+01 .133784E+02 .593609E+01 25 .292893E+00 .290689E+01 .342768E+01 .315973E+01 .135937E+02 .587773E+01 26 .316408E+00 .291813E+01 .338612E+01 .315461E+01 .138114E+02 .583094E+01 27 .340654E+00 .292330E+01 .335651E+01 .315396E+01 .140262E+02 .579122E+01 28 .365607E+00 .292611E+01 .333527E+01 .315686E+01 .142217E+02 .575523E+01 29 .391239E+00 .292823E+01 .331994E+01 .316169E+01 .143861E+02 .572792E+01 30 .417522E+00 .293030E+01 .330963E+01 .316661E+01 .145343E+02 .571936E+01 31 .444430E+00 .293152E+01 .330518E+01 .317205E+01 .146841E+02 .572521E+01 32 .471932E+00 .293076E+01 .330672E+01 .317830E+01 .148456E+02 .573706E+01 33 .500000E+00 .292948E+01 .331265E+01 .318224E+01 .149966E+02 .576218E+01 34 .528603E+00 .292748E+01 .332091E+01 .318097E+01 .151399E+02 .579820E+01 35 .557711E+00 .292418E+01 .333020E+01 .317946E+01 .152746E+02 .583905E+01 36 .587293E+00 .291949E+01 .334090E+01 .318248E+01 .154118E+02 .588655E+01 37 .617317E+00 .291335E+01 .335362E+01 .319230E+01 .155690E+02 .593165E+01 38 .647750E+00 .290687E+01 .336722E+01 .320259E+01 .157432E+02 .595341E+01 39 .678561E+00 .290142E+01 .338060E+01 .320895E+01 .159309E+02 .594208E+01 40 .709715E+00 .289690E+01 .339416E+01 .321316E+01 .161500E+02 .588721E+01 41 .741181E+00 .289394E+01 .340857E+01 .321626E+01 .163738E+02 .578896E+01 42 .772924E+00 .289217E+01 .342432E+01 .321502E+01 .166077E+02 .570387E+01 43 .804910E+00 .289059E+01 .344089E+01 .320905E+01 .168396E+02 .566826E+01 44 .837105E+00 .288953E+01 .345679E+01 .320676E+01 .170376E+02 .567003E+01 45 .869474E+00 .288986E+01 .347126E+01 .321300E+01 .172192E+02 .568766E+01 46 .901983E+00 .289225E+01 .348442E+01 .322488E+01 .173936E+02 .571068E+01 47 .934597E+00 .289719E+01 .349757E+01 .324195E+01 .175465E+02 .573186E+01 48 .967281E+00 .290354E+01 .351169E+01 .326440E+01 .177181E+02 .576200E+01 49 .100000E+01 .291078E+01 .352730E+01 .328914E+01 .179342E+02 .581803E+01 50 .103272E+01 .292034E+01 .354484E+01 .330997E+01 .182078E+02 .590236E+01 51 .106540E+01 .293220E+01 .356457E+01 .332449E+01 .185143E+02 .601822E+01 52 .109802E+01 .294358E+01 .358622E+01 .333589E+01 .188289E+02 .613761E+01 53 .113053E+01 .295203E+01 .360931E+01 .334338E+01 .191311E+02 .622367E+01 54 .116290E+01 .295850E+01 .363419E+01 .334558E+01 .194140E+02 .627824E+01 55 .119509E+01 .296458E+01 .366145E+01 .334499E+01 .196822E+02 .632955E+01 56 .122708E+01 .297059E+01 .369074E+01 .334736E+01 .199539E+02 .639069E+01 57 .125882E+01 .297724E+01 .372132E+01 .335445E+01 .202261E+02 .645047E+01 58 .129028E+01 .298406E+01 .375338E+01 .336317E+01 .204951E+02 .650068E+01 59 .132144E+01 .298882E+01 .378775E+01 .336919E+01 .207799E+02 .653458E+01 60 .135225E+01 .299002E+01 .382486E+01 .337101E+01 .210779E+02 .653288E+01 61 .138268E+01 .298931E+01 .386546E+01 .336992E+01 .213792E+02 .650123E+01 62 .141271E+01 .298886E+01 .391098E+01 .336783E+01 .216813E+02 .645914E+01 63 .144229E+01 .298900E+01 .396265E+01 .336678E+01 .219919E+02 .642639E+01 64 .147140E+01 .298944E+01 .402064E+01 .336467E+01 .223160E+02 .640962E+01 65 .150000E+01 .298929E+01 .408477E+01 .336093E+01 .226491E+02 .641425E+01 66 .152807E+01 .298805E+01 .415507E+01 .335427E+01 .229861E+02 .644403E+01 67 .155557E+01 .298586E+01 .423244E+01 .334405E+01 .233176E+02 .650761E+01 68 .158248E+01 .298325E+01 .431868E+01 .333251E+01 .236610E+02 .660726E+01 69 .160876E+01 .298087E+01 .441587E+01 .332343E+01 .240367E+02 .673778E+01 70 .163439E+01 .297929E+01 .452630E+01 .332028E+01 .244861E+02 .688339E+01 71 .165935E+01 .297981E+01 .465219E+01 .332579E+01 .250400E+02 .701585E+01 72 .168359E+01 .298436E+01 .479595E+01 .334131E+01 .257116E+02 .710279E+01 73 .170711E+01 .299506E+01 .496053E+01 .336565E+01 .265258E+02 .712463E+01 74 .172986E+01 .301414E+01 .514973E+01 .339650E+01 .275144E+02 .708985E+01 75 .175184E+01 .304357E+01 .536866E+01 .343327E+01 .287180E+02 .701878E+01 76 .177301E+01 .308528E+01 .562454E+01 .347674E+01 .302045E+02 .693014E+01 77 .179335E+01 .314132E+01 .592681E+01 .352874E+01 .320527E+02 .682368E+01 78 .181285E+01 .321408E+01 .628747E+01 .359299E+01 .343621E+02 .668965E+01 79 .183147E+01 .330610E+01 .672138E+01 .367411E+01 .372700E+02 .651275E+01 80 .184920E+01 .341962E+01 .724663E+01 .377562E+01 .409602E+02 .628661E+01 81 .186603E+01 .355625E+01 .788597E+01 .390013E+01 .456966E+02 .601836E+01 82 .188192E+01 .371702E+01 .866929E+01 .405108E+01 .518505E+02 .572890E+01 83 .189687E+01 .390216E+01 .963549E+01 .423424E+01 .599383E+02 .544689E+01 84 .191086E+01 .411092E+01 .108329E+02 .445776E+01 .707364E+02 .519707E+01 85 .192388E+01 .434178E+01 .123171E+02 .473090E+01 .854868E+02 .499664E+01 86 .193591E+01 .459291E+01 .141424E+02 .506135E+01 .106093E+03 .484858E+01 87 .194693E+01 .486334E+01 .163446E+02 .545183E+01 .135442E+03 .474894E+01 88 .195694E+01 .515559E+01 .189119E+02 .589666E+01 .178313E+03 .468626E+01 89 .196593E+01 .547739E+01 .217568E+02 .637973E+01 .242601E+03 .465126E+01 90 .197388E+01 .583789E+01 .247115E+02 .687523E+01 .338834E+03 .463370E+01 91 .198079E+01 .623679E+01 .275697E+02 .735268E+01 .476288E+03 .462843E+01 92 .198664E+01 .665604E+01 .301510E+02 .778507E+01 .650669E+03 .462943E+01 93 .199144E+01 .706346E+01 .323391E+02 .815463E+01 .836316E+03 .463469E+01 94 .199518E+01 .742354E+01 .340761E+02 .845163E+01 .100242E+04 .464046E+01 95 .199786E+01 .770254E+01 .353273E+02 .866991E+01 .112911E+04 .464635E+01 96 .199946E+01 .716375E+01 .360962E+02 .880393E+01 .120743E+04 .464984E+01 4.2 Budgets of Turbulence Energy, Reynolds stresses, Dissipation rate of k Budget for uu j y/delta Diss Prod p_strain Turb_diff Visc_diff 1 .000000E+00 -.300488E+00 .218539E-30 .138401E-16 -.182901E-05 .300480E+00 2 .535413E-03 -.299587E+00 .985373E-06 .463520E-03 .257524E-05 .299122E+00 3 .214108E-02 -.297664E+00 .641697E-04 .152542E-02 .105176E-03 .295979E+00 4 .481527E-02 -.296193E+00 .749053E-03 .232752E-02 .121347E-02 .291924E+00 5 .855514E-02 -.295305E+00 .430059E-02 .183043E-02 .664258E-02 .282555E+00 6 .133567E-01 -.291912E+00 .164279E-01 -.761628E-03 .228769E-01 .253382E+00 7 .192147E-01 -.280638E+00 .470397E-01 -.571841E-02 .536345E-01 .185657E+00 8 .261230E-01 -.259855E+00 .106424E+00 -.127506E-01 .871480E-01 .789541E-01 9 .340742E-01 -.236259E+00 .195746E+00 -.211780E-01 .961323E-01 -.346087E-01 10 .430597E-01 -.219094E+00 .299554E+00 -.301631E-01 .624660E-01 -.113026E+00 11 .530699E-01 -.210980E+00 .391018E+00 -.389071E-01 -.256303E-02 -.138887E+00 12 .640941E-01 -.207455E+00 .447543E+00 -.467556E-01 -.690519E-01 -.124615E+00 13 .761205E-01 -.202992E+00 .462105E+00 -.532791E-01 -.113127E+00 -.930677E-01 14 .891362E-01 -.194930E+00 .442128E+00 -.583142E-01 -.128121E+00 -.610965E-01 15 .103127E+00 -.183328E+00 .401158E+00 -.619384E-01 -.120225E+00 -.359828E-01 16 .118079E+00 -.169369E+00 .351614E+00 -.643921E-01 -.995727E-01 -.185517E-01 17 .133975E+00 -.154139E+00 .301855E+00 -.659188E-01 -.745283E-01 -.743176E-02 18 .150798E+00 -.138519E+00 .256379E+00 -.666440E-01 -.505224E-01 -.856437E-03 19 .168530E+00 -.123242E+00 .217039E+00 -.665867E-01 -.301227E-01 .279162E-02 20 .187153E+00 -.108745E+00 .184094E+00 -.657526E-01 -.140045E-01 .434543E-02 21 .206647E+00 -.954224E-01 .157035E+00 -.641714E-01 -.221255E-02 .471812E-02 22 .226990E+00 -.834713E-01 .135035E+00 -.619559E-01 .585220E-02 .454037E-02 23 .248160E+00 -.729183E-01 .117247E+00 -.592543E-01 .109379E-01 .405772E-02 24 .270136E+00 -.637539E-01 .102822E+00 -.561978E-01 .136756E-01 .354874E-02 25 .292893E+00 -.558069E-01 .909757E-01 -.529065E-01 .149529E-01 .290007E-02 26 .316408E+00 -.489842E-01 .811650E-01 -.494873E-01 .151608E-01 .226376E-02 27 .340654E+00 -.432007E-01 .729871E-01 -.460479E-01 .145373E-01 .182758E-02 28 .365607E+00 -.383089E-01 .661601E-01 -.426751E-01 .134629E-01 .147762E-02 29 .391239E+00 -.341653E-01 .603921E-01 -.394674E-01 .121256E-01 .121719E-02 30 .417522E+00 -.305819E-01 .553526E-01 -.364799E-01 .108122E-01 .995648E-03 31 .444430E+00 -.274516E-01 .508860E-01 -.337188E-01 .961156E-02 .775948E-03 32 .471932E+00 -.247720E-01 .469484E-01 -.312166E-01 .852776E-02 .586665E-03 33 .500000E+00 -.224836E-01 .435358E-01 -.289801E-01 .749562E-02 .466881E-03 34 .528603E+00 -.205229E-01 .405614E-01 -.269799E-01 .648186E-02 .472043E-03 35 .557711E+00 -.188027E-01 .378686E-01 -.251603E-01 .565621E-02 .452102E-03 36 .587293E+00 -.172707E-01 .353950E-01 -.235014E-01 .505441E-02 .351575E-03 37 .617317E+00 -.159237E-01 .331342E-01 -.219984E-01 .450321E-02 .323077E-03 38 .647750E+00 -.147280E-01 .310457E-01 -.206220E-01 .401153E-02 .325217E-03 39 .678561E+00 -.136579E-01 .291342E-01 -.193274E-01 .358233E-02 .294753E-03 40 .709715E+00 -.126954E-01 .273821E-01 -.180819E-01 .315939E-02 .255199E-03 41 .741181E+00 -.118272E-01 .257214E-01 -.168818E-01 .277659E-02 .235342E-03 42 .772924E+00 -.110204E-01 .240880E-01 -.157558E-01 .254725E-02 .152668E-03 43 .804910E+00 -.102840E-01 .225075E-01 -.147291E-01 .244317E-02 .563025E-04 44 .837105E+00 -.962613E-02 .210155E-01 -.138074E-01 .239783E-02 .354096E-05 45 .869474E+00 -.903863E-02 .195896E-01 -.129679E-01 .238227E-02 -.283877E-05 46 .901983E+00 -.850062E-02 .182166E-01 -.121864E-01 .240982E-02 .306566E-05 47 .934597E+00 -.798528E-02 .168913E-01 -.114442E-01 .250415E-02 -.413509E-04 48 .967281E+00 -.750844E-02 .156685E-01 -.107417E-01 .257709E-02 -.788692E-04 49 .100000E+01 -.708576E-02 .145843E-01 -.100908E-01 .256901E-02 -.691275E-04 50 .103272E+01 -.670957E-02 .136280E-01 -.949770E-02 .250829E-02 -.280931E-04 51 .106540E+01 -.636936E-02 .127541E-01 -.895267E-02 .245290E-02 .112210E-04 52 .109802E+01 -.605239E-02 .119297E-01 -.844605E-02 .243272E-02 .282696E-04 53 .113053E+01 -.575661E-02 .111357E-01 -.797485E-02 .243770E-02 .476378E-04 54 .116290E+01 -.547405E-02 .103500E-01 -.753932E-02 .247139E-02 .708210E-04 55 .119509E+01 -.519868E-02 .957617E-02 -.714092E-02 .255808E-02 .826060E-04 56 .122708E+01 -.493340E-02 .883916E-02 -.677937E-02 .267046E-02 .853633E-04 57 .125882E+01 -.467955E-02 .815767E-02 -.645101E-02 .278985E-02 .704546E-04 58 .129028E+01 -.444548E-02 .754136E-02 -.614625E-02 .287988E-02 .587501E-04 59 .132144E+01 -.423530E-02 .699136E-02 -.586416E-02 .294761E-02 .519510E-04 60 .135225E+01 -.404846E-02 .650831E-02 -.560247E-02 .297889E-02 .566908E-04 61 .138268E+01 -.387796E-02 .608168E-02 -.535781E-02 .298195E-02 .699221E-04 62 .141271E+01 -.371578E-02 .569665E-02 -.512238E-02 .296819E-02 .756102E-04 63 .144229E+01 -.355899E-02 .533907E-02 -.489257E-02 .295294E-02 .665722E-04 64 .147140E+01 -.340755E-02 .500085E-02 -.466793E-02 .292744E-02 .570537E-04 65 .150000E+01 -.326060E-02 .467922E-02 -.444873E-02 .289533E-02 .459638E-04 66 .152807E+01 -.312117E-02 .437813E-02 -.423414E-02 .286208E-02 .236197E-04 67 .155557E+01 -.299426E-02 .410045E-02 -.403072E-02 .283186E-02 -.176468E-05 68 .158248E+01 -.287597E-02 .384600E-02 -.384006E-02 .280475E-02 -.344249E-04 69 .160876E+01 -.276449E-02 .361127E-02 -.366181E-02 .279170E-02 -.792268E-04 70 .163439E+01 -.265914E-02 .339225E-02 -.349241E-02 .278161E-02 -.129442E-03 71 .165935E+01 -.255991E-02 .318449E-02 -.332814E-02 .277839E-02 -.184557E-03 72 .168359E+01 -.246831E-02 .298683E-02 -.315883E-02 .277894E-02 -.251315E-03 73 .170711E+01 -.238706E-02 .279779E-02 -.297666E-02 .278341E-02 -.330344E-03 74 .172986E+01 -.231936E-02 .261360E-02 -.277146E-02 .278220E-02 -.418857E-03 75 .175184E+01 -.226893E-02 .242781E-02 -.253833E-02 .277733E-02 -.511937E-03 76 .177301E+01 -.223836E-02 .223508E-02 -.227059E-02 .276715E-02 -.609882E-03 77 .179335E+01 -.223061E-02 .203198E-02 -.196611E-02 .275516E-02 -.708647E-03 78 .181285E+01 -.224849E-02 .181769E-02 -.162064E-02 .273794E-02 -.808004E-03 79 .183147E+01 -.229470E-02 .159350E-02 -.123363E-02 .272065E-02 -.910267E-03 80 .184920E+01 -.237315E-02 .136276E-02 -.802598E-03 .270153E-02 -.101726E-02 81 .186603E+01 -.249004E-02 .113002E-02 -.330909E-03 .267907E-02 -.111949E-02 82 .188192E+01 -.265396E-02 .901153E-03 .175922E-03 .263947E-02 -.119656E-02 83 .189687E+01 -.287559E-02 .683305E-03 .702841E-03 .256734E-02 -.121161E-02 84 .191086E+01 -.316673E-02 .485026E-03 .122951E-02 .243682E-02 -.111691E-02 85 .192388E+01 -.353901E-02 .315419E-03 .172535E-02 .222748E-02 -.856181E-03 86 .193591E+01 -.400193E-02 .182310E-03 .215510E-02 .192410E-02 -.379393E-03 87 .194693E+01 -.456219E-02 .894109E-04 .247801E-02 .154098E-02 .345000E-03 88 .195694E+01 -.522427E-02 .340984E-04 .265734E-02 .111919E-02 .131711E-02 89 .196593E+01 -.599282E-02 .768317E-05 .266637E-02 .724747E-03 .251278E-02 90 .197388E+01 -.687119E-02 -.119326E-05 .249945E-02 .409424E-03 .389728E-02 91 .198079E+01 -.785306E-02 -.224979E-05 .217511E-02 .198014E-03 .543214E-02 92 .198664E+01 -.890902E-02 -.125330E-05 .173600E-02 .778187E-04 .706024E-02 93 .199144E+01 -.997899E-02 -.425341E-06 .124169E-02 .238069E-04 .869093E-02 94 .199518E+01 -.109746E-01 -.868908E-07 .760394E-03 .435849E-05 .101964E-01 95 .199786E+01 -.117921E-01 -.818267E-08 .358819E-03 .750860E-06 .114271E-01 96 .199946E+01 -.123316E-01 -.131918E-09 .929585E-04 -.299014E-06 .122366E-01 97 .200000E+01 -.125204E-01 -.199285E-32 .187185E-17 .612240E-06 .125134E-01 Budget for vv j y/delta Diss p_strain Pres_diff Turb_diff Visc_diff 1 .000000E+00 -.335202E-32 -.976631E-17 .252386E-05 .786996E-06 .426514E-05 2 .535413E-03 -.608993E-05 -.262091E-02 .261664E-02 -.394121E-06 .942864E-05 3 .214108E-02 -.874164E-04 -.951088E-02 .947094E-02 .390590E-06 .128708E-03 4 .481527E-02 -.371057E-03 -.181872E-01 .180249E-01 -.613801E-06 .532198E-03 5 .855514E-02 -.926106E-03 -.257770E-01 .254393E-01 -.178802E-05 .126825E-02 6 .133567E-01 -.170331E-02 -.302518E-01 .297972E-01 -.920919E-05 .216612E-02 7 .192147E-01 -.258925E-02 -.310594E-01 .307286E-01 -.910093E-05 .293587E-02 8 .261230E-01 -.351662E-02 -.288656E-01 .289746E-01 .570709E-04 .335738E-02 9 .340742E-01 -.452588E-02 -.247482E-01 .255793E-01 .336076E-03 .338114E-02 10 .430597E-01 -.572550E-02 -.195207E-01 .211858E-01 .100644E-02 .308782E-02 11 .530699E-01 -.719719E-02 -.135543E-01 .160865E-01 .213763E-02 .258642E-02 12 .640941E-01 -.893338E-02 -.704068E-02 .105714E-01 .351462E-02 .195973E-02 13 .761205E-01 -.108421E-01 -.258048E-03 .524658E-02 .466769E-02 .127323E-02 14 .891362E-01 -.127886E-01 .636920E-02 .851470E-03 .506404E-02 .598824E-03 15 .103127E+00 -.146352E-01 .124103E-01 -.208274E-02 .439828E-02 .416108E-05 16 .118079E+00 -.162640E-01 .175796E-01 -.348731E-02 .273171E-02 -.469061E-03 17 .133975E+00 -.175964E-01 .217494E-01 -.369431E-02 .412364E-03 -.800335E-03 18 .150798E+00 -.185952E-01 .248504E-01 -.305272E-02 -.215157E-02 -.981085E-03 19 .168530E+00 -.192503E-01 .268910E-01 -.198040E-02 -.456822E-02 -.104245E-02 20 .187153E+00 -.195784E-01 .279970E-01 -.867132E-03 -.649753E-02 -.102014E-02 21 .206647E+00 -.196134E-01 .283211E-01 .300018E-04 -.776219E-02 -.944504E-03 22 .226990E+00 -.194032E-01 .280035E-01 .719494E-03 -.845155E-02 -.841271E-03 23 .248160E+00 -.190039E-01 .272186E-01 .117877E-02 -.864785E-02 -.735446E-03 24 .270136E+00 -.184651E-01 .260917E-01 .142282E-02 -.841103E-02 -.647829E-03 25 .292893E+00 -.178298E-01 .247123E-01 .148101E-02 -.782557E-02 -.566796E-03 26 .316408E+00 -.171295E-01 .231320E-01 .149245E-02 -.705483E-02 -.477687E-03 27 .340654E+00 -.163843E-01 .214418E-01 .149782E-02 -.621832E-02 -.392393E-03 28 .365607E+00 -.156139E-01 .197733E-01 .146889E-02 -.536146E-02 -.325033E-03 29 .391239E+00 -.148409E-01 .182266E-01 .135898E-02 -.455208E-02 -.267549E-03 30 .417522E+00 -.140785E-01 .168325E-01 .115853E-02 -.377257E-02 -.213060E-03 31 .444430E+00 -.133327E-01 .155771E-01 .886906E-03 -.304745E-02 -.164941E-03 32 .471932E+00 -.126108E-01 .144817E-01 .546730E-03 -.239924E-02 -.123286E-03 33 .500000E+00 -.119179E-01 .135291E-01 .135354E-03 -.179099E-02 -.896767E-04 34 .528603E+00 -.112569E-01 .126756E-01 -.237180E-03 -.124138E-02 -.673054E-04 35 .557711E+00 -.106291E-01 .118882E-01 -.549748E-03 -.798665E-03 -.520003E-04 36 .587293E+00 -.100369E-01 .111598E-01 -.748965E-03 -.472750E-03 -.366512E-04 37 .617317E+00 -.947955E-02 .104796E-01 -.896116E-03 -.234446E-03 -.249846E-04 38 .647750E+00 -.895768E-02 .985317E-02 -.102185E-02 -.124729E-05 -.219547E-04 39 .678561E+00 -.847205E-02 .927136E-02 -.118419E-02 .240322E-03 -.242643E-04 40 .709715E+00 -.801834E-02 .871096E-02 -.127802E-02 .438762E-03 -.240125E-04 41 .741181E+00 -.759176E-02 .818089E-02 -.133369E-02 .574830E-03 -.167497E-04 42 .772924E+00 -.718942E-02 .771244E-02 -.137345E-02 .667588E-03 -.372881E-05 43 .804910E+00 -.680879E-02 .731900E-02 -.146255E-02 .747690E-03 .446784E-05 44 .837105E+00 -.645056E-02 .697989E-02 -.152799E-02 .800940E-03 .793366E-05 45 .869474E+00 -.611427E-02 .665998E-02 -.154458E-02 .797968E-03 .973127E-05 46 .901983E+00 -.579891E-02 .634453E-02 -.152472E-02 .781087E-03 .104952E-04 47 .934597E+00 -.550479E-02 .602274E-02 -.149810E-02 .779310E-03 .140009E-04 48 .967281E+00 -.523136E-02 .569837E-02 -.145623E-02 .800404E-03 .144262E-04 49 .100000E+01 -.497731E-02 .538280E-02 -.141454E-02 .835222E-03 .835190E-05 50 .103272E+01 -.474085E-02 .508164E-02 -.138510E-02 .879405E-03 .211308E-05 51 .106540E+01 -.451881E-02 .478582E-02 -.135710E-02 .926041E-03 -.192183E-05 52 .109802E+01 -.430918E-02 .449889E-02 -.132230E-02 .971238E-03 -.333867E-05 53 .113053E+01 -.411062E-02 .424677E-02 -.130715E-02 .101918E-02 -.431093E-05 54 .116290E+01 -.392223E-02 .403725E-02 -.133548E-02 .107183E-02 -.495191E-05 55 .119509E+01 -.374368E-02 .386165E-02 -.138578E-02 .112991E-02 -.555178E-05 56 .122708E+01 -.357486E-02 .370810E-02 -.145585E-02 .118982E-02 -.804120E-05 57 .125882E+01 -.341520E-02 .356734E-02 -.150960E-02 .124124E-02 -.124340E-04 58 .129028E+01 -.326372E-02 .343900E-02 -.156928E-02 .128497E-02 -.160483E-04 59 .132144E+01 -.311948E-02 .333393E-02 -.163843E-02 .133036E-02 -.196124E-04 60 .135225E+01 -.298195E-02 .325142E-02 -.174474E-02 .138960E-02 -.258814E-04 61 .138268E+01 -.285136E-02 .317919E-02 -.185078E-02 .145421E-02 -.322988E-04 62 .141271E+01 -.272734E-02 .310577E-02 -.196358E-02 .152202E-02 -.365090E-04 63 .144229E+01 -.260889E-02 .302583E-02 -.206294E-02 .159233E-02 -.379269E-04 64 .147140E+01 -.249488E-02 .293758E-02 -.216048E-02 .166789E-02 -.384629E-04 65 .150000E+01 -.238487E-02 .284035E-02 -.223837E-02 .174307E-02 -.403700E-04 66 .152807E+01 -.227876E-02 .273765E-02 -.230827E-02 .181722E-02 -.438560E-04 67 .155557E+01 -.217591E-02 .263344E-02 -.236971E-02 .189299E-02 -.490378E-04 68 .158248E+01 -.207596E-02 .252791E-02 -.244259E-02 .197979E-02 -.550427E-04 69 .160876E+01 -.197846E-02 .241805E-02 -.251814E-02 .208054E-02 -.609125E-04 70 .163439E+01 -.188275E-02 .229981E-02 -.260304E-02 .219308E-02 -.658960E-04 71 .165935E+01 -.178803E-02 .216352E-02 -.266865E-02 .230945E-02 -.694206E-04 72 .168359E+01 -.169367E-02 .199462E-02 -.270638E-02 .242108E-02 -.713797E-04 73 .170711E+01 -.159928E-02 .178015E-02 -.267768E-02 .251720E-02 -.713489E-04 74 .172986E+01 -.150488E-02 .151060E-02 -.258259E-02 .258992E-02 -.681739E-04 75 .175184E+01 -.141073E-02 .118014E-02 -.239008E-02 .263106E-02 -.604607E-04 76 .177301E+01 -.131709E-02 .782763E-03 -.210933E-02 .263599E-02 -.472872E-04 77 .179335E+01 -.122439E-02 .314187E-03 -.171158E-02 .259966E-02 -.279388E-04 78 .181285E+01 -.113351E-02 -.229972E-03 -.120850E-02 .251775E-02 -.951120E-06 79 .183147E+01 -.104586E-02 -.850078E-03 -.575308E-03 .238400E-02 .359711E-04 80 .184920E+01 -.962924E-03 -.154275E-02 .168200E-03 .219718E-02 .845672E-04 81 .186603E+01 -.885748E-03 -.229635E-02 .102682E-02 .195938E-02 .144855E-03 82 .188192E+01 -.814539E-03 -.308986E-02 .195666E-02 .168084E-02 .214680E-03 83 .189687E+01 -.748465E-03 -.388988E-02 .292748E-02 .137629E-02 .289571E-03 84 .191086E+01 -.685522E-03 -.465067E-02 .386490E-02 .106667E-02 .362578E-03 85 .192388E+01 -.622619E-03 -.531567E-02 .470868E-02 .772959E-03 .424439E-03 86 .193591E+01 -.556091E-03 -.582151E-02 .537015E-02 .516298E-03 .464574E-03 87 .194693E+01 -.482761E-03 -.610591E-02 .578762E-02 .311064E-03 .473345E-03 88 .195694E+01 -.401440E-03 -.611809E-02 .589718E-02 .165042E-03 .445359E-03 89 .196593E+01 -.314273E-03 -.583229E-02 .568450E-02 .742667E-04 .382697E-03 90 .197388E+01 -.227030E-03 -.525742E-02 .515724E-02 .274669E-04 .296082E-03 91 .198079E+01 -.147683E-03 -.444163E-02 .437905E-02 .769102E-05 .202315E-03 92 .198664E+01 -.836716E-04 -.346691E-02 .342907E-02 .169039E-05 .118651E-03 93 .199144E+01 -.391805E-04 -.243966E-02 .242261E-02 .106001E-06 .568805E-04 94 .199518E+01 -.137755E-04 -.147678E-02 .146928E-02 .112664E-06 .203240E-04 95 .199786E+01 -.293634E-05 -.691550E-03 .691074E-03 -.989055E-07 .435583E-05 96 .199946E+01 -.192191E-06 -.178360E-03 .177349E-03 .990522E-07 .357108E-06 97 .200000E+01 -.261142E-32 -.146134E-17 .188611E-05 -.198032E-06 .908957E-06 Budget for ww j y/delta Diss p_strain Turb_diff Visc_diff 1 .000000E+00 -.108894E+00 -.407380E-17 -.181202E-05 .108899E+00 2 .535413E-03 -.104596E+00 .215739E-02 .817676E-06 .102443E+00 3 .214108E-02 -.930147E-01 .798546E-02 -.712890E-05 .850548E-01 4 .481527E-02 -.772346E-01 .158597E-01 -.711374E-04 .614915E-01 5 .855514E-02 -.605963E-01 .239466E-01 -.379030E-03 .371033E-01 6 .133567E-01 -.459639E-01 .310134E-01 -.120569E-02 .162670E-01 7 .192147E-01 -.356263E-01 .367779E-01 -.270105E-02 .169421E-02 8 .261230E-01 -.307782E-01 .416162E-01 -.461489E-02 -.604212E-02 9 .340742E-01 -.308935E-01 .459263E-01 -.639045E-02 -.843143E-02 10 .430597E-01 -.340373E-01 .496838E-01 -.741970E-02 -.797710E-02 11 .530699E-01 -.379939E-01 .524614E-01 -.737438E-02 -.679469E-02 12 .640941E-01 -.412243E-01 .537963E-01 -.634477E-02 -.588095E-02 13 .761205E-01 -.431055E-01 .535371E-01 -.474751E-02 -.531171E-02 14 .891362E-01 -.436566E-01 .519450E-01 -.304098E-02 -.486474E-02 15 .103127E+00 -.431993E-01 .495280E-01 -.165384E-02 -.432199E-02 16 .118079E+00 -.421057E-01 .468125E-01 -.790169E-03 -.358804E-02 17 .133975E+00 -.406168E-01 .441694E-01 -.423807E-03 -.281797E-02 18 .150798E+00 -.388625E-01 .417936E-01 -.421372E-03 -.224812E-02 19 .168530E+00 -.369793E-01 .396957E-01 -.746312E-03 -.176264E-02 20 .187153E+00 -.350295E-01 .377556E-01 -.119984E-02 -.134069E-02 21 .206647E+00 -.330843E-01 .358503E-01 -.170300E-02 -.931542E-03 22 .226990E+00 -.311788E-01 .339523E-01 -.209084E-02 -.624435E-03 23 .248160E+00 -.293272E-01 .320357E-01 -.222456E-02 -.456534E-03 24 .270136E+00 -.275610E-01 .301061E-01 -.222703E-02 -.330736E-03 25 .292893E+00 -.258494E-01 .281942E-01 -.206324E-02 -.317992E-03 26 .316408E+00 -.242210E-01 .263552E-01 -.187654E-02 -.327781E-03 27 .340654E+00 -.227039E-01 .246061E-01 -.172116E-02 -.265845E-03 28 .365607E+00 -.212766E-01 .229018E-01 -.156447E-02 -.154648E-03 29 .391239E+00 -.199189E-01 .212408E-01 -.135370E-02 -.894276E-04 30 .417522E+00 -.186427E-01 .196475E-01 -.113263E-02 -.322554E-04 31 .444430E+00 -.174338E-01 .181417E-01 -.851579E-03 -.223150E-04 32 .471932E+00 -.163007E-01 .167349E-01 -.563121E-03 -.345100E-04 33 .500000E+00 -.152676E-01 .154510E-01 -.349828E-03 -.259921E-05 34 .528603E+00 -.143185E-01 .143043E-01 -.186526E-03 .343227E-04 35 .557711E+00 -.134427E-01 .132721E-01 -.553836E-04 .697200E-04 36 .587293E+00 -.126240E-01 .123416E-01 .320362E-04 .959565E-04 37 .617317E+00 -.118399E-01 .115188E-01 .100984E-03 .546594E-04 38 .647750E+00 -.111096E-01 .107689E-01 .146221E-03 .363178E-04 39 .678561E+00 -.104445E-01 .100561E-01 .188931E-03 .465984E-04 40 .709715E+00 -.982621E-02 .937097E-02 .276657E-03 .279782E-04 41 .741181E+00 -.924212E-02 .870096E-02 .385432E-03 -.252865E-05 42 .772924E+00 -.870495E-02 .804333E-02 .505339E-03 -.943787E-06 43 .804910E+00 -.821730E-02 .741009E-02 .607394E-03 .428497E-04 44 .837105E+00 -.775361E-02 .682746E-02 .702326E-03 .658045E-04 45 .869474E+00 -.731845E-02 .630787E-02 .798615E-03 .656276E-04 46 .901983E+00 -.691729E-02 .584183E-02 .897441E-03 .534925E-04 47 .934597E+00 -.654459E-02 .542144E-02 .968125E-03 .455304E-04 48 .967281E+00 -.620640E-02 .504334E-02 .988081E-03 .669435E-04 49 .100000E+01 -.588633E-02 .470797E-02 .997514E-03 .710774E-04 50 .103272E+01 -.558031E-02 .441606E-02 .999868E-03 .653817E-04 51 .106540E+01 -.528673E-02 .416684E-02 .979934E-03 .430569E-04 52 .109802E+01 -.501322E-02 .394715E-02 .960743E-03 .107186E-04 53 .113053E+01 -.476377E-02 .372808E-02 .954586E-03 -.141195E-04 54 .116290E+01 -.453199E-02 .350207E-02 .965564E-03 -.253138E-04 55 .119509E+01 -.431186E-02 .327927E-02 .969547E-03 -.275797E-04 56 .122708E+01 -.411012E-02 .307127E-02 .960949E-03 -.106523E-04 57 .125882E+01 -.392858E-02 .288367E-02 .953653E-03 .862403E-05 58 .129028E+01 -.375869E-02 .270725E-02 .956705E-03 .185623E-04 59 .132144E+01 -.359418E-02 .253023E-02 .975411E-03 .190637E-04 60 .135225E+01 -.343851E-02 .235106E-02 .998527E-03 .235247E-04 61 .138268E+01 -.329020E-02 .217862E-02 .102083E-02 .246539E-04 62 .141271E+01 -.315159E-02 .201661E-02 .103706E-02 .306642E-04 63 .144229E+01 -.301775E-02 .186674E-02 .105147E-02 .304627E-04 64 .147140E+01 -.289056E-02 .173035E-02 .105543E-02 .343317E-04 65 .150000E+01 -.276982E-02 .160838E-02 .105692E-02 .353054E-04 66 .152807E+01 -.265428E-02 .149649E-02 .105830E-02 .323845E-04 67 .155557E+01 -.254331E-02 .139728E-02 .105234E-02 .292448E-04 68 .158248E+01 -.243631E-02 .131215E-02 .104090E-02 .208313E-04 69 .160876E+01 -.233530E-02 .124376E-02 .102472E-02 .660060E-05 70 .163439E+01 -.224126E-02 .119261E-02 .999356E-03 -.986876E-05 71 .165935E+01 -.215450E-02 .116462E-02 .961137E-03 -.294199E-04 72 .168359E+01 -.207502E-02 .116421E-02 .905375E-03 -.527206E-04 73 .170711E+01 -.200199E-02 .119650E-02 .830709E-03 -.842404E-04 74 .172986E+01 -.193437E-02 .126086E-02 .738795E-03 -.126311E-03 75 .175184E+01 -.187284E-02 .135819E-02 .633634E-03 -.181828E-03 76 .177301E+01 -.182078E-02 .148782E-02 .513629E-03 -.244930E-03 77 .179335E+01 -.178123E-02 .165192E-02 .373837E-03 -.309353E-03 78 .181285E+01 -.175393E-02 .185061E-02 .216624E-03 -.377734E-03 79 .183147E+01 -.173591E-02 .208371E-02 .573711E-04 -.468631E-03 80 .184920E+01 -.172551E-02 .234535E-02 -.839046E-04 -.598226E-03 81 .186603E+01 -.172596E-02 .262726E-02 -.188814E-03 -.773238E-03 82 .188192E+01 -.174547E-02 .291393E-02 -.242505E-03 -.985198E-03 83 .189687E+01 -.179761E-02 .318704E-02 -.232531E-03 -.121421E-02 84 .191086E+01 -.190244E-02 .342116E-02 -.155025E-03 -.141864E-02 85 .192388E+01 -.208863E-02 .359031E-02 -.220104E-04 -.153129E-02 86 .193591E+01 -.239350E-02 .366641E-02 .132433E-03 -.145303E-02 87 .194693E+01 -.285701E-02 .362790E-02 .259745E-03 -.107338E-02 88 .195694E+01 -.350899E-02 .346075E-02 .317039E-03 -.306034E-03 89 .196593E+01 -.435329E-02 .316592E-02 .293061E-03 .863191E-03 90 .197388E+01 -.535978E-02 .275797E-02 .213601E-03 .236322E-02 91 .198079E+01 -.646964E-02 .226652E-02 .123122E-03 .406089E-02 92 .198664E+01 -.761023E-02 .173091E-02 .547300E-04 .581082E-02 93 .199144E+01 -.870502E-02 .119797E-02 .178083E-04 .747969E-02 94 .199518E+01 -.967625E-02 .716385E-03 .365829E-05 .895046E-02 95 .199786E+01 -.104455E-01 .332732E-03 .399724E-06 .101081E-01 96 .199946E+01 -.109417E-01 .854013E-04 -.323923E-07 .108569E-01 97 .200000E+01 -.111133E-01 -.410506E-18 .768179E-07 .111487E-01 Budget for uv j y/delta Diss Prod p_strain Pres_diff Turb_diff Visc_diff 1 .000000E+00 .227927E-17 -.347460E-31 .811951E-01 -.812153E-01 -.154965E-06 .143182E-04 2 .535413E-03 .293562E-03 -.521854E-08 .809773E-01 -.808211E-01 .704517E-07 -.438252E-03 3 .214108E-02 .122517E-02 -.124005E-05 .790429E-01 -.784542E-01 -.195727E-05 -.182165E-02 4 .481527E-02 .291563E-02 -.281059E-04 .726539E-01 -.712069E-01 -.419831E-04 -.427994E-02 5 .855514E-02 .541613E-02 -.236886E-03 .602371E-01 -.573304E-01 -.345737E-03 -.775000E-02 6 .133567E-01 .843361E-02 -.113771E-02 .435288E-01 -.377899E-01 -.155949E-02 -.114523E-01 7 .192147E-01 .111401E-01 -.376244E-02 .275889E-01 -.167422E-01 -.453252E-02 -.136871E-01 8 .261230E-01 .124810E-01 -.946333E-02 .185378E-01 .441800E-03 -.915173E-02 -.127960E-01 9 .340742E-01 .119053E-01 -.192034E-01 .203587E-01 .906159E-02 -.133853E-01 -.871545E-02 10 .430597E-01 .977475E-02 -.327241E-01 .326992E-01 .781498E-02 -.142926E-01 -.321620E-02 11 .530699E-01 .703933E-02 -.483168E-01 .511461E-01 -.104597E-02 -.103189E-01 .150737E-02 12 .640941E-01 .458537E-02 -.634807E-01 .697732E-01 -.126980E-01 -.240493E-02 .426024E-02 13 .761205E-01 .285683E-02 -.759606E-01 .840179E-01 -.229563E-01 .691612E-02 .509176E-02 14 .891362E-01 .188815E-02 -.844534E-01 .920278E-01 -.293287E-01 .151515E-01 .469725E-02 15 .103127E+00 .151133E-02 -.887165E-01 .941689E-01 -.316916E-01 .208556E-01 .379032E-02 16 .118079E+00 .152622E-02 -.892550E-01 .919849E-01 -.308495E-01 .237033E-01 .283552E-02 17 .133975E+00 .176985E-02 -.869197E-01 .871938E-01 -.281401E-01 .239595E-01 .204370E-02 18 .150798E+00 .213310E-02 -.826397E-01 .810873E-01 -.242994E-01 .221979E-01 .144981E-02 19 .168530E+00 .253533E-02 -.772721E-01 .744063E-01 -.200668E-01 .192700E-01 .101444E-02 20 .187153E+00 .291412E-02 -.714790E-01 .675128E-01 -.157314E-01 .159884E-01 .709361E-03 21 .206647E+00 .323411E-02 -.657264E-01 .606079E-01 -.114925E-01 .127943E-01 .494930E-03 22 .226990E+00 .348055E-02 -.602963E-01 .541464E-01 -.761783E-02 .984694E-02 .350568E-03 23 .248160E+00 .365720E-02 -.553499E-01 .483834E-01 -.435028E-02 .731893E-02 .247172E-03 24 .270136E+00 .376239E-02 -.509127E-01 .432706E-01 -.153759E-02 .515761E-02 .169882E-03 25 .292893E+00 .379407E-02 -.469105E-01 .388129E-01 .788432E-03 .331942E-02 .123981E-03 26 .316408E+00 .376648E-02 -.433040E-01 .350821E-01 .243264E-02 .187245E-02 .897878E-04 27 .340654E+00 .368965E-02 -.400680E-01 .319846E-01 .355201E-02 .729698E-03 .683454E-04 28 .365607E+00 .358045E-02 -.371964E-01 .292493E-01 .437115E-02 -.127063E-03 .510696E-04 29 .391239E+00 .345231E-02 -.346324E-01 .267405E-01 .506164E-02 -.702959E-03 .325776E-04 30 .417522E+00 .329647E-02 -.322621E-01 .246100E-01 .542842E-02 -.115621E-02 .252066E-04 31 .444430E+00 .312143E-02 -.300555E-01 .228136E-01 .563316E-02 -.157494E-02 .216668E-04 32 .471932E+00 .294091E-02 -.280365E-01 .213574E-01 .554423E-02 -.186368E-02 .216977E-04 33 .500000E+00 .276728E-02 -.262438E-01 .201279E-01 .522035E-02 -.190675E-02 .174795E-04 34 .528603E+00 .260180E-02 -.246536E-01 .190201E-01 .480742E-02 -.179641E-02 .105910E-04 35 .557711E+00 .243810E-02 -.231872E-01 .180215E-01 .438972E-02 -.166262E-02 .726710E-05 36 .587293E+00 .228397E-02 -.218182E-01 .170317E-01 .405193E-02 -.155716E-02 .694477E-05 37 .617317E+00 .214324E-02 -.205535E-01 .160105E-01 .389101E-02 -.148077E-02 .337658E-05 38 .647750E+00 .200709E-02 -.193750E-01 .150860E-01 .373659E-02 -.144480E-02 .385346E-05 39 .678561E+00 .187777E-02 -.182893E-01 .143117E-01 .350947E-02 -.139049E-02 .293011E-05 40 .709715E+00 .175906E-02 -.172859E-01 .135858E-01 .328441E-02 -.132430E-02 .123634E-05 41 .741181E+00 .164716E-02 -.163228E-01 .128792E-01 .308304E-02 -.125161E-02 -.183994E-05 42 .772924E+00 .153700E-02 -.153622E-01 .121420E-01 .291687E-02 -.120896E-02 -.779399E-06 43 .804910E+00 .143296E-02 -.144271E-01 .113189E-01 .295431E-02 -.124458E-02 .457577E-07 44 .837105E+00 .133916E-02 -.135450E-01 .104824E-01 .305940E-02 -.131468E-02 -.891860E-06 45 .869474E+00 .125465E-02 -.127027E-01 .969286E-02 .317506E-02 -.137750E-02 -.154150E-05 46 .901983E+00 .117563E-02 -.118916E-01 .898758E-02 .313406E-02 -.136955E-02 -.206638E-05 47 .934597E+00 .109944E-02 -.111083E-01 .846182E-02 .291120E-02 -.131664E-02 .490304E-06 48 .967281E+00 .103167E-02 -.103910E-01 .804320E-02 .264195E-02 -.128751E-02 .286933E-05 49 .100000E+01 .972773E-03 -.976509E-02 .764637E-02 .251151E-02 -.131884E-02 .303269E-05 50 .103272E+01 .920061E-03 -.922244E-02 .726629E-02 .245265E-02 -.136901E-02 .186422E-05 51 .106540E+01 .871520E-03 -.873069E-02 .688558E-02 .241963E-02 -.140189E-02 .632678E-06 52 .109802E+01 .824921E-03 -.826617E-02 .650423E-02 .236798E-02 -.138846E-02 .339645E-06 53 .113053E+01 .778795E-03 -.781500E-02 .612747E-02 .229484E-02 -.134605E-02 -.144742E-05 54 .116290E+01 .731721E-03 -.736069E-02 .578561E-02 .222428E-02 -.133590E-02 -.144810E-05 55 .119509E+01 .684471E-03 -.690498E-02 .546695E-02 .218136E-02 -.139498E-02 -.659981E-06 56 .122708E+01 .638308E-03 -.646589E-02 .510856E-02 .225259E-02 -.149210E-02 .846828E-06 57 .125882E+01 .594476E-03 -.605755E-02 .469565E-02 .237821E-02 -.158100E-02 .163270E-05 58 .129028E+01 .553788E-03 -.568758E-02 .428026E-02 .253943E-02 -.164389E-02 .242974E-05 59 .132144E+01 .517361E-03 -.535793E-02 .387460E-02 .269320E-02 -.170163E-02 .307525E-05 60 .135225E+01 .485395E-03 -.507038E-02 .347379E-02 .291670E-02 -.177006E-02 .328741E-05 61 .138268E+01 .457201E-03 -.481746E-02 .310653E-02 .311573E-02 -.184350E-02 .237747E-05 62 .141271E+01 .431800E-03 -.458767E-02 .279902E-02 .329409E-02 -.190792E-02 .173859E-05 63 .144229E+01 .408050E-03 -.436992E-02 .253694E-02 .339568E-02 -.195804E-02 .998055E-06 64 .147140E+01 .384328E-03 -.415813E-02 .230876E-02 .348299E-02 -.199772E-02 .105848E-05 65 .150000E+01 .359808E-03 -.395070E-02 .209025E-02 .355273E-02 -.204443E-02 .154398E-05 66 .152807E+01 .335539E-03 -.375162E-02 .185203E-02 .368599E-02 -.210768E-02 .243718E-05 67 .155557E+01 .312504E-03 -.356393E-02 .158411E-02 .386526E-02 -.219171E-02 .257832E-05 68 .158248E+01 .290991E-03 -.338773E-02 .129795E-02 .410571E-02 -.229288E-02 .270528E-05 69 .160876E+01 .271200E-03 -.321993E-02 .100076E-02 .436154E-02 -.240491E-02 .255889E-05 70 .163439E+01 .252700E-03 -.305682E-02 .698400E-03 .464452E-02 -.252358E-02 .263634E-05 71 .165935E+01 .234867E-03 -.289433E-02 .405830E-03 .491369E-02 -.264897E-02 .338370E-05 72 .168359E+01 .217812E-03 -.273155E-02 .128280E-03 .517449E-02 -.277384E-02 .478273E-05 73 .170711E+01 .202389E-03 -.256757E-02 -.140510E-03 .540687E-02 -.288781E-02 .530286E-05 74 .172986E+01 .189254E-03 -.239926E-02 -.399740E-03 .560646E-02 -.297842E-02 .461099E-05 75 .175184E+01 .178517E-03 -.222104E-02 -.634090E-03 .573559E-02 -.303787E-02 .282743E-05 76 .177301E+01 .170382E-03 -.202868E-02 -.823830E-03 .576911E-02 -.306109E-02 .601911E-06 77 .179335E+01 .165530E-03 -.182040E-02 -.946780E-03 .568267E-02 -.304763E-02 -.243249E-05 78 .181285E+01 .164712E-03 -.159765E-02 -.973660E-03 .543485E-02 -.299153E-02 -.603745E-05 79 .183147E+01 .168925E-03 -.136471E-02 -.863910E-03 .499097E-02 -.288201E-02 -.108925E-04 80 .184920E+01 .179237E-03 -.112849E-02 -.573210E-03 .428054E-02 -.270565E-02 -.178955E-04 81 .186603E+01 .196477E-03 -.897395E-03 -.493701E-04 .328214E-02 -.245785E-02 -.291070E-04 82 .188192E+01 .220806E-03 -.680502E-03 .760567E-03 .192486E-02 -.214377E-02 -.466670E-04 83 .189687E+01 .251436E-03 -.486591E-03 .191159E-02 .225751E-03 -.178098E-02 -.735082E-04 84 .191086E+01 .285979E-03 -.323199E-03 .343860E-02 -.186579E-02 -.139302E-02 -.111731E-03 85 .192388E+01 .319840E-03 -.195338E-03 .534840E-02 -.425637E-02 -.100983E-02 -.161721E-03 86 .193591E+01 .345863E-03 -.104314E-03 .758499E-02 -.692530E-02 -.661733E-03 -.218821E-03 87 .194693E+01 .355493E-03 -.470005E-04 .100313E-01 -.965181E-02 -.378321E-03 -.271922E-03 88 .195694E+01 .341689E-03 -.163493E-04 .125029E-01 -.123378E-01 -.177880E-03 -.304954E-03 89 .196593E+01 .302912E-03 -.332064E-05 .148050E-01 -.147067E-01 -.621695E-04 -.304964E-03 90 .197388E+01 .245108E-03 .455320E-06 .167649E-01 -.167323E-01 -.116202E-04 -.270220E-03 91 .198079E+01 .179659E-03 .731807E-06 .182950E-01 -.182378E-01 .170584E-05 -.212168E-03 92 .198664E+01 .118293E-03 .328470E-06 .193733E-01 -.193583E-01 .220379E-05 -.147570E-03 93 .199144E+01 .689231E-04 .821642E-07 .200589E-01 -.200128E-01 .590151E-06 -.903416E-04 94 .199518E+01 .343889E-04 .107015E-07 .204312E-01 -.204367E-01 .192911E-06 -.471398E-04 95 .199786E+01 .135074E-04 .494963E-09 .206041E-01 -.205747E-01 -.867745E-07 -.195031E-04 96 .199946E+01 .306728E-05 .212842E-11 .206601E-01 -.206809E-01 .916751E-07 -.397490E-05 97 .200000E+01 -.335564E-19 .365822E-33 .206750E-01 -.206295E-01 -.183218E-06 .744032E-05 Budget for k j y/delta Diss Prod Pres_diff Turb_diff Visc_diff 1 .000000E+00 -.204691E+00 .109270E-30 .126193E-05 -.142702E-05 .204692E+00 2 .535413E-03 -.202094E+00 .492686E-06 .130832E-02 .149940E-05 .200788E+00 3 .214108E-02 -.195383E+00 .320849E-04 .473547E-02 .492187E-04 .190581E+00 4 .481527E-02 -.186899E+00 .374526E-03 .901244E-02 .570859E-03 .176974E+00 5 .855514E-02 -.178414E+00 .215030E-02 .127196E-01 .313088E-02 .160463E+00 6 .133567E-01 -.169790E+00 .821393E-02 .148986E-01 .108310E-01 .135908E+00 7 .192147E-01 -.159427E+00 .235199E-01 .153643E-01 .254621E-01 .951437E-01 8 .261230E-01 -.147075E+00 .532119E-01 .144873E-01 .412951E-01 .381347E-01 9 .340742E-01 -.135839E+00 .978728E-01 .127897E-01 .450390E-01 -.198295E-01 10 .430597E-01 -.129429E+00 .149777E+00 .105929E-01 .280264E-01 -.589577E-01 11 .530699E-01 -.128085E+00 .195509E+00 .804324E-02 -.389989E-02 -.715475E-01 12 .640941E-01 -.128807E+00 .223772E+00 .528570E-02 -.359410E-01 -.642683E-01 13 .761205E-01 -.128470E+00 .231052E+00 .262329E-02 -.566035E-01 -.485531E-01 14 .891362E-01 -.125688E+00 .221064E+00 .425735E-03 -.630489E-01 -.326812E-01 15 .103127E+00 -.120581E+00 .200579E+00 -.104137E-02 -.587404E-01 -.201503E-01 16 .118079E+00 -.113869E+00 .175807E+00 -.174366E-02 -.488156E-01 -.113044E-01 17 .133975E+00 -.106176E+00 .150928E+00 -.184715E-02 -.372699E-01 -.552503E-02 18 .150798E+00 -.979884E-01 .128189E+00 -.152636E-02 -.265477E-01 -.204282E-02 19 .168530E+00 -.897357E-01 .108520E+00 -.990200E-03 -.177186E-01 -.673652E-05 20 .187153E+00 -.816763E-01 .920468E-01 -.433566E-03 -.108509E-01 .992298E-03 21 .206647E+00 -.740601E-01 .785173E-01 .150009E-04 -.583887E-02 .142104E-02 22 .226990E+00 -.670267E-01 .675174E-01 .359747E-03 -.234510E-02 .153733E-02 23 .248160E+00 -.606248E-01 .586235E-01 .589385E-03 .327387E-04 .143287E-02 24 .270136E+00 -.548900E-01 .514112E-01 .711408E-03 .151879E-02 .128509E-02 25 .292893E+00 -.497430E-01 .454879E-01 .740504E-03 .253207E-02 .100764E-02 26 .316408E+00 -.451674E-01 .405825E-01 .746227E-03 .311471E-02 .729146E-03 27 .340654E+00 -.411445E-01 .364935E-01 .748910E-03 .329892E-02 .584671E-03 28 .365607E+00 -.375997E-01 .330800E-01 .734445E-03 .326848E-02 .498971E-03 29 .391239E+00 -.344625E-01 .301961E-01 .679488E-03 .310990E-02 .430106E-03 30 .417522E+00 -.316516E-01 .276763E-01 .579264E-03 .295353E-02 .375166E-03 31 .444430E+00 -.291091E-01 .254430E-01 .443453E-03 .285626E-02 .294346E-03 32 .471932E+00 -.268418E-01 .234742E-01 .273365E-03 .278270E-02 .214434E-03 33 .500000E+00 -.248345E-01 .217679E-01 .676769E-04 .267740E-02 .187303E-03 34 .528603E+00 -.230492E-01 .202807E-01 -.118590E-03 .252698E-02 .219530E-03 35 .557711E+00 -.214372E-01 .189343E-01 -.274874E-03 .240108E-02 .234911E-03 36 .587293E+00 -.199658E-01 .176975E-01 -.374483E-03 .230685E-02 .205440E-03 37 .617317E+00 -.186216E-01 .165671E-01 -.448058E-03 .218488E-02 .176376E-03 38 .647750E+00 -.173977E-01 .155229E-01 -.510927E-03 .207825E-02 .169790E-03 39 .678561E+00 -.162872E-01 .145671E-01 -.592097E-03 .200579E-02 .158544E-03 40 .709715E+00 -.152700E-01 .136911E-01 -.639012E-03 .193740E-02 .129582E-03 41 .741181E+00 -.143305E-01 .128607E-01 -.666846E-03 .186843E-02 .108032E-03 42 .772924E+00 -.134574E-01 .120440E-01 -.686727E-03 .186009E-02 .739976E-04 43 .804910E+00 -.126550E-01 .112537E-01 -.731277E-03 .189913E-02 .518100E-04 44 .837105E+00 -.119152E-01 .105077E-01 -.763995E-03 .195055E-02 .386396E-04 45 .869474E+00 -.112357E-01 .979481E-02 -.772289E-03 .198943E-02 .362600E-04 46 .901983E+00 -.106084E-01 .910832E-02 -.762358E-03 .204417E-02 .335266E-04 47 .934597E+00 -.100173E-01 .844565E-02 -.749049E-03 .212579E-02 .909020E-05 48 .967281E+00 -.947310E-02 .783424E-02 -.728116E-03 .218279E-02 .125028E-05 49 .100000E+01 -.897469E-02 .729217E-02 -.707272E-03 .220087E-02 .515088E-05 50 .103272E+01 -.851536E-02 .681401E-02 -.692551E-03 .219378E-02 .197009E-04 51 .106540E+01 -.808745E-02 .637705E-02 -.678551E-03 .217944E-02 .261781E-04 52 .109802E+01 -.768740E-02 .596487E-02 -.661148E-03 .218235E-02 .178247E-04 53 .113053E+01 -.731550E-02 .556785E-02 -.653575E-03 .220573E-02 .146037E-04 54 .116290E+01 -.696413E-02 .517501E-02 -.667740E-03 .225439E-02 .202776E-04 55 .119509E+01 -.662711E-02 .478808E-02 -.692889E-03 .232877E-02 .247373E-04 56 .122708E+01 -.630919E-02 .441958E-02 -.727925E-03 .241062E-02 .333349E-04 57 .125882E+01 -.601166E-02 .407884E-02 -.754799E-03 .249237E-02 .333223E-04 58 .129028E+01 -.573394E-02 .377068E-02 -.784640E-03 .256078E-02 .306321E-04 59 .132144E+01 -.547448E-02 .349568E-02 -.819216E-03 .262669E-02 .257011E-04 60 .135225E+01 -.523446E-02 .325416E-02 -.872370E-03 .268351E-02 .271670E-04 61 .138268E+01 -.500976E-02 .304084E-02 -.925388E-03 .272850E-02 .311386E-04 62 .141271E+01 -.479736E-02 .284832E-02 -.981792E-03 .276363E-02 .348827E-04 63 .144229E+01 -.459281E-02 .266954E-02 -.103147E-02 .279837E-02 .295540E-04 64 .147140E+01 -.439650E-02 .250042E-02 -.108024E-02 .282538E-02 .264613E-04 65 .150000E+01 -.420765E-02 .233961E-02 -.111918E-02 .284766E-02 .204496E-04 66 .152807E+01 -.402711E-02 .218907E-02 -.115413E-02 .286880E-02 .607411E-05 67 .155557E+01 -.385674E-02 .205022E-02 -.118485E-02 .288860E-02 -.107789E-04 68 .158248E+01 -.369412E-02 .192300E-02 -.122129E-02 .291272E-02 -.343182E-04 69 .160876E+01 -.353912E-02 .180563E-02 -.125907E-02 .294848E-02 -.667694E-04 70 .163439E+01 -.339157E-02 .169612E-02 -.130152E-02 .298702E-02 -.102603E-03 71 .165935E+01 -.325122E-02 .159224E-02 -.133432E-02 .302449E-02 -.141699E-03 72 .168359E+01 -.311850E-02 .149341E-02 -.135319E-02 .305270E-02 -.187707E-03 73 .170711E+01 -.299416E-02 .139890E-02 -.133884E-02 .306565E-02 -.242967E-03 74 .172986E+01 -.287931E-02 .130680E-02 -.129129E-02 .305546E-02 -.306671E-03 75 .175184E+01 -.277625E-02 .121390E-02 -.119504E-02 .302101E-02 -.377113E-03 76 .177301E+01 -.268811E-02 .111754E-02 -.105467E-02 .295839E-02 -.451050E-03 77 .179335E+01 -.261811E-02 .101599E-02 -.855788E-03 .286433E-02 -.522969E-03 78 .181285E+01 -.256797E-02 .908844E-03 -.604248E-03 .273616E-02 -.593345E-03 79 .183147E+01 -.253823E-02 .796752E-03 -.287654E-03 .258101E-02 -.671464E-03 80 .184920E+01 -.253079E-02 .681382E-03 .841001E-04 .240740E-02 -.765458E-03 81 .186603E+01 -.255087E-02 .565011E-03 .513412E-03 .222482E-02 -.873935E-03 82 .188192E+01 -.260699E-02 .450577E-03 .978328E-03 .203890E-02 -.983540E-03 83 .189687E+01 -.271083E-02 .341652E-03 .146374E-02 .185555E-02 -.106812E-02 84 .191086E+01 -.287735E-02 .242513E-03 .193245E-02 .167423E-02 -.108649E-02 85 .192388E+01 -.312513E-02 .157710E-03 .235434E-02 .148922E-02 -.981517E-03 86 .193591E+01 -.347576E-02 .911548E-04 .268507E-02 .128642E-02 -.683927E-03 87 .194693E+01 -.395098E-02 .447054E-04 .289381E-02 .105590E-02 -.127515E-03 88 .195694E+01 -.456735E-02 .170492E-04 .294859E-02 .800638E-03 .728215E-03 89 .196593E+01 -.533019E-02 .384158E-05 .284225E-02 .546037E-03 .187933E-02 90 .197388E+01 -.622900E-02 -.596630E-06 .257862E-02 .325246E-03 .327829E-02 91 .198079E+01 -.723519E-02 -.112490E-05 .218953E-02 .164413E-03 .484767E-02 92 .198664E+01 -.830146E-02 -.626651E-06 .171453E-02 .671196E-04 .649485E-02 93 .199144E+01 -.936159E-02 -.212670E-06 .121131E-02 .208606E-04 .811375E-02 94 .199518E+01 -.103323E-01 -.434454E-07 .734642E-03 .406472E-05 .958358E-02 95 .199786E+01 -.111203E-01 -.409133E-08 .345537E-03 .525839E-06 .107698E-01 96 .199946E+01 -.116367E-01 -.659592E-10 .886746E-04 -.116177E-06 .115469E-01 97 .200000E+01 -.118168E-01 -.996426E-33 .943054E-06 .245513E-06 .118315E-01 Budget for Dissipation Rate of k j y/delta Prod_mean_grad Mixed_prod Grad_prod Turb_prod Pres_trans Turb_ trans Visc_trans Diss 1 .000000E+00 .227927E-17 .780528E-18 .460806E-19 .330142E-18 -.931931E-03 .788172E-06 .310472E-01 -.313700E-01 2 .535413E-03 .293482E-03 -.296964E-05 -.402062E-07 .346618E-03 -.801067E-03 .114166E-03 .281797E-01 -.266013E-01 3 .214108E-02 .122380E-02 -.337121E-04 -.730622E-06 .141431E-02 -.463509E-03 .460448E-03 .210409E-01 -.220969E-01 4 .481527E-02 .290741E-02 -.773235E-04 -.529121E-05 .326958E-02 -.617309E-04 .104102E-02 .125337E-01 -.180260E-01 5 .855514E-02 .538088E-02 .499898E-04 -.300331E-04 .578110E-02 .258773E-03 .167720E-02 .485924E-02 -.163710E-01 6 .133567E-01 .830608E-02 .691825E-03 -.135808E-03 .815450E-02 .416236E-03 .164094E-02 -.402657E-04 -.174488E-01 7 .192147E-01 .107601E-01 .213784E-02 -.445415E-03 .920843E-02 .422704E-03 .378857E-03 -.451069E-03 -.205136E-01 8 .261230E-01 .116010E-01 .433677E-02 -.100160E-02 .876000E-02 .338742E-03 -.106274E-02 .214849E-02 -.237669E-01 9 .340742E-01 .103604E-01 .678793E-02 -.149838E-02 .795896E-02 .226384E-03 -.119329E-02 .372195E-02 -.251398E-01 10 .430597E-01 .770342E-02 .876720E-02 -.140930E-02 .779496E-02 .125970E-03 -.404804E-03 .270016E-02 -.241365E-01 11 .530699E-01 .485379E-02 .973870E-02 -.599057E-03 .819419E-02 .563940E-04 -.685543E-04 .772908E-03 -.218571E-01 12 .640941E-01 .268192E-02 .961435E-02 .471935E-03 .863231E-02 .136728E-04 -.515574E-03 -.407804E-03 -.194288E-01 13 .761205E-01 .138353E-02 .868438E-02 .124614E-02 .882470E-02 -.166568E-04 -.115067E-02 -.663495E-03 -.172772E-01 14 .891362E-01 .745165E-03 .736067E-02 .151784E-02 .876171E-02 -.427309E-04 -.146998E-02 -.482385E-03 -.154139E-01 15 .103127E+00 .482174E-03 .597512E-02 .140719E-02 .851424E-02 -.656188E-04 -.139975E-02 -.239822E-03 -.137695E-01 16 .118079E+00 .393049E-03 .471750E-02 .112457E-02 .813908E-02 -.822527E-04 -.110427E-02 -.929050E-04 -.122828E-01 17 .133975E+00 .369152E-03 .366275E-02 .821956E-03 .765747E-02 -.875781E-04 -.758982E-03 -.657290E-05 -.109439E-01 18 .150798E+00 .362848E-03 .281790E-02 .568063E-03 .707859E-02 -.857294E-04 -.447694E-03 .558810E-04 -.973432E-02 19 .168530E+00 .355163E-03 .216009E-02 .379342E-03 .644428E-02 -.802833E-04 -.191832E-03 .750817E-04 -.862370E-02 20 .187153E+00 .340129E-03 .165646E-02 .248286E-03 .577711E-02 -.691212E-04 -.956912E-05 .950671E-04 -.761213E-02 21 .206647E+00 .318622E-03 .127505E-02 .160862E-03 .511864E-02 -.543826E-04 .112276E-03 .964747E-04 -.668717E-02 22 .226990E+00 .293415E-03 .988000E-03 .103857E-03 .449961E-02 -.409862E-04 .194209E-03 .878214E-04 -.585567E-02 23 .248160E+00 .267551E-03 .772513E-03 .671989E-04 .393771E-02 -.310291E-04 .230903E-03 .829054E-04 -.512367E-02 24 .270136E+00 .242090E-03 .610264E-03 .442147E-04 .344185E-02 -.221216E-04 .252595E-03 .646260E-04 -.447806E-02 25 .292893E+00 .217222E-03 .486729E-03 .297125E-04 .299932E-02 -.122342E-04 .252527E-03 .579372E-04 -.391992E-02 26 .316408E+00 .193911E-03 .392070E-03 .202890E-04 .261638E-02 -.517103E-05 .245753E-03 .511997E-04 -.343598E-02 27 .340654E+00 .172496E-03 .319204E-03 .140685E-04 .229193E-02 -.131022E-05 .228647E-03 .408382E-04 -.301591E-02 28 .365607E+00 .153482E-03 .262703E-03 .986845E-05 .201467E-02 .199644E-05 .207944E-03 .329913E-04 -.265625E-02 29 .391239E+00 .136845E-03 .218323E-03 .724198E-05 .177859E-02 .294057E-05 .189587E-03 .250774E-04 -.234782E-02 30 .417522E+00 .121472E-03 .182907E-03 .558765E-05 .157379E-02 .353833E-05 .169178E-03 .192793E-04 -.207900E-02 31 .444430E+00 .107369E-03 .154305E-03 .438689E-05 .139406E-02 .339375E-05 .150203E-03 .190090E-04 -.184622E-02 32 .471932E+00 .948750E-04 .131069E-03 .343432E-05 .124046E-02 .402250E-05 .132766E-03 .166688E-04 -.164379E-02 33 .500000E+00 .842517E-04 .112240E-03 .266250E-05 .110900E-02 .526668E-05 .117933E-03 .136612E-04 -.146904E-02 34 .528603E+00 .751945E-04 .969935E-04 .215592E-05 .996123E-03 .581432E-05 .102961E-03 .102150E-04 -.131784E-02 35 .557711E+00 .670945E-04 .844778E-04 .184084E-05 .896886E-03 .549445E-05 .901528E-04 .803374E-05 -.118540E-02 36 .587293E+00 .599741E-04 .738495E-04 .157297E-05 .810264E-03 .427272E-05 .798655E-04 .703848E-05 -.106977E-02 37 .617317E+00 .538359E-04 .647697E-04 .135931E-05 .734304E-03 .259308E-05 .731720E-04 .635027E-05 -.968172E-03 38 .647750E+00 .483150E-04 .570965E-04 .118796E-05 .665678E-03 .218233E-05 .650452E-04 .586515E-05 -.878801E-03 39 .678561E+00 .434265E-04 .506595E-04 .101538E-05 .603904E-03 .291992E-05 .600068E-04 .456070E-05 -.799592E-03 40 .709715E+00 .391799E-04 .451560E-04 .902900E-06 .549865E-03 .291128E-05 .552760E-04 .380829E-05 -.729955E-03 41 .741181E+00 .353466E-04 .403317E-04 .869155E-06 .501893E-03 .196152E-05 .513886E-04 .302185E-05 -.667780E-03 42 .772924E+00 .317068E-04 .360253E-04 .872207E-06 .458861E-03 .151289E-05 .474955E-04 .332722E-05 -.611740E-03 43 .804910E+00 .283779E-04 .321950E-04 .820547E-06 .420127E-03 .153715E-05 .437970E-04 .270680E-05 -.560369E-03 44 .837105E+00 .254647E-04 .288395E-04 .776632E-06 .385315E-03 .181619E-05 .399885E-04 .263304E-05 -.514410E-03 45 .869474E+00 .228909E-04 .258276E-04 .747657E-06 .354953E-03 .106549E-05 .372827E-04 .228809E-05 -.473564E-03 46 .901983E+00 .205494E-04 .230798E-04 .738991E-06 .328105E-03 .781778E-06 .345196E-04 .134656E-05 -.436408E-03 47 .934597E+00 .183757E-04 .206209E-04 .704664E-06 .302448E-03 .463766E-06 .319777E-04 .201342E-05 -.402778E-03 48 .967281E+00 .165116E-04 .184982E-04 .611057E-06 .279178E-03 .300678E-06 .300510E-04 .182483E-05 -.371937E-03 49 .100000E+01 .149783E-04 .166970E-04 .502131E-06 .258153E-03 .756499E-08 .286335E-04 .156111E-05 -.344195E-03 50 .103272E+01 .136999E-04 .151749E-04 .419637E-06 .238857E-03 -.130611E-06 .270604E-04 .120255E-05 -.319045E-03 51 .106540E+01 .125851E-04 .138523E-04 .380526E-06 .221059E-03 -.279709E-06 .260126E-04 .105056E-05 -.296219E-03 52 .109802E+01 .115608E-04 .126803E-04 .361691E-06 .205385E-03 -.424434E-06 .244058E-04 .111239E-05 -.275734E-03 53 .113053E+01 .105844E-04 .116260E-04 .367776E-06 .191560E-03 -.287705E-06 .227519E-04 .764750E-06 -.257184E-03 54 .116290E+01 .961485E-05 .106470E-04 .392107E-06 .178854E-03 -.408550E-07 .211266E-04 .441576E-06 -.239816E-03 55 .119509E+01 .866757E-05 .973983E-05 .396265E-06 .166338E-03 .121052E-06 .199426E-04 .735311E-06 -.223600E-03 56 .122708E+01 .778212E-05 .893756E-05 .373500E-06 .154486E-03 .242747E-06 .190615E-04 .741873E-06 -.208494E-03 57 .125882E+01 .698786E-05 .823731E-05 .329680E-06 .143608E-03 .211109E-06 .184816E-04 .753119E-06 -.194709E-03 58 .129028E+01 .629747E-05 .762250E-05 .276798E-06 .133881E-03 -.109759E-06 .180453E-04 .637168E-06 -.181963E-03 59 .132144E+01 .571824E-05 .708735E-05 .215665E-06 .125069E-03 -.308849E-06 .172343E-04 .783458E-06 -.170263E-03 60 .135225E+01 .524664E-05 .663498E-05 .154149E-06 .116937E-03 -.151038E-06 .163337E-04 .532483E-06 -.159464E-03 61 .138268E+01 .486173E-05 .625630E-05 .105508E-06 .109248E-03 -.210797E-07 .157597E-04 .462281E-06 -.149657E-03 62 .141271E+01 .453811E-05 .593468E-05 .734651E-07 .102196E-03 .474543E-07 .152635E-04 .183590E-06 -.140628E-03 63 .144229E+01 .425084E-05 .565147E-05 .544041E-07 .956174E-04 .635391E-07 .147299E-04 .268260E-06 -.132375E-03 64 .147140E+01 .397578E-05 .539814E-05 .421175E-07 .895065E-04 .101640E-06 .141959E-04 .194132E-06 -.124519E-03 65 .150000E+01 .370199E-05 .517292E-05 .271041E-07 .836459E-04 .420494E-07 .137907E-04 .242120E-06 -.117165E-03 66 .152807E+01 .344333E-05 .497437E-05 .434997E-08 .781554E-04 -.705735E-07 .134341E-04 .399704E-06 -.110374E-03 67 .155557E+01 .321187E-05 .479555E-05 -.224484E-07 .730459E-04 -.275966E-06 .133982E-04 .206618E-06 -.103863E-03 68 .158248E+01 .301013E-05 .463597E-05 -.476359E-07 .681338E-04 -.317143E-06 .132118E-04 .242829E-06 -.978576E-04 69 .160876E+01 .283735E-05 .449404E-05 -.685066E-07 .635731E-04 -.278402E-06 .130248E-04 .226545E-06 -.923551E-04 70 .163439E+01 .268612E-05 .436992E-05 -.831304E-07 .593855E-04 -.103689E-06 .128317E-04 .216888E-06 -.874032E-04 71 .165935E+01 .254661E-05 .426123E-05 -.940471E-07 .555104E-04 .825012E-07 .125706E-04 .257026E-06 -.828908E-04 72 .168359E+01 .241949E-05 .416585E-05 -.105346E-06 .519248E-04 .309295E-06 .122697E-04 .329281E-06 -.787646E-04 73 .170711E+01 .231404E-05 .407762E-05 -.115379E-06 .485983E-04 .505105E-06 .120464E-04 .428432E-06 -.750159E-04 74 .172986E+01 .223652E-05 .398730E-05 -.120515E-06 .456262E-04 .777355E-06 .116847E-04 .669667E-06 -.717453E-04 75 .175184E+01 .218529E-05 .387965E-05 -.119510E-06 .431184E-04 .109732E-05 .111606E-04 .102681E-05 -.689568E-04 76 .177301E+01 .216041E-05 .373871E-05 -.114952E-06 .411368E-04 .153057E-05 .103807E-04 .148494E-05 -.666434E-04 77 .179335E+01 .216912E-05 .354876E-05 -.108501E-06 .397175E-04 .201204E-05 .950326E-05 .185624E-05 -.647759E-04 78 .181285E+01 .222122E-05 .329714E-05 -.100334E-06 .388759E-04 .261318E-05 .846272E-05 .215016E-05 -.633781E-04 79 .183147E+01 .233019E-05 .297301E-05 -.864432E-07 .385908E-04 .310596E-05 .740430E-05 .269473E-05 -.626526E-04 80 .184920E+01 .250934E-05 .256942E-05 -.567813E-07 .388563E-04 .357394E-05 .627775E-05 .389976E-05 -.629353E-04 81 .186603E+01 .276352E-05 .208412E-05 .100150E-07 .397428E-04 .360362E-05 .534694E-05 .597893E-05 -.646040E-04 82 .188192E+01 .307823E-05 .152377E-05 .147389E-06 .413296E-04 .337648E-05 .472718E-05 .928807E-05 -.681091E-04 83 .189687E+01 .340972E-05 .909997E-06 .400827E-06 .436428E-04 .253115E-05 .455836E-05 .143672E-04 -.741229E-04 84 .191086E+01 .367369E-05 .290422E-06 .808505E-06 .466639E-04 .152498E-05 .461908E-05 .222036E-04 -.835836E-04 85 .192388E+01 .374519E-05 -.256376E-06 .136741E-05 .503521E-04 .322635E-06 .473841E-05 .340375E-04 -.977030E-04 86 .193591E+01 .348617E-05 -.628974E-06 .197956E-05 .545828E-04 -.379959E-06 .458743E-05 .511423E-04 -.117702E-03 87 .194693E+01 .281799E-05 -.742346E-06 .244420E-05 .589877E-04 -.419409E-06 .423543E-05 .743955E-04 -.144341E-03 88 .195694E+01 .180995E-05 -.585172E-06 .254077E-05 .627613E-04 .589906E-06 .377510E-05 .104209E-03 -.177618E-03 89 .196593E+01 .703601E-06 -.255975E-06 .219809E-05 .646444E-04 .210599E-05 .360706E-05 .141188E-03 -.216983E-03 90 .197388E+01 -.194812E-06 .751218E-07 .156918E-05 .632702E-04 .316653E-05 .398217E-05 .186593E-03 -.262087E-03 91 .198079E+01 -.688883E-06 .266239E-06 .919198E-06 .577680E-04 .226433E-05 .514869E-05 .242628E-03 -.313216E-03 92 .198664E+01 -.781177E-06 .282900E-06 .436913E-06 .482597E-04 -.149288E-05 .642816E-05 .310581E-03 -.370572E-03 93 .199144E+01 -.618031E-06 .190754E-06 .163809E-06 .359655E-04 -.775446E-05 .681990E-05 .388931E-03 -.432531E-03 94 .199518E+01 -.372930E-06 .843348E-07 .451703E-07 .228427E-04 -.153159E-04 .559902E-05 .470190E-03 -.494297E-03 95 .199786E+01 -.164763E-06 .207211E-07 .765315E-08 .111158E-04 -.221574E-04 .326227E-05 .543279E-03 -.548126E-03 96 .199946E+01 -.399141E-07 .146547E-08 .422094E-09 .294198E-05 -.270651E-04 .938481E-06 .593710E-03 -.585238E-03 97 .200000E+01 .445788E-21 -.236063E-20 -.274560E-21 .292071E-19 -.290116E-04 .228547E-07 .609809E-03 -.190215E-02 4.3 One-dimensional Energy Spectra at Several Points 4.3.2 Streamwise Power Spectra at y/delta = 7.612050E-02 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .154846E+01 .800665E-02 .803751E-01 .400000E+00 .166165E+01 .157655E-01 .138935E+00 .800000E+00 .998846E+00 .138137E-01 .112795E+00 .120000E+01 .689363E+00 .123655E-01 .926968E-01 .160000E+01 .481898E+00 .108017E-01 .791099E-01 .200000E+01 .358195E+00 .970841E-02 .661026E-01 .240000E+01 .276866E+00 .879286E-02 .585996E-01 .280000E+01 .213213E+00 .770601E-02 .494499E-01 .320000E+01 .166944E+00 .690478E-02 .428666E-01 .360000E+01 .134680E+00 .623422E-02 .380725E-01 .400000E+01 .108262E+00 .550321E-02 .327584E-01 .440000E+01 .870826E-01 .492606E-02 .282765E-01 .480000E+01 .704388E-01 .447643E-02 .245692E-01 .520000E+01 .587170E-01 .400094E-02 .220214E-01 .560000E+01 .474832E-01 .359333E-02 .186693E-01 .600000E+01 .391350E-01 .321767E-02 .163116E-01 .640000E+01 .325619E-01 .289276E-02 .141057E-01 .680000E+01 .268050E-01 .257050E-02 .122728E-01 .720000E+01 .226073E-01 .231935E-02 .107726E-01 .760000E+01 .193916E-01 .208878E-02 .937069E-02 .800000E+01 .161495E-01 .190032E-02 .811265E-02 .840000E+01 .135506E-01 .169404E-02 .710936E-02 .880000E+01 .115378E-01 .154087E-02 .623487E-02 .920000E+01 .975920E-02 .139560E-02 .542053E-02 .960000E+01 .833253E-02 .126638E-02 .477022E-02 .100000E+02 .703988E-02 .113806E-02 .413262E-02 .104000E+02 .612520E-02 .102488E-02 .362637E-02 .108000E+02 .528645E-02 .936839E-03 .316253E-02 .112000E+02 .461887E-02 .865119E-03 .282305E-02 .116000E+02 .401252E-02 .781602E-03 .247422E-02 .120000E+02 .346394E-02 .718465E-03 .222077E-02 .124000E+02 .301165E-02 .651532E-03 .194547E-02 .128000E+02 .268561E-02 .605978E-03 .173151E-02 .132000E+02 .232315E-02 .551990E-03 .153370E-02 .136000E+02 .205333E-02 .503822E-03 .135986E-02 .140000E+02 .181158E-02 .462153E-03 .122204E-02 .144000E+02 .162180E-02 .428041E-03 .109546E-02 .148000E+02 .143762E-02 .387858E-03 .976865E-03 .152000E+02 .128637E-02 .358565E-03 .882786E-03 .156000E+02 .115016E-02 .332705E-03 .796098E-03 .160000E+02 .104092E-02 .308517E-03 .717352E-03 .164000E+02 .917778E-03 .280729E-03 .639642E-03 .168000E+02 .828014E-03 .258587E-03 .583960E-03 .172000E+02 .745175E-03 .239602E-03 .532664E-03 .176000E+02 .677404E-03 .221335E-03 .475829E-03 .180000E+02 .618672E-03 .207847E-03 .437016E-03 .184000E+02 .562323E-03 .195591E-03 .402843E-03 .188000E+02 .512061E-03 .181248E-03 .369365E-03 .192000E+02 .470675E-03 .168254E-03 .342560E-03 .196000E+02 .432759E-03 .155872E-03 .313517E-03 .200000E+02 .397730E-03 .145113E-03 .285902E-03 .204000E+02 .366768E-03 .135892E-03 .264959E-03 .208000E+02 .341561E-03 .126556E-03 .245614E-03 .212000E+02 .318797E-03 .118162E-03 .225774E-03 .216000E+02 .298478E-03 .111019E-03 .212831E-03 .220000E+02 .281876E-03 .103752E-03 .200117E-03 .224000E+02 .264267E-03 .976261E-04 .187806E-03 .228000E+02 .248779E-03 .913060E-04 .175440E-03 .232000E+02 .236671E-03 .856029E-04 .165632E-03 .236000E+02 .225275E-03 .793775E-04 .157521E-03 .240000E+02 .214667E-03 .740124E-04 .148929E-03 .244000E+02 .206462E-03 .685096E-04 .142970E-03 .248000E+02 .206017E-03 .652517E-04 .141866E-03 .252000E+02 .209826E-03 .645535E-04 .144030E-03 at y/delta = 5.000000E-01 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .882414E+00 .580530E-01 .408723E-01 .400000E+00 .527733E+00 .739522E-01 .976234E-01 .800000E+00 .351494E+00 .659596E-01 .121417E+00 .120000E+01 .237056E+00 .561374E-01 .108956E+00 .160000E+01 .166183E+00 .554590E-01 .954387E-01 .200000E+01 .129568E+00 .508443E-01 .852292E-01 .240000E+01 .109065E+00 .458457E-01 .802173E-01 .280000E+01 .845491E-01 .399783E-01 .698076E-01 .320000E+01 .674026E-01 .367639E-01 .601597E-01 .360000E+01 .561016E-01 .341248E-01 .534262E-01 .400000E+01 .468710E-01 .308666E-01 .464636E-01 .440000E+01 .386976E-01 .274730E-01 .421272E-01 .480000E+01 .317259E-01 .250006E-01 .373805E-01 .520000E+01 .265606E-01 .220625E-01 .311981E-01 .560000E+01 .228916E-01 .204848E-01 .297323E-01 .600000E+01 .205606E-01 .186126E-01 .275170E-01 .640000E+01 .180671E-01 .169628E-01 .244838E-01 .680000E+01 .151314E-01 .156999E-01 .211357E-01 .720000E+01 .133073E-01 .137793E-01 .189960E-01 .760000E+01 .118050E-01 .126938E-01 .167328E-01 .800000E+01 .103076E-01 .114469E-01 .149316E-01 .840000E+01 .914313E-02 .105299E-01 .140024E-01 .880000E+01 .805197E-02 .984467E-02 .124632E-01 .920000E+01 .724412E-02 .882908E-02 .114594E-01 .960000E+01 .639589E-02 .800089E-02 .991880E-02 .100000E+02 .562049E-02 .715239E-02 .935656E-02 .104000E+02 .506116E-02 .659939E-02 .833396E-02 .108000E+02 .462951E-02 .598996E-02 .770076E-02 .112000E+02 .414145E-02 .560442E-02 .685689E-02 .116000E+02 .370688E-02 .506984E-02 .624447E-02 .120000E+02 .344150E-02 .464729E-02 .582600E-02 .124000E+02 .305442E-02 .419427E-02 .516686E-02 .128000E+02 .281367E-02 .391302E-02 .483510E-02 .132000E+02 .256261E-02 .357528E-02 .442078E-02 .136000E+02 .233038E-02 .332714E-02 .394279E-02 .140000E+02 .212627E-02 .311790E-02 .370298E-02 .144000E+02 .195202E-02 .287026E-02 .337959E-02 .148000E+02 .178687E-02 .258403E-02 .313296E-02 .152000E+02 .164330E-02 .244517E-02 .294546E-02 .156000E+02 .152642E-02 .226116E-02 .268238E-02 .160000E+02 .141257E-02 .215394E-02 .248806E-02 .164000E+02 .132089E-02 .199228E-02 .232153E-02 .168000E+02 .122485E-02 .184610E-02 .219382E-02 .172000E+02 .112953E-02 .172496E-02 .204021E-02 .176000E+02 .106300E-02 .162730E-02 .186308E-02 .180000E+02 .992751E-03 .152427E-02 .178801E-02 .184000E+02 .932811E-03 .144561E-02 .165981E-02 .188000E+02 .873602E-03 .134341E-02 .154582E-02 .192000E+02 .820999E-03 .129940E-02 .144606E-02 .196000E+02 .771154E-03 .122346E-02 .138157E-02 .200000E+02 .725084E-03 .114884E-02 .130405E-02 .204000E+02 .694827E-03 .109029E-02 .122128E-02 .208000E+02 .660589E-03 .105445E-02 .117936E-02 .212000E+02 .630513E-03 .101155E-02 .110836E-02 .216000E+02 .599717E-03 .963792E-03 .106424E-02 .220000E+02 .577586E-03 .931093E-03 .103145E-02 .224000E+02 .557026E-03 .897194E-03 .980645E-03 .228000E+02 .535674E-03 .858570E-03 .930758E-03 .232000E+02 .515079E-03 .832194E-03 .897073E-03 .236000E+02 .503829E-03 .801023E-03 .866945E-03 .240000E+02 .486824E-03 .791544E-03 .841897E-03 .244000E+02 .471630E-03 .771899E-03 .825606E-03 .248000E+02 .463772E-03 .767123E-03 .805011E-03 .252000E+02 .458275E-03 .768095E-03 .799573E-03 at y/delta = 1.000000 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .709102E+00 .471818E-01 .201684E-01 .400000E+00 .364079E+00 .478760E-01 .837727E-01 .800000E+00 .236796E+00 .530915E-01 .967404E-01 .120000E+01 .144005E+00 .453349E-01 .756559E-01 .160000E+01 .101089E+00 .474717E-01 .759870E-01 .200000E+01 .742003E-01 .437075E-01 .584940E-01 .240000E+01 .564907E-01 .398555E-01 .556171E-01 .280000E+01 .437132E-01 .333174E-01 .449304E-01 .320000E+01 .337774E-01 .304325E-01 .399061E-01 .360000E+01 .274296E-01 .276832E-01 .338211E-01 .400000E+01 .224191E-01 .241018E-01 .296710E-01 .440000E+01 .184388E-01 .198543E-01 .262910E-01 .480000E+01 .153521E-01 .178258E-01 .227136E-01 .520000E+01 .127230E-01 .156171E-01 .193191E-01 .560000E+01 .113174E-01 .148131E-01 .175397E-01 .600000E+01 .916216E-02 .130269E-01 .146062E-01 .640000E+01 .796321E-02 .114394E-01 .133192E-01 .680000E+01 .666427E-02 .987926E-02 .113971E-01 .720000E+01 .592699E-02 .887431E-02 .103644E-01 .760000E+01 .506275E-02 .801496E-02 .893343E-02 .800000E+01 .441790E-02 .712115E-02 .821938E-02 .840000E+01 .383537E-02 .637359E-02 .700336E-02 .880000E+01 .345814E-02 .583057E-02 .625262E-02 .920000E+01 .297199E-02 .510719E-02 .572214E-02 .960000E+01 .261894E-02 .459679E-02 .503567E-02 .100000E+02 .234002E-02 .421089E-02 .445535E-02 .104000E+02 .205920E-02 .364152E-02 .398762E-02 .108000E+02 .182877E-02 .332348E-02 .357842E-02 .112000E+02 .163630E-02 .300608E-02 .321805E-02 .116000E+02 .143978E-02 .277454E-02 .296864E-02 .120000E+02 .127396E-02 .243461E-02 .258983E-02 .124000E+02 .115749E-02 .221029E-02 .239568E-02 .128000E+02 .102240E-02 .197011E-02 .211774E-02 .132000E+02 .946783E-03 .181504E-02 .196156E-02 .136000E+02 .843961E-03 .162232E-02 .175776E-02 .140000E+02 .757328E-03 .149506E-02 .161128E-02 .144000E+02 .688785E-03 .141331E-02 .147746E-02 .148000E+02 .614368E-03 .124465E-02 .135416E-02 .152000E+02 .570686E-03 .115534E-02 .122098E-02 .156000E+02 .515909E-03 .106630E-02 .110125E-02 .160000E+02 .474299E-03 .100020E-02 .102420E-02 .164000E+02 .426758E-03 .889763E-03 .942414E-03 .168000E+02 .389928E-03 .833442E-03 .864742E-03 .172000E+02 .358607E-03 .774383E-03 .805108E-03 .176000E+02 .335570E-03 .714212E-03 .754308E-03 .180000E+02 .306010E-03 .662410E-03 .703167E-03 .184000E+02 .287099E-03 .619949E-03 .647899E-03 .188000E+02 .266428E-03 .579140E-03 .601225E-03 .192000E+02 .246550E-03 .544906E-03 .563587E-03 .196000E+02 .233023E-03 .512410E-03 .539869E-03 .200000E+02 .216902E-03 .484158E-03 .505677E-03 .204000E+02 .202730E-03 .452436E-03 .472799E-03 .208000E+02 .190045E-03 .430217E-03 .441678E-03 .212000E+02 .179402E-03 .406168E-03 .422784E-03 .216000E+02 .171254E-03 .393967E-03 .406581E-03 .220000E+02 .162557E-03 .372249E-03 .387121E-03 .224000E+02 .155228E-03 .363005E-03 .365558E-03 .228000E+02 .148597E-03 .344861E-03 .353446E-03 .232000E+02 .142449E-03 .332988E-03 .340156E-03 .236000E+02 .137637E-03 .325791E-03 .324641E-03 .240000E+02 .132785E-03 .315449E-03 .322014E-03 .244000E+02 .127494E-03 .309363E-03 .312955E-03 .248000E+02 .121520E-03 .299088E-03 .301122E-03 .252000E+02 .114719E-03 .290137E-03 .290274E-03 at y/delta = 1.793353 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .343401E+00 .425714E-02 .341259E-01 .400000E+00 .168724E+00 .797777E-02 .870023E-01 .800000E+00 .112374E+00 .912044E-02 .957671E-01 .120000E+01 .613499E-01 .846889E-02 .579424E-01 .160000E+01 .429252E-01 .883823E-02 .361075E-01 .200000E+01 .311801E-01 .867641E-02 .293446E-01 .240000E+01 .216947E-01 .812579E-02 .258041E-01 .280000E+01 .171737E-01 .803458E-02 .183802E-01 .320000E+01 .131384E-01 .741665E-02 .151261E-01 .360000E+01 .100922E-01 .701843E-02 .122277E-01 .400000E+01 .845590E-02 .675394E-02 .948430E-02 .440000E+01 .643040E-02 .585608E-02 .770312E-02 .480000E+01 .471258E-02 .513337E-02 .659892E-02 .520000E+01 .380733E-02 .494217E-02 .581115E-02 .560000E+01 .330739E-02 .431760E-02 .436756E-02 .600000E+01 .266599E-02 .383659E-02 .338105E-02 .640000E+01 .220495E-02 .337830E-02 .293257E-02 .680000E+01 .173297E-02 .296704E-02 .238814E-02 .720000E+01 .145670E-02 .270618E-02 .216504E-02 .760000E+01 .130463E-02 .234803E-02 .181002E-02 .800000E+01 .108147E-02 .205083E-02 .161223E-02 .840000E+01 .930710E-03 .189510E-02 .131166E-02 .880000E+01 .759507E-03 .167826E-02 .111671E-02 .920000E+01 .660396E-03 .142649E-02 .102121E-02 .960000E+01 .575322E-03 .129213E-02 .876269E-03 .100000E+02 .491516E-03 .112132E-02 .777477E-03 .104000E+02 .434986E-03 .102989E-02 .639133E-03 .108000E+02 .376682E-03 .902383E-03 .576977E-03 .112000E+02 .323567E-03 .804223E-03 .512083E-03 .116000E+02 .287458E-03 .705762E-03 .456501E-03 .120000E+02 .248223E-03 .630390E-03 .399381E-03 .124000E+02 .213477E-03 .538198E-03 .348271E-03 .128000E+02 .191812E-03 .484025E-03 .307950E-03 .132000E+02 .169243E-03 .447505E-03 .274951E-03 .136000E+02 .147321E-03 .389377E-03 .255680E-03 .140000E+02 .130893E-03 .345183E-03 .219191E-03 .144000E+02 .119241E-03 .304511E-03 .196856E-03 .148000E+02 .102698E-03 .267521E-03 .178528E-03 .152000E+02 .923679E-04 .245046E-03 .158147E-03 .156000E+02 .805232E-04 .218907E-03 .143222E-03 .160000E+02 .725654E-04 .196731E-03 .129439E-03 .164000E+02 .652459E-04 .173661E-03 .117417E-03 .168000E+02 .587455E-04 .159694E-03 .107736E-03 .172000E+02 .529240E-04 .144191E-03 .951647E-04 .176000E+02 .469815E-04 .128441E-03 .859876E-04 .180000E+02 .425737E-04 .116344E-03 .779926E-04 .184000E+02 .378258E-04 .107882E-03 .712095E-04 .188000E+02 .341413E-04 .953675E-04 .652261E-04 .192000E+02 .311802E-04 .887077E-04 .605115E-04 .196000E+02 .282529E-04 .792856E-04 .546432E-04 .200000E+02 .263522E-04 .734025E-04 .507516E-04 .204000E+02 .237068E-04 .685474E-04 .457090E-04 .208000E+02 .222539E-04 .627807E-04 .429126E-04 .212000E+02 .200493E-04 .568982E-04 .397619E-04 .216000E+02 .188126E-04 .528702E-04 .368767E-04 .220000E+02 .172854E-04 .489255E-04 .340340E-04 .224000E+02 .164006E-04 .462418E-04 .319440E-04 .228000E+02 .151039E-04 .423264E-04 .297260E-04 .232000E+02 .143157E-04 .396029E-04 .277508E-04 .236000E+02 .132741E-04 .372804E-04 .263963E-04 .240000E+02 .129948E-04 .363651E-04 .251050E-04 .244000E+02 .121521E-04 .349909E-04 .236555E-04 .248000E+02 .111441E-04 .328520E-04 .218696E-04 .252000E+02 .106348E-04 .310365E-04 .210069E-04 at y/delta = 1.923880 k_x*delta E(u*u) E(v*v) E(w*w) .000000E+00 .104838E+00 .358910E-03 .158604E-01 .400000E+00 .513325E-01 .734918E-03 .427072E-01 .800000E+00 .404014E-01 .787496E-03 .495090E-01 .120000E+01 .270921E-01 .781229E-03 .330540E-01 .160000E+01 .234927E-01 .807309E-03 .230947E-01 .200000E+01 .185647E-01 .801632E-03 .175506E-01 .240000E+01 .139889E-01 .818356E-03 .152640E-01 .280000E+01 .126923E-01 .779814E-03 .111754E-01 .320000E+01 .952463E-02 .766289E-03 .931573E-02 .360000E+01 .864179E-02 .763632E-03 .731368E-02 .400000E+01 .724039E-02 .746593E-03 .577079E-02 .440000E+01 .544721E-02 .678944E-03 .451188E-02 .480000E+01 .446788E-02 .648225E-03 .364937E-02 .520000E+01 .397136E-02 .645784E-03 .307667E-02 .560000E+01 .328683E-02 .579069E-03 .231579E-02 .600000E+01 .257012E-02 .529792E-03 .184758E-02 .640000E+01 .212113E-02 .490441E-03 .146275E-02 .680000E+01 .180519E-02 .455556E-03 .120827E-02 .720000E+01 .153345E-02 .432568E-03 .977237E-03 .760000E+01 .121364E-02 .379010E-03 .788801E-03 .800000E+01 .987004E-03 .353670E-03 .702643E-03 .840000E+01 .844294E-03 .318021E-03 .570559E-03 .880000E+01 .721251E-03 .295717E-03 .465323E-03 .920000E+01 .558570E-03 .251929E-03 .387488E-03 .960000E+01 .480900E-03 .236313E-03 .336031E-03 .100000E+02 .405242E-03 .210767E-03 .278482E-03 .104000E+02 .348316E-03 .194564E-03 .229835E-03 .108000E+02 .295173E-03 .175584E-03 .195930E-03 .112000E+02 .252454E-03 .162665E-03 .171513E-03 .116000E+02 .217627E-03 .148466E-03 .141839E-03 .120000E+02 .180389E-03 .132214E-03 .128372E-03 .124000E+02 .149462E-03 .116490E-03 .105681E-03 .128000E+02 .128737E-03 .106738E-03 .922360E-04 .132000E+02 .112400E-03 .972850E-04 .810932E-04 .136000E+02 .937397E-04 .847506E-04 .707315E-04 .140000E+02 .810334E-04 .766687E-04 .611430E-04 .144000E+02 .705143E-04 .711981E-04 .528132E-04 .148000E+02 .591096E-04 .620883E-04 .465887E-04 .152000E+02 .523663E-04 .576701E-04 .414679E-04 .156000E+02 .447767E-04 .520053E-04 .356406E-04 .160000E+02 .395744E-04 .483957E-04 .315404E-04 .164000E+02 .336398E-04 .415069E-04 .281322E-04 .168000E+02 .300416E-04 .390985E-04 .245205E-04 .172000E+02 .268112E-04 .353616E-04 .215160E-04 .176000E+02 .232277E-04 .322735E-04 .193514E-04 .180000E+02 .206546E-04 .291437E-04 .171599E-04 .184000E+02 .188297E-04 .273773E-04 .151874E-04 .188000E+02 .167069E-04 .245139E-04 .135833E-04 .192000E+02 .145491E-04 .221958E-04 .127499E-04 .196000E+02 .129469E-04 .207785E-04 .114563E-04 .200000E+02 .116817E-04 .190556E-04 .105769E-04 .204000E+02 .104623E-04 .175550E-04 .963329E-05 .208000E+02 .945623E-05 .161523E-04 .891494E-05 .212000E+02 .862974E-05 .151241E-04 .796307E-05 .216000E+02 .782194E-05 .141245E-04 .752256E-05 .220000E+02 .723301E-05 .130855E-04 .687308E-05 .224000E+02 .678586E-05 .119678E-04 .643034E-05 .228000E+02 .616661E-05 .112163E-04 .574196E-05 .232000E+02 .561911E-05 .102157E-04 .532337E-05 .236000E+02 .505319E-05 .921809E-05 .492471E-05 .240000E+02 .472895E-05 .877004E-05 .460942E-05 .244000E+02 .438682E-05 .807020E-05 .433402E-05 .248000E+02 .401020E-05 .735684E-05 .384417E-05 .252000E+02 .358554E-05 .650031E-05 .335911E-05 4.3.2 Spanwise Power Spectra at y/delta = 7.612050E-02 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .933420E-01 .930564E-03 .337955E-01 .100000E+01 .356561E+00 .189291E-02 .859903E-01 .200000E+01 .555597E+00 .224015E-02 .100751E+00 .300000E+01 .569587E+00 .270396E-02 .101200E+00 .400000E+01 .559106E+00 .333807E-02 .939818E-01 .500000E+01 .601485E+00 .401118E-02 .835445E-01 .600000E+01 .579916E+00 .510142E-02 .790389E-01 .700000E+01 .565845E+00 .616735E-02 .730921E-01 .800000E+01 .472393E+00 .667189E-02 .606248E-01 .900000E+01 .455339E+00 .764667E-02 .532497E-01 .100000E+02 .365123E+00 .774407E-02 .440644E-01 .110000E+02 .316616E+00 .808019E-02 .362408E-01 .120000E+02 .266567E+00 .792325E-02 .305161E-01 .130000E+02 .224727E+00 .788316E-02 .247906E-01 .140000E+02 .184864E+00 .738975E-02 .196219E-01 .150000E+02 .153924E+00 .711574E-02 .164258E-01 .160000E+02 .131742E+00 .680525E-02 .136019E-01 .170000E+02 .104867E+00 .599260E-02 .107607E-01 .180000E+02 .902075E-01 .569710E-02 .894395E-02 .190000E+02 .742691E-01 .509441E-02 .729417E-02 .200000E+02 .630017E-01 .468882E-02 .611095E-02 .210000E+02 .520653E-01 .423355E-02 .509290E-02 .220000E+02 .447761E-01 .386306E-02 .423857E-02 .230000E+02 .376010E-01 .351611E-02 .355154E-02 .240000E+02 .313878E-01 .313113E-02 .296467E-02 .250000E+02 .273792E-01 .281832E-02 .249964E-02 .260000E+02 .233390E-01 .255482E-02 .214341E-02 .270000E+02 .199528E-01 .229881E-02 .181105E-02 .280000E+02 .170899E-01 .202219E-02 .152287E-02 .290000E+02 .148842E-01 .183642E-02 .130861E-02 .300000E+02 .127306E-01 .164158E-02 .111397E-02 .310000E+02 .113072E-01 .147403E-02 .970513E-03 .320000E+02 .960869E-02 .129961E-02 .828448E-03 .330000E+02 .846326E-02 .116739E-02 .715420E-03 .340000E+02 .733385E-02 .102716E-02 .612648E-03 .350000E+02 .643398E-02 .932058E-03 .530751E-03 .360000E+02 .564431E-02 .839154E-03 .459481E-03 .370000E+02 .496842E-02 .736233E-03 .400168E-03 .380000E+02 .439684E-02 .662765E-03 .349777E-03 .390000E+02 .383830E-02 .595831E-03 .302756E-03 .400000E+02 .342824E-02 .529010E-03 .264801E-03 .410000E+02 .303736E-02 .479114E-03 .232251E-03 .420000E+02 .266675E-02 .426866E-03 .202101E-03 .430000E+02 .241449E-02 .382151E-03 .180474E-03 .440000E+02 .212280E-02 .342552E-03 .157933E-03 .450000E+02 .192787E-02 .307661E-03 .140827E-03 .460000E+02 .171812E-02 .281020E-03 .124528E-03 .470000E+02 .153965E-02 .251882E-03 .111297E-03 .480000E+02 .140899E-02 .227906E-03 .100294E-03 .490000E+02 .126757E-02 .206170E-03 .893511E-04 .500000E+02 .115996E-02 .187664E-03 .812312E-04 .510000E+02 .106582E-02 .172941E-03 .732916E-04 .520000E+02 .971573E-03 .158463E-03 .672471E-04 .530000E+02 .911787E-03 .145069E-03 .613326E-04 .540000E+02 .858757E-03 .135190E-03 .566146E-04 .550000E+02 .808114E-03 .125919E-03 .529076E-04 .560000E+02 .777637E-03 .117032E-03 .489889E-04 .570000E+02 .731107E-03 .109260E-03 .453785E-04 .580000E+02 .693497E-03 .101421E-03 .418681E-04 .590000E+02 .650178E-03 .946058E-04 .384773E-04 .600000E+02 .609486E-03 .864340E-04 .352005E-04 .610000E+02 .559768E-03 .781013E-04 .314224E-04 .620000E+02 .506087E-03 .707899E-04 .279997E-04 .630000E+02 .470650E-03 .637771E-04 .250570E-04 at y/delta = 5.000000E-01 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .859067E-01 .262085E-01 .124885E+00 .100000E+01 .463371E+00 .604507E-01 .263735E+00 .200000E+01 .746209E+00 .884702E-01 .237307E+00 .300000E+01 .468743E+00 .912777E-01 .159487E+00 .400000E+01 .301469E+00 .889171E-01 .124713E+00 .500000E+01 .209005E+00 .793982E-01 .900659E-01 .600000E+01 .163131E+00 .743802E-01 .662935E-01 .700000E+01 .115882E+00 .607664E-01 .505105E-01 .800000E+01 .852882E-01 .514500E-01 .375386E-01 .900000E+01 .643843E-01 .419073E-01 .282119E-01 .100000E+02 .485190E-01 .345072E-01 .212466E-01 .110000E+02 .385469E-01 .276827E-01 .162602E-01 .120000E+02 .296872E-01 .225215E-01 .125580E-01 .130000E+02 .241829E-01 .189977E-01 .974436E-02 .140000E+02 .186960E-01 .153542E-01 .756937E-02 .150000E+02 .157355E-01 .128409E-01 .606176E-02 .160000E+02 .126985E-01 .103967E-01 .478616E-02 .170000E+02 .104441E-01 .862227E-02 .386045E-02 .180000E+02 .874501E-02 .713461E-02 .310068E-02 .190000E+02 .738641E-02 .600789E-02 .253053E-02 .200000E+02 .619019E-02 .506626E-02 .207993E-02 .210000E+02 .532926E-02 .419585E-02 .170459E-02 .220000E+02 .444497E-02 .356343E-02 .140346E-02 .230000E+02 .383023E-02 .303937E-02 .116452E-02 .240000E+02 .328370E-02 .257350E-02 .978440E-03 .250000E+02 .280008E-02 .218951E-02 .806952E-03 .260000E+02 .241584E-02 .186445E-02 .680367E-03 .270000E+02 .207440E-02 .161681E-02 .572490E-03 .280000E+02 .181713E-02 .137142E-02 .480595E-03 .290000E+02 .157482E-02 .117794E-02 .408239E-03 .300000E+02 .137704E-02 .101789E-02 .344303E-03 .310000E+02 .120277E-02 .874886E-03 .291990E-03 .320000E+02 .103366E-02 .758415E-03 .248908E-03 .330000E+02 .914961E-03 .659184E-03 .211890E-03 .340000E+02 .802237E-03 .572692E-03 .181307E-03 .350000E+02 .703550E-03 .501317E-03 .155111E-03 .360000E+02 .620127E-03 .433871E-03 .132182E-03 .370000E+02 .548636E-03 .378092E-03 .114154E-03 .380000E+02 .481980E-03 .330242E-03 .976775E-04 .390000E+02 .426118E-03 .290774E-03 .844812E-04 .400000E+02 .378864E-03 .254368E-03 .732028E-04 .410000E+02 .331675E-03 .223704E-03 .628192E-04 .420000E+02 .296909E-03 .195695E-03 .542787E-04 .430000E+02 .263734E-03 .174060E-03 .469374E-04 .440000E+02 .234256E-03 .152408E-03 .410657E-04 .450000E+02 .210359E-03 .134870E-03 .360194E-04 .460000E+02 .185036E-03 .119053E-03 .309689E-04 .470000E+02 .166011E-03 .105953E-03 .271031E-04 .480000E+02 .148585E-03 .942343E-04 .237999E-04 .490000E+02 .134527E-03 .840503E-04 .209278E-04 .500000E+02 .120578E-03 .755095E-04 .184406E-04 .510000E+02 .108082E-03 .672720E-04 .163270E-04 .520000E+02 .994740E-04 .616120E-04 .145725E-04 .530000E+02 .895932E-04 .554979E-04 .129423E-04 .540000E+02 .829618E-04 .510748E-04 .116999E-04 .550000E+02 .777130E-04 .472298E-04 .107176E-04 .560000E+02 .724016E-04 .444041E-04 .980046E-05 .570000E+02 .688433E-04 .421933E-04 .914351E-05 .580000E+02 .663863E-04 .401630E-04 .854844E-05 .590000E+02 .651885E-04 .394204E-04 .809262E-05 .600000E+02 .641414E-04 .389931E-04 .775152E-05 .610000E+02 .639816E-04 .388549E-04 .745310E-05 .620000E+02 .661756E-04 .400827E-04 .736359E-05 .630000E+02 .663578E-04 .399723E-04 .699934E-05 at y/delta = 1.000000 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .641718E-01 .348250E-01 .130597E+00 .100000E+01 .566477E+00 .857979E-01 .213278E+00 .200000E+01 .633096E+00 .115921E+00 .170750E+00 .300000E+01 .233185E+00 .844050E-01 .100915E+00 .400000E+01 .137562E+00 .707480E-01 .713842E-01 .500000E+01 .878626E-01 .535445E-01 .453421E-01 .600000E+01 .588418E-01 .411413E-01 .308340E-01 .700000E+01 .406115E-01 .318737E-01 .206281E-01 .800000E+01 .293197E-01 .245078E-01 .145704E-01 .900000E+01 .213124E-01 .189925E-01 .102742E-01 .100000E+02 .156756E-01 .147214E-01 .738797E-02 .110000E+02 .119534E-01 .114414E-01 .550752E-02 .120000E+02 .911729E-02 .901637E-02 .409631E-02 .130000E+02 .713735E-02 .717118E-02 .313437E-02 .140000E+02 .560257E-02 .558592E-02 .237434E-02 .150000E+02 .438517E-02 .446348E-02 .184929E-02 .160000E+02 .357601E-02 .361455E-02 .143401E-02 .170000E+02 .280842E-02 .287655E-02 .113102E-02 .180000E+02 .230458E-02 .233379E-02 .881214E-03 .190000E+02 .187504E-02 .191411E-02 .704127E-03 .200000E+02 .156097E-02 .157357E-02 .559914E-03 .210000E+02 .125457E-02 .127981E-02 .450620E-03 .220000E+02 .104382E-02 .104409E-02 .363999E-03 .230000E+02 .864526E-03 .865335E-03 .294388E-03 .240000E+02 .727684E-03 .722652E-03 .237494E-03 .250000E+02 .603501E-03 .595733E-03 .194617E-03 .260000E+02 .503297E-03 .498198E-03 .158834E-03 .270000E+02 .423305E-03 .415547E-03 .130880E-03 .280000E+02 .356595E-03 .347357E-03 .107061E-03 .290000E+02 .303751E-03 .293680E-03 .883892E-04 .300000E+02 .254427E-03 .245509E-03 .727834E-04 .310000E+02 .215867E-03 .206772E-03 .608896E-04 .320000E+02 .186450E-03 .175599E-03 .504671E-04 .330000E+02 .157452E-03 .148403E-03 .418123E-04 .340000E+02 .134151E-03 .126168E-03 .346699E-04 .350000E+02 .113156E-03 .107580E-03 .288472E-04 .360000E+02 .972396E-04 .924015E-04 .241751E-04 .370000E+02 .826998E-04 .783476E-04 .202487E-04 .380000E+02 .711147E-04 .667486E-04 .169265E-04 .390000E+02 .612893E-04 .572713E-04 .142619E-04 .400000E+02 .526960E-04 .490026E-04 .120135E-04 .410000E+02 .455689E-04 .423707E-04 .100949E-04 .420000E+02 .394442E-04 .361113E-04 .855936E-05 .430000E+02 .339202E-04 .312235E-04 .723526E-05 .440000E+02 .291112E-04 .266279E-04 .611325E-05 .450000E+02 .253413E-04 .230887E-04 .518231E-05 .460000E+02 .220080E-04 .200491E-04 .438772E-05 .470000E+02 .191604E-04 .172549E-04 .376040E-05 .480000E+02 .167515E-04 .150923E-04 .320813E-05 .490000E+02 .146222E-04 .131183E-04 .275195E-05 .500000E+02 .128300E-04 .114964E-04 .237003E-05 .510000E+02 .111988E-04 .995166E-05 .203143E-05 .520000E+02 .993167E-05 .877281E-05 .176920E-05 .530000E+02 .870631E-05 .773655E-05 .153293E-05 .540000E+02 .773443E-05 .686062E-05 .134354E-05 .550000E+02 .697342E-05 .613633E-05 .118643E-05 .560000E+02 .629823E-05 .554448E-05 .105878E-05 .570000E+02 .580465E-05 .507329E-05 .958818E-06 .580000E+02 .541034E-05 .475052E-05 .883753E-06 .590000E+02 .527732E-05 .462032E-05 .835796E-06 .600000E+02 .520449E-05 .461247E-05 .797504E-06 .610000E+02 .524831E-05 .464599E-05 .778153E-06 .620000E+02 .555583E-05 .478284E-05 .768353E-06 .630000E+02 .568475E-05 .490346E-05 .748953E-06 at y/delta = 1.793353 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .633315E-01 .805838E-02 .883162E-01 .100000E+01 .479734E+00 .176409E-01 .167224E+00 .200000E+01 .145712E+00 .198495E-01 .101135E+00 .300000E+01 .651555E-01 .180899E-01 .474121E-01 .400000E+01 .395820E-01 .162006E-01 .253665E-01 .500000E+01 .244529E-01 .135044E-01 .150982E-01 .600000E+01 .153920E-01 .105577E-01 .904077E-02 .700000E+01 .980369E-02 .855450E-02 .569844E-02 .800000E+01 .658820E-02 .663296E-02 .369624E-02 .900000E+01 .453608E-02 .488124E-02 .241037E-02 .100000E+02 .312113E-02 .374011E-02 .164231E-02 .110000E+02 .227843E-02 .277785E-02 .112770E-02 .120000E+02 .161839E-02 .205567E-02 .813894E-03 .130000E+02 .116328E-02 .154655E-02 .581295E-03 .140000E+02 .886534E-03 .114851E-02 .416462E-03 .150000E+02 .658133E-03 .855584E-03 .302259E-03 .160000E+02 .497431E-03 .654520E-03 .220975E-03 .170000E+02 .384035E-03 .491008E-03 .165930E-03 .180000E+02 .295402E-03 .380341E-03 .123329E-03 .190000E+02 .224360E-03 .283895E-03 .917795E-04 .200000E+02 .175189E-03 .222942E-03 .692081E-04 .210000E+02 .136524E-03 .170577E-03 .523778E-04 .220000E+02 .108003E-03 .130607E-03 .404330E-04 .230000E+02 .843119E-04 .102680E-03 .311001E-04 .240000E+02 .670506E-04 .797342E-04 .237856E-04 .250000E+02 .533573E-04 .628689E-04 .182294E-04 .260000E+02 .423031E-04 .496362E-04 .141399E-04 .270000E+02 .335115E-04 .388322E-04 .110374E-04 .280000E+02 .270026E-04 .307161E-04 .859057E-05 .290000E+02 .216322E-04 .245977E-04 .671778E-05 .300000E+02 .174725E-04 .194682E-04 .528767E-05 .310000E+02 .139589E-04 .157841E-04 .417887E-05 .320000E+02 .114394E-04 .125092E-04 .328207E-05 .330000E+02 .926461E-05 .100624E-04 .260889E-05 .340000E+02 .746717E-05 .806999E-05 .207133E-05 .350000E+02 .609124E-05 .652282E-05 .166770E-05 .360000E+02 .502071E-05 .523577E-05 .132377E-05 .370000E+02 .411442E-05 .430617E-05 .107519E-05 .380000E+02 .340662E-05 .346003E-05 .861329E-06 .390000E+02 .277890E-05 .281787E-05 .691932E-06 .400000E+02 .228625E-05 .232140E-05 .557120E-06 .410000E+02 .188099E-05 .189859E-05 .446099E-06 .420000E+02 .155868E-05 .154909E-05 .362346E-06 .430000E+02 .129046E-05 .126919E-05 .291856E-06 .440000E+02 .106946E-05 .103977E-05 .237905E-06 .450000E+02 .887952E-06 .858879E-06 .191962E-06 .460000E+02 .730774E-06 .708802E-06 .156040E-06 .470000E+02 .608835E-06 .585952E-06 .127867E-06 .480000E+02 .506564E-06 .483869E-06 .104675E-06 .490000E+02 .421635E-06 .399305E-06 .856670E-07 .500000E+02 .355587E-06 .331930E-06 .706888E-07 .510000E+02 .300541E-06 .278558E-06 .587010E-07 .520000E+02 .251277E-06 .233802E-06 .487924E-07 .530000E+02 .212003E-06 .195477E-06 .406044E-07 .540000E+02 .180806E-06 .163838E-06 .344005E-07 .550000E+02 .154885E-06 .138951E-06 .293515E-07 .560000E+02 .131976E-06 .117850E-06 .251168E-07 .570000E+02 .115075E-06 .103242E-06 .217480E-07 .580000E+02 .101294E-06 .905621E-07 .191863E-07 .590000E+02 .906734E-07 .804082E-07 .171436E-07 .600000E+02 .877880E-07 .755113E-07 .157659E-07 .610000E+02 .884765E-07 .720272E-07 .144604E-07 .620000E+02 .797720E-07 .640043E-07 .125601E-07 .630000E+02 .800205E-07 .629520E-07 .117732E-07 at y/delta = 1.923880 k_z*delta E(u*u) E(v*v) E(w*w) .000000E+00 .442465E-01 .842075E-03 .248783E-01 .100000E+01 .170068E+00 .180927E-02 .759850E-01 .200000E+01 .618190E-01 .190178E-02 .585263E-01 .300000E+01 .299917E-01 .184685E-02 .349371E-01 .400000E+01 .169647E-01 .176252E-02 .217072E-01 .500000E+01 .101263E-01 .159833E-02 .141904E-01 .600000E+01 .620502E-02 .136800E-02 .879196E-02 .700000E+01 .378926E-02 .116239E-02 .564764E-02 .800000E+01 .243904E-02 .962343E-03 .361093E-02 .900000E+01 .158009E-02 .764917E-03 .226505E-02 .100000E+02 .103809E-02 .605132E-03 .147458E-02 .110000E+02 .693590E-03 .469694E-03 .954632E-03 .120000E+02 .478793E-03 .368001E-03 .628595E-03 .130000E+02 .332664E-03 .284009E-03 .416664E-03 .140000E+02 .234895E-03 .216192E-03 .278597E-03 .150000E+02 .170863E-03 .164034E-03 .186483E-03 .160000E+02 .119771E-03 .128227E-03 .131527E-03 .170000E+02 .875750E-04 .985992E-04 .906960E-04 .180000E+02 .642585E-04 .750896E-04 .640028E-04 .190000E+02 .466940E-04 .576648E-04 .451125E-04 .200000E+02 .348752E-04 .442658E-04 .326219E-04 .210000E+02 .262245E-04 .341641E-04 .236899E-04 .220000E+02 .196795E-04 .262114E-04 .172934E-04 .230000E+02 .147002E-04 .203776E-04 .127068E-04 .240000E+02 .113514E-04 .157903E-04 .947493E-05 .250000E+02 .875472E-05 .121252E-04 .697189E-05 .260000E+02 .674117E-05 .949266E-05 .528267E-05 .270000E+02 .518719E-05 .724629E-05 .390103E-05 .280000E+02 .401617E-05 .564635E-05 .297272E-05 .290000E+02 .313069E-05 .446850E-05 .229150E-05 .300000E+02 .243930E-05 .352352E-05 .174547E-05 .310000E+02 .192615E-05 .279228E-05 .136271E-05 .320000E+02 .153961E-05 .217550E-05 .104226E-05 .330000E+02 .122828E-05 .172227E-05 .810893E-06 .340000E+02 .955538E-06 .135979E-05 .625031E-06 .350000E+02 .758909E-06 .107979E-05 .485188E-06 .360000E+02 .593207E-06 .848421E-06 .373113E-06 .370000E+02 .476684E-06 .684137E-06 .292918E-06 .380000E+02 .383376E-06 .547123E-06 .231200E-06 .390000E+02 .309667E-06 .436642E-06 .182556E-06 .400000E+02 .251592E-06 .349030E-06 .144449E-06 .410000E+02 .201852E-06 .278324E-06 .113972E-06 .420000E+02 .163917E-06 .221966E-06 .907197E-07 .430000E+02 .132594E-06 .176531E-06 .716946E-07 .440000E+02 .107201E-06 .142706E-06 .573001E-07 .450000E+02 .871647E-07 .115128E-06 .460016E-07 .460000E+02 .713360E-07 .928488E-07 .373929E-07 .470000E+02 .585575E-07 .753299E-07 .304123E-07 .480000E+02 .479229E-07 .622617E-07 .250936E-07 .490000E+02 .394354E-07 .514773E-07 .206678E-07 .500000E+02 .325593E-07 .427643E-07 .169961E-07 .510000E+02 .273037E-07 .358946E-07 .142173E-07 .520000E+02 .226336E-07 .300617E-07 .119385E-07 .530000E+02 .195295E-07 .256625E-07 .102667E-07 .540000E+02 .166603E-07 .220160E-07 .882935E-08 .550000E+02 .145218E-07 .193413E-07 .775261E-08 .560000E+02 .127518E-07 .167879E-07 .674501E-08 .570000E+02 .116410E-07 .147326E-07 .591099E-08 .580000E+02 .992678E-08 .115060E-07 .492320E-08 .590000E+02 .904076E-08 .982693E-08 .431583E-08 .600000E+02 .899415E-08 .925717E-08 .403286E-08 .610000E+02 .822938E-08 .853765E-08 .365335E-08 .620000E+02 .662884E-08 .698916E-08 .298593E-08 .630000E+02 .768210E-08 .854729E-08 .304695E-08 4.4 Two-point Correlations at several points 4.4.1 Streamwise Separations at y/delta = 7.612050E-02 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .961024E+00 .810800E+00 .887826E+00 .245437E+00 .875943E+00 .540005E+00 .681533E+00 .368155E+00 .781525E+00 .358558E+00 .501299E+00 .490874E+00 .694050E+00 .241870E+00 .370964E+00 .613592E+00 .618559E+00 .171851E+00 .283356E+00 .736311E+00 .554764E+00 .125693E+00 .223785E+00 .859029E+00 .501097E+00 .970819E-01 .182473E+00 .981748E+00 .455551E+00 .758866E-01 .152043E+00 .110447E+01 .416683E+00 .613479E-01 .129203E+00 .122718E+01 .383116E+00 .495804E-01 .111144E+00 .134990E+01 .353954E+00 .416010E-01 .968356E-01 .147262E+01 .328275E+00 .341884E-01 .847114E-01 .159534E+01 .305514E+00 .290717E-01 .746845E-01 .171806E+01 .285074E+00 .241714E-01 .658743E-01 .184078E+01 .266788E+00 .212991E-01 .587664E-01 .196350E+01 .250394E+00 .187550E-01 .527344E-01 .208621E+01 .235753E+00 .171544E-01 .477262E-01 .220893E+01 .222494E+00 .148117E-01 .430392E-01 .233165E+01 .210476E+00 .134083E-01 .391040E-01 .245437E+01 .199409E+00 .111705E-01 .354074E-01 .257709E+01 .189300E+00 .986532E-02 .323456E-01 .269981E+01 .179996E+00 .819755E-02 .292231E-01 .282252E+01 .171538E+00 .719757E-02 .266479E-01 .294524E+01 .163750E+00 .558994E-02 .242819E-01 .306796E+01 .156680E+00 .520630E-02 .226719E-01 .319068E+01 .150130E+00 .424500E-02 .211653E-01 .331340E+01 .144089E+00 .403113E-02 .200256E-01 .343612E+01 .138360E+00 .285938E-02 .184929E-01 .355884E+01 .133036E+00 .232694E-02 .170529E-01 .368155E+01 .128061E+00 .128392E-02 .151686E-01 .380427E+01 .123602E+00 .140821E-02 .134910E-01 .392699E+01 .119498E+00 .728278E-03 .117612E-01 .404971E+01 .115793E+00 .419363E-03 .106338E-01 .417243E+01 .112349E+00 -.802732E-03 .961768E-02 .429515E+01 .109278E+00 -.734552E-03 .935535E-02 .441786E+01 .106434E+00 -.111327E-02 .914022E-02 .454058E+01 .103909E+00 -.550555E-03 .937280E-02 .466330E+01 .101536E+00 -.454240E-03 .940694E-02 .478602E+01 .993307E-01 .635937E-03 .973524E-02 .490874E+01 .970448E-01 .721108E-03 .952250E-02 .503146E+01 .947482E-01 .147629E-02 .926150E-02 .515418E+01 .923668E-01 .131678E-02 .838126E-02 .527689E+01 .901002E-01 .165293E-02 .742105E-02 .539961E+01 .879005E-01 .912928E-03 .607688E-02 .552233E+01 .859108E-01 .923626E-03 .520968E-02 .564505E+01 .840058E-01 -.331058E-04 .431566E-02 .576777E+01 .822744E-01 -.279254E-03 .394185E-02 .589049E+01 .805334E-01 -.144255E-02 .332973E-02 .601320E+01 .788511E-01 -.163942E-02 .296771E-02 .613592E+01 .771438E-01 -.232581E-02 .234411E-02 .625864E+01 .756109E-01 -.211742E-02 .200238E-02 .638136E+01 .741694E-01 -.285920E-02 .144999E-02 .650408E+01 .729398E-01 -.273104E-02 .147807E-02 .662680E+01 .717943E-01 -.327925E-02 .161151E-02 .674952E+01 .708435E-01 -.283370E-02 .231329E-02 .687223E+01 .699679E-01 -.321835E-02 .294257E-02 .699495E+01 .692738E-01 -.290571E-02 .402787E-02 .711767E+01 .686113E-01 -.354217E-02 .484559E-02 .724039E+01 .680670E-01 -.329105E-02 .571675E-02 .736311E+01 .675032E-01 -.381462E-02 .583124E-02 .748583E+01 .670421E-01 -.351355E-02 .583378E-02 .760854E+01 .666259E-01 -.378115E-02 .547296E-02 .773126E+01 .664384E-01 -.289366E-02 .554237E-02 .785398E+01 .663474E-01 -.298556E-02 .541108E-02 at y/delta = 5.000000E-01 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .939456E+00 .775779E+00 .805472E+00 .245437E+00 .839198E+00 .493800E+00 .534710E+00 .368155E+00 .747396E+00 .314932E+00 .342734E+00 .490874E+00 .670025E+00 .209949E+00 .216712E+00 .613592E+00 .606860E+00 .151663E+00 .137992E+00 .736311E+00 .554334E+00 .114109E+00 .848408E-01 .859029E+00 .510949E+00 .908832E-01 .501399E-01 .981748E+00 .474207E+00 .733160E-01 .250435E-01 .110447E+01 .443537E+00 .631130E-01 .856572E-02 .122718E+01 .417289E+00 .549121E-01 -.485597E-02 .134990E+01 .395445E+00 .507257E-01 -.132870E-01 .147262E+01 .376441E+00 .461841E-01 -.195554E-01 .159534E+01 .360099E+00 .440611E-01 -.218203E-01 .171806E+01 .345212E+00 .409976E-01 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.429515E+01 .207065E+00 .211239E-01 -.154624E-01 .441786E+01 .205718E+00 .194628E-01 -.153028E-01 .454058E+01 .205080E+00 .196982E-01 -.143472E-01 .466330E+01 .204386E+00 .183862E-01 -.141823E-01 .478602E+01 .204067E+00 .194855E-01 -.115328E-01 .490874E+01 .203362E+00 .188062E-01 -.967454E-02 .503146E+01 .202873E+00 .196082E-01 -.642191E-02 .515418E+01 .201943E+00 .187144E-01 -.432750E-02 .527689E+01 .201107E+00 .199190E-01 -.189515E-02 .539961E+01 .199754E+00 .195127E-01 -.197799E-02 .552233E+01 .198744E+00 .205212E-01 -.184122E-02 .564505E+01 .197605E+00 .194183E-01 -.299772E-02 .576777E+01 .196869E+00 .198936E-01 -.282246E-02 .589049E+01 .195785E+00 .181689E-01 -.403952E-02 .601320E+01 .194968E+00 .185452E-01 -.364577E-02 .613592E+01 .193865E+00 .181863E-01 -.354713E-02 .625864E+01 .193134E+00 .203029E-01 -.173836E-02 .638136E+01 .192227E+00 .206988E-01 -.161767E-02 .650408E+01 .191809E+00 .229029E-01 .300141E-04 .662680E+01 .191330E+00 .225889E-01 .140179E-02 .674952E+01 .191363E+00 .233464E-01 .389046E-02 .687223E+01 .191112E+00 .221339E-01 .406419E-02 .699495E+01 .191144E+00 .232017E-01 .429459E-02 .711767E+01 .190958E+00 .232497E-01 .288497E-02 .724039E+01 .191183E+00 .253669E-01 .368219E-02 .736311E+01 .191133E+00 .254994E-01 .421322E-02 .748583E+01 .191346E+00 .268860E-01 .614716E-02 .760854E+01 .191227E+00 .262642E-01 .623960E-02 .773126E+01 .191441E+00 .278699E-01 .686849E-02 .785398E+01 .191317E+00 .275971E-01 .610649E-02 at y/delta = 1.000000 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .961029E+00 .827141E+00 .851767E+00 .245437E+00 .887805E+00 .565918E+00 .614998E+00 .368155E+00 .814984E+00 .369478E+00 .422997E+00 .490874E+00 .750444E+00 .240355E+00 .285426E+00 .613592E+00 .695064E+00 .159703E+00 .191373E+00 .736311E+00 .647154E+00 .106658E+00 .125189E+00 .859029E+00 .605868E+00 .726639E-01 .796520E-01 .981748E+00 .569752E+00 .496645E-01 .464782E-01 .110447E+01 .538262E+00 .363672E-01 .232137E-01 .122718E+01 .510316E+00 .275428E-01 .573370E-02 .134990E+01 .485589E+00 .234197E-01 -.642492E-02 .147262E+01 .463328E+00 .212229E-01 -.164914E-01 .159534E+01 .443608E+00 .223530E-01 -.236215E-01 .171806E+01 .425850E+00 .236429E-01 -.297990E-01 .184078E+01 .410076E+00 .265764E-01 -.338638E-01 .196350E+01 .395733E+00 .286682E-01 -.372880E-01 .208621E+01 .382848E+00 .308511E-01 -.385953E-01 .220893E+01 .370962E+00 .305017E-01 -.398832E-01 .233165E+01 .360152E+00 .299602E-01 -.399640E-01 .245437E+01 .349985E+00 .286338E-01 -.402343E-01 .257709E+01 .340711E+00 .294986E-01 -.396241E-01 .269981E+01 .332100E+00 .305456E-01 -.402095E-01 .282252E+01 .324321E+00 .335083E-01 -.402685E-01 .294524E+01 .316991E+00 .361237E-01 -.411158E-01 .306796E+01 .310363E+00 .396584E-01 -.409121E-01 .319068E+01 .304153E+00 .409659E-01 -.412307E-01 .331340E+01 .298485E+00 .411102E-01 -.410249E-01 .343612E+01 .293063E+00 .386701E-01 -.416145E-01 .355884E+01 .288119E+00 .362052E-01 -.415145E-01 .368155E+01 .283454E+00 .325521E-01 -.415649E-01 .380427E+01 .279393E+00 .302004E-01 -.401665E-01 .392699E+01 .275772E+00 .275091E-01 -.394938E-01 .404971E+01 .272812E+00 .262274E-01 -.383275E-01 .417243E+01 .270171E+00 .249577E-01 -.379751E-01 .429515E+01 .267937E+00 .254867E-01 -.371256E-01 .441786E+01 .265736E+00 .249601E-01 -.370436E-01 .454058E+01 .263766E+00 .250664E-01 -.362884E-01 .466330E+01 .261858E+00 .251494E-01 -.363498E-01 .478602E+01 .260283E+00 .271354E-01 -.362631E-01 .490874E+01 .258822E+00 .283329E-01 -.371029E-01 .503146E+01 .257677E+00 .302269E-01 -.370963E-01 .515418E+01 .256555E+00 .307241E-01 -.371633E-01 .527689E+01 .255712E+00 .314972E-01 -.359447E-01 .539961E+01 .254967E+00 .312263E-01 -.352224E-01 .552233E+01 .254525E+00 .321935E-01 -.343738E-01 .564505E+01 .254058E+00 .321993E-01 -.349509E-01 .576777E+01 .253692E+00 .326323E-01 -.350664E-01 .589049E+01 .253229E+00 .319908E-01 -.356500E-01 .601320E+01 .253052E+00 .326917E-01 -.351585E-01 .613592E+01 .252956E+00 .333622E-01 -.351204E-01 .625864E+01 .253120E+00 .354555E-01 -.339750E-01 .638136E+01 .253340E+00 .368947E-01 -.326130E-01 .650408E+01 .253813E+00 .391202E-01 -.293124E-01 .662680E+01 .254191E+00 .400387E-01 -.257165E-01 .674952E+01 .254572E+00 .413866E-01 -.209255E-01 .687223E+01 .254692E+00 .419757E-01 -.166543E-01 .699495E+01 .254785E+00 .436710E-01 -.119537E-01 .711767E+01 .254593E+00 .440025E-01 -.873788E-02 .724039E+01 .254446E+00 .454222E-01 -.538738E-02 .736311E+01 .254352E+00 .469822E-01 -.217193E-02 .748583E+01 .254628E+00 .502283E-01 .257792E-02 .760854E+01 .254937E+00 .521158E-01 .661518E-02 .773126E+01 .255343E+00 .540461E-01 .994612E-02 .785398E+01 .255435E+00 .541891E-01 .106108E-01 at y/delta = 1.793353 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .976320E+00 .804733E+00 .942843E+00 .245437E+00 .923390E+00 .469388E+00 .824441E+00 .368155E+00 .862674E+00 .220961E+00 .699399E+00 .490874E+00 .803397E+00 .798437E-01 .585651E+00 .613592E+00 .749026E+00 .117624E-01 .488382E+00 .736311E+00 .700470E+00 -.178375E-01 .407032E+00 .859029E+00 .657815E+00 -.261953E-01 .340131E+00 .981748E+00 .620486E+00 -.252186E-01 .285006E+00 .110447E+01 .587874E+00 -.201425E-01 .239511E+00 .122718E+01 .559140E+00 -.154166E-01 .201020E+00 .134990E+01 .533651E+00 -.111946E-01 .167810E+00 .147262E+01 .510733E+00 -.870467E-02 .138281E+00 .159534E+01 .489939E+00 -.681751E-02 .111876E+00 .171806E+01 .470818E+00 -.614184E-02 .881067E-01 .184078E+01 .453156E+00 -.545510E-02 .671804E-01 .196350E+01 .436762E+00 -.554624E-02 .487676E-01 .208621E+01 .421659E+00 -.488299E-02 .327606E-01 .220893E+01 .407710E+00 -.475930E-02 .183747E-01 .233165E+01 .394894E+00 -.495267E-02 .499218E-02 .245437E+01 .383172E+00 -.640901E-02 -.821985E-02 .257709E+01 .372640E+00 -.661770E-02 -.212946E-01 .269981E+01 .363241E+00 -.563416E-02 -.343609E-01 .282252E+01 .354923E+00 -.345308E-02 -.466101E-01 .294524E+01 .347368E+00 -.221202E-02 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-.274326E-01 .552233E+01 .276516E+00 -.722944E-02 -.230326E-01 .564505E+01 .277469E+00 -.496388E-02 -.192382E-01 .576777E+01 .278665E+00 -.772141E-03 -.158878E-01 .589049E+01 .279857E+00 .268369E-02 -.130734E-01 .601320E+01 .280977E+00 .527919E-02 -.107207E-01 .613592E+01 .281974E+00 .630908E-02 -.908839E-02 .625864E+01 .282955E+00 .671402E-02 -.782938E-02 .638136E+01 .283909E+00 .626946E-02 -.680691E-02 .650408E+01 .284859E+00 .668308E-02 -.541754E-02 .662680E+01 .285649E+00 .685591E-02 -.340814E-02 .674952E+01 .286244E+00 .728450E-02 -.547104E-03 .687223E+01 .286623E+00 .731451E-02 .251728E-02 .699495E+01 .286902E+00 .835681E-02 .533609E-02 .711767E+01 .287111E+00 .923452E-02 .753516E-02 .724039E+01 .287387E+00 .982690E-02 .950473E-02 .736311E+01 .287676E+00 .891815E-02 .112710E-01 .748583E+01 .287967E+00 .809597E-02 .130044E-01 .760854E+01 .288161E+00 .721492E-02 .143167E-01 .773126E+01 .288299E+00 .753600E-02 .152484E-01 .785398E+01 .288338E+00 .762166E-02 .155276E-01 at y/delta = 1.923880 x/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .122718E+00 .954800E+00 .716749E+00 .950412E+00 .245437E+00 .851526E+00 .304697E+00 .834636E+00 .368155E+00 .737798E+00 .767938E-01 .699433E+00 .490874E+00 .638347E+00 -.131695E-01 .570870E+00 .613592E+00 .559694E+00 -.339093E-01 .459675E+00 .736311E+00 .499798E+00 -.342146E-01 .367900E+00 .859029E+00 .454654E+00 -.248109E-01 .294165E+00 .981748E+00 .420032E+00 -.174710E-01 .235266E+00 .110447E+01 .392699E+00 -.115937E-01 .188199E+00 .122718E+01 .370423E+00 -.104035E-01 .149927E+00 .134990E+01 .352067E+00 -.790859E-02 .118041E+00 .147262E+01 .336687E+00 -.565856E-02 .906713E-01 .159534E+01 .323558E+00 -.336662E-02 .668116E-01 .171806E+01 .311916E+00 -.460799E-02 .458839E-01 .184078E+01 .301408E+00 -.591556E-02 .277382E-01 .196350E+01 .291932E+00 -.659519E-02 .119752E-01 .208621E+01 .283503E+00 -.460434E-02 -.179727E-02 .220893E+01 .275932E+00 -.338797E-02 -.141697E-01 .233165E+01 .269125E+00 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.226364E-02 -.498538E-01 .490874E+01 .212832E+00 .204845E-02 -.447759E-01 .503146E+01 .210564E+00 .193539E-02 -.398953E-01 .515418E+01 .208300E+00 .951670E-03 -.353399E-01 .527689E+01 .206357E+00 -.270732E-03 -.311887E-01 .539961E+01 .205032E+00 -.259521E-02 -.275429E-01 .552233E+01 .204667E+00 -.325030E-02 -.242892E-01 .564505E+01 .205342E+00 -.313862E-02 -.214033E-01 .576777E+01 .206938E+00 -.125651E-02 -.188225E-01 .589049E+01 .209128E+00 -.481028E-03 -.165725E-01 .601320E+01 .211739E+00 .667332E-03 -.145428E-01 .613592E+01 .214603E+00 .754115E-03 -.127797E-01 .625864E+01 .217582E+00 .944774E-03 -.113129E-01 .638136E+01 .220405E+00 -.434425E-03 -.101062E-01 .650408E+01 .222888E+00 -.129861E-02 -.876870E-02 .662680E+01 .224798E+00 -.261955E-02 -.696050E-02 .674952E+01 .226104E+00 -.257046E-02 -.445129E-02 .687223E+01 .226837E+00 -.170865E-02 -.135720E-02 .699495E+01 .227074E+00 .158462E-02 .215460E-02 .711767E+01 .226734E+00 .331654E-02 .573582E-02 .724039E+01 .225931E+00 .322959E-02 .909479E-02 .736311E+01 .224887E+00 .170323E-02 .118853E-01 .748583E+01 .223938E+00 .140785E-02 .140911E-01 .760854E+01 .223252E+00 .168972E-02 .157192E-01 .773126E+01 .222924E+00 .449606E-02 .168213E-01 .785398E+01 .222826E+00 .575854E-02 .172130E-01 4.4.2 Spanwise Separations at y/delta = 7.612050E-02 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .874531E+00 .637022E+00 .906763E+00 .981748E-01 .609944E+00 .930785E-01 .697590E+00 .147262E+00 .345840E+00 -.184632E+00 .473140E+00 .196350E+00 .141276E+00 -.241831E+00 .284804E+00 .245437E+00 .575607E-02 -.199372E+00 .146961E+00 .294524E+00 -.722714E-01 -.136797E+00 .556411E-01 .343612E+00 -.108590E+00 -.787849E-01 .118134E-02 .392699E+00 -.119027E+00 -.385983E-01 -.277982E-01 .441786E+00 -.114406E+00 -.117644E-01 -.404132E-01 .490874E+00 -.103052E+00 .499769E-03 -.439268E-01 .539961E+00 -.889853E-01 .631053E-02 -.427761E-01 .589049E+00 -.753761E-01 .660868E-02 -.399911E-01 .638136E+00 -.631022E-01 .694516E-02 -.368396E-01 .687223E+00 -.531796E-01 .574997E-02 -.341211E-01 .736311E+00 -.452945E-01 .587252E-02 -.319127E-01 .785398E+00 -.396385E-01 .485015E-02 -.304356E-01 .834486E+00 -.356682E-01 .414715E-02 -.295712E-01 .883573E+00 -.333649E-01 .168126E-02 -.293266E-01 .932660E+00 -.320651E-01 .185012E-03 -.293927E-01 .981748E+00 -.317060E-01 -.142064E-02 -.297043E-01 .103084E+01 -.316876E-01 -.113016E-02 -.299819E-01 .107992E+01 -.319686E-01 -.129770E-02 -.301751E-01 .112901E+01 -.320331E-01 -.580647E-03 -.301444E-01 .117810E+01 -.321675E-01 -.603359E-03 -.301178E-01 .122718E+01 -.321826E-01 -.340141E-03 -.300027E-01 .127627E+01 -.323309E-01 -.176432E-02 -.296471E-01 .132536E+01 -.322045E-01 -.197245E-02 -.286050E-01 .137445E+01 -.319855E-01 -.211448E-02 -.268214E-01 .142353E+01 -.315317E-01 -.136722E-02 -.243273E-01 .147262E+01 -.312101E-01 -.161346E-02 -.215281E-01 .152171E+01 -.307401E-01 -.806762E-03 -.186548E-01 .157080E+01 -.302610E-01 -.862022E-04 -.160538E-01 .161988E+01 -.294227E-01 .128360E-02 -.137902E-01 .166897E+01 -.284223E-01 .657942E-03 -.119506E-01 .171806E+01 -.269196E-01 -.184810E-04 -.102667E-01 .176715E+01 -.249048E-01 -.136566E-02 -.858431E-02 .181623E+01 -.218825E-01 -.731799E-03 -.666371E-02 .186532E+01 -.181915E-01 .611965E-03 -.473148E-02 .191441E+01 -.141132E-01 .327358E-02 -.304328E-02 .196350E+01 -.106605E-01 .400730E-02 -.209271E-02 .201258E+01 -.825299E-02 .418605E-02 -.205798E-02 .206167E+01 -.731838E-02 .304597E-02 -.306249E-02 .211076E+01 -.721093E-02 .204189E-02 -.478124E-02 .215984E+01 -.763885E-02 -.580601E-03 -.689893E-02 .220893E+01 -.802516E-02 -.206642E-02 -.882251E-02 .225802E+01 -.848940E-02 -.279535E-02 -.101576E-01 .230711E+01 -.851845E-02 -.149585E-02 -.105289E-01 .235619E+01 -.812967E-02 -.853367E-03 -.101056E-01 .240528E+01 -.701264E-02 .206373E-03 -.911199E-02 .245437E+01 -.544374E-02 -.664364E-03 -.796905E-02 .250346E+01 -.331224E-02 -.212356E-02 -.676029E-02 .255254E+01 -.814884E-03 -.397971E-02 -.558607E-02 .260163E+01 .239077E-02 -.332547E-02 -.429795E-02 .265072E+01 .563592E-02 -.170709E-02 -.307826E-02 .269981E+01 .849843E-02 .193134E-02 -.198511E-02 .274889E+01 .997610E-02 .495567E-02 -.123724E-02 .279798E+01 .957911E-02 .709090E-02 -.914609E-03 .284707E+01 .674599E-02 .574524E-02 -.119347E-02 .289616E+01 .236831E-02 .310255E-02 -.184909E-02 .294524E+01 -.259017E-02 -.288586E-03 -.269779E-02 .299433E+01 -.678531E-02 -.134976E-02 -.337783E-02 .304342E+01 -.998564E-02 -.207629E-02 -.388546E-02 .309251E+01 -.118802E-01 -.188620E-02 -.415757E-02 .314159E+01 -.126260E-01 -.240646E-02 -.428539E-02 at y/delta = 5.000000E-01 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .957942E+00 .908340E+00 .964562E+00 .981748E-01 .860923E+00 .706035E+00 .876905E+00 .147262E+00 .746152E+00 .490643E+00 .767558E+00 .196350E+00 .631425E+00 .307226E+00 .656408E+00 .245437E+00 .523799E+00 .166444E+00 .553152E+00 .294524E+00 .426174E+00 .656266E-01 .461752E+00 .343612E+00 .339367E+00 -.254593E-02 .383183E+00 .392699E+00 .263239E+00 -.458678E-01 .316857E+00 .441786E+00 .197124E+00 -.711718E-01 .261497E+00 .490874E+00 .139995E+00 -.840849E-01 .215530E+00 .539961E+00 .908053E-01 -.886234E-01 .177436E+00 .589049E+00 .484099E-01 -.878199E-01 .145795E+00 .638136E+00 .119089E-01 -.835388E-01 .119434E+00 .687223E+00 -.195818E-01 -.774034E-01 .973395E-01 .736311E+00 -.466479E-01 -.703954E-01 .787332E-01 .785398E+00 -.699456E-01 -.635230E-01 .629508E-01 .834486E+00 -.899362E-01 -.571503E-01 .495038E-01 .883573E+00 -.107186E+00 -.517676E-01 .379657E-01 .932660E+00 -.121976E+00 -.473383E-01 .280446E-01 .981748E+00 -.134642E+00 -.439312E-01 .194731E-01 .103084E+01 -.145308E+00 -.410647E-01 .120860E-01 .107992E+01 -.154222E+00 -.386066E-01 .571498E-02 .112901E+01 -.161389E+00 -.361606E-01 .253883E-03 .117810E+01 -.166954E+00 -.338227E-01 -.442939E-02 .122718E+01 -.170872E+00 -.314363E-01 -.839993E-02 .127627E+01 -.173284E+00 -.293326E-01 -.117707E-01 .132536E+01 -.174143E+00 -.274667E-01 -.146002E-01 .137445E+01 -.173537E+00 -.260370E-01 -.169739E-01 .142353E+01 -.171404E+00 -.247121E-01 -.189339E-01 .147262E+01 -.167937E+00 -.234736E-01 -.205786E-01 .152171E+01 -.163202E+00 -.219190E-01 -.219687E-01 .157080E+01 -.157472E+00 -.201551E-01 -.232114E-01 .161988E+01 -.150829E+00 -.180750E-01 -.243386E-01 .166897E+01 -.143511E+00 -.159347E-01 -.253795E-01 .171806E+01 -.135560E+00 -.135107E-01 -.262902E-01 .176715E+01 -.127180E+00 -.109620E-01 -.270591E-01 .181623E+01 -.118398E+00 -.820389E-02 -.276352E-01 .186532E+01 -.109456E+00 -.566675E-02 -.280314E-01 .191441E+01 -.100408E+00 -.341756E-02 -.282120E-01 .196350E+01 -.914862E-01 -.178161E-02 -.281751E-01 .201258E+01 -.827343E-01 -.525140E-03 -.278756E-01 .206167E+01 -.743876E-01 .254241E-03 -.273251E-01 .211076E+01 -.664455E-01 .834767E-03 -.265092E-01 .215984E+01 -.589731E-01 .109922E-02 -.254557E-01 .220893E+01 -.518132E-01 .131854E-02 -.241320E-01 .225802E+01 -.450104E-01 .137293E-02 -.225386E-01 .230711E+01 -.384459E-01 .146444E-02 -.206445E-01 .235619E+01 -.322163E-01 .138052E-02 -.185032E-01 .240528E+01 -.262765E-01 .132568E-02 -.161570E-01 .245437E+01 -.207419E-01 .111681E-02 -.136908E-01 .250346E+01 -.154467E-01 .905178E-03 -.111416E-01 .255254E+01 -.103498E-01 .519181E-03 -.860694E-02 .260163E+01 -.523821E-02 .342072E-03 -.613692E-02 .265072E+01 -.164395E-03 .529298E-03 -.379379E-02 .269981E+01 .488295E-02 .152691E-02 -.157439E-02 .274889E+01 .973101E-02 .321438E-02 .491827E-03 .279798E+01 .143616E-01 .557046E-02 .240039E-02 .284707E+01 .185162E-01 .810285E-02 .407861E-02 .289616E+01 .220960E-01 .106767E-01 .549040E-02 .294524E+01 .248723E-01 .128173E-01 .658508E-02 .299433E+01 .268902E-01 .145482E-01 .739178E-02 .304342E+01 .281277E-01 .156300E-01 .792186E-02 .309251E+01 .288096E-01 .162662E-01 .823009E-02 .314159E+01 .289877E-01 .163942E-01 .832226E-02 at y/delta = 1.000000 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .979595E+00 .951764E+00 .979883E+00 .981748E-01 .927513E+00 .833836E+00 .926826E+00 .147262E+00 .858960E+00 .690900E+00 .854844E+00 .196350E+00 .784096E+00 .551590E+00 .775307E+00 .245437E+00 .708207E+00 .428317E+00 .695183E+00 .294524E+00 .633960E+00 .324614E+00 .618326E+00 .343612E+00 .562657E+00 .239812E+00 .546715E+00 .392699E+00 .494895E+00 .171670E+00 .481230E+00 .441786E+00 .430883E+00 .117516E+00 .422121E+00 .490874E+00 .370636E+00 .747620E-01 .369278E+00 .539961E+00 .314060E+00 .411218E-01 .322394E+00 .589049E+00 .260993E+00 .146857E-01 .281043E+00 .638136E+00 .211263E+00 -.605048E-02 .244748E+00 .687223E+00 .164706E+00 -.222986E-01 .213000E+00 .736311E+00 .121178E+00 -.349419E-01 .185301E+00 .785398E+00 .805247E-01 -.446919E-01 .161156E+00 .834486E+00 .426279E-01 -.520692E-01 .140115E+00 .883573E+00 .737729E-02 -.575773E-01 .121765E+00 .932660E+00 -.253094E-01 -.616021E-01 .105753E+00 .981748E+00 -.555224E-01 -.644944E-01 .917645E-01 .103084E+01 -.833059E-01 -.664482E-01 .795321E-01 .107992E+01 -.108707E+00 -.676471E-01 .688189E-01 .112901E+01 -.131745E+00 -.681533E-01 .594244E-01 .117810E+01 -.152470E+00 -.680797E-01 .511656E-01 .122718E+01 -.170924E+00 -.675073E-01 .438973E-01 .127627E+01 -.187183E+00 -.665881E-01 .374973E-01 .132536E+01 -.201307E+00 -.653750E-01 .318671E-01 .137445E+01 -.213367E+00 -.639425E-01 .269049E-01 .142353E+01 -.223393E+00 -.622940E-01 .225212E-01 .147262E+01 -.231442E+00 -.605103E-01 .186341E-01 .152171E+01 -.237580E+00 -.586467E-01 .151875E-01 .157080E+01 -.241909E+00 -.568201E-01 .121329E-01 .161988E+01 -.244491E+00 -.550131E-01 .944330E-02 .166897E+01 -.245392E+00 -.531817E-01 .709931E-02 .171806E+01 -.244650E+00 -.511893E-01 .509968E-02 .176715E+01 -.242342E+00 -.489969E-01 .343999E-02 .181623E+01 -.238543E+00 -.465705E-01 .212325E-02 .186532E+01 -.233369E+00 -.439942E-01 .114241E-02 .191441E+01 -.226927E+00 -.413190E-01 .492309E-03 .196350E+01 -.219358E+00 -.386357E-01 .156965E-03 .201258E+01 -.210766E+00 -.359009E-01 .128044E-03 .206167E+01 -.201270E+00 -.330873E-01 .391254E-03 .211076E+01 -.190977E+00 -.301008E-01 .938901E-03 .215984E+01 -.180034E+00 -.269209E-01 .175147E-02 .220893E+01 -.168572E+00 -.234748E-01 .280939E-02 .225802E+01 -.156754E+00 -.197774E-01 .408346E-02 .230711E+01 -.144715E+00 -.158331E-01 .555741E-02 .235619E+01 -.132604E+00 -.117650E-01 .721669E-02 .240528E+01 -.120533E+00 -.764250E-02 .905793E-02 .245437E+01 -.108614E+00 -.356136E-02 .110711E-01 .250346E+01 -.969211E-01 .488782E-03 .132506E-01 .255254E+01 -.855543E-01 .447257E-02 .155767E-01 .260163E+01 -.745989E-01 .839741E-02 .180291E-01 .265072E+01 -.641671E-01 .121834E-01 .205743E-01 .269981E+01 -.543533E-01 .158176E-01 .231762E-01 .274889E+01 -.452888E-01 .192163E-01 .257769E-01 .279798E+01 -.370888E-01 .223318E-01 .283079E-01 .284707E+01 -.298635E-01 .250682E-01 .306816E-01 .289616E+01 -.236549E-01 .274182E-01 .328170E-01 .294524E+01 -.184994E-01 .293304E-01 .346339E-01 .299433E+01 -.144061E-01 .308388E-01 .360760E-01 .304342E+01 -.114213E-01 .319169E-01 .371047E-01 .309251E+01 -.958691E-02 .325860E-01 .377162E-01 .314159E+01 -.897084E-02 .328010E-01 .379166E-01 at y/delta = 1.793353 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .990516E+00 .955679E+00 .990368E+00 .981748E-01 .964355E+00 .838978E+00 .963310E+00 .147262E+00 .926453E+00 .684798E+00 .923107E+00 .196350E+00 .881554E+00 .525205E+00 .874366E+00 .245437E+00 .833130E+00 .380498E+00 .820871E+00 .294524E+00 .783462E+00 .259985E+00 .765362E+00 .343612E+00 .733982E+00 .165598E+00 .709708E+00 .392699E+00 .685559E+00 .952013E-01 .655141E+00 .441786E+00 .638696E+00 .448945E-01 .602451E+00 .490874E+00 .593649E+00 .103850E-01 .552124E+00 .539961E+00 .550515E+00 -.122935E-01 .504438E+00 .589049E+00 .509287E+00 -.264871E-01 .459527E+00 .638136E+00 .469894E+00 -.348333E-01 .417426E+00 .687223E+00 .432226E+00 -.392954E-01 .378096E+00 .736311E+00 .396159E+00 -.412517E-01 .341449E+00 .785398E+00 .361563E+00 -.416312E-01 .307364E+00 .834486E+00 .328320E+00 -.410284E-01 .275702E+00 .883573E+00 .296317E+00 -.398207E-01 .246318E+00 .932660E+00 .265452E+00 -.382513E-01 .219073E+00 .981748E+00 .235627E+00 -.364913E-01 .193835E+00 .103084E+01 .206747E+00 -.346437E-01 .170484E+00 .107992E+01 .178730E+00 -.327546E-01 .148913E+00 .112901E+01 .151506E+00 -.308248E-01 .129029E+00 .117810E+01 .125023E+00 -.288484E-01 .110752E+00 .122718E+01 .992459E-01 -.268260E-01 .940067E-01 .127627E+01 .741556E-01 -.247677E-01 .787178E-01 .132536E+01 .497442E-01 -.226846E-01 .648029E-01 .137445E+01 .260110E-01 -.206137E-01 .521754E-01 .142353E+01 .296234E-02 -.186200E-01 .407498E-01 .147262E+01 -.193922E-01 -.167911E-01 .304475E-01 .152171E+01 -.410403E-01 -.152052E-01 .211999E-01 .157080E+01 -.619694E-01 -.139134E-01 .129461E-01 .161988E+01 -.821667E-01 -.129271E-01 .563069E-02 .166897E+01 -.101624E+00 -.122394E-01 -.799189E-03 .171806E+01 -.120336E+00 -.118355E-01 -.639445E-02 .176715E+01 -.138298E+00 -.117009E-01 -.112060E-01 .181623E+01 -.155500E+00 -.118036E-01 -.152861E-01 .186532E+01 -.171923E+00 -.120829E-01 -.186889E-01 .191441E+01 -.187551E+00 -.124276E-01 -.214687E-01 .196350E+01 -.202377E+00 -.126869E-01 -.236798E-01 .201258E+01 -.216407E+00 -.126983E-01 -.253755E-01 .206167E+01 -.229659E+00 -.123347E-01 -.266096E-01 .211076E+01 -.242164E+00 -.115263E-01 -.274352E-01 .215984E+01 -.253954E+00 -.102794E-01 -.279048E-01 .220893E+01 -.265059E+00 -.865650E-02 -.280694E-01 .225802E+01 -.275498E+00 -.675552E-02 -.279780E-01 .230711E+01 -.285280E+00 -.469716E-02 -.276774E-01 .235619E+01 -.294402E+00 -.264653E-02 -.272135E-01 .240528E+01 -.302859E+00 -.789561E-03 -.266318E-01 .245437E+01 -.310648E+00 .723274E-03 -.259761E-01 .250346E+01 -.317774E+00 .184392E-02 -.252865E-01 .255254E+01 -.324253E+00 .262556E-02 -.245963E-01 .260163E+01 -.330105E+00 .318152E-02 -.239286E-01 .265072E+01 -.335355E+00 .360964E-02 -.232966E-01 .269981E+01 -.340030E+00 .395938E-02 -.227054E-01 .274889E+01 -.344158E+00 .423143E-02 -.221562E-01 .279798E+01 -.347762E+00 .442030E-02 -.216493E-01 .284707E+01 -.350862E+00 .454087E-02 -.211872E-01 .289616E+01 -.353470E+00 .464800E-02 -.207753E-01 .294524E+01 -.355592E+00 .480500E-02 -.204206E-01 .299433E+01 -.357233E+00 .503961E-02 -.201315E-01 .304342E+01 -.358398E+00 .530524E-02 -.199168E-01 .309251E+01 -.359091E+00 .551573E-02 -.197845E-01 .314159E+01 -.359321E+00 .559428E-02 -.197399E-01 at y/delta = 1.923880 z/delta R(uu) R(vv) R(ww) (separation) .000000E+00 .100000E+01 .100000E+01 .100000E+01 .490874E-01 .991611E+00 .941625E+00 .985931E+00 .981748E-01 .967848E+00 .790848E+00 .945976E+00 .147262E+00 .932073E+00 .599842E+00 .885814E+00 .196350E+00 .888110E+00 .414744E+00 .812394E+00 .245437E+00 .839306E+00 .261002E+00 .732238E+00 .294524E+00 .788238E+00 .146003E+00 .650600E+00 .343612E+00 .736738E+00 .667193E-01 .571261E+00 .392699E+00 .686041E+00 .159793E-01 .496652E+00 .441786E+00 .636926E+00 -.138741E-01 .428117E+00 .490874E+00 .589852E+00 -.294611E-01 .366201E+00 .539961E+00 .545054E+00 -.359285E-01 .310905E+00 .589049E+00 .502606E+00 -.369994E-01 .261897E+00 .638136E+00 .462480E+00 -.351855E-01 .218667E+00 .687223E+00 .424579E+00 -.320609E-01 .180632E+00 .736311E+00 .388766E+00 -.285456E-01 .147200E+00 .785398E+00 .354886E+00 -.251492E-01 .117811E+00 .834486E+00 .322785E+00 -.221033E-01 .919517E-01 .883573E+00 .292318E+00 -.194449E-01 .691682E-01 .932660E+00 .263355E+00 -.171327E-01 .490647E-01 .981748E+00 .235779E+00 -.151564E-01 .312986E-01 .103084E+01 .209490E+00 -.135360E-01 .155772E-01 .107992E+01 .184400E+00 -.122594E-01 .165378E-02 .112901E+01 .160427E+00 -.112354E-01 -.106761E-01 .117810E+01 .137498E+00 -.103311E-01 -.215807E-01 .122718E+01 .115545E+00 -.942022E-02 -.311989E-01 .127627E+01 .945107E-01 -.843370E-02 -.396492E-01 .132536E+01 .743478E-01 -.736455E-02 -.470367E-01 .137445E+01 .550172E-01 -.628426E-02 -.534587E-01 .142353E+01 .364879E-01 -.533271E-02 -.590072E-01 .147262E+01 .187350E-01 -.467425E-02 -.637685E-01 .152171E+01 .173880E-02 -.440579E-02 -.678192E-01 .157080E+01 -.145165E-01 -.450964E-02 -.712235E-01 .161988E+01 -.300441E-01 -.486800E-02 -.740328E-01 .166897E+01 -.448575E-01 -.532728E-02 -.762892E-01 .171806E+01 -.589721E-01 -.574581E-02 -.780290E-01 .176715E+01 -.724044E-01 -.603455E-02 -.792856E-01 .181623E+01 -.851701E-01 -.618318E-02 -.800915E-01 .186532E+01 -.972848E-01 -.625178E-02 -.804779E-01 .191441E+01 -.108766E+00 -.630502E-02 -.804745E-01 .196350E+01 -.119637E+00 -.635955E-02 -.801091E-01 .201258E+01 -.129926E+00 -.636651E-02 -.794096E-01 .206167E+01 -.139662E+00 -.624759E-02 -.784070E-01 .211076E+01 -.148872E+00 -.594006E-02 -.771389E-01 .215984E+01 -.157578E+00 -.543789E-02 -.756521E-01 .220893E+01 -.165793E+00 -.477688E-02 -.740026E-01 .225802E+01 -.173526E+00 -.401711E-02 -.722523E-01 .230711E+01 -.180780E+00 -.322343E-02 -.704653E-01 .235619E+01 -.187563E+00 -.247637E-02 -.687034E-01 .240528E+01 -.193882E+00 -.184461E-02 -.670202E-01 .245437E+01 -.199746E+00 -.136029E-02 -.654564E-01 .250346E+01 -.205166E+00 -.100256E-02 -.640382E-01 .255254E+01 -.210147E+00 -.741992E-03 -.627793E-01 .260163E+01 -.214693E+00 -.571238E-03 -.616846E-01 .265072E+01 -.218804E+00 -.514655E-03 -.607531E-01 .269981E+01 -.222481E+00 -.577325E-03 -.599772E-01 .274889E+01 -.225726E+00 -.717592E-03 -.593427E-01 .279798E+01 -.228547E+00 -.852376E-03 -.588301E-01 .284707E+01 -.230954E+00 -.915978E-03 -.584180E-01 .289616E+01 -.232964E+00 -.877595E-03 -.580858E-01 .294524E+01 -.234589E+00 -.741998E-03 -.578167E-01 .299433E+01 -.235842E+00 -.534831E-03 -.576009E-01 .304342E+01 -.236732E+00 -.314987E-03 -.574382E-01 .309251E+01 -.237263E+00 -.147490E-03 -.573351E-01 .314159E+01 -.237440E+00 -.865959E-04 -.572996E-01 5. References 5.1 Kuroda, A., Kasagi, N. and Hirata, M., "A direct Numerical Simulation of the Turbulent Flow Between Two Parallel Walls: Turbulence Characteristics Near the Wall Without Mean Shear," 5th Symposium on Numerical Simulation of Turbulence, IIS of the University of Tokyo, 1990, pp. 1-5. 5.2 Kuroda, A., Kasagi, N. and Hirata, M., "Investigation of Dynamical Effects of the Mean Shear Rate on the Wall Turbulence via Direct Numerical Simulation," 27th National Heat Transfer Symposium of Japan, Nagoya, 1990, pp.46-48. 5.3 Kuroda, A., "Direct Numerical Simulation of Couette-Poiseuille Flows," Dr. Eng. Thesis, the University of Tokyo, Dec. 1990. 5.4 Kuroda, A., Kasagi, N., and Hirata, M., "Direct Numerical Simulation of Turbulent Plane Couette-Poiseuille Flows: Effect of Mean Shear on the Near-Wall Turbulence Strucutres," Proc. 9th Symposium on Turbulent Shear Flows, Kyoto, Aug. 1993, Vol. 1, pp. 8.4.1-8.4.6; also to appear in Turbulent Shear Flows 9, F. Durst, N. Kasagi, B. E. Launder, F. W. Schmidt, K. Suzuki, and J. H. Whitelaw, Eds., Springer-Verlag, Berlin, 1994. (EOF)