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

Autor:	Angot, Philippe, Auphan, Thomas, Guès, Olivier
Rok vydání:	2011
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages; International Symposium FVCA6, Prague : Czech Republic (2011)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.0794 Zobrazit plný text záznamu View this record from Arxiv