Generation of structured meshes in multiply connected surfaces using submapping

Abstract

The submapping method is one of the most widely used techniques to generate structured quadrilateral meshes. This method splits the geometry into pieces logically equivalent to a quadrilateral. Then, it meshes each piece keeping the mesh compatibility between them by solving an integer linear problem. The main limitation of submapping algorithms is that it can only be applied to geometries in which the angle between two consecutive edges is, approximately, an integer multiple of p=2. In addition, special procedures are required in order to apply it to multiply connected domains. This article presents two original modifications to mitigate these shortcomings. Finally, it presents several numerical examples that show the applicability of the developed algorithms.