Numerical solution of Burgers' equation by lattice Boltzmann method

被引：15

作者：

Gao, Yun ^{[1
]}

Le, Li-Hua ^{[1
]}

Shi, Bao-Chang ^{[2
]}

机构：

[1] E China Inst Technol, Sch Math & Informat Sci, Fuzhou 344000, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 14期

关键词：

Lattice Boltzmann method; Burgers' equation; Numerical solution; Chapman-Enskog expansion; GALERKIN METHODS; CONVECTION; MODEL; SCHEME;

D O I：

10.1016/j.amc.2013.01.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a lattice Boltzmann model for Burgers' equation is proposed through selecting equilibrium distribution function properly. The model has been verified by three test examples. The numerical results are found in good agreement with analytical solutions and numerical solutions reported in previous studies. The advantages of the resulting method are algorithmic simplicity, parallel computation, easy handling of complicated boundary conditions, so it is very easy to implement and deal with more complex problems. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7685 / 7692

页数：8

共 50 条

[41] Numerical solution of time fractional Burgers equation
Esen, A.
Tasbozan, O.
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2015, 7 (02) : 167 - 185
[42] A multiple-relaxation-time lattice Boltzmann model for Burgers equation
Yu, Xiaomei
Zhang, Ling
Hu, Beibei
Hu, Ye
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (12) : 13342 - 13351
[43] Difference Scheme for the Numerical Solution of the Burgers Equation
Markov, V. V.
Utesinov, V. N.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2020, 60 (12) : 1985 - 1989
[44] A lattice Boltzmann method for KDV equation
Yan Guangwu
Chen Yaosong
Hu Shouxin
Acta Mechanica Sinica, 1998, 14 (1) : 18 - 26
[45] A LATTICE BOLTZMANN METHOD FOR KDV EQUATION
阎广武
陈耀松
胡守信
Acta Mechanica Sinica, 1998, (01) : 18 - 26
[46] A lattice Boltzmann method for KDV equation
Yan, GW
Chen, YS
Hu, SX
ACTA MECHANICA SINICA, 1998, 14 (01) : 18 - 26
[47] A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
Aksan, EN
APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (02) : 895 - 904
[48] Numerical Method Based on the Lattice Boltzmann Model for the Kuramoto-Sivashinsky Equation
Ye, Lina
Yan, Guangwu
Li, Tingting
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 49 (02) : 195 - 210
[49] Numerical Method Based on the Lattice Boltzmann Model for the Kuramoto-Sivashinsky Equation
Lina Ye
Guangwu Yan
Tingting Li
Journal of Scientific Computing, 2011, 49 : 195 - 210
[50] Numerical Solution of Generalized Burgers–Huxley Equation by Lie–Trotter Splitting Method
Y. Çiçek
S. Korkut
Numerical Analysis and Applications, 2021, 14 : 90 - 102

← 1 2 3 4 5 →