An efficient geometrical model for meshing applications in heterogeneous environments

Abstract

This paper introduces a new neutral hybrid discrete (in the limit continuous) solid CAD model for meshing applications within the Integrated Computational Environments, based on subdivision surfaces. The model uses the Boundary Representation for the CAD model topology and the Butterfly Interpolating subdivision scheme for definition of underlying curves and surfaces. It is automatically derived from the original solid model, based on parametric surfaces, using a fast loop-traversal approach for identification of geometrical discontinuities. A curvature-based sizing function is introduced for generation of an optimal control mesh for subdivision surfaces. A new hybrid CAD model has significantly fewer faces, uses robust discrete structure, which simplifies computational meshing and geometrical model transfer within the heterogeneous components of computational environments.