Adaptive mesh generation for curved domains

Shephard, MS;Flaherty, JE;Jansen, KE;Li, XG;O'Bara, RM;et.al.
(2005) Conference on Adaptive Methods for Partial Differential Equations and Large-Scale Computation (ADAPT 03) — Location: Rensselaer Polytech Inst, Troy (Ny) (2003)

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Authors
  • Shephard, MS
    Author
  • Flaherty, JE
    Author
  • Jansen, KE
    Author
  • Li, XG
    Author
  • Chevaugeon, NicolasUCLouvain
    Author
  • O'Bara, RM
    Author
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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. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
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Citations

Shephard, M., Flaherty, J., Jansen, K., Li, X., Luo, X., Chevaugeon, N., Remacle, J.-F., Beall, M., & O’Bara, R. (2005). Adaptive mesh generation for curved domains. Applied Numerical Mathematics, 52(2-3), 251-271. https://doi.org/10.1016/j.apnum.2004.08.040 (Original work published 2005)