Understanding and predicting plasma turbulence in the scrape-off layer of a magnetic
confinement fusion device is a key open problem in modern plasma physics. The transitional …

In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous,
varying direction, strong magnetic field. Whenever the magnetic field has constant intensity …

The first continuum gyrokinetic calculations of electrostatic ion scale turbulence are
presented for the case of a diverted tokamak geometry. The simulation model solves the …

In this paper we address the computational aspects of uniformly accurate numerical
methods for solving highly oscillatory evolution equations. In particular, we introduce an …

This work is devoted to the study of field-aligned interpolation in semi-Lagrangian codes. In
the context of numerical simulations of magnetic fusion devices, this approach is motivated …

The equivalence between semi-Lagrangian and Lagrange–Galerkin schemes has been
proved by R. Ferretti [J. Comp. Math. 28 (2010), no. 4, 461–473],[Numerische Mathematik …

We propose a novel approach to study the quadratic stability of 2D flux limiters for non
expansive transport equations. The theory is developed for the constant coefficient case on …

In this work, the flux-coordinate independent (FCI) approach to plasma turbulence
simulations is formulated for the case of generic, static magnetic fields, including those …

Nous nous intéressons à la résolution théorique et numérique d'un système de loisde
conservation d'inconnue w. Pour résoudre numériquement cette équation, nous utilisons un …

The gyro-kinetic model is an approximation of the Vlasov-Maxwell system in a strongly
magnetized magnetic field. We propose a new algorithm for solving it combining the Semi …