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用格子Boltzmann方法模拟正弦曲线底边方腔内流动

刘玉龙, 施卫平, 丁丽霞   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2008-01-03 修回日期:1900-01-01 出版日期:2008-11-26 发布日期:2008-11-26
  • 通讯作者: 施卫平

Simulation of Flow in a Cavity with Sinusoidal Wavy Bottomby Lattice Boltzmann Method

LIU Yulong, SHI Weiping, DING Lixia   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-01-03 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
  • Contact: SHI Weiping

摘要: 采用格子Boltzmann方法数值模拟正弦曲线底边方腔内 流动, 分析了格子Boltzmann方法处理曲线边界的特性. 在曲线边界的处理中采用二阶精度的曲线边界处理方法, 将反弹格式和内插法相结合, 计算方法可靠、 准确且易于执行. 计算了流线图、 等涡线图和涡心位置, 并分析了流场随Re数的变化.

关键词: 格子Boltzmann方法, 曲线边界, 方腔流

Abstract: The flow in a cavity with a sinusoidal wavy bottom was simulated numerically by the lattice Boltzmann method. The treatment of the lattice Boltzmann method was investigated. An accurate curved boundary treatment of secondorder accuracy was used. This treatment is a combination of the bounce back scheme with interpolation, it is relatively reliable, accurate, and easy to implement. Numerical results of the streamlines, the vorticity contours and the location of the vertical center are given to analyze the variation of the flow pattern for different Reynolds numbers.

Key words: lattice Boltzmann method, curved boundary, cavity flow

中图分类号: 

  • O354