激波的格子玻尔兹曼方法模拟
SIMULATION OF SHOCK WAVE BY THE LATTICE-BOLTZMANN METHOD
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摘要: 格子玻尔兹曼方法已被广泛应用于模拟流体,但主要应用于模拟不可压流体。应用二维正方格阵上的3速9点模型模拟激波的传播。考察了激波关系式、激波的宽度和结构。模拟结果与由Chapman-Enskog展开导出的流体方程的解相符。这说明格子玻尔兹曼方法能够模拟可压缩流体。Abstract: The lattice-Boltzmann method has been applied to simulate fluids.The most are incompressible fluids.This method is used to simulate the transform and regular reflection of shock waves with 3 speeds and 9 sits models on the square lattice.The simulation results is consistent with the results of the fluid equations derived by the Chapman-Enskog expansion.This shows that the lattice Boltzmann method can simulate compressible fluids.