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High Quality Bi-Linear Transfinite Meshing with Interior Point Constraints

Mukherjee, Nilanjan

Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.309-324, September 17-20 2006


15th International Meshing Roundtable
Birmingham, Alabama, U.S.A.
September 17-20, 2006

Meshing & Abstraction Group,
Digital Simulation Solutions UGS
2000 Eastman Dr, Milford, OH 45150, USA

For a variety of structural finite element analyses on automotive body panels, aerospace wings and space satellite panels, high-quality, structured quadrilateral meshing is imperative. Transfinite meshing, the technique to produce such meshes is severely infringed by the presence of surface-interior point constraints. The present paper attempts to solve the inverse problem of transfinite meshing with interior point cointraints. A modified Newton Raphson based solution is proposed to inverse solve Coons bi-linear blending equation. The Coons parametric coordinates are thus determined for a set of face-interior points from their global coordinates. The boundary of the surface is next seeded with soft-points at reflected locations and smart-discretized to result in high fidelity, high-quality transfinite meshes.

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