A DISCRETE BOLTZMANN EQUATION BASED ON A CUB-OCTAHEDRON IN R3

被引：4

作者：

Andallah, Laek S. ^{[1
]}

Babovsky, Hans ^{[2
]}

机构：

[1] Jahangirnagar Univ, Dept Math, Dhaka 1342, Bangladesh

[2] Tech Univ Ilmenau, Inst Math, D-98693 Ilmenau, Germany

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2008年 / 31卷 / 02期

关键词：

Boltzmann equation; discrete velocity model;

D O I：

10.1137/060673850

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we introduce a discrete Boltzmann equation in R-3 velocity space based on a cub-octahedron. We present a layer-wise construction of a regular collision model in a bounded grid of the sphere packing problem. The paper contains the analytical results about the basic kinetic features of the regular collision model. We analyze the computational complexity, report the efficiency of the model, and perform numerical experiments based on the discrete model Boltzmann equation for some standard test problem.

引用

页码：799 / 825

页数：27

共 27 条

[1]

ANDALLAH LS, 2004, COMPUT METH APPL MAT, V4, P271

[2]

ANDALLAH LS, 2005, THESIS TU ILMENAU IL

[3]

ANDALLAH LS, 2003, MATH MOD METH APPL S, V13, P1

[4] A kinetic multiscale model [J].

Babovsky, H .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 12 (03) :309-331

[5]

BABOVSKY H, 2001, DISCRETE MODELLING D, P5

[6]

Bird G.A., 1994, MOL GAS DYNAMICS DIR

[7]

BOBYLEV AV, 1995, CR ACAD SCI I-MATH, V320, P639

[8]

BOBYLEV AV, 1975, DOKL AKAD NAUK SSSR+, V225, P1296

[9]

BROADWELL J, 1964, J FLUID MECH, V19, P367

[10] SHOCK STRUCTURE IN A SIMPLE DISCRETE VELOCITY GAS [J].

BROADWELL, JE .

PHYSICS OF FLUIDS, 1964, 7 (08) :1243-1247

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