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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| 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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| (2012-07-20) |
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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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| Subject | : | Physics/Mechanics/Mechanics of the fluids Engineering Sciences/Mechanics/Fluids mechanics |
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| hal-00719737, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00719737 | |
| oai:hal.archives-ouvertes.fr:hal-00719737 | |
| From: Wouter Bos | |
| Submitted on: Friday, 20 July 2012 16:05:36 | |
| Updated on: Friday, 20 July 2012 16:06:56 | |
