A lattice Bhatnagar-Gross-Krook model for a class of the generalized Burgers equations

被引：14
|
作者：
Yu Xiao-Mei [1 ]
Shi Bao-Chang [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
来源：
CHINESE PHYSICS | 2006年 / 15卷 / 07期
关键词：
LBGK model; a class of generalized Burgers equation; stability; simulation;
D O I：
10.1088/1009-1963/15/7/010
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new lattice Bhatnagar-Gross-Krook (LBGK) model for a class of the generalized Burgers equations is proposed. It is a general LBGK model for nonlinear Burgers equations with source term in arbitrary dimensional space. The linear stability of the model is also studied. The model is numerically tested for three problems in different dimensional space, and the numerical results are compared with either analytic solutions or numerical results obtained by other methods. Satisfactory results are obtained by the numerical simulations.
引用
收藏
页码：1441 / 1449
页数：9
相关论文
共 50 条
  • [21] Bhatnagar-Gross-Krook Framework to Understand Turbulence
    Wu, Di
    Xiao, Hong
    AIAA JOURNAL, 2020, 58 (06) : 2760 - 2763
  • [22] Bhatnagar-Gross-Krook subgrid model for neutrino quantum kinetics
    Nagakura, Hiroki
    Johns, Lucas
    Zaizen, Masamichi
    PHYSICAL REVIEW D, 2024, 109 (08)
  • [23] Nonequilibrium Bhatnagar-Gross-Krook model for nitrogen shock structure
    Xu, K
    Tang, L
    PHYSICS OF FLUIDS, 2004, 16 (10) : 3824 - 3827
  • [24] Fractional Bhatnagar-Gross-Krook kinetic equation
    Goychuk, Igor
    EUROPEAN PHYSICAL JOURNAL B, 2017, 90 (11):
  • [25] IMPROVED BHATNAGAR-GROSS-KROOK MODEL OF ELECTRON-ION COLLISIONS
    GREENE, JM
    PHYSICS OF FLUIDS, 1973, 16 (11) : 2022 - 2023
  • [26] Lattice Bhatnagar-Gross-Krook Simulations in 2-D Incompressible Magnetohydrodynamics
    MA Chang-Feng~(1
    Communications in Theoretical Physics, 2005, 44 (11) : 917 - 920
  • [27] Thermal lattice Bhatnagar-Gross-Krook model for flows with viscous heat dissipation in the incompressible limit
    Shi, Y
    Zhao, TS
    Guo, ZL
    PHYSICAL REVIEW E, 2004, 70 (06):
  • [28] On the reliability of the Bhatnagar-Gross-Krook collision model in weakly ionized plasmas
    Else, D.
    Kompaneets, R.
    Vladimirov, S. V.
    PHYSICS OF PLASMAS, 2009, 16 (06)
  • [29] Lattice Bhatnagar-Gross-Krook simulations in 2-D incompressible magnetohydrodynamics
    Ma, CF
    Shi, BC
    Chen, XW
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (05) : 917 - 920
  • [30] A new lattice Bhatnagar-Gross-Krook model for the convection-diffusion equation with a source term
    Deng, B
    Shi, BC
    Wang, GC
    CHINESE PHYSICS LETTERS, 2005, 22 (02) : 267 - 270
12345