Galilean-invariant lattice-Boltzmann models with H theorem

Boghosian, B.M., Love, P.J., Coveney, P.V., Karlin, I.V., Succi, S. and Yepez, J. (2003) Galilean-invariant lattice-Boltzmann models with H theorem. Physical Review E, 68 (2), 25103. (doi:10.1103/PhysRevE.68.025103).

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.

This record has no associated files available for download.

Contributors

Download statistics