Electromagnetic Casting Inverse Problem, in "EngOpt 2008

The aim of this paper is to solve an inverse problem concerning electromagnetic casting of molten metals. We are interested in locating suitable inductors around a molten metal so that its equilibrium shape be as near as possible to a desired one. In this paper we derive an algorithm using Simultaneous Analysis and Design (SAND), this mathematical programming method is stated for the inverse problem. The resulting optimization problem is solved with FAIPA, a feasible directions interior point algorithm. 2. Keywords: shape optimization, inverse problem, interior point method. The industrial technique of electromagnetic casting allows contactless heating, shaping and controlling of chemical aggressive, hot melts. Applications concern electromagnetic shaping of aluminum ingots using soft-contact confinement of the liquid metal, electromagnetic shaping of components of aeronautical engines made of superalloy materials (Ni,Ti,...), control of the structure solidification, etc..