Stochastic level-set method for shape optimisation

Hedges, Lester O., Kim, H. Alicia ORCID: https://orcid.org/0000-0002-5629-2466 and Jack, Robert L. 2017. Stochastic level-set method for shape optimisation. Journal of Computational Physics 348 , p. 82. 10.1016/j.jcp.2017.07.010

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Abstract

We present a new method for stochastic shape optimisation of engineering structures. The method generalises an existing deterministic scheme, in which the structure is represented and evolved by a level-set method coupled with mathematical programming. The stochastic element of the algorithm is built on the methods of statistical mechanics and is designed so that the system explores a Boltzmann–Gibbs distribution of structures. In non-convex optimisation problems, the deterministic algorithm can get trapped in local optima: the stochastic generalisation enables sampling of multiple local optima, which aids the search for the globally-optimal structure. The method is demonstrated for several simple geometrical problems, and a proof-of-principle calculation is shown for a simple engineering structure.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0021-9991
Date of First Compliant Deposit:	29 November 2018
Date of Acceptance:	5 July 2017
Last Modified:	23 Nov 2022 10:41
URI:	https://orca.cardiff.ac.uk/id/eprint/117201

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