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Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems

H. Lin, S.N. Atluri1
Center for Aerospace Research and Education, 7704 Boelter Hall, University of California, Los Angeles, CA 90095-1600

Computer Modeling in Engineering & Sciences 2000, 1(2), 45-60. https://doi.org/10.3970/cmes.2000.001.205

Abstract

Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion problems, in one and two dimensions. Even for very high Peclet number flows, the MLPG method, with upwinding, gives very good results. It shows that the MLPG method is very promising to solve the convection-dominated flow problems, and fluid mechanics problems.

Keywords

MLPG, MLS, convection-dominated flow, upwinding

Cite This Article

Lin, H., Atluri, S. (2000). Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems. CMES-Computer Modeling in Engineering & Sciences, 1(2), 45–60.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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