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The lattice Boltzmann model for the second-order Benjamin–Ono equations

haixing 添加于 2010-9-12 19:35 | 2467 次阅读 | 0 个评论

作者
Lai H, Ma C
摘要
In this paper, in order to extend the lattice Boltzmann method to deal with more complicated nonlinear equations, we propose a 1D lattice Boltzmann scheme with an amending function for the second-order (1 + 1)-dimensional Benjamin–Ono equation. With the Taylor expansion and the Chapman–Enskog expansion, the governing evolution equation is recovered correctly from the continuous Boltzmann equation. The equilibrium distribution function and the amending function are obtained. Numerical simulations are carried out for the 'good' Boussinesq equation and the 'bad' one to validate the proposed model. It is found that the numerical results agree well with the analytical solutions. The present model can be used to solve more kinds of nonlinear partial differential equations.
详细资料
- 文献种类:期刊
- 期刊名称: Journal of Statistical Mechanics: Theory and Experiment
- 期刊缩写: J. Stat. Mech.
- 期卷页: 2010年第2010卷第04期 P04011页
- ISBN: 1742-5468
标签

,“lattice Boltzmann methods ”,“Benjamin–Ono equations” partial differential equations
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附件
The lattice Boltzmann model for the second-order Benjamin–Ono equations