Discrete Boltzmann equation model for nonideal gases

被引：558

作者：

He, XY

Shan, XW

Doolen, GD

机构：

[1] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[2] Univ Calif Los Alamos Natl Lab, Div Theoret, Complex Syst Grp, Los Alamos, NM 87545 USA

[3] Phillips Lab, GPAA, Hanscom AFB, MA 01731 USA

来源：

PHYSICAL REVIEW E | 1998年 / 57卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.57.R13

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A discrete model based an 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.

引用

页码：R13 / R16

页数：4

共 18 条

[1]

ATKINSON KE, 1988, INTRO NUMERICAL ANAL

[2] A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].

BHATNAGAR, PL ;

GROSS, EP ;

KROOK, M .

PHYSICAL REVIEW, 1954, 94 (03) :511-525

[3]

Chapman S., 1991, The Mathematical Theory of Non-Uniform Gases

[4] RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].

CHEN, HD ;

CHEN, SY ;

MATTHAEUS, WH .

PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342

[5] LATTICE BHATNAGAR-GROSS-KROOK MODELS FOR MISCIBLE FLUIDS [J].

FLEKKOY, EG .

PHYSICAL REVIEW E, 1993, 47 (06) :4247-4257

[6] ON THE KINETIC THEORY OF RAREFIED GASES [J].

GRAD, H .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1949, 2 (04) :331-407

[7] A LATTICE BOLTZMANN MODEL FOR MULTIPHASE FLUID-FLOWS [J].

GRUNAU, D ;

CHEN, SY ;

EGGERT, K .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (10) :2557-2562

[8] LATTICE BOLTZMANN MODEL OF IMMISCIBLE FLUIDS [J].

GUNSTENSEN, AK ;

ROTHMAN, DH ;

ZALESKI, S ;

ZANETTI, G .

PHYSICAL REVIEW A, 1991, 43 (08) :4320-4327

[9] A priori derivation of the lattice Boltzmann equation [J].

He, XY ;

Luo, LS .

PHYSICAL REVIEW E, 1997, 55 (06) :R6333-R6336

[10]

HOU S, IN PRESS J COMPUT PH

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