Shape optimization with a level set based mesh evolution method

Abstract : In this article, we discuss an approach for geometry and topology optimization of structures which benefits from an accurate description of shapes at each stage of the iterative process - by means of a mesh amenable for mechanical analyses - while retaining the whole versatility of the level set method when it comes to accounting for their evolution. The key ingredients of this method are two operators for switching from a meshed representation of a domain to an implicit one, and conversely; this notably brings into play an algorithm for generating the signed distance function to an arbitrary discrete domain, and a mesh generation algorithm for implicitly-defined geometries.
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Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, pp.doi:10.1016/j.cma.2014.08.028
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  • HAL Id : hal-00933545, version 2

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Grégoire Allaire, Charles Dapogny, Pascal Frey. Shape optimization with a level set based mesh evolution method. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2014, pp.doi:10.1016/j.cma.2014.08.028. 〈hal-00933545v2〉

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