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Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 8, Pages 1506–1528 (Mi zvmmf618)  

Improved algorithm for unstructured quadrilateral meshing

A. V. Skovpen'

Russian Federal Nuclear Center E. I. Zababakhin All-Russian Scientific Research Institute of Technical Physics

Abstract: A two-dimensional algorithm and a software code for unstructured quadrilateral meshing were developed. The algorithm is based on the Q-Morph algorithm proposed by S. Owen in 1998 and is classified as an indirect advancing front method for quadrilateral unstructured mesh generation. The meshing procedure involves a preliminary triangulation of the underlying domain followed by the transformation of the resulting triangles into quadrilateral cells. The input data are the coordinates of the boundary nodes. The algorithm performs automatically and does not modify the boundary nodes. The resulting mesh is all-quadrilateral if the boundary of the domain consists of an even number of edges. If the number of edges is odd, a triangular cell appears in the mesh. The code based on the algorithm can be exploited as an independent mesh-generating module.

Key words: unstructured quadrilateral mesh, advancing front, transformation of triangles, smoothing, topological cleanup.

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English version:
Computational Mathematics and Mathematical Physics, 2005, 45:8, 1455–1476

Bibliographic databases:
UDC: 519.63
Received: 11.11.2004

Citation: A. V. Skovpen', “Improved algorithm for unstructured quadrilateral meshing”, Zh. Vychisl. Mat. Mat. Fiz., 45:8 (2005), 1506–1528; Comput. Math. Math. Phys., 45:8 (2005), 1455–1476

Citation in format AMSBIB
\Bibitem{Sko05}
\by A.~V.~Skovpen'
\paper Improved algorithm for unstructured quadrilateral meshing
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 8
\pages 1506--1528
\mathnet{http://mi.mathnet.ru/zvmmf618}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2191860}
\zmath{https://zbmath.org/?q=an:1087.65112}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 8
\pages 1455--1476


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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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