Generation of orthogonal and nearly orthogonal coordinates with gridcontrol near boundaries

Abstract

A NUMERICAL procedure is presented for the generation of boundary-fitted curvilinear coordinates with controllable mesh spacing and orthogonality. The technique is based on a straightforward two-step procedure involving the solution of Poisson's equation. The method is capable of generating orthogonal grids with partial control of the mesh spacing, or nearly orthogonal grids with strict control of the mesh spacing. The inhomogeneous terms in the Poisson equations are automatically adjusted during the grid generation. The technique is applicable to two-dimensional simply-connected regions typical of airfoils, cascades, diffusers, and inlets.