论文信息 - A Concise Representation of Geometry Suitable for Mesh Generation

A Concise Representation of Geometry Suitable for Mesh Generation

We describe a new geometric representation scheme suitable for finite element mesh generation. The representation is by boundaries (i.e., brep) and relations between boundaries are stored as a directed acyclic graph. The geometry itself is based on NURBS curves and surfaces. The new geometry proposal has been been adopted by the CornellMississippi State joint ITR project. We describe why the geometric representation scheme is well-suited for mesh generation and engineering analysis.

Bharat K. Soni | Stephen A. Vavasis | L. Paul Chew | Sankarappan Gopalsamy | TzuYi Yu

[1] Scott A. Mitchell,et al. Quality Mesh Generation in Higher Dimensions , 2000, SIAM J. Comput..

[2] Stephen A. Vavasis,et al. Solving Polynomials with Small Leading Coefficients , 2005, SIAM J. Matrix Anal. Appl..

[3] L. Paul Chew,et al. Guaranteed-quality Delaunay meshing in 3D (short version) , 1997, SCG '97.

[4] Joaquim B. Cavalcante Neto,et al. An Algorithm for Three-Dimensional Mesh Generation for Arbitrary Regions with Cracks , 2001, Engineering with Computers.

[5] Gerald Farin,et al. NURBS: From Projective Geometry to Practical Use , 1999 .

[6] H. G. ter Morsche,et al. Book review: From projective geometry to practical use , 2001 .

[7] L. Paul Chew,et al. Guaranteed-quality mesh generation for curved surfaces , 1993, SCG '93.