Minimal entropic kinetic models for simulating hydrodynamics

Preprint

2 October 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0205510

Abstract

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A simple analytical procedure of constructing the equilibrium for the nonisothermal hydrodynamics is established. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the set up of Taylor vortex flow. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented.

Keywords

LATTICE BOLTZMANN METHOD
MODELS FOR SIMULATING
MINIMAL ENTROPIC
ENTROPIC KINETIC
MINIMAL DISCRETE
DERIVE MINIMAL
HYDRODYNAMICS

All Related Versions

Version 1, 2002-05-24, ArXiv
Version 2, 2002-10-02, ArXiv
Published version: Europhysics Letters, 63 (6), 798.

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