Lattice Boltzmann Method to simulate two dimension Burgers equation

被引：0
|
作者：
Shen, ZJ [1 ]
Yuan, GW [1 ]
Shen, LJ [1 ]
机构：
[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
FIFTH INTERNATIONAL CONFERENCE ON ALGORITHMS AND ARCHITECTURES FOR PARALLEL PROCESSING, PROCEEDINGS | 2002年
关键词：
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is well known that Lattice Boltzmann Method (LBM) makes great success in many computational physics fields. But contrasting with its application, the numerical theory in Lattice Boltzmann method makes a little development. We will try to do something in this aspect. In order to solve a two dimension Burgers equation, a lattice Boltzmann scheme with BGK model is constructed. The maximum value principle is proved and the stability is obtained too. Numerical experiments show the second order convergent accuracy of the scheme.
引用
收藏
页码：306 / 309
页数：4
相关论文
共 50 条
  • [31] A lattice Boltzmann method for two-dimensional convection-diffusion equation
    Liu, MR
    Chen, RH
    Li, HB
    Kong, LJ
    ACTA PHYSICA SINICA, 1999, 48 (10) : 1800 - 1803
  • [32] A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method
    Li, Qiaojie
    Zheng, Zhoushun
    Wang, Shuang
    Liu, Jiankang
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [33] Simulation of the MKDV equation with lattice Boltzmann method
    2001, Science Press (50):
  • [34] Simulation of the MKDV equation with lattice Boltzmann method
    Li, HB
    Huang, PH
    Liu, MR
    Kong, LJ
    ACTA PHYSICA SINICA, 2001, 50 (05) : 837 - 840
  • [35] Fluctuating lattice Boltzmann method for the diffusion equation
    Wagner, Alexander J.
    Strand, Kyle
    PHYSICAL REVIEW E, 2016, 94 (03)
  • [36] THE LATTICE BOLTZMANN EQUATION METHOD FOR COMPLEX FLOWS
    Schaefer, Laura
    Ikeda, Michael
    Bao, Jie
    PROCEEDINGS OF THE ASME 10TH INTERNATIONAL CONFERENCE ON NANOCHANNELS, MICROCHANNELS AND MINICHANNELS 2012, 2012, : 687 - +
  • [37] Lattice Boltzmann method for solving the bioheat equation
    Zhang, Haifeng
    PHYSICS IN MEDICINE AND BIOLOGY, 2008, 53 (03): : N15 - N23
  • [38] Lattice Boltzmann method for simulating MKDV equation
    College of Math. and Computer Science, Fujian Normal University, Fuzhou 350007, China
    不详
    Kongqi Donglixue Xuebao, 2006, 4 (495-497):
  • [39] Simulation of the MKDV equation with lattice Boltzmann method
    Li, Hua-Bing
    Huang, Ping-Hua
    Liu, Mu-Ren
    Kong, Ling-Jiang
    Wuli Xuebao/Acta Physica Sinica, 2001, 50 (05): : 839 - 840
  • [40] Derivation of the lattice Boltzmann method by means of the discrete ordinate method for the Boltzmann equation
    Abe, T
    JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 131 (01) : 241 - 246
12345