A new method for inverse electromagnetic casting problems based on the topological derivative
The inverse electromagnetic casting problem consists in looking for a suitable set of electric wires such that the electromagnetic field induced by an alternating current passing through them makes a given mass of liquid metal acquire a predefined shape. In this paper we propose a new method for the...
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| Veröffentlicht in: | Journal of computational physics 2011-05, Vol.230 (9), p.3570-3588 |
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| container_end_page | 3588 |
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| container_title | Journal of computational physics |
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| creator | Canelas, Alfredo Novotny, Antonio A. Roche, Jean R. |
| description | The inverse electromagnetic casting problem consists in looking for a suitable set of electric wires such that the electromagnetic field induced by an alternating current passing through them makes a given mass of liquid metal acquire a predefined shape. In this paper we propose a new method for the topology design of such inductors. The inverse electromagnetic casting problem is formulated as an optimization problem, and topological derivatives are considered in order to locate new wires in the right position. Several numerical examples are presented showing that the proposed technique is effective to design suitable inductors. |
| doi_str_mv | 10.1016/j.jcp.2011.01.049 |
| format | Article |
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| ispartof | Journal of computational physics, 2011-05, Vol.230 (9), p.3570-3588 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Computational techniques Derivatives Electric wire Electromagnetic casting Electromagnetic fields Exact sciences and technology Inductors Inverse Inverse problem Levitation casting Mathematical methods in physics Mathematical models Mathematics Numerical Analysis Optimization Physics Topological asymptotic analysis Topological derivatives Topology |
| title | A new method for inverse electromagnetic casting problems based on the topological derivative |
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