
DelaunayBased Anisotropic Mesh Adaptation
Pagnutti, Doug and Carl OllivierGooch
Proceedings, 17th International Meshing Roundtable, SpringerVerlag, pp.141158, October 1215 2008

IMR PROCEEDINGS

17th International Meshing Roundtable
Pittsburgh, Pennsylvania, U.S.A.
October 1215, 2008
Advanced Numerical Simulation Laboratory
The University of British Columbia
Abstract
Science and engineering applications often have anisotropic physics and
therefore require anisotropic mesh adaptation. In common with previous researchers on
this topic, we use metrics to specify the desired mesh. Where previous approaches are
typically heuristic and sometimes require expensive optimization steps, our approach
is an extension of isotropic Delaunay meshing methods and requires only occasional,
relatively inexpensive optimization operations. We use a discrete metric formulation,
with the metric defined at vertices. To map a local submesh to the metric space, we
compute metric lengths for edges, and use those lengths to construct a triangulation
in the metric space. Based on the metric edge lengths, we define a quality measure
in the metric space similar to the wellknown shortestedge to circumradius ratio for
isotropic meshes. We extend the common mesh swapping, Delaunay insertion, and
vertex removal primitives for use in the metric space. We give examples demonstrating
our schemeĆs ability to produce a mesh consistent with a discontinuous, anisotropic
mesh metric and the use of our scheme in solution adaptive refinement.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article
