Entropy and weak solutions in the lattice Bhatnagar-Gross-Krook model  

作　　者：冉政 许宇鹏 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University

出　　处：《Chinese Physics B》2011年第11期371-375,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.90816013 and 10572083)

摘　　要：We derive the entropy functions whose local equilibria are suitable to recover the Euler-like equations in the framework of the lattice Boltzmann method. Numerical examples are also given, which are consistent with the above theoretical arguments. In all cases, we observe a negative entropy range existing near the shock, while numerical oscillations are captured.We derive the entropy functions whose local equilibria are suitable to recover the Euler-like equations in the framework of the lattice Boltzmann method. Numerical examples are also given, which are consistent with the above theoretical arguments. In all cases, we observe a negative entropy range existing near the shock, while numerical oscillations are captured.

关 键 词：lattice Boltzmann method ENTROPY weak solution 

分 类 号：O35[理学—流体力学] O414.11[理学—力学]