A kinetic multiscale model

被引：7

作者：

Babovsky, H ^{[1
]}

机构：

[1] Tech Univ Ilmenau, Inst Math, D-98684 Ilmenau, Germany

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2002年 / 12卷 / 03期

关键词：

D O I：

10.1142/S0218202502001611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a system of kinetic equations which realize the Broadwell model on a variety of scales. For a 16-velocity model we verify constraints giving rise to "realistic" Euler equations. Applications to rarefied flow dynamics are developed.

引用

页码：309 / 331

页数：23

共 19 条

[1]

ANDRIES P, 2000, UMERICAL COMP BOLTZM

[2] Discretization and numerical schemes for steady kinetic model equations [J].

Babovsky, H .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (1-2) :29-40

[3] Kinetic boundary layers: on the adequate discretization of the Boltzmann collision operator [J].

Babovsky, H .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 110 (02) :225-239

[4]

BABOVSKY H, 2000, UNPUB REDUCIBLE KINE

[5] Fast deterministic method of solving the Boltzmann equation for hard spheres [J].

Bobylev, AV ;

Rjasanow, S .

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 1999, 18 (05) :869-887

[6] Numerical solution of the Boltzmann Equation using a fully conservative difference scheme based on the Fast Fourier Transform [J].

Bobylev, AV ;

Rjasanow, S .

TRANSPORT THEORY AND STATISTICAL PHYSICS, 2000, 29 (3-5) :289-310

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

BROADWELL, JE .

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

[8]

Cercignani C, 1988, BOLTZMANN EQUATION I

[9] NUMERICAL PASSAGE FROM KINETIC TO FLUID EQUATIONS [J].

CORON, F ;

PERTHAME, B .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (01) :26-42

[10] Discrete model collision operators of Boltzmann type [J].

Görsch, D .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 104 (02) :145-162

← 1 2 →