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Simulation of confined magnetohydrodynamic flows using a pseudo-spectral method with volume penalization

Jorge Morales 1, Matthieu Leroy 2, Wouter Bos 1, Kai Schneider 2

(20/07/2012)

A volume penalization approach to simulate magnetohydrodynamic (MHD) flows in confined domains is presented. Here the incompressible visco-resistive MHD equations are solved using parallel pseudo-spectral solvers in Cartesian geometries. The volume penalization technique is an immersed boundary method which is characterized by a high flexibility for the geometry of the considered flow. In the present case, it allows to use other than periodic boundary conditions in a Fourier pseudo-spectral approach. The numerical method is validated and its convergence is assessed for two- and three-dimensional hydrodynamic (HD) and MHD flows, by comparing the numerical results with results from literature and analytical solutions. The test cases considered are two-dimensional Taylor-Couette flow, the $z$-pinch configuration, three dimensional Orszag-Tang flow, ohmic-decay in a periodic cylinder, three-dimensional Taylor-Couette flow with and without axial magnetic field and three-dimensional Hartmann-instabilities in a cylinder with an imposed helical magnetic field.

1 :	Laboratoire de Mecanique des Fluides et d'Acoustique (LMFA)
	CNRS : UMR5509 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon
2 :	Modélisation et Simulation Numérique en Mécanique et Génie des Procédés (MSNMGP)
	CNRS : UMR6181 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III

Domaine

:

Physique/Mécanique/Mécanique des fluides Sciences de l'ingénieur/Mécanique/Mécanique des fluides

hal-00719737, version 1

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Contributeur : Wouter Bos <>

Soumis le : Vendredi 20 Juillet 2012, 16:05:36

Dernière modification le : Vendredi 20 Juillet 2012, 16:06:56