Discretización de superficies mútiplemente conexas mediante submapping

Author (s): Ruiz-Gironés, E. y Sarrate, J.
Journal: Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería

Volume: 24, Issue 2
Pages: 163 – 181
Date: 2008

Abstract:
The submapping method is one of the most used techniques to generate structured quadrilateral meshes.

This method splits the geometry into pieces logically equivalent to a quadrilateral. Then, it meshes each piece keeping the mesh compatibility by solving an integer linear problem. The submapping algorithm has two main limitations. First, the method can only be applied to geometries that the angle between edges is, approximately, an integer multiple of ?=2. Second, the geometry must be simply connected. This article presents two original modi?cations to mitigate these limitations. Finally, it presents several numerical examples that show the applicability of the developed algorithms.

Keywords: Finite elements method, mesh generation, submapping, structured quadrilate- rals, linear programming, trans?nite interpolation, multiply connected geometries.

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Bibtex:

@article{ ,
  Author   = {Ruiz-Gironés, E. y Sarrate, J., },
  Title    = {Discretización de superficies mútiplemente conexas mediante submapping},
  Fjournal = {Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería},
  Journal  = {0213-1315},
  Volume   = {24},
  Number   = {2},
  Pages    = {163–181},
  Year     = {2008},
  Doi      = {10.1002/nme.2380},
  }