Rappaz, JacquesPain, Sonia2006-03-132006-03-13200610.5075/epfl-thesis-3497https://infoscience.epfl.ch/handle/20.500.14299/228799urn:nbn:ch:bel-epfl-thesis3497-3This work aims to investigate, by means of numerical simulation, the evolution of free surface flow in aluminium production cells, and especially the magnetohydrodynamic instabilities. We design a numerical method combining a level-set technique together with a finite element discretization, in order to solve the non-stationnary Navier-Stokes equations and the equation for the motion of the free surface. Our numerical experiments confirms results obtained by other authors and we study the evolution of instabilities calculated by a stationary program, ALUCELL.frmagnetohydrodynamicsinstabilitiesaluminium productionnumerical simulationlevel-set methodALESUPG methodfree surface flowmagnétohydrodynamiqueinstabilitésproduction de l'aluminiuminterface libresimulation numériqueALEméthode SUPGlevel-setthesis::doctoral thesis