Abstract

Recently, it was shown that energy conserving (EC) lattice Boltzmann (LB) model is more accurate than athermal LB model for high-resolution simulations of athermal flows. However, in the sub-grid (SG) domain, the behavior is found to be opposite. In this work, we show that via multi-relaxation model, it is possible to preserve the accuracy of the EC LB for both SG and direct numerical simulation (DNS) models. We show that by introducing a nonunit Prandtl number, under-resolved simulations can also be performed quite efficiently, a property which we attribute to the enhanced sound-relaxation.

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