Discrete Boltzmann equation model for nonideal gases
Abstract
A discrete model based on the Boltzmann equation with a body force and a single relaxation time collision model is derived for simulations of nonideal-gas flow. The interparticle interaction is treated using a mean-field approximation. The Boltzmann equation is discretized in a way that preserves the derivation of the hydrodynamic equations from the Boltzmann equation, using either the Chapman-Enskog method or the Grad 13-moment method. The previously proposed nonideal-gas lattice Boltzmann equation model can be analyzed with rigor.
- Publication:
-
Physical Review E
- Pub Date:
- January 1998
- DOI:
- 10.1103/PhysRevE.57.R13
- Bibcode:
- 1998PhRvE..57...13H
- Keywords:
-
- 47.55.Kf;
- 02.70.-c;
- 05.70.Ln;
- 51.20.+d;
- Particle-laden flows;
- Computational techniques;
- simulations;
- Nonequilibrium and irreversible thermodynamics;
- Viscosity diffusion and thermal conductivity