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

Abstract : 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.
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  • HAL Id : hal-01144699, version 1

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

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