Marching generation of smooth structured and hybrid meshes based on metric identity

Abstract

Elliptic differential equations are derived for the generation of structured meshes and difference equations for the generation of smooth hybrid meshes from metric identity. A parabolic procedure is used to march the solution of the difference equations simultaneously for both types of meshes away from surface patches meshed by quads or triangles. An aerodynamic application for the ONERA M6 wing demonstrates how the blocking at the wing tip is simplified by using both types of meshes instead of a purely structured mesh. On the other hand it is shown that a large number of points can be saved compared to a purely hybrid grid. © 2005 Springer-Verlag Berlin Heidelberg.