In the present paper,the basic idea of BGK method is introduced in detail and extended in thenumerical simulation of incompressible fluid flow. First, the BGK methodis used in cavity flow, where the numerical results are compared withGhia's results. In the computation, the parameters, such as Mach number,inner freedom degree K, and the boundary conditions are selected. Thecomparison shows that the present numerical results agree to the Ghia'sresults, which have higher accuracy. At the same time, this method isapplied for simulation of backward facing step flow. The results arecompared with experimental data. The comparisons show that the BGKmethod is a powerful tool in the numerical simulation of incompressiblefluid flow. The numerical experience shows that this method is easilyparallelized, it is available to be used in unstructured grid systemand multi-dimensional problem. Therefore it is hopeful method in CFD.%简要介绍BGK方法的基本思想,数值方法及其对不可压缩流场数值计算的推广.然后详细介绍将BGK方法应用于平面方框流的结果,将其结果与Ghia的结果进行了详细的比较.本方法还用来模拟后台阶流动,所得结果与相应的实验数据进行比较.以上比较表明本方法的有效性,同时也确定在计算不可压缩流体时参数的正确选择.
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