Abstract
The truly Meshless Local Petrov-Galerkin (MLPG) method is extended to solve the incompressible Navier-Stokes equations. The local weak form is modi- fied in a very careful way so as to ovecome the so-called Babuska-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. keyword: MLPG, MLS, Babuconditions, upwinding scheme, incompressible flow, Navier-Stokes equations.
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