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TOPOLOGICAL DERIVATIVES AND A LEVEL SET APPROACH FOR AN INVERSE ELECTROMAGNETIC CASTING PROBLEM

Canelas, Alfredo; Novotny, Antonio A.; Roche, Jean R.;

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In this paper we describe a new method for the topology design of the inductors used in the electromagnetic casting technique of the metallurgical industry. The method is based on a recently proposed topology optimization formulation of the inverse electromagnetic casting problem, and uses level-sets together with first and second order topological derivatives of the objective functional, which are herein given, to efficiently find the optimal solution. Results for two numerical examples show that the technique described can be efficiently used in the design of suitable inductors.

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Palavras-chave: Inverse problem, Topological derivatives, Shape optimization, Electromagnetic casting.,

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DOI: 10.5151/meceng-wccm2012-18780

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Como citar:

Canelas, Alfredo; Novotny, Antonio A.; Roche, Jean R.; "TOPOLOGICAL DERIVATIVES AND A LEVEL SET APPROACH FOR AN INVERSE ELECTROMAGNETIC CASTING PROBLEM", p. 2262-2274 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18780

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