Application of Element Free Galerkin Method to Navier-Stokes Equation

Abstract

Element Free Galerkin Method (EFGM) is one of the effective computational methods in the mesh-free method, which does not require time-consuming mesh generation. This means that EFGM can be available for irregular nodes in the computational domain. This is the advantage of EFGM. Numerical simulation based on the incompressible Navier-Stokes equation is one of the nonlinear problem. A few approach for the analysis of nonlinear numerical simulation by EFGM applied to the Navier-Stokes flow is presented. Analysis of nonlinear problems by EFGM is important in engineering. Purpose of this study is to investigate the effectiveness of EFGM with incompatible mesh.