A discrete Boltzmann equation based on hexagons

被引：12

作者：

Andallah, LS ^{[1
]}

Babovsky, H ^{[1
]}

机构：

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

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 11期

关键词：

Boltzmann equation; discrete velocity model;

D O I：

10.1142/S0218202503003021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop the theory of a Boltzmann equation which is based on a hexagonal discretization of the velocity space. We prove that such a model contains all the basic features of classical kinetic theory, like collision invariants, H-theorem, equilibrium solutions, features of the linearized problem etc. This theory includes the infinite as well as finite hexagonal grids which may be used for numerical purposes.

引用

页码：1537 / 1563

页数：27

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