TY  - EJOU
AU  - Lin, H.  
AU  - Atluri, S.N.  

TI  - The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2001
VL  - 2
IS  - 2
SN  - 1526-1506

AB  - 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<sup style="margin-left:-6px">~</sup>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.
KW  - MLPG
KW  -  MLS
KW  -  Babus<sup style="margin-left:-6px">~</sup>ka-Brezzi conditions
KW  -  upwinding scheme
KW  -  incompressible flow
KW  -  Navier-Stokes equations

DO  - 10.3970/cmes.2001.002.117