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具势亚声速小扰动流动的格子Boltzmann模拟

王卫明, 闫广武   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2005-06-07 修回日期:1900-01-01 出版日期:2006-05-26 发布日期:2006-05-26
  • 通讯作者: 闫广武

Lattice Boltzmann Simulation for the Small Disturbancein the Subsonicpotential Flows

WANG Wei-ming, YAN Guang-wu   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2005-06-07 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
  • Contact: YAN Guang-wu

摘要: 给出一种新的用于模拟亚声速流小扰动下的格子Boltzmann模型, 通过使用ChapmanEnskog展开和多尺度技术, 得到一系列的格子Boltzmann方程,给出了满足亚声速流小扰动线化方程的平衡态分布函数表达式. 数值结果表明, 这种方法能很好地再现经典理论结果.

关键词: 格子Boltzmann模型, 多尺度技术, 亚声速流, 小扰动, 势函数

Abstract: We proposed a new lattice Boltzmann model for the small disturbance subsonicpotential flows. Using ChapmanEnskog expansion and multiscale technique, we obtained a series of lattice Boltzmann equations and the equilibrium disturbance functions that satisfied with the small disturbance subsonic linear flows equation. The numerical simulation agreed with the classical result well.

Key words: lattice Boltzmann model, multiscale method, subsonic flow, small disturbance, potential function 

中图分类号: 

  • O354