Journal of South China University of Technology (Natural Science Edition) ›› 2009, Vol. 37 ›› Issue (11): 151-156.

• Mechanical Engineering • Previous Articles    

Analysis of Factors Influencing the Solving of Convection-Dominated Problems by Means of Upwinding LRPIM

Zhang Zu-jun  Ruan Feng  Liu Yi  Liu Cheng-jun   

  1. School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510640, Guangdong, China
  • Received:2008-11-25 Revised:2009-03-26 Online:2009-11-25 Published:2009-11-25
  • Contact: 张祖军（1980-），男，博士生，主要从事模塑成型及其计算机技术研究． E-mail:xz800110@yahoo．cn
  • About author:张祖军（1980-），男，博士生，主要从事模塑成型及其计算机技术研究．
  • Supported by:

    广东省教育部产学研结合项目（2007A090302028）

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Abstract:

In order to improve the numerical stability during the solving of convection-dominated convection-diffusion problems, an upwinding local radial point interpolation method （ULRPIM） is proposed based on the local radial point interpolation method （LRPIM） and the local upwinding weight function. The proposed method is then compared with the LRPIM through some numerical calculations, finding that ULRPIM achieves better results. Mo- reover, the influences of different parameters on the stability of calculation results are investigated by comparing the relative errors of ULRPIM results at different parameters. It is found that the offset of weight function should change with the Peclet number, and that both the parameter q of radial basis functions （RBF） and the size of the support domain have a greater influence on the calculation results than the RBF parameter ac and the quantity of Gauss integral points.

Key words: convection domination, upwinding, local radial point interpolation method, stability