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| HAL : hal-00627313, version 1 |
| arXiv : 1110.0794 |
| Fiche détaillée |  Récupérer au format |
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| International Symposium FVCA6, Prague : Tchèque, République (2011) |
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| Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak |
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| Philippe Angot 1Thomas Auphan 1 |
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| (06/2011) |
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| The penalization method is used to take account of obstacles in a tokamak, such as the limiter. We study a non linear hyperbolic system modelling the plasma transport in the area close to the wall. A penalization which cuts the transport term of the momentum is studied. We show numerically that this penalization creates a Dirac measure at the plasma-limiter interface which prevents us from defining the transport term in the usual sense. Hence, a new penalty method is proposed for this hyperbolic system and numerical tests reveal an optimal convergence rate without any spurious boundary layer. |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Domaine | : | Mathématiques/Analyse numérique |
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| hyperbolic problem – penalization method – numerical tests |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00627313, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00627313 | |
| oai:hal.archives-ouvertes.fr:hal-00627313 | |
| Contributeur : Thomas Auphan | |
| Soumis le : Mardi 4 Octobre 2011, 10:16:53 | |
| Dernière modification le : Mardi 4 Octobre 2011, 20:54:57 | |
