Numerical solution of the Boltzmann Equation using a fully conservative difference scheme based on the Fast Fourier Transform

被引：17

作者：

Bobylev, AV

Rjasanow, S

机构：

[1] MV Keldysh Appl Math Inst, Moscow 125047, Russia

[2] Univ Saarland, Fachbereich Math 9, D-66041 Saarbrucken, Germany

来源：

TRANSPORT THEORY AND STATISTICAL PHYSICS | 2000年 / 29卷 / 3-5期

关键词：

D O I：

10.1080/00411450008205876

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An effective deterministic method based on the Fast Fourier Transform (FFT) for the Boltzmann equation with Maxwell molecules is considered. The global existence, uniqueness and limitedness of the discrete solution is proved. An effective procedure for the conservation of the macroscopic quantities is described. The results of some numerical tests are presented.

引用

页码：289 / 310

页数：22

共 17 条

[1]

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

[2]

Bobylev A, 1997, EUR J MECH B-FLUID, V16, P293

[3]

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

[4]

BOBYLEV AV, 1975, DOKL AKAD NAUK SSSR+, V225, P1041