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线性定常对流占优对流扩散问题的有限体积——流线扩散有限元法
THE FINITE VOLUME METHOD COMBINED STREAMLINE-DIFFUSION F.E.M. FOR STEADY CONVECTION DOMINATED CONVECTION-DIFFUSION PROBLEMS
【摘要】 <正> 1.引 言 对流占优扩散问题的数值模拟,在科学工程计算中有着重要而广泛的应用.为有效数值求解该类问题,自20世纪80年代以来,人们开始寻求、建立有别传统计算方法的非标准数值方法.
【Abstract】 In this paper, two kinds of Finite Volume-Streamline Diffusion Finite Element methods (FV-SD) for steady convection dominated-diffusion problem are presented and the stability and error estimation for the numerical schemes considered are established in the norm stronger than L2-norm. The theocratical analysis and numerical example show that the schemes constructed in this paper are keeping the basic properties of Streamline Diffusion (SD) method and they are more economical in computing scale than SD scheme, and also, they have same accuracy as FV-Galerkin FE method and better stability than it.
【关键词】 有限体积法;
流线扩散有限元法;
定常线性对流占优扩散问题;
【Key words】 finite volume method; streamline diffusion F.E. method; steady linear convection dominated-diffusion problem;
【Key words】 finite volume method; streamline diffusion F.E. method; steady linear convection dominated-diffusion problem;
【基金】 国家自然科学基金项目(10301016).
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,2004年01期
- 【分类号】O241.82
- 【被引频次】12
- 【下载频次】233