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A new lattice Boltzmann model for the laplace equation
Authors:Jianying Zhang   Guangwu Yan  Yinfeng Dong
Affiliation:aDepartment of Mechanics and Engineering Mathematics, College of Mathematics, Jilin University, 2699 Qianjin Street, Changchun 130012, PR China
Abstract:
In this paper, a new lattice Boltzmann equation which is independent of time is proposed. Based on the new lattice Boltzmann equation, some steady problems can be modeled by the lattice Boltzmann method. In the further study, the Laplace equation is investigated with the method of the higher-order moment of equilibrium distribution functions and a series of partial differential equations in different space scales. The numerical results show that the new method is effective.
Keywords:Lattice Boltzmann model   Laplace equation   Multi-scale expansion
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