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

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

朱拉隆功大学机械工程系, 帕色哇 10330, 曼谷, 泰国

基金项目: 泰国研究基金(TRF)资助项目

详细信息

中图分类号: O241.82;O35
计量
- 文章访问数: 3068
- HTML全文浏览量: 146
- PDF下载量: 593
- 被引次数: 0
出版历程
- 收稿日期: 2008-05-14
- 修回日期: 2008-07-15
- 刊出日期: 2008-11-15

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

Mechanical Engineering Department, Chulalongkorn University, Patumwan, Bangkok 10330, Thailand

摘要

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．
- 流线迎风（算法） /
- 有限元法 /
- 对流-扩散问题
Abstract: 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.
- streamline upwind /
- finite element method /
- convective-diffusion problem

HTML全文

参考文献(12)

[1]	Patankar S V.Numerical Heat Transfer and Fluid Flow[M].Washington D C:Hemisphere,1890.
[2]	Brooks A N, Hughes T J R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations[J].Comput Methods Appl Mech Eng,1982,32(1/3):199-259. doi: 10.1016/0045-7825(82)90071-8
[3]	Rice J G, Schnipke R J.A monotone streamline upwind finite element method for convection-dominated flows[J].Comput Methods Appl Mech Eng,1985,48(3):313-327. doi: 10.1016/S0045-7825(85)80005-0
[4]	Hill D L, Baskharone E A.A monotone streamline upwind method for quadratic finite elements[J].International Journal for Numerical Methods in Fluid,1993,17(6):463-475. doi: 10.1002/fld.1650170603
[5]	Wansophark N, Dechaumphai P. Combined adaptive meshing technique and segregated finite element algorithm for analysis of free and forced convection heat transfer[J].Finite Elements in Analysis and Design，2004，40(5/6): 645-663. doi: 10.1016/S0168-874X(03)00101-X
[6]	Zienkiewicz O C, Liu Y C, Huang G C.Error estimates and convergence rates for various incompressible elements[J].International Journal for Numerical Methods in Engineering，1989，28:2191-2202. doi: 10.1002/nme.1620280914
[7]	Dechaumphai P. Evaluation of an adaptive unstructured remeshing technique for integrated fluid-thermal-structural analysis[J].Journal of Thermophysics and Heat Transfer，1991，5(4):599-606. doi: 10.2514/3.305
[8]	Huebner H K, Thornton E A,Byrom T G.The Finite Element Method for Engineers[M].3rd Ed. New York：John Wiley & Sons, Inc,1995.
[9]	Limtrakarn W, Dechaumphai P. Adaptive finite element method for high-speed flow-structure interaction[J].Acta Mechanica Sinica,2004,20(6):597-606. doi: 10.1007/BF02485863
[10]	Fletcher C A J.Computational Techniques for Fluid Dynamics[M]. Berlin: Springer-Verlag,1988.
[11]	Brown G M. Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit[J].AIChE Journal,1960,6:179-183. doi: 10.1002/aic.690060204
[12]	Smith R M, Hutton A G.The numerical treatment of advection: a performance comparison of current methods[J].Numerical Heat Transfer Part B,1982,5(4):439-461.