Shape and topology optimal design problems in electromagnetic casting
ISSN: 0264-4401
Article publication date: 3 September 2021
Issue publication date: 1 February 2022
Abstract
Purpose
In this paper the authors review the recent numerical techniques proposed to solve the forward and inverse problems concerning the electromagnetic casting and electromagnetic levitation techniques of the metallurgical industry. In addition, the authors present a new topology optimization method to solve the inverse axisymmetric electromagnetic levitation problem.
Design/methodology/approach
The proposed method is based on an exact second-order topological expansion of a Kohn–Vogelius-like functional specially devised for this problem.
Findings
Through some examples the authors show that it can find suitable solutions efficiently.
Originality/value
The new method completes the set of efficient methods available to solve the inverse electromagnetic casting and the inverse axisymmetric electromagnetic levitation problems.
Keywords
Acknowledgements
The authors thank the Uruguayan Research Councils ANII and CSIC and the French Research Council CNRS for the financial support.
Citation
Canelas, A. and Roche, J.R. (2022), "Shape and topology optimal design problems in electromagnetic casting", Engineering Computations, Vol. 39 No. 1, pp. 147-171. https://doi.org/10.1108/EC-05-2021-0300
Publisher
:Emerald Publishing Limited
Copyright © 2021, Emerald Publishing Limited