Analyse de stabilité globale en maillage curviligne pour un écoulement incompressible

Abstract

This work was to make a study of the numerical method of two dimensional mesh generation and analysis of stability in incompressible flow. The principle of the method is exposed, as well as the different techniques used. Among these techniques we have chosen the elliptical model (Poisson equation) which is based on the resolution of the partial differential equations. Mesh generation method is then applied to an external flow incompressible thus the analysis of stability of numerical schemes SOR. To perform the mesh generation and solving the equations of the studied physical problem, we developed two codes of computing (GRID and FLOW) in C++ At last, confrontations with published results in literature have permitted to validate the obtained results. Keywords: Numerical methods - Grid generation -Finite differences method - Aerodynamics - Incompressible potential flow