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Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00627313
Contributor : Thomas Auphan <>
Submitted on : Tuesday, October 4, 2011 - 10:16:53 AM
Last modification on : Friday, May 31, 2019 - 11:06:03 AM
Long-term archiving on: : Tuesday, November 13, 2012 - 3:05:32 PM

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  • HAL Id : hal-00627313, version 1
  • ARXIV : 1110.0794

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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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