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.

Keywords:

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