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Galilean-Invariant Lattice-Boltzmann Models with H-Theorem

Bruce M. Boghosian·Peter J. Love·Peter V. Coveney·Iliya V. Karlin·Sauro Succi·Jeffrey Yepez
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Abstract

We demonstrate that the requirement of galilean invariance determines the choice of H function for a wide class of entropic lattice Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-2/D for D>2, where D is the number of spatial dimensions. We use this observation to construct a fully explicit, unconditionally stable, galilean invariant, lattice-Boltzmann model for the incompressible Navier-Stokes equations, for which attainable Reynolds number is limited only by grid resolution.

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Bruce M. Boghosian, Peter J. Love, Peter V. Coveney, Iliya V. Karlin, Sauro Succi, Jeffrey Yepez. 2002-11-05. Galilean-Invariant Lattice-Boltzmann Models with H-Theorem. https://doi.org/10.1103/physreve.68.025103

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