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• 数学 • 上一篇    下一篇

用Lattice Boltzmann方法计算流体对曲线边界的作用力

施卫平, 祖迎庆   

  1. 吉林大学数学学院力学与工程科学系, 长春 130012
  • 收稿日期:2004-08-18 修回日期:1900-01-01 出版日期:2005-03-26 发布日期:2005-03-26
  • 通讯作者: 施卫平

Evaluation of Fluid Acting Force on the Curve Boundaryin the Lattice Boltzmann Method

SHI Wei-ping, ZU Ying-qing   

  1. Department of Mechanics and Technology Science, College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2004-08-18 Revised:1900-01-01 Online:2005-03-26 Published:2005-03-26
  • Contact: SHI Wei-ping

摘要: 通过分析格子Boltzmann方法中边界受力的计算方法, 研究了两种用LB方法计算边界受力的方法——动量转换法和应力积分法, 其中动量转换法较为可靠、 准确, 且易于执行. 应用LB方法模拟了圆柱绕流问题, 并计算出圆柱的阻力系数. 通过模拟凹坑表面的层流流动, 发现随着Re数的增大, 凹坑表面的阻力系数逐渐接近平 板的阻力系数.

关键词: LatticeBoltzmann方法, 动量转换法, 应力积分法, 阻力系数

Abstract: Two approaches, the momentum-exchange method and the stress-integration method, for force evaluation based on the Lattice Boltzm ann equation were investigated. The momentum-exchange method is relatively reliable, accurate, and easy to implement for both two-dimensional and three-dimensional flows. The flow around a cylinder was simulated, and the drag coefficient of the cylinder was evaluated by the momentum-exchange method. The drag coefficient of a concave surface was also evaluated and compared with the theoretical drag coefficient of a plane. The numerical results are valid, and the drag coefficient of the concave surface is close to that of the plan with the increase of Re number.

Key words: Lattice Boltzmann method, momentum-exchange method, stress-integration method, drag coefficient

中图分类号: 

  • O357.1