
Abstract In this paper we solve a free boundary problem for a system of partial differential equations modelling the thermoelectrical behaviour of an aluminium electrolytic cell. A fixed domain method is proposed which relies upon a weak formulation of this system. A discretisation is introduced by using pentahedral finite elements of six degrees of freedom. To solve the discretised system an iterative algorithm is proposed. Numerical results are given both for a test example and a real industrial situation.
Technical applications of optics and electromagnetic theory, Multiphase and multicomponent flows, Finite element methods applied to problems in fluid mechanics
Technical applications of optics and electromagnetic theory, Multiphase and multicomponent flows, Finite element methods applied to problems in fluid mechanics
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