Adaptive mesh generation for curved domains

Authors:
Mark S. Shephard;Joseph E. Flaherty;Kenneth E. Jansen;Xiangrong Li;Xiaojuan Luo;Nicolas Chevaugeon;Jean-François Remacle;Mark W. Beall;Robert M. O'Bara
Affiliations:
Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA;Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA;Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA;Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA;Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA;Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, NY 12180, USA;U. catholique de Louvain, Louvain-la-Neuve, Belgium;Simmetrix, Inc., 10 Halfmoon Executive Park Drive, Clifton Park, NY 12065, USA;Simmetrix, Inc., 10 Halfmoon Executive Park Drive, Clifton Park, NY 12065, USA
Venue:
Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation
Year:
2005

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Abstract

This paper considers the technologies needed to support the creation of adaptively constructed meshes for general curved three-dimensional domains and outlines one set of solutions for providing them. A brief review of an effective way to integrate mesh generation/adaptation with CAD geometries is given. A set of procedures that support general h-adaptive refinement based on a mesh metric field is given. This is followed by examples that demonstrate the ability of the procedures to adaptively construct anisotropic meshes for flow problems. A procedure for the generation of strongly graded, curved meshes as needed for effective hp-adaptive simulations is also given.