Numerical simulation of a thermo-electromagneto-hydrodynamic problem in an induction heating furnace

Authors:
A. Bermúdez;D. Gómez;M. C. Muòiz;P. Salgado;R. Vázquez
Affiliations:
Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain;Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain;Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain;Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain;Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Venue:
Applied Numerical Mathematics
Year:
2009

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Abstract

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.