中国物理B ›› 2011, Vol. 20 ›› Issue (11): 114702-114702.doi: 10.1088/1674-1056/20/11/114702

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

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

冉政, 许宇鹏   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • 收稿日期:2011-03-24 修回日期:2011-05-18 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 90816013 and 10572083).

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

Ran Zheng(冉政)† and Xu Yu-Peng(许宇鹏)   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2011-03-24 Revised:2011-05-18 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 90816013 and 10572083).

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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.

Abstract: 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.

Key words: lattice Boltzmann method, entropy, weak solution

中图分类号:  (Lattice gas)

  • 47.11.Qr
47.10.ad (Navier-Stokes equations) 51.10.+y (Kinetic and transport theory of gases) 51.30.+i (Thermodynamic properties, equations of state)