Two-fluid flow under the constraint of external magnetic field

Luca Marioni 1 Mehdi Khalloufi 1 François Bay 1 Elie Hachem 1
1 CEMEF - Centre de Mise en Forme des Matériaux
Abstract : Purpose - This paper aims to develop a robust set of advanced numerical tools to simulate multiphase flows under the superimposition of external uniform magnetic fields. Design/methodology/approach - The flow has been simulated in a fully Eulerian framework by a {\it variational multi-scale} method, which allows to take into account the small-scale turbulence without explicitly model it. The multi-fluid problem has been solved through the convectively re-initialized level-set method to robustly deal with high density and viscosity ratio between the phases and the surface tension has been modelled implicitly in the level-set framework. The interaction with the magnetic field has been modelled through the classic induction equation for 2D problems and the time step computation is based on the electromagnetic interaction to guarantee convergence of the method. Anisotropic mesh adaptation is then used to adapt the mesh to the main problem's variables and to reach good accuracy with a small number of degrees of freedom. Finally, the variational multiscale method leads to a natural stabilization of the finite elements algorithm, preventing numerical spurious oscillations in the solution of Navier-Stokes equations (fluidmechanics) and the transport equation (level-set convection). Findings - The methodology has been validated, and it is shown to produce accurate results also with a low number of degrees of freedom. The physical effect of the external magnetic field on the multiphase flow has been analysed. Originality/value - The dam-break benchmark case has been extended to include magnetically constrained flows
Keywords : FEM Multiphase flow Anisotropic mesh adaptation Level-set VMS
Type de document :
Article dans une revue
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01667674
Contributeur : Magalie Prudon <>
Soumis le : mardi 19 décembre 2017 - 15:10:05
Dernière modification le : lundi 12 novembre 2018 - 11:04:54

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ENSMP | ENSMP_CEMEF | PARISTECH | INSTITUT-TELECOM | CFL | PSL

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Luca Marioni, Mehdi Khalloufi, François Bay, Elie Hachem. Two-fluid flow under the constraint of external magnetic field. International Journal of Numerical Methods for Heat and Fluid Flow, Emerald, 2017, 27 (11), pp.2565 - 2581. ⟨10.1108/HFF-09-2016-0371⟩. ⟨hal-01667674⟩

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