Galilean-Invariant Lattice-Boltzmann Models with H Theorem

Abstract

The authors 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. They 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. (14 refs.)

Document Details

• Document Type: Technical Report
• Publication Date: Aug 26, 2003
• Accession Number: ADA423000

Entities

People

• Bruce M. Boghosian
• Iliya V. Karlin
• Peter Coveney
• Peter J. Love
• Sauro Succi

Organizations

• Tufts University

Tags

DTIC Thesaurus Topics

• Air Force
• Air Force Research Laboratories
• Bravais Lattices
• Computational Science
• Differential Equations
• Distribution Functions
• Equations
• Fluid Dynamics
• Invariance
• Lyapunov Functions
• Mach Number
• Mathematics
• Mechanics
• Navier Stokes Equations
• Nonlinear Differential Equations
• Physics Laboratories
• Reynolds Number

Fields of Study

• Mathematics

Readers

• Computational Fluid Dynamics (CFD)
• Fluid Dynamics.
• Mathematical Modeling and Probability Theory.