Topology Optimization in Electromagnetic Casting via quadratic programming

Alfredo Canelas (1) , Jean Rodolphe Roche (2, 3)

1 UDELAR - Instituto de Transporte y Estructuras
2 CALVI - Scientific computation and visualization
3 IECN - Institut Élie Cartan de Nancy

A new optimization method is proposed for solving an inverse problem concerning the shape and topology of the inductors used in the electromagnetic casting technique of the metallur- gical industry. The method is based on an sparse convex quadratic programming version of a recently proposed topology optimization formulation of the inverse electromagnetic casting problem. Regular 0{1 solutions are found by adding to the original Kohn-Vogelius objective function an appropriate penalty term that preserves the quadratic programming structure of the problem, allowing the use of efficient interior-point algorithms. Results for some numerical examples are presented, showing that the technique proposed is e ective and can successfully nd inductors of optimal shape and topology.

Mots clés: topology optimization; quadratic programming; electromagnetic casting; inverse problem; interior-point methods

Domaines: Analyse numérique [math.NA]

Alfredo Canelas, Jean Rodolphe Roche. Topology Optimization in Electromagnetic Casting via quadratic programming. 2012. ⟨hal-00758806⟩