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.
Received: 05 August 2005
Revised: 05 February 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and
60073044).
Cite this article:
Yu Xiao-Mei (余晓美), Shi Bao-Chang (施保昌) A lattice Bhatnagar--Gross--Krook model for a class of the generalized Burgers equations 2006 Chinese Physics 15 1441
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