A NONITERATIVE SCHEME FOR ORTHOGONAL GRID GENERATION WITH CONTROL FUNCTION AND SPECIFIED BOUNDARY CORRESPONDENCE ON 3 SIDES

A new numerical scheme is proposed for generating an orthogonal grid i n a simply-connected 2D domain. The scheme is based on the idea of dec omposition of a global orthogonal transform into consecutive mappings of a conformal mapping and an auxiliary orthogonal mapping, which was suggested by Kang and Leal (J. Comput. Phys. 102, 78 (1992)). The meth od is non-iterative and flexible in the adjustment of grid spacing. Th e grid spacing can be controlled mainly by specification of the bounda ry correspondence up to three sides of the boundary. The method is als o equipped with a control function that provides further degrees of fr eedom in the grid spacing adjustment. From a mathematical viewpoint, t he proposed scheme can also be regarded as a numerical implementation of the constructive proof for the existence of a solution of the ortho gonal mapping problem in an arbitrary simply-connected domain under th e condition thal the boundary correspondence is specified on three sid es. (C) 1994 Academic Press, Inc.