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A PDE Based Approach to Multidomain Partitioning and Quadrilateral Meshing

Kowalski, Nicolas, Franck Ledoux, and Pascal Frey

21st International Meshing Roundtable, Springer-Verlag, pp.137-154, October 7-10 2012


21st International Meshing Roundtable
San Jose, CA
October 7-10,2012

CEA, DAM, DIF, F-91297 Arpajon, France

In this paper, we present an algorithm for partitioning any given 2d domain into regions suitable for quadrilateral meshing. It can deal with multidomain geometries with ease, and is able to preserve the symmetry of the domain. Moreover, this method keeps the number of singularities at the junctions of the regions to a minimum. Each part of the domain, being four-sided, can then be meshed using a structured method. The partitioning stage is achieved by solving a PDE constrained problem based on the geometric properties of the domain boundaries.

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