Mesh Generation Methods Over Plane and Curved Surfaces

In this paper, a set of mesh generation methods over plane and curved surfaces is presented. The surfaces can be plane, just defined by their boundary (as cylinders or cones), quadrics, surfaces of revolution or a combination of these by means of a multiblock definition. The basic method for plane surfaces and those defined by their boundary is based on a advancing front / algebraic combined technique for two dimensions. Quadrics and surfaces of revolution are transformed from the real space into a parametric plane, in which the previous basic method can be applied and, later, the inverse transformation is done to obtain the final mesh.