求教D2Q9松弛模型中转化矩阵M推导

LHT

求教前辈们问题：请问标准D2Q9多松弛模型中的转化矩阵M是如何导出的?郭老师教材中说根据正交矩阵，现在推不出第3,5,7行系数向量，另外针对对角矩阵S的取值和另外一本书中不大一样？关于Sq和Sv,Skesai如何取值，谢谢！

luo@odu.edu

you may want to read the following paper to understand how the matrix M and the relaxation rates are derived:

P. Lallemand and L.-S. Luo.
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability.
Physical Review E 61:6546-6562 (June 2000).

LHT

luo@odu.edu 发表于 2016-2-28 01:05
you may want to read the following paper to understand how the matrix M and the relaxation rates are ...

谢谢罗老师，在拜读中，有问题再请教您。