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Penalization modeling of a limiter in the Tokamak edge plasma

Penalization modeling of a limiter in the Tokamak edge plasma,10.1016/j.jcp.2009.11.031,Journal of Computational Physics,L. Isoardi,G. Chiavassa,G. Ci

Penalization modeling of a limiter in the Tokamak edge plasma   (Citations: 3)
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An original penalization method is applied to model the interaction of magnetically confined plasma with limiter in the frame of a minimal transport model for ionic density and parallel momentum. The limiter is considered as a pure particle sink for the plasma and consequently the density and the momentum are enforced to be zero inside. Comparisons of the numerical results with one-dimensional analytical solutions show a very good agreement. In particular, the penalization scheme followed in this paper tends to ensure an almost sonic plasma condition at the plasma-obstacle interface, Bohm-like criterion, with relatively weak dependence on the target Mach number profile within the obstacle. The new system being solved in a periodic obstacle free domain, an efficient pseudo-spectral algorithm based on a Fast Fourier transform is also proposed, and associated with an exponential filtering of the unphysical oscillations due to Gibbs phenomenon. Finally, the efficiency of the method is illustrated by investigating the flow spreading from the plasma core to the Scrape-Off Layer at the wall in a two-dimensional system with one, then two neighboring limiters.
Journal: Journal of Computational Physics - J COMPUT PHYS , vol. 229, no. 6, pp. 2220-2235, 2010
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    • ...introduced by Isoardi et al. [9], we modify the boundary conditions to ensure the well-posedness of the hyperbolic system and we propose another penalty method which seems to be free of boundary layer...
    • ...In this paper, we consider a very simple model taking only into account the transport in the direction parallel to the magnetic field lines, (see for example [9, 13])...
    • ...These are exactly the boundary conditions which are chosen in [9]...
    • ...3, we slightly modify the boundary conditions of the paper [9], and impose M D 1 � � on x D L and M D� 1 C � on x D� L with afi xed �> 0, which leads to a well-posed hyperbolic problem...
    • ...The following penalty approach has been proposed by Isoardi et al. [9]...
    • ...Fig. 2 M versus x with � D 10 � 3 ,a mesh ofJ D 1280 cells using the penalization of Isoardi et al. [9]...

    Philippe Angotet al. Penalty Methods for the Hyperbolic System Modelling the Wall-Plasma In...

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