A comparison of several numerical methods for the solution of the Convection-Diffusion Equation using the method of finite spheres

被引：0
|
作者：
Ali Aslam
Suvranu De
机构：
[1] Rensselaer Polytechnic Institute,Scientific Computation Research Center
来源：
Computational Mechanics | 2005年 / 36卷
关键词：
Convection-diffusion equation; Higher order derivative artificial diffusion method; Inf-sup test; Least-squares; Meshfree method; Method of Finite Spheres; Upwinding;
D O I：
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学科分类号：
摘要：
In this paper we compare several numerical methods for the solution of the convection-diffusion equation using the method of finite spheres; a truly meshfree numerical technique for the solution of boundary value problems. By conducting numerical inf-sup tests on a one-dimensional model problem it is found that a higher order derivative artificial diffusion (Ho DAD) method performs the best among the schemes tested. This method is then applied to the analysis of problems in two-dimensions.
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页码：398 / 407
页数：9
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