Abstract
Three-dimensional homogeneous isotropic turbulence are simulated by the Finite Difference Lattice Boltzmann Method (FDLBM). Firstly, we analyzed the characteristics of numerical viscosity of FDLBM, and we present a method that the numerical viscosity coincides with that of the Navier-Stokes based FDM. Secondly, we conducted simulations with the Smagorinsky Model. In theenergy spectrum E (k) one detects the inertial range E (k) -k-5/3 but the large k range presents a persistent energy tail, which has been found in the case of direct simulations by conventional lattice Boltzmann scheme too. This energy tail is shown to be due to generation of non-physical longitudinal noise. But for high Reynolds number flows this noise is shown to be negligibly small.
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More From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B
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