Accession Number:
ADA445741
Title:
Galilean-Invariant Multi-Speed Entropic Lattice Boltzmann Models
Descriptive Note:
Journal article
Corporate Author:
TUFTS UNIV MEDFORD MA DEPT OF MATHEMATICS
Personal Author(s):
Report Date:
2004-01-01
Pagination or Media Count:
14.0
Abstract:
In recent work Phys. Rev. E 68 2003 025103, it was shown that the requirement of Galilean invariance determined the form of the H function used in entropic lattice Boltzmann models for the incompressible Navier-Stokes equations in D dimensions, The form obtained was that of the Burg entropy for D 2, and the Tsallis entropy with q 1 - 2D for D not equal 2. The conclusions obtained in that work were restricted to particles of a single-mass and speed on a Bravais lattice. In this work, we generalize the construction of such Galilean-invariant entropic lattice Boltzmann models by allowing for certain models with multiple masses and speeds. We show that the required H function for these models must be determined by solving a certain functional differential equation. Remarkably, the solutions to this equation also have the form of the Tsallis entropy, where q is determined by the solution to a certain transcendental equation, involving the dimension and symmetry properties of the lattice, as well as the masses and speeds of the particles.
Descriptors:
Subject Categories:
- Fluid Mechanics
- Thermodynamics