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.

引用

页数：7

共 17 条

[1]

[Anonymous], 2016, J SCI COMPUT

[2]

dHumieres D., 1992, PROGR ASTRONAUT AERO, P450

[3] A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation [J].

Du, Rui ;

Liu, Zixuan .

APPLIED MATHEMATICS LETTERS, 2020, 101

[4] LATTICE-GAS AUTOMATA FOR THE NAVIER-STOKES EQUATION [J].

FRISCH, U ;

HASSLACHER, B ;

POMEAU, Y .

PHYSICAL REVIEW LETTERS, 1986, 56 (14) :1505-1508

[5] Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation [J].

Ginzburg, I .

ADVANCES IN WATER RESOURCES, 2005, 28 (11) :1171-1195

[6] Multiple anisotropic collisions for advection-diffusion Lattice Boltzmann schemes [J].

Ginzburg, Irina .

ADVANCES IN WATER RESOURCES, 2013, 51 :381-404

[7] BOLTZMANN APPROACH TO LATTICE GAS SIMULATIONS [J].

HIGUERA, FJ ;

JIMENEZ, J .

EUROPHYSICS LETTERS, 1989, 9 (07) :663-668

[8] LATTICE GAS-DYNAMICS WITH ENHANCED COLLISIONS [J].

HIGUERA, FJ ;

SUCCI, S ;

BENZI, R .

EUROPHYSICS LETTERS, 1989, 9 (04) :345-349

[9] General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation [J].

Hu, Wen-Qiang ;

Jia, Shu-Liang .

APPLIED MATHEMATICS LETTERS, 2019, 91 :61-67

[10] A modified multiple-relaxation-time lattice Boltzmann model for convection-diffusion equation [J].

Huang, Rongzong ;

Wu, Huiying .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 274 :50-63

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