摘要
用无网格局部Petrov-Galerkin法求解对流占优的定常对流扩散方程将出现数值伪震荡.将Stream-line Upwind Petrov-Galerkin Method和Galerkin Least-Squares Method中的稳定化思想引入无网格局部Petrov-Galerkin法,构造了两种非标准无网格局部Petrov-Galerkin法,均能很好的消除对流占优时的数值伪震荡.数值算例显示了方法的可行性和有效性.
Numerical solutions to the stationary convection diffusion problems with dominant convective term by the meshless local Petrov-Galerkin method are corrupted by spurious oscillations.In this paper,based on the ideas of the Streamline Upwind Petrov-Galerkin method and the Galerkin Least-Squares method,two nonstandard meshless local Petrov-Galerkin methods are developed to solve the stationary convection diffusion problems with dominant convective term in two dimensions.The two methods avoid the numerical spurious oscillations when the convective term is dominant.Numerical examples are presented to illustrate feasibility and efficiency of the two methods.
出处
《河北北方学院学报（自然科学版）》
2010年第6期20-23,共4页
Journal of Hebei North University:Natural Science Edition
