本文给出了用于求解Poisson方程的四阶差分型格子Boltzmann模型,应用定常的格子Boltzmann方程和空间多尺度展开,得到了截断误差是四阶精度的Poisson方程。数值例子表明,该模型在精度上较相应的二阶模型有所提高。
A four-order difference type lattice Boltzmann model is employed to investigate the Poisson equation in this paper. By using the steady lattice Boltzmann equation and the multi-spatial scale expansion, the Poisson equation with four-order accuracy is obtained. Examples show that the numerical results agree well with exact solutions.
有限差分法,格子Boltzmann模型,Poisson方程, Finite Difference Method Lattice Boltzmann Model Poisson Equation一种用于Poisson方程的四阶差分型格子Boltzmann模型
闫铂,王建朝,闫广武. 一种用于Poisson方程的四阶差分型格子Boltzmann模型 A Four-Order Difference Type Lattice Boltzmann Model for the Poisson Equation[J]. 流体动力学, 2017, 05(01): 22-28. http://dx.doi.org/10.12677/IJFD.2017.51003
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