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在简单声速可调模型的基础上，通过在演化方程中引入一个粒子吸引项，建立了高Ｍａｃｈ数格子Ｂｏｌｔｚｍａｎｎ模型．利用Ｃｈａｐｍａｎ－Ｅｎｓｋｏｇ渐进展开法推导相应的宏观流体力学方程．模拟结果表明，该模型可降低声速，将Ｍａｃｈ数提高到５以上，且与理论值吻合．
Based on the simple model of the sound velocity, a high-Mach lattice Lattice Boltzmann model is established by introducing a particle attractor into the evolution equation. The corresponding macroscopic hydrodynamic equations are derived by using the Chapman-Enskog evolutionary method. The simulation results show that the model can reduce the speed of sound and increase the Mach number to above 5, which is consistent with the theoretical value.