通过多尺度展开方法分析了Freed和Guo分别提出的两种多孔介质LBM模型对应的宏观方程.分析表明,两种模型均存在一定的人工多余项,相较而言Guo模型更加精确.对于稳态不可压流动来讲,两种模型基本等价.通过数值模拟证明了这一结论.%Multi-scale expansion was used to analyze the macroscopic equation of two LBM models for flow in porous media, which were introduced by Freed and Guo et. al . separately. It is shown that both the macroscopic equations of the two models involve certain artificial parts compared with governing equation of fluid flow in porous media. Moreover, Guo's model is more precise. The two models are equivalent when dealing with steady state, uncompressible flow. This is also demonstrated through numerical modeling.
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