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

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

2011-10-04

arxiv.org/abs/1110.0794v1

Mathematics

Numerical Analysis

8 pages; International Symposium FVCA6, Prague : Czech Republic (2011)

Scientific paper

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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