ORTHOGONAL GRID GENERATION IN A 2D DOMAIN VIA THE BOUNDARY INTEGRAL TECHNIQUE

A new numerical scheme is proposed for the generation of an orthogonal coordinate grid in an arbitrary simply connected two-dimensional domain. The scheme is robust and non-iterative and is based on the conjunction of the familiar boundary integral technique with the covariant Laplace equation method for mapping. In the proposed scheme, two types of problems are considered: (1) Boundary correspondence is specified on two adjacent sides of the boundary, or (2) The distortion factor is specified in the product form f(ξ η) = p{cyrillic}(ξ) θ(η). © 1992 Academic Press, Inc. All rights reserved.