Computational Mechanics

, Volume 36, Issue 5, pp 398–407 | Cite as

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

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Abstract

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.

Keywords

Convection-diffusion equation Higher order derivative artificial diffusion method Inf-sup test Least-squares Meshfree method Method of Finite Spheres Upwinding 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Scientific Computation Research CenterRensselaer Polytechnic InstituteTroyUSA

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