嵌套边界的非均匀格子Boltzmann方法  

A non-uniform lattice Boltzmann method with nested boundaries

作　　者：王广超[1] 施保昌[1] 邓滨[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《水动力学研究与进展（A辑）》2004年第1期19-25,共7页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金资助项目(60073044);国家重大基础研究规划资助项目(G1999022207)

摘　　要：　基于区域分裂技术与非平衡态外推技巧,设计了一种嵌套边界的非均匀网格算法。该算法的基本思想是:将流体流动区域分解成若干个边界相互嵌套的子区域,在每个子区域内部的分布函数使用均匀网格的格子Boltzmann方法求解,区域边界的分布函数通过粗细网格转换与非平衡态外推获得。使用该方法对二维顶盖驱动方腔流动问题进行数值模拟,计算结果与其他方法的结果相吻合,表明该方法可行的、有效的,并且在高雷诺数(Re)下有较好的稳定性。A non-uniform lattice Boltzmann method is presented based on domain decomposition technique and non-equilibrium extrapolation scheme. The basic idea of the method is to divide the flow domain into some regular sub-dmains with nested boundaries, and the distribution function can be computed by uniform lattice Boltzmann method within sub-domains and by non-equilibrium extrapolation scheme on the boundaries. The lid driven cavity flow is selected for the numerical simulation. The close agreement with other simulations shows that the present method is feasible, effective and has a good stability at high Reynolds numbers.

关 键 词：流体力学 格子BOLTZMANN方法 嵌套边界 非均匀网格 非平衡态外推 区域分裂 方腔流 雷诺数 

分 类 号：O35[理学—流体力学]