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A mesh adaptation procedure for periodic domains

2011; Wiley; Volume: 86; Issue: 12 Linguagem: Inglês

10.1002/nme.3106

1097-0207

Cécile Dobrzynski, Maxime Melchior, Laurent Delannay, Jean‐François Remacle,

Advanced Mathematical Modeling in Engineering

Abstract In this paper, an original technique is developed in order to build adaptive meshes on periodic domains. The new approach has the important property that it is code‐reused. The procedure is used against three different algorithms, namely, MAdLib ( Int. J. Numer. Meth. Engng 2000; in press), mmg ( Proc. 17th Int. Meshing Roundtable , 2008) and the couple Yams ( Rapport Technique RT‐0252 , 2001) / Ghs3d ( Proc. 8th Int. Meshing Roundtable , 1999). None of the latter algorithms needs to be adapted before it is applied to periodic domains. Some examples of adaptation are presented based on analytical, isotropic and anisotropic mesh‐size fields. Periodicity in translation and rotation both are considered. Finally, the mesh adaptation strategy is used in order to reduce the computational cost of a prediction of strain heterogeneity throughout a periodic polycrystalline aggregate deforming by dislocation slip. Copyright © 2011 John Wiley & Sons, Ltd.