中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1441-1449.doi: 10.1088/1009-1963/15/7/010

• GENERAL • 上一篇    下一篇

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

余晓美, 施保昌   

  1. Department of Mathematics, Huazhong University of Science and Technology,Wuhan 430074, China
  • 收稿日期:2005-08-05 修回日期:2006-02-05 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and 60073044).

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

Yu Xiao-Mei (余晓美), Shi Bao-Chang (施保昌)   

  1. Department of Mathematics, Huazhong University of Science and Technology,Wuhan 430074, China
  • Received:2005-08-05 Revised:2006-02-05 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and 60073044).

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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.

Abstract: 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.

Key words: LBGK model, a class of generalized Burgers equation, stability, simulation

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.30.-f (Function theory, analysis) 02.60.Cb (Numerical simulation; solution of equations)