High order approximation of a tokamak edge plasma transport minimal model with Bohm boundary conditions

Sebastian Minjeaud (1, 2) , Richard Pasquetti (2, 1)

1 CASTOR - Control, Analysis and Simulations for TOkamak Research
2 LJAD - Laboratoire Jean Alexandre Dieudonné

To address the so-called Bohm boundary conditions, generally imposed at the walls that intercept in a tokamak the magnetic field lines, we consider a simple one-dimensional hyperbolic system that constitutes a minimal transport model for ionic density and momentum. We show that as soon as the solution is smooth, a spectrally accurate approximation can be obtained. To this end, we describe a stabilized spectral element method (SEM) and propose a direct imposition of the Bohm boundary condition in an explicit time marching.

Domaines: Analyse numérique [math.NA]; Plasmas

Sebastian Minjeaud, Richard Pasquetti. High order approximation of a tokamak edge plasma transport minimal model with Bohm boundary conditions. Journal of Computational Physics, 2015, pp.84-87. ⟨hal-01144699⟩