Eccentric LRPIM for Convection Dominated Problems

摘要：

The purpose of this paper is mainly focused on the stability problem in the numerical analysis of the convection dominated problems. Due to the advantages of dealing with boundary conditions and introducing upwinding concept, an improved local radial point interpolation method (ELRPIM) is presented to deal with the convection dominated problems. Based on the local radial point interpolation method (LRPIM) and an eccentric test function, the ELRPIM has been proposed. Then the effect of ELRPIM is discussed through some examples in one-dimension. The results show that: both the LRPIM and ELRPIM are effective to resolve steady convection dominated problem when the Peclet number is low; along with the increase of the Peclet number, only the ELRPIM gives very good results; the optimal offset e that makes the numerical result error optimal increases with the increase of the Peclet number. It is thus concluded that the ELRPIM is very promising to solve the convection dominated problems.

关键词： eccentric convection dominated problems test function the local radial point interpolation method

作者: Zujun Zhang Feng Ruan Saijun Zhang Zhenjiao Chen

作者单位: School of Mechanical & Automotive Engineering South China University of Technology Gnangzhou 510640,Guangdong,China

会议类型: 国际会议

会议名称: 2009 International Conference on Measuring Technology and Mechatronics Automation(ICMTMA 2009)(2009年检测技术与机械自动化国际会议)

会议地点: 长沙

会议语种:英文

页码: 1170-1173

在线出版日期: 2009-04-11（万方平台首次上网日期，不代表论文的发表时间）