Reynolds number dependence of isotropic Navier-Stokes turbulence

Details Reynolds number dependence of isotropic Navier-Stokes turbulence Reynolds number dependence of isotropic Navier-Stokes turbulence

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvl..70.3251s&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 70, no. 21, p. 3251-3254.

Physics

49

Energy Spectra, Incompressible Flow, Isotropic Turbulence, Navier-Stokes Equation, Reynolds Number, Kolmogorov Theory, Least Squares Method

Scientific paper

Reynolds number dependence of turbulence energy spectra and higher-order moments of velocity differences is explored by numerical integrations of the incompressive Navier-Stokes equation. The simulations have spatial resolutions up to 512-cubed and cover R(lambda) between 15 and 200, where R(lambda) is the Taylor microscale Reynolds number. The energy spectra collapse when scaled by the wave number kp of peak dissipation and also by the spectrum level at k(p). k(p) varies with R(lambda) in accord with the 1941 Kolmogorov theory. High-order normalized moments of velocity differences over inertial-range distances exhibit an R(lambda)-independent variation with separation distance. Implications of these observations are discussed.

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