Abstract
Abstract A fully automatic 3D free-form mesh generation method is developed in this paper. The method is capable of meshing 3D parametric surfaces, both analytic and synthetic. Surfaces may have holes and may be composite, i.e. consisting of more than one patch. In addition to being fully automatic, the method produces quadrilateral or triangular elements with aspect ratio near one. The input to this method includes surface definition points, the element size, and mesh grading information. The method begins by calculating patch boundary curve lengths so that boundary nodes are determined. Utilizing these boundary nodes, the 3D surface patch is mapped from its Cartesian space into its parametric space where it becomes a 2D region. In this parametric region, a 2D mesh generator is utilized to mesh the region. The final mesh is transformed back to the Cartesian space via transforming the coordinates of its nodal points based upon the surface equation. The free-form generator and its related method have been tested extensively and applied to a wide number of surfaces. Sample examples are presented.
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