Alternative Methods for Generating Elliptic Grids in Finite Volume Applications

Abstract

Among the elliptic grid generation (EGG) methods, the most well known and widely used are the algebraic transfinite interpolation and differential methods which employ Poisson equations. In this chapter classical EGG methods are reviewed. It is then proposed that these methods can be classified based on the parameters being interpolated (i.e. interpolants), the interpolation method used and the grid generation equations being employed. The proposed unified view provides a framework for the development of new grid generation methods; some of which are introduced here for the first time.