Characteristic Tailored Finite Point Method for Convection-Dominated Convection-Diffusion-Reaction Problems

被引：0
|
作者：
Yintzer Shih
R. Bruce Kellogg
Yoyo Chang
机构：
[1] National Chung Hsing University,Department of Applied Mathematics
[2] University of South Carolina,Department of Mathematics
来源：
Journal of Scientific Computing | 2011年 / 47卷
关键词：
Characteristic; Tailored finite point; Convection-diffusion-reaction; Finite element; Boundary layer; Internal layer;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a characteristic tailored finite point method (CTFPM) for solving the convection-diffusion-reaction equation with variable coefficients. We develop an algorithm to construct a streamline-aligned grid for the CTFPM. Our numerical tests show for small diffusion coefficient the CTFPM solution resolves the internal and boundary layers regardless the mesh size, and depicts that CTFPM method with a streamline grid has excellent performance compared with the tailored finite point method and a streamline upwind finite element method when ε is small.
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页码：198 / 215
页数：17
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