Open Access

ARTICLE

The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations

H. Lin, S.N. Atluri¹

1 Center for Aerospace Research and Education, 7704 Boelter Hall, University of California, Los Angeles, CA 90095-1600

Computer Modeling in Engineering & Sciences 2001, 2(2), 117-142. https://doi.org/10.3970/cmes.2001.002.117

Abstract

The truly Meshless Local Petrov-Galerkin (MLPG) method is extended to solve the incompressible Navier-Stokes equations. The local weak form is modified in a very careful way so as to ovecome the so-called Babus^~ka-Brezzi conditions. In addition, The upwinding scheme as developed in Lin and Atluri (2000a) and Lin and Atluri (2000b) is used to stabilize the convection operator in the streamline direction. Numerical results for benchmark problems show that the MLPG method is very promising to solve the convection dominated fluid mechanics problems.

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Keywords

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