3D-Computational Mesh Generation around a Propell by Elliptic Differential Equation Systen

Abstract

The recent rapid progress of large scale super-computers enables us to solve Euler equations and even Navier-Stokes equations numerically. Almost all methods of solution adopt finite difference calculations and, therefore, the generation technique of computational mesh largely affects the stability and convergence of the solutions. In this paper, an analytic method is applied for the generation of a 3D mesh system for Navier-Stokes equations around ATP (Propfan). One of the advantages of this method is that the mesh lines have strong differentiabilities. The differential equation used is the Poisson type, and the right hand side is called the control function because it is able to control the degree of mesh line clustering. Here, the form of the control function was contrived to cluster near the solid surfaces. By this method, several mesh lines are laid in the boundary layer above the blade surfaces.