Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma Interaction in a Tokamak
نویسندگان
چکیده
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.
منابع مشابه
An optimal penalty method for a hyperbolic system modeling the edge plasma transport in a tokamak
The penalization method is used to take account of obstacles, such as the limiter, in a tokamak. Because of the magnetic confinement of the plasma in a tokamak, the transport occurs essentially in the direction parallel to the magnetic field lines. We study a 1D nonlinear hyperbolic system as a simplified model of the plasma transport in the area close to the wall. A penalization which cuts the...
متن کاملAn optimal penalty method for an hyperbolic system modeling the edge plasma transport in a tokamak
The penalization method is used to take account of obstacles, such as the limiter, in a tokamak. Because of the magnetic confinement of the plasma in a tokamak, the transport occurs essentially in the direction parallel to the magnetic field lines. We study a 1D nonlinear hyperbolic system as a simplified model of the plasma transport in the area close to the wall. A penalization which cuts the...
متن کاملInvestigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods
Fluid-structure interaction (FSI) occurs when the dynamic water hammer forces; cause vibrations in the pipe wall. FSI in pipe systems due to Poisson and junction coupling has been the center of attention in recent years. It causes fluctuations in pressure heads and vibrations in the pipe wall. The governing equations of this phenomenon include a system of first order hyperbolic partial differen...
متن کاملHigh order approximation of a tokamak edge plasma transport minimal model with Bohm boundary conditions
In the recent paper [2], a penalty method is proposed to address the so-called Bohm boundary conditions which are generally imposed to model the limiters, i.e. the walls that intercept in a tokamak the magnetic field lines. This approach is validated by considering a simple one-dimensional hyperbolic system, that constitutes a minimal transport model for ionic density and momentum. In [1] this ...
متن کاملOBSERVATION OF THE HARD DISRUPTION INSTABILITY IN THE IR-TI (IRAN-TOKAMAK 1)
In this article, some diagnostic systems and the preliminary results of the IR-T1** (Iran-Tokamak 1) are presented. Different diagnostic methods, including an array of soft X-ray detectors, visible spectrometer, electron cyclotron emission detector and electromagnetic measurement systems have been used and the hard disruptive instability occurring in the IR-T1 plasma during an ohmic heating...
متن کامل