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  

Streamline Upwind Finite Element Method Using 6-Node Triangular Element With Adaptive Remeshing Technique for Convective-Diffusion Problems

作　　者：N·瓦逊哈克 P·德乔姆凡 黄锋(译) 张禄坤(校) 

机构地区：[1]朱拉隆功大学机械工程系,帕色哇10330,曼谷,泰国 [2]不详

出　　处：《应用数学和力学》2008年第11期1303-1313,共11页Applied Mathematics and Mechanics

基　　金：泰国研究基金(TRF)资助项目

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.A streamline upwind finite element method using the 6-node triangular element is presented. The method was applied to the convection term of the governing transport equation directly along local streamlines. Several convective-diffusion examples were used to evaluate the 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 the solution accuracy, and at the same time, to minimize the computational time and computer memory requirement.

关 键 词：流线迎风(算法) 有限元法 对流-扩散问题 

分 类 号：O241.82[理学—计算数学] O35[理学—数学]