INTRINSIC INSTABILITY OF THE LATTICE BGK MODEL

作     者：熊鳌魁 

作者机构：State Key Laboratory for Studies of Turbulence and Complex Systems Peking UniversityBeijing China 100871 China Institute of Transportation Wuhan University of Technology Wuhan 430063 China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2002年第18卷第6期

页      面：603-607页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：lattice Boltzmann method BGK model stability analysis 

摘      要：Based on the stability analysis with no linearization and expansion, it is argued that instability in the lattice BGK model is originated from the linear relaxation hypothesis of collision in the model. The hypothesis stands up only when the deviation from the local equilibrium is weak. In this case the computation is absolutely stable for real fluids. But for flows of high Reynolds number, this hypothesis is violated and then instability takes place physically. By performing a transformation a quantified stability criteria is put forward without those approximation. From the criteria a sufficient condition for stability can be obtained and serve as an estimation of the limited Reynolds number as high as possible.