Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak
Résumé
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.
Domaines
Analyse numérique [math.NA]
Fichier principal
Paper_FVCA6.pdf (243.54 Ko)
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Poster_FVCA6_2011.pdf (702.21 Ko)
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Origine | Fichiers produits par l'(les) auteur(s) |
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Format | Autre |
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