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| HAL : hal-00719737, version 1 |
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| Simulation of confined magnetohydrodynamic flows using a pseudo-spectral method with volume penalization |
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| Jorge Morales 1Matthieu Leroy 2 |
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| (20/07/2012) |
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| 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. |
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| 1 : | Laboratoire de Mecanique des Fluides et d'Acoustique (LMFA) |
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CNRS : UMR5509 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 2 : | Mécanique Modélisation et Procédés Propres (M2P2) |
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CNRS : UMR6181 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III – Ecole Centrale de Marseille |
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| Domaine | : | Physique/Mécanique/Mécanique des fluides Sciences de l'ingénieur/Mécanique/Mécanique des fluides |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00719737, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00719737 | |
| oai:hal.archives-ouvertes.fr:hal-00719737 | |
| Contributeur : Wouter Bos | |
| Soumis le : Vendredi 20 Juillet 2012, 16:05:36 | |
| Dernière modification le : Vendredi 20 Juillet 2012, 16:06:56 | |
