Alfredo Bermúdez de Castro y López-Varela, Mª Dolores Gómez Pedreira, María del Carmen Muñiz Castiñeira, Pilar Salgado Rodríguez, Rafael Vázquez Hernández
This paper deals with mathematical modelling and numerical simulation of induction heating furnaces with axisymmetric geometries. The mathematical model consists of a coupled thermo-electromagneto-hydrodynamic problem with phase change. For the numerical solution, we propose finite element methods combined with boundary element methods (BEM/FEM) for the electromagnetic model, and with the method of characteristics for the flow equations. Moreover, an iterative fixed point-like algorithm is established for the whole coupling. Some numerical results for an industrial furnace are shown.
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