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A mesh evolution algorithm based on the level set method for geometry and topology optimization

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Abstract

We propose an approach for structural optimization which combines the flexibility of the level set method for handling large deformations and topology changes with the accurate description of the geometry provided by an exact mesh of the shape. The key ingredients of our method are efficient algorithms for (i) moving a level set function on an unstructured mesh, (ii) remeshing the surface corresponding to the zero level set and (iii) simultaneously adaptating the volumic mesh which fits to this surfacic mesh.

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Acknowledgments

This work has been supported by the RODIN project (FUI AAP 13). G. A. is a member of the DEFI project at INRIA Saclay Ile-de-France.

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Authors and Affiliations

  1. Centre de Mathématiques Appliquées (UMR 7641), École Polytechnique, 91128, Palaiseau, France

    Grégoire Allaire

  2. UMR 7598, Laboratoire J.-L. Lions, UPMC Univ Paris 06, 75005, Paris, France

    Charles Dapogny & Pascal Frey

  3. Renault DREAM-DELT’A, Guyancourt, France

    Charles Dapogny

Authors
  1. Grégoire Allaire
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  2. Charles Dapogny
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  3. Pascal Frey
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Correspondence to Grégoire Allaire.

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Allaire, G., Dapogny, C. & Frey, P. A mesh evolution algorithm based on the level set method for geometry and topology optimization. Struct Multidisc Optim 48, 711–715 (2013). https://doi.org/10.1007/s00158-013-0929-2

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  • DOI: https://doi.org/10.1007/s00158-013-0929-2

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