title: Galilean-invariant lattice-Boltzmann models with H theorem.
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.
authors.affiliation: Department of Mathematics, Bromfield-Pearson Hall, Tufts University, Medford, Massachusetts 02155, USA.
authors.forename: Bruce M
authors.initials: BM
authors.lastname: Boghosian
authors.forename: Peter J
authors.initials: PJ
authors.lastname: Love
authors.forename: Peter V
authors.initials: PV
authors.lastname: Coveney
authors.forename: Iliya V
authors.initials: IV
authors.lastname: Karlin
authors.forename: Sauro
authors.initials: S
authors.lastname: Succi
authors.forename: Jeffrey
authors.initials: J
authors.lastname: Yepez