HOM02

Unpublished data from A.A.Wray  (1997)

This file contains 1-d longitudinal energy spectra Ep(k,t) for decaying isotropic turbulence
from a 512x512x512 DNS simulation, as a function of wavenumber magnitude, k, and time, t.
The k values are simply the nk integers 0,1, ..., nk-1.
The Ep(k,t) are averages of the three longitudinal spectra E11(k1,t), E22(k2,t), E33(k3,t)
at k1=k2=k3=k.
The data structure at each t is as follows:

nk t
Ep(0,t)
Ep(1,t)
...
Ep(nk-1,t)

This structure is then repeated for subsequent times.

 242 1.00450E+00
 4.11790E-02
 7.76988E-02
 6.11950E-02
 4.76909E-02
 4.07703E-02
 3.31988E-02
 2.81343E-02
 2.31379E-02
 1.99602E-02
 1.71869E-02
 1.51257E-02
 1.31489E-02
 1.20648E-02
 1.07318E-02
 9.51611E-03
 8.81712E-03
 7.85142E-03
 7.26574E-03
 6.62319E-03
 6.00802E-03
 5.53282E-03
 5.15459E-03
 4.74457E-03
 4.39237E-03
 4.05793E-03
 3.77024E-03
 3.49145E-03
 3.28439E-03
 3.08150E-03
 2.87627E-03
 2.66931E-03
 2.53019E-03
 2.37029E-03
 2.21925E-03
 2.09936E-03
 1.97830E-03
 1.86577E-03
 1.75869E-03
 1.66565E-03
 1.58157E-03
 1.49173E-03
 1.41111E-03
 1.34885E-03
 1.27732E-03
 1.20545E-03
 1.15146E-03
 1.09843E-03
 1.04697E-03
 9.97855E-04
 9.51335E-04
 9.09112E-04
 8.66687E-04
 8.27153E-04
 7.93551E-04
 7.62785E-04
 7.28015E-04
 6.95254E-04
 6.67485E-04
 6.41293E-04
 6.17715E-04
 5.88902E-04
 5.69262E-04
 5.44686E-04
 5.23963E-04
 5.07235E-04
 4.85607E-04
 4.67795E-04
 4.51673E-04
 4.32944E-04
 4.17968E-04
 4.05386E-04
 3.90245E-04
 3.76515E-04
 3.65372E-04
 3.52458E-04
 3.40358E-04
 3.29455E-04
 3.17798E-04
 3.06872E-04
 2.97659E-04
 2.87785E-04
 2.78277E-04
 2.69236E-04
 2.61358E-04
 2.53693E-04
 2.45862E-04
 2.37897E-04
 2.30720E-04
 2.23997E-04
 2.16844E-04
 2.10897E-04
 2.04549E-04
 1.98530E-04
 1.92473E-04
 1.87245E-04
 1.81728E-04
 1.76765E-04
 1.71758E-04
 1.66979E-04
 1.62491E-04
 1.58188E-04
 1.53701E-04
 1.49590E-04
 1.45249E-04
 1.41803E-04
 1.37711E-04
 1.33868E-04
 1.30110E-04
 1.26933E-04
 1.23777E-04
 1.20322E-04
 1.17104E-04
 1.14141E-04
 1.11144E-04
 1.08252E-04
 1.05368E-04
 1.02800E-04
 1.00063E-04
 9.72368E-05
 9.46532E-05
 9.23642E-05
 9.02030E-05
 8.76961E-05
 8.54760E-05
 8.32315E-05
 8.13180E-05
 7.90467E-05
 7.71030E-05
 7.53218E-05
 7.32022E-05
 7.15519E-05
 6.97054E-05
 6.80812E-05
 6.61563E-05
 6.43644E-05
 6.28352E-05
 6.11371E-05
 5.97102E-05
 5.81365E-05
 5.70212E-05
 5.53803E-05
 5.37968E-05
 5.24864E-05
 5.10991E-05
 4.96726E-05
 4.84251E-05
 4.73417E-05
 4.60748E-05
 4.47755E-05
 4.36729E-05
 4.25217E-05
 4.13316E-05
 4.00544E-05
 3.90978E-05
 3.80515E-05
 3.70337E-05
 3.59473E-05
 3.50683E-05
 3.40924E-05
 3.30616E-05
 3.21482E-05
 3.13345E-05
 3.03229E-05
 2.94320E-05
 2.86990E-05
 2.77920E-05
 2.70120E-05
 2.61487E-05
 2.54540E-05
 2.46998E-05
 2.39293E-05
 2.31577E-05
 2.25227E-05
 2.18050E-05
 2.10804E-05
 2.04355E-05
 1.97617E-05
 1.91341E-05
 1.84846E-05
 1.79133E-05
 1.72713E-05
 1.67189E-05
 1.61486E-05
 1.55442E-05
 1.49347E-05
 1.44754E-05
 1.40207E-05
 1.34522E-05
 1.28959E-05
 1.24551E-05
 1.18917E-05
 1.14586E-05
 1.10474E-05
 1.05865E-05
 1.01561E-05
 9.70763E-06
 9.24273E-06
 8.87704E-06
 8.43609E-06
 8.07280E-06
 7.69731E-06
 7.31590E-06
 6.96968E-06
 6.62128E-06
 6.26434E-06
 5.95275E-06
 5.64086E-06
 5.32418E-06
 5.02346E-06
 4.72849E-06
 4.45768E-06
 4.16775E-06
 3.91892E-06
 3.64695E-06
 3.42967E-06
 3.18698E-06
 2.94137E-06
 2.73132E-06
 2.50781E-06
 2.29110E-06
 2.10380E-06
 1.90123E-06
 1.73567E-06
 1.55932E-06
 1.40943E-06
 1.25207E-06
 1.10564E-06
 9.70920E-07
 8.41656E-07
 7.33657E-07
 6.15521E-07
 5.08395E-07
 4.25881E-07
 3.37078E-07
 2.60340E-07
 1.96705E-07
 1.40120E-07
 9.46269E-08
 5.57814E-08
 2.72719E-08
 9.15161E-09
 6.52748E-10
 242 1.06521E+00
 3.71560E-02
 6.95773E-02
 5.45425E-02
 4.24490E-02
 3.58646E-02
 2.90118E-02
 2.45493E-02
 2.03216E-02
 1.75673E-02
 1.50993E-02
 1.34698E-02
 1.18112E-02
 1.07664E-02
 9.60963E-03
 8.56375E-03
 7.87592E-03
 7.06918E-03
 6.58538E-03
 5.93662E-03
 5.46977E-03
 5.04858E-03
 4.67551E-03
 4.32248E-03
 4.01174E-03
 3.72898E-03
 3.49465E-03
 3.21791E-03
 3.02522E-03
 2.82718E-03
 2.65229E-03
 2.47305E-03
 2.35031E-03
 2.20482E-03
 2.06761E-03
 1.95362E-03
 1.83907E-03
 1.73707E-03
 1.64512E-03
 1.55837E-03
 1.48165E-03
 1.40068E-03
 1.32796E-03
 1.26102E-03
 1.19211E-03
 1.13926E-03
 1.09277E-03
 1.03663E-03
 9.84556E-04
 9.41930E-04
 9.02374E-04
 8.56699E-04
 8.22384E-04
 7.87224E-04
 7.51343E-04
 7.18838E-04
 6.87050E-04
 6.64360E-04
 6.35014E-04
 6.09147E-04
 5.85736E-04
 5.66200E-04
 5.41862E-04
 5.19515E-04
 4.99601E-04
 4.80800E-04
 4.62919E-04
 4.46175E-04
 4.29984E-04
 4.14022E-04
 3.99479E-04
 3.84998E-04
 3.72474E-04
 3.59355E-04
 3.48468E-04
 3.34713E-04
 3.25200E-04
 3.13317E-04
 3.03774E-04
 2.93246E-04
 2.83964E-04
 2.75272E-04
 2.66384E-04
 2.57763E-04
 2.49948E-04
 2.41915E-04
 2.33943E-04
 2.27817E-04
 2.20595E-04
 2.14159E-04
 2.07716E-04
 2.01503E-04
 1.95408E-04
 1.89846E-04
 1.84046E-04
 1.79479E-04
 1.74294E-04
 1.68608E-04
 1.64270E-04
 1.60030E-04
 1.55057E-04
 1.51079E-04
 1.46456E-04
 1.42491E-04
 1.39081E-04
 1.34719E-04
 1.31524E-04
 1.27886E-04
 1.24250E-04
 1.21080E-04
 1.17856E-04
 1.15068E-04
 1.11762E-04
 1.08598E-04
 1.06396E-04
 1.03107E-04
 1.00446E-04
 9.78375E-05
 9.49680E-05
 9.25800E-05
 9.03438E-05
 8.81277E-05
 8.59422E-05
 8.38636E-05
 8.13514E-05
 7.94719E-05
 7.72273E-05
 7.53518E-05
 7.33862E-05
 7.16438E-05
 6.97102E-05
 6.78875E-05
 6.62409E-05
 6.46725E-05
 6.28928E-05
 6.11773E-05
 5.98577E-05
 5.81489E-05
 5.67685E-05
 5.51632E-05
 5.38478E-05
 5.23825E-05
 5.09702E-05
 4.98342E-05
 4.85262E-05
 4.73080E-05
 4.59759E-05
 4.46920E-05
 4.35507E-05
 4.23525E-05
 4.12603E-05
 4.02202E-05
 3.91777E-05
 3.80328E-05
 3.71047E-05
 3.60795E-05
 3.50897E-05
 3.40336E-05
 3.31610E-05
 3.22611E-05
 3.12677E-05
 3.05094E-05
 2.96227E-05
 2.86582E-05
 2.79301E-05
 2.71354E-05
 2.63251E-05
 2.55773E-05
 2.48427E-05
 2.40518E-05
 2.33192E-05
 2.26785E-05
 2.19836E-05
 2.12669E-05
 2.05345E-05
 1.99123E-05
 1.93396E-05
 1.86718E-05
 1.81088E-05
 1.74818E-05
 1.69416E-05
 1.63228E-05
 1.57445E-05
 1.52800E-05
 1.47029E-05
 1.42122E-05
 1.35976E-05
 1.32474E-05
 1.26426E-05
 1.21557E-05
 1.17183E-05
 1.12972E-05
 1.08686E-05
 1.03666E-05
 9.95470E-06
 9.58520E-06
 9.15230E-06
 8.78747E-06
 8.35531E-06
 7.99149E-06
 7.62399E-06
 7.25703E-06
 6.92313E-06
 6.60566E-06
 6.24664E-06
 5.92036E-06
 5.60546E-06
 5.31082E-06
 5.02975E-06
 4.74952E-06
 4.48592E-06
 4.19836E-06
 3.97068E-06
 3.68092E-06
 3.45021E-06
 3.23782E-06
 2.98868E-06
 2.76801E-06
 2.56148E-06
 2.35977E-06
 2.16531E-06
 1.97602E-06
 1.79377E-06
 1.64280E-06
 1.47356E-06
 1.32754E-06
 1.17449E-06
 1.03848E-06
 9.11550E-07
 7.94315E-07
 6.84557E-07
 5.72829E-07
 4.75049E-07
 3.95243E-07
 3.14721E-07
 2.46384E-07
 1.82625E-07
 1.30474E-07
 8.72695E-08
 5.23442E-08
 2.65180E-08
 8.52202E-09
 5.87300E-10
 242 1.13150E+00
 3.32825E-02
 6.22004E-02
 4.82574E-02
 3.75106E-02
 3.12861E-02
 2.49165E-02
 2.12232E-02
 1.75733E-02
 1.53098E-02
 1.31021E-02
 1.18288E-02
 1.03644E-02
 9.47854E-03
 8.38902E-03
 7.53103E-03
 6.92755E-03
 6.27784E-03
 5.78833E-03
 5.26134E-03
 4.85680E-03
 4.52499E-03
 4.13013E-03
 3.84436E-03
 3.58094E-03
 3.34242E-03
 3.13662E-03
 2.89216E-03
 2.70678E-03
 2.54798E-03
 2.38789E-03
 2.25307E-03
 2.10983E-03
 1.98817E-03
 1.87452E-03
 1.76760E-03
 1.66657E-03
 1.58832E-03
 1.49253E-03
 1.41656E-03
 1.34418E-03
 1.27617E-03
 1.20638E-03
 1.14729E-03
 1.08734E-03
 1.04099E-03
 9.88697E-04
 9.45128E-04
 9.01285E-04
 8.58317E-04
 8.21557E-04
 7.86935E-04
 7.46000E-04
 7.16228E-04
 6.87470E-04
 6.54535E-04
 6.33675E-04
 6.03511E-04
 5.77875E-04
 5.55812E-04
 5.32987E-04
 5.13972E-04
 4.92953E-04
 4.72056E-04
 4.54064E-04
 4.38905E-04
 4.23143E-04
 4.06751E-04
 3.91283E-04
 3.78379E-04
 3.63987E-04
 3.50035E-04
 3.37926E-04
 3.26882E-04
 3.14658E-04
 3.05722E-04
 2.95251E-04
 2.84560E-04
 2.75729E-04
 2.66604E-04
 2.57660E-04
 2.49687E-04
 2.41651E-04
 2.33961E-04
 2.25996E-04
 2.19147E-04
 2.12992E-04
 2.05240E-04
 2.00061E-04
 1.93780E-04
 1.87898E-04
 1.82748E-04
 1.76660E-04
 1.71378E-04
 1.66699E-04
 1.61508E-04
 1.57027E-04
 1.52762E-04
 1.48158E-04
 1.43842E-04
 1.39851E-04
 1.36079E-04
 1.32435E-04
 1.28449E-04
 1.24727E-04
 1.21304E-04
 1.17972E-04
 1.14864E-04
 1.11775E-04
 1.08917E-04
 1.05906E-04
 1.02876E-04
 1.00405E-04
 9.74475E-05
 9.49578E-05
 9.22725E-05
 9.00716E-05
 8.77851E-05
 8.52084E-05
 8.30584E-05
 8.08040E-05
 7.89624E-05
 7.65522E-05
 7.49031E-05
 7.28564E-05
 7.09341E-05
 6.91982E-05
 6.71738E-05
 6.55273E-05
 6.40487E-05
 6.22279E-05
 6.04894E-05
 5.91338E-05
 5.73363E-05
 5.61785E-05
 5.46494E-05
 5.31138E-05
 5.18400E-05
 5.03254E-05
 4.90439E-05
 4.77704E-05
 4.65557E-05
 4.52645E-05
 4.42553E-05
 4.30006E-05
 4.20195E-05
 4.08288E-05
 3.97477E-05
 3.86702E-05
 3.75957E-05
 3.65380E-05
 3.56581E-05
 3.47115E-05
 3.37590E-05
 3.27733E-05
 3.18961E-05
 3.10030E-05
 3.01735E-05
 2.94935E-05
 2.85484E-05
 2.76419E-05
 2.69536E-05
 2.62015E-05
 2.54342E-05
 2.46526E-05
 2.40254E-05
 2.33664E-05
 2.26153E-05
 2.19243E-05
 2.12580E-05
 2.06171E-05
 2.00347E-05
 1.93949E-05
 1.87816E-05
 1.81224E-05
 1.76082E-05
 1.69758E-05
 1.65014E-05
 1.59579E-05
 1.53936E-05
 1.49205E-05
 1.43469E-05
 1.38978E-05
 1.33706E-05
 1.29452E-05
 1.24293E-05
 1.20744E-05
 1.15568E-05
 1.11419E-05
 1.07098E-05
 1.03124E-05
 9.88696E-06
 9.50856E-06
 9.13564E-06
 8.74337E-06
 8.40322E-06
 8.03521E-06
 7.70361E-06
 7.36467E-06
 7.01885E-06
 6.67361E-06
 6.39599E-06
 6.08673E-06
 5.81182E-06
 5.51152E-06
 5.17065E-06
 4.92625E-06
 4.66576E-06
 4.41606E-06
 4.16611E-06
 3.91889E-06
 3.70137E-06
 3.45700E-06
 3.22459E-06
 3.01082E-06
 2.81507E-06
 2.61206E-06
 2.42272E-06
 2.24390E-06
 2.06611E-06
 1.88039E-06
 1.73157E-06
 1.57095E-06
 1.43770E-06
 1.29674E-06
 1.14855E-06
 1.03448E-06
 9.19683E-07
 7.99217E-07
 6.95226E-07
 5.92067E-07
 5.06378E-07
 4.19132E-07
 3.50214E-07
 2.77185E-07
 2.16330E-07
 1.61345E-07
 1.13837E-07
 7.60941E-08
 4.55195E-08
 2.28809E-08
 7.48756E-09
 5.47186E-10
 242 1.20388E+00
 2.97512E-02
 5.55380E-02
 4.24491E-02
 3.30419E-02
 2.71962E-02
 2.12961E-02
 1.81380E-02
 1.50796E-02
 1.32549E-02
 1.13365E-02
 1.01535E-02
 8.96614E-03
 8.17375E-03
 7.28383E-03
 6.49945E-03
 5.97464E-03
 5.48899E-03
 4.99690E-03
 4.62068E-03
 4.21903E-03
 3.94041E-03
 3.60059E-03
 3.37177E-03
 3.13838E-03
 2.92553E-03
 2.70894E-03
 2.53297E-03
 2.37289E-03
 2.22794E-03
 2.09319E-03
 1.98103E-03
 1.85395E-03
 1.74227E-03
 1.64387E-03
 1.56033E-03
 1.46229E-03
 1.39550E-03
 1.32482E-03
 1.24735E-03
 1.18544E-03
 1.11773E-03
 1.06823E-03
 1.01491E-03
 9.62979E-04
 9.15520E-04
 8.70674E-04
 8.29218E-04
 7.93758E-04
 7.54208E-04
 7.23883E-04
 6.90200E-04
 6.59773E-04
 6.30911E-04
 6.02810E-04
 5.79951E-04
 5.54654E-04
 5.29739E-04
 5.07369E-04
 4.87922E-04
 4.68125E-04
 4.49959E-04
 4.31191E-04
 4.15657E-04
 3.98785E-04
 3.82487E-04
 3.69425E-04
 3.54734E-04
 3.42328E-04
 3.29676E-04
 3.17986E-04
 3.06196E-04
 2.93999E-04
 2.84028E-04
 2.75227E-04
 2.65598E-04
 2.57411E-04
 2.46429E-04
 2.39452E-04
 2.30471E-04
 2.22243E-04
 2.15626E-04
 2.08563E-04
 2.02056E-04
 1.95402E-04
 1.89127E-04
 1.83172E-04
 1.77520E-04
 1.71776E-04
 1.66650E-04
 1.60823E-04
 1.55995E-04
 1.51625E-04
 1.47050E-04
 1.42305E-04
 1.38208E-04
 1.34225E-04
 1.30279E-04
 1.26486E-04
 1.22720E-04
 1.19102E-04
 1.16192E-04
 1.12208E-04
 1.09265E-04
 1.06165E-04
 1.02750E-04
 9.99524E-05
 9.72996E-05
 9.45722E-05
 9.24411E-05
 8.93060E-05
 8.69190E-05
 8.49529E-05
 8.21525E-05
 8.00897E-05
 7.78860E-05
 7.58761E-05
 7.36280E-05
 7.16182E-05
 6.97925E-05
 6.76814E-05
 6.61209E-05
 6.44345E-05
 6.25484E-05
 6.09101E-05
 5.92759E-05
 5.78400E-05
 5.62013E-05
 5.48759E-05
 5.33899E-05
 5.20034E-05
 5.06951E-05
 4.93309E-05
 4.78881E-05
 4.67286E-05
 4.53522E-05
 4.41879E-05
 4.29764E-05
 4.19030E-05
 4.08439E-05
 3.97803E-05
 3.86568E-05
 3.74886E-05
 3.66571E-05
 3.56126E-05
 3.46826E-05
 3.37315E-05
 3.28089E-05
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