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A Mesh Morphing Techniqie for Geometrically Dissimilar Tesselated Geometry

Vurputoor, Radhika, Nilanjan Mukherjee, Jean Cabello & Michael Hancock

Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.315-334, October 14-17 2007

IMR
PROCEEDINGS

16th International Meshing Roundtable
Seattle, Washington, U.S.A.
October 14-17, 2007

Meshing & Abstraction Group, Digital Simulation Solutions UGS PLM Software SIEMENS 2000 Eastman Dr, Milford, OH 45150, USA Email:[radhika.vurputoor@siemens.com]
[mukherjee.nilanjan@siemens.com]
[jean.cabello@siemens.com]
[hancock.michael@siemens.com]

Abstract
Many industrial structural mechanics applications require topologically similar meshes on topologically similar surfaces that might differ in shape or size. Rotationally symmetric mesh models requiring cyclic symmetry boundary conditions, contact meshes that connect large structural assemblies and automotive and space panels with minor structural variations are some common challenges. The present paper discusses a generic technique that assembles several simple mapping /morphing tools to map a mesh from a source surface to a topologically similar target surface that might vary in shape or size. A loop/edge based relationship is used to define the dependency. The boundary discretization method adopted maps m nodes on a loop with n edges to a target loop with p edges. A twodimensional boundary constrained sample mesh is constructed on the related surfaces, which is efficiently used to map the mesh on the source surface to the target using linear isoparametric mapping techniques. Local distortions of the target mesh are checked for and corrected by a mesh relaxation procedure. Although the algorithm works for both parametric NURBS and discrete surfaces, the present discussion focuses on tessellated surfaces. Results include some key examples of practical interest.

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