MESHLESS LOCAL PETROV GALERKIN METHOD PENALTY FUNCTION FORMULATION WITH UNITY TEST FUNCTION

The meshless local Petrov-Galerkin (MLPG) method with unity as the test function has been applied to the Navier-Stokes equations for laminar flows. The penalty function formulation has been employed to eliminate the pressure from the governing equations. Different two-dimensional benchmark examples have been solved using the proposed method and the results are compared with the available analytical solutions and the numerical results obtained by other numerical methods.

کلیدواژه ها:

meshless ، Petrov-Galerkin ، control volume ، N-S equations ، penalty factor