~ka-Brezzi conditions, upwinding scheme, incompressible flow, Navier-Stokes equations." />
Vol.2, No.2, 2001, pp.117-142, doi:10.3970/cmes.2001.002.117
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ARTICLE
The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations
  • H. Lin, S.N. Atluri1
Center for Aerospace Research and Education, 7704 Boelter Hall, University of California, Los Angeles, CA 90095-1600
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.
Keywords
MLPG, MLS, Babus~ka-Brezzi conditions, upwinding scheme, incompressible flow, Navier-Stokes equations.
Cite This Article
Lin, H., Atluri, S. (2001). The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations. CMES-Computer Modeling in Engineering & Sciences, 2(2), 117–142.
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