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Decaying turbulence in two and three dimensions - Chasnov, Jeffrey R.
A review of decaying isotropic turbulence in two and three dimensions is presented. In both dimensions, exact results can be obtained by assuming that for small Reynolds numbers the nonlinear convective terms in the equation of motion are negligible. These analytical results obtained from a linear equation demonstrate explicitly that the decay laws depend on the form of the energy spectrum near zero wavenumber. In three dimensions, high Reynolds number decay laws can be obtained by assuming that these laws continue to depend on invariant or near-invariant low wavenumber spectral coefficients but become independent of viscosity. Results of numerical simulations...
(534641 bytes; application/pdf) - 15-jun-2006