A New Lattice Bhatnagar--Gross--Krook Model for the Convection--Diffusion Equation with a Source Term
DENG Bin1, SHI Bao-Chang1,2, WANG Guang-Chao1
1Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074
2State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074
A New Lattice Bhatnagar--Gross--Krook Model for the Convection--Diffusion Equation with a Source Term
DENG Bin1;SHI Bao-Chang1,2;WANG Guang-Chao1
1Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074
2State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074
Abstract： A new lattice Bhatnagar--Gross--Krook (LBGK) model for the convection--diffusion equation with a source term is proposed. Unlike the models proposed previously, the present model does not require any additional assumption on the source term. Numerical results are found to be in excellent agreement with the analytical solutions. It is also found that the numerical accuracy of the model is much better than that of the existing models.
DENG Bin;SHI Bao-Chang;WANG Guang-Chao. A New Lattice Bhatnagar--Gross--Krook Model for the Convection--Diffusion Equation with a Source Term[J]. 中国物理快报, 2005, 22(2): 267-270.
DENG Bin, SHI Bao-Chang, WANG Guang-Chao. A New Lattice Bhatnagar--Gross--Krook Model for the Convection--Diffusion Equation with a Source Term. Chin. Phys. Lett., 2005, 22(2): 267-270.
2005, Vol. 22 
