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Communication Dans Un Congrès Année : 2011

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.
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Dates et versions

hal-00627313 , version 1 (04-10-2011)

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Philippe Angot, Thomas Auphan, Olivier Guès. Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak. International Symposium FVCA6, Jun 2011, Prague, Czech Republic. pp.31-38. ⟨hal-00627313⟩
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