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The Generation of Valid Curvilinear Meshes

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IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 128))

Abstract

It is now well-known that a curvilinear discretization of the geometry is most often required to benefit from the computational efficiency of high-order numerical schemes in simulations. In this article, we explain how appropriate curvilinear meshes can be generated. We pay particular attention to the problem of invalid (tangled) mesh parts created by curving the domain boundaries. An efficient technique that computes provable bounds on the element Jacobian determinant is used to characterize the mesh validity, and we describe fast and robust techniques to regularize the mesh. The methods presented in this article are thoroughly discussed in Ref. [1, 2], and implemented in the free mesh generation software Gmsh [4, 12].

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Author information

Authors and Affiliations

  1. Dept. of Electrical Engineering and Computer Science, Université de Liège, B-4000, Liège, Belgium

    C. Geuzaine & A. Johnen

  2. Institute of Mechanics, Materials and Civil Engineering (iMMC), Université catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium

    J. Lambrechts, J. -F. Remacle & T. Toulorge

  3. Fonds National de la Recherche Scientifique, B-1000, Brussels, Belgium

    J. Lambrechts & T. Toulorge

Authors
  1. C. Geuzaine
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  2. A. Johnen
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  3. J. Lambrechts
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  4. J. -F. Remacle
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  5. T. Toulorge
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Corresponding author

Correspondence to C. Geuzaine .

Editor information

Editors and Affiliations

  1. Institute of Aerodynamics and Flow Technology, German Aerospace Center (DLR), Braunschweig, Germany

    Norbert Kroll

  2. NUMECA International S.A, Brussels, Belgium

    Charles Hirsch

  3. Department of Engineering, University of Bergamo, Dalmine, Italy

    Francesco Bassi

  4. Aircraft Research Association Limited, Bedford, United Kingdom

    Craig Johnston

  5. Cenaero ASBL, Gosselies, Belgium

    Koen Hillewaert

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Geuzaine, C., Johnen, A., Lambrechts, J., Remacle, J.F., Toulorge, T. (2015). The Generation of Valid Curvilinear Meshes. In: Kroll, N., Hirsch, C., Bassi, F., Johnston, C., Hillewaert, K. (eds) IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 128. Springer, Cham. https://doi.org/10.1007/978-3-319-12886-3_2

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  • DOI: https://doi.org/10.1007/978-3-319-12886-3_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12885-6

  • Online ISBN: 978-3-319-12886-3

  • eBook Packages: EngineeringEngineering (R0)

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