carrier image

Universal Meshes: Computing Tetrahedralization Conforming to Curved Surfaces

Kabaria, Hardik and Adrian J. Lew

23rd International Meshing Roundtable, Elsevier Ltd., pp.Research Note, October 12-15 2014

IMR
PROCEEDINGS

23rd International Meshing Roundtable
London, UK
October 12-15,2014

Department of Mechanical Engineering, Stanford University, CA 94305 USA
Email: hardikk@stanford.edu

Introduction
Three dimensional realistic simulation are often unsteady and include mov- ing domains. One of major challenges associated with such simulations is the robust mesh generation for the moving domain. There has been significant re- search and development in this specific field[1, 2, 3, 4]. We describe a method for generating conforming tetrahedral mesh to the given C2 continuous sur- faces in R3 immersed in a non-conforming tetrahedralization. The method consists of constructing a homeomorphic mapping from a subset of tetrahe- drons in a background mesh to the ones conforming to the immersed set of surfaces. It relies on the way we parametrize the surfaces of the immersed domains over a collection of a nearby triangular faces with their closest point projections and extension of the same map for the local perturbations of the vertices in the neighborhood these surfaces.

Download Full Paper (PDF Format)


Contact author(s) or publisher for availability and copyright information on above referenced article