Numerical method for generating orthogonal curvilinear Meshes

Abstract The method is based on conformal mapping of the boundary of a closed two-dimensional region on the perimeter of a rectangular polygon in which is inscribed an orthogonal rectilinear grid. Features of the method and the associated numerical analysis are described. A numerical scheme for interpolating lines between the orthogonal curvilinear mesh lines in order to match lines to specified points on the boundary is presented. Examples of orthogonal meshes inscribed in various geometrical figures are included.