A lattice Bhatnagar--Gross--Krook model for a class of the generalized Burgers equations |
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Authors: | Yu Xiao-Mei and Shi Bao-Chang |
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Affiliation: | Department of Mathematics, Huazhong University of Science and Technology,Wuhan 430074, China |
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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. |
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Keywords: | LBGK model a class of generalized Burgers equation stability simulation |
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