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A Hybrid, Variational 3D Smoother For Orphaned Shell Meshes

Mukherjee, Nilanjan

Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.379-390, September 15-18 2002


11th International Meshing Roundtable
Ithaca, New York, USA.
September 15-18 2002

Meshing & Abstraction Group,
Digital Simulation
EDS PLM Solutions
2000 Eastman Dr, Milford Ohio 45150, U.S.A.

In the present paper, a hybrid , variational, user-controlled, 3D mesh smoothing algorithm is proposed for orphaned shell meshes. The smoothing model is based on a variational combination of energy and equi-potential minimization theories. A variety of smoothing techniques for predicting a new location for the node-to-smooth are employed. Each node is moved according to a specific smoothing algorithm so as to keep element included angles, skew and distortion to a minimum. The variational smoother selection logic is based on nodal valency and element connectivity pattern of the node to smooth. Results show its consistency with both quadrilateral and quad-dominant meshes with a significant gain over conventional Laplacian schemes in terms of mesh quality, stability, user control and flexibility.

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