A mesh-free approach for the simulation of incompressible flows

Abstract

In this work, we propose to investigate numerically the incompressible flows by the Asymptotic Numerical Method (ANM) with the Moving Least Square (MLS). The mathematical formulation is based on theNavier-Stokes equations written in a strongly formulation to avoid all difficulties of the numerical integration. The used algorithm is developed to investigate the effective of the ANM with the MLS in the strongly formulation.

Keywords

• MLS
• Asymptotic Numerical Method
• Navier-Stokes equations
• incompressible flows