Grid Generation Through Differential Systems

Abstract

Grid techniques based on using systems of partial differential equations to derive coordinate transformations are very popular in structured grid generation. The choice of the systems of equations relies on numerical principles and careful analysis of the required properties of the equations. They must have intrinsic abilities to cope with complex geometries and to produce grids which are locally compressed by large factors compared with uniform grids. The equations should be computationally efficient, i.e. easy to model numerically and solve. Therefore the task of formulating satisfactory grid equations is not simple.