格子Boltzmann方法处理复杂边界新进展

格子玻尔兹曼方法是相对较新的计算流体力学方法，具有其独特的优点，如自然并行计算以及复杂边界的处理．在日益重要的高性能计算上，将发挥越来越大的作用．在已经较为成熟的计算模型基础上，为计算复杂几何边界对流场的作用，大量学者提出了各类针对格子玻尔兹曼方法的边界处理格式．边界处理方式对计算的影响主要有三个方面：计算精度，算法稳定性以及并行性．本文简单介绍格子玻尔兹曼方法在边界处理上的一些最新进展．并通过对实际算例的计算比较各类边界处理方式的优劣．

Recent Progress on Complex Boundary Treatments for Lattice Boltzmann Method

Lattice Boltzmann Method is a relatively new method in computational fluid dynamics. It possesses some intrinsic advantages over traditional methods, for example, inherent capability for parallel computing and great convenience in treating complex boundaries. With the increase of the importance for supercomputing, lattice Boltzmann method will play a more and more important role. The calculation model has been relatively mature. Considering the effect of complex geometric boundary, a large number of scholars put forward various boundary treatment in lattice Boltzmann method. The influence of boundary treatment for computing mainly lies in three aspects: accuracy, stability and parallelism. In this paper, we will give a brief review for the recent progress of lattice Boltzmann method for treating complex boundary conditions. We make a comparison about the advantages and disadvantages of other kinds of boundary treatments, through some calculations of some typical examples.