Galilean-Invariant Lattice-Boltzmann Models with H-Theorem

Details Galilean-Invariant Lattice-Boltzmann Models with H-Theorem Galilean-Invariant Lattice-Boltzmann Models with H-Theorem

2002-11-05

arxiv.org/abs/cond-mat/0211093v1

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevE.68.025103

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.

Affiliated with

Also associated with

No associations

Rating

Galilean-Invariant Lattice-Boltzmann Models with H-Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Galilean-Invariant Lattice-Boltzmann Models with H-Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Galilean-Invariant Lattice-Boltzmann Models with H-Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635920