A novel lattice Boltzmann model for the Poisson equation |
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| Authors: | Zhenhua Chai Baochang Shi |
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| Affiliation: | 1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, PR China;2. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China |
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| Abstract: | In this paper, a novel lattice Boltzmann model is proposed to solve the Poisson equation through modifying equilibrium distribution function. Compared with previous models, which can be viewed as the solvers to diffusion equation, the present model is a genuine solver to the Poisson equation, and the transient term derived by previous models is eliminated. Numerical solutions agree well with analytical solutions, which indicates the potential of the present model for solving the Poisson equation. |
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| Keywords: | Lattice Boltzmann method The Poisson equation Chapman&ndash Enskog expansion |
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