Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (11): 1439-1450 .doi: https://doi.org/10.1007/s10483-008-1105-3

• Articles • 上一篇    下一篇

对流_扩散问题的6节点三角形单元流线迎风有限元法和自适应网格重分技术

N.瓦逊哈克,P.德乔姆凡   

  1. 朱拉隆功大学 机械工程系, 帕色哇 10330, 曼谷, 泰国
  • 收稿日期:2008-05-14 修回日期:2008-07-15 出版日期:2008-11-01 发布日期:2008-11-01
  • 通讯作者: Pramote Dechaumphai

Streamline upwind finite element method using 6-node triangular element
with adaptive remeshing technique for convective-diffusion problems

Niphon Wansophark;Pramote Dechaumphai   

  1. Mechanical Engineering Department, Chulalongkorn University, Patumwan, Bangkok 10330, Thailand
  • Received:2008-05-14 Revised:2008-07-15 Online:2008-11-01 Published:2008-11-01
  • Contact: Pramote Dechaumphai

摘要: 提出了使用6节点三角形单元的流线迎风有限元法.该方法沿局部流线,直接用于输运控制方程的对流项.采用多个对流_扩散实例来评价该方法的有效性,结果显示该方法是单调的,并且不产生任何振荡.另外,自适应网格技术和该方法相结合后,进一步提高了解的精度,又减少了计算时间和对计算机内存的需求.

关键词: 流线迎风(算法), 有限元法, 对流_扩散问题

Abstract: A streamline upwind finite element method using 6-node triangular element is presented. The method is applied to the convection term of the governing transport equation directly along local streamlines. Several convective-diffusion examples are used to evaluate efficiency of the method. Results show that the method is monotonic and does not produce any oscillation. In addition, an adaptive meshing technique is combined with the method to further increase accuracy of the solution, and at the same time, to minimize computational time and computer memory requirement.

Key words: streamline upwind, finite element method, convective-diffusion problem

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