用格子Boltzmann方法研究波及其粘性实验

Investigations of Waves and Their Viscosity Experiments with LBM

应用单松弛的ＢＧＫ型的ＬａｔｔｉｃｅＢｏｌｔｚｍａｎｎ方程（ＬＢＥ），模拟有粘性的一维小扰动波的传播．由格子气Ｂｏｌｔｚｍａｎｎ理论出发得到的小扰动方程的理论解与直接用ＬａｔｔｉｃｅＢｏｌｔｚｍａｎｎ方法得到的数值解，在相同条件下符合的很好．并用按均方差最小原则调整松弛因子τ的方法，给出了数值实验粘性系数，验证了ＬａｔｔｉｃｅＢｏｌｔｚｍａｎｎ理论中的τ－η曲线．

Using a BGK-type Lattice Boltzmann method, this paperdeals with the problem of propagation of one dimensional small--perturbed waves. The results of LBM numerical simulations are in good agreement with those of theoretical formula derived from LBM. To check the theoretical r--V curve,the numerically experimental viscosity was calculated using the method of least squares.