DNS of homogenous shear turbulence revisited with the lattice Boltzmann method
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Direct numerical simulations (DNSs) of homogenous shear turbulence are performed using the lattice Boltzmann method (LBM). This problem is revisited for two principle reasons: (i) to establish the validity of the LBM as an effective computational tool for turbulence; and (ii) to perform a detailed investigation of the dependence of the asymptotic state of turbulence on the initial Reynolds number and strain rate. We first demonstrate that Reynolds stress anisotropy evolution obtained by the LBM is in excellent agreement with classical experimental data and Navier-Stokes DNS (NS-DNS) results. Our results indicate that the asymptotic state depends weakly on initial shear but strongly on initial Reynolds number in the low Reynolds number regime. The Reynolds number dependence appears to diminish with increasing Reynolds number. 2005 Taylor & Francis Group Ltd.