On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations

被引：3
|
作者：
Guo, Chang [1 ]
Zhao, Weifeng [1 ]
Lin, Ping [1 ,2 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China
[2] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 105卷
基金：
中国国家自然科学基金;
关键词：
Anisotropic convection-diffusion equations; Lattice Boltzmann method; Collision matrix; Half-way anti-bounce-back scheme; Second-order accuracy; MODEL; ADVECTION;
D O I：
10.1016/j.aml.2020.106304
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we are concerned with the lattice Boltzmann method for anisotropic convection-diffusion equations (CDEs). We prove that the collision matrices of many widely used lattice Boltzmann models for such equations admit an elegant property, which guarantees the second-order accuracy of the half-way anti-bounce-back scheme. Numerical experiments validated our results for both two- and three-dimensional anisotropic CDEs. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：7
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