Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a TokamakReport as inadecuate




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1 LATP - Laboratoire d-Analyse, Topologie, Probabilités

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.

Keywords : hyperbolic problem penalization method numerical tests





Author: Philippe Angot - Thomas Auphan - Olivier Guès -

Source: https://hal.archives-ouvertes.fr/



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