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Development of Unstructured Curved Meshes with G 1 Surface Continuity for High-Order Finite Element Simulations

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 106))

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Abstract

This paper presents a curved meshing technique for unstructured tetrahedral meshes where G 1 surface continuity is maintained for the triangular element faces representing the curved domain surfaces. A bottom-up curving approach is used to support geometric models with multiple surface patches where either C 0 or G 1 geometry continuity between patches is desired. Specific parametrization approaches based on Bézier forms and blending functions are used to define the mapping for curved element faces and volumes between parametric and physical coordinate systems. A preliminary result demonstrates that using G 1-continuity meshes can improve the solution results obtained.

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Authors and Affiliations

  1. Scientific Computation Research Center, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY, USA

    Qiukai Lu & Mark S. Shephard

Authors
  1. Qiukai Lu
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  2. Mark S. Shephard
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Correspondence to Qiukai Lu .

Editor information

Editors and Affiliations

  1. School of Computing , University of Utah, Salt Lake City, Utah, USA

    Robert M. Kirby

  2. School of Computing, University of Utah, Salt Lake City, Utah, USA

    Martin Berzins

  3. EPFL-SB-MATHICSE-MCSS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Jan S. Hesthaven

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Lu, Q., Shephard, M.S. (2015). Development of Unstructured Curved Meshes with G 1 Surface Continuity for High-Order Finite Element Simulations. In: Kirby, R., Berzins, M., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-19800-2_30

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