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中文摘要：
近年来,LBM取得了长足的进展,理论和应用方面都有了新的突破,各种新的模型和边界处理方法不断被提出。在这些边界处理方法基础上,本文提出了一种新的边界处理方法,该方法是用邻点和次邻点的宏观值二阶插值得到边界上的宏观值,再用邻点的分布函数的非平衡部分来外推得到边界处的分布函数。此方法可用于压力边界或速度边界,具有二阶精度,采用该处理方法对Poiseuille流、Couette流和Cavity流进行了数值模拟,并与其他几种边界处理作了比较,其结果要好于其他几种边界处理。
英文摘要：
In recent years, great progresses have been obtained in LBM and there are some breakthroughs in the theory and application. Various new models and methods for boundary conditions treatment were proposed. Based on using the macro-variable of the nearest neighboring fluid node and the secondly nearest fluid node to extrapolate the boundary node with the second-order, and approximating the distribution function of the boundary node with the non-equilibrium part of the distribution function at neighboring fluid node, a new method was developed. This new method for pressure and velocity boundary conditions is second-order accuracy, and the method is used for simulating the Poiseuille and Couette flows and Cavity flows which compared with other methods for boundary condition is better than the others.
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