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Mesh Movement and Metamorphosis

Baker, Timothy J.

Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.387-396, October 7-10 2001


10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001

Mechanical and Aerospace Engineering Department
E-Quad, Princeton University Princeton,
NJ 08540, USA

Mesh coarsening and mesh enrichment are combined with an r-refinement scheme to produce a flexible approach for mesh adaptation of time evolving domains. The robustness of this method depends heavily on maintaining mesh quality during each adaptation cycle. This in turn is influenced by the ability to identify and remove badly shaped elements after the r-refinement stage. Measures of both element quality and element deformation can be defined in terms of unitarily invariant matrix norms. The construction of these element deformation and quality measures is described, and details are provided of the three stages of the adaptation cycle.

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