Multireflection boundary conditions for lattice Boltzmann models -: art. no. 066614
Multireflection boundary conditions for lattice Boltzmann models -: art. no. 066614
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DOI：
10.1103/physreve.68.066614
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发表时间：
2003-12-01
影响因子：
2.4
通讯作者：
d'Humières, D
中科院分区：
文献类型：
--
作者：
Ginzburg, I;d'Humières, D
我们给出了格子Boltzmann模型的几种边界条件的一般框架，如回弹规则、线性和二次插值法。目标有两个：一是为研究现有的链式边界条件及其相应的精度提供理论工具；二是为一般流动设计三阶动力学精度的边界条件。使用这些新的边界条件，Couette流和Poiseuille流是雷诺数Re=0(Stokes极限)下的格子Boltzmann模型的精确解。给出了圆球和圆柱体周期排列中的Stokes流动、运动平板之间的线性圆柱周期排列中的Stokes流动和Re中周期圆柱排列中的Navier-Stokes流动的数值比较
We present a general framework for several previously introduced boundary conditions for lattice Boltzmann models, such as the bounce-back rule and the linear and quadratic interpolations. The objectives are twofold: first to give theoretical tools to study the existing link-type boundary conditions and their corresponding accuracy; second to design boundary conditions for general flows which are third-order kinetic accurate. Using these new boundary conditions, Couette and Poiseuille flows are exact solutions of the lattice Boltzmann models for a Reynolds number Re=0 (Stokes limit) for arbitrary inclination with the lattice directions. Numerical comparisons are given for Stokes flows in periodic arrays of spheres and cylinders, linear periodic array of cylinders between moving plates, and for Navier-Stokes flows in periodic arrays of cylinders for Re