期刊
PHYSICAL REVIEW E
卷 85, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.85.016701
关键词
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资金
- National Basic Research Program of China [2011CB707305]
- National Natural Science Foundation of China [51006040, 51006039]
- Fundamental Research Funds for the Central Universities, Hust [2010MS131, 2010QN057, 2010JC005]
In this paper, a general bounce-back scheme is proposed to implement concentration or thermal boundary conditions of convection-diffusion equation with the lattice Boltzmann method (LBM). Using this scheme, the general concentration boundary conditions, i.e., b(1) partial derivative Cw/partial derivative n + b(2)C(w) = b(3), can be easily implemented at boundaries with complex geometry structure like that in porous media. The numerical results obtained using the present scheme are in excellent agreement with the analytical solutions of flows with both stationary and moving interfaces. Furthermore, to better understand the halfway bounce-back scheme, an analytical study of the concentration jump is presented. The studies of theoretical analysis and numerical experiments demonstrate that the proposed scheme has second-order accuracy.
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