23rd International Meshing Roundtable
Department of Mechanical Engineering, Stanford University, CA 94305 USA
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.
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