Numerical stability , the other issue of the lattice boltzmann method , is discussed in chapter 5 . corresponding to the uniform and shear background flow , the stability of d2q7 d2q9 and d3ql5 model is analyzed through the von neumann linear stability theory , both the conclusion about the mass distribution parameters , the wave number , the relaxation time and the uniform velocity , and the linear stability criterion n r0 . 58 are instructive to numerical simulation of flow 第五章考慮了數(shù)值方法另外一個方面的問題,在均勻流和剪切流兩種背景流場下,運用vonneumann線性分析法,針對d2q7 、 d2q9及d3q15格子模型,分析了質量分布參數(shù)、波數(shù)、松弛時間和平均流速等決定模型穩(wěn)定性的主要參數(shù)對模型穩(wěn)定性的影響,得到了對流場數(shù)值計算具有指導意義的一般性結論與線性穩(wěn)定性標準n r _ e ~ ( 0 . 58 ) 。