The Meshless Local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations

H. Lin, S. N. Atluri

Research output: Contribution to journal › Article › peer-review

223 Scopus citations

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 Babus̃ka-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.

Original languageEnglish
Pages (from-to)117-142
Number of pages26
JournalCMES - Computer Modeling in Engineering and Sciences
Volume2
Issue number2
StatePublished - 2001

Keywords

  • Babus̃ka-Brezzi conditions
  • Incompressible flow
  • MLPG
  • MLS
  • Navier-Stokes equations
  • Upwinding scheme

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