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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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Preprints, Working Papers, ...
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https://hal.sorbonne-universite.fr/hal-00933545
Contributor : Charles Dapogny <>
Submitted on : Monday, January 20, 2014 - 4:20:24 PM
Last modification on : Thursday, March 26, 2020 - 9:14:04 PM
Long-term archiving on: : Tuesday, April 22, 2014 - 12:41:09 PM

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  • HAL Id : hal-00933545, version 1

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Grégoire Allaire, Charles Dapogny, Pascal Frey. Shape optimization with a level set based mesh evolution method. 2014. ⟨hal-00933545v1⟩

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