GENE-X: A full-f gyrokinetic turbulence code based on the flux-coordinate independent approach
D Michels, A Stegmeir, P Ulbl, D Jarema… - Computer Physics …, 2021 - Elsevier
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 …
confinement fusion device is a key open problem in modern plasma physics. The transitional …
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction
P Chartier, N Crouseilles, M Lemou, F Méhats… - SIAM Journal on …, 2020 - SIAM
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 …
varying direction, strong magnetic field. Whenever the magnetic field has constant intensity …
[HTML][HTML] Continuum gyrokinetic simulations of edge plasmas in single-null geometries
M Dorf, M Dorr - Physics of Plasmas, 2021 - pubs.aip.org
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 …
presented for the case of a diverted tokamak geometry. The simulation model solves the …
Derivative-free high-order uniformly accurate schemes for highly oscillatory systems
P Chartier, M Lemou, F Méhats… - IMA Journal of Numerical …, 2022 - academic.oup.com
In this paper we address the computational aspects of uniformly accurate numerical
methods for solving highly oscillatory evolution equations. In particular, we introduce an …
methods for solving highly oscillatory evolution equations. In particular, we introduce an …
[HTML][HTML] Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations
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 context of numerical simulations of magnetic fusion devices, this approach is motivated …
Stability of semi-Lagrangian schemes of arbitrary odd degree under constant and variable advection speed
R Ferretti, M Mehrenberger - Mathematics of Computation, 2020 - ams.org
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 …
proved by R. Ferretti [J. Comp. Math. 28 (2010), no. 4, 461–473],[Numerische Mathematik …
Quadratic stability of flux limiters
B Després - ESAIM: Mathematical Modelling and Numerical …, 2023 - esaim-m2an.org
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 …
expansive transport equations. The theory is developed for the constant coefficient case on …
Plasma turbulence simulations with X-points using the flux-coordinate independent approach
F Hariri, P Hill, M Ottaviani… - Plasma Physics and …, 2015 - iopscience.iop.org
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 …
simulations is formulated for the case of generic, static magnetic fields, including those …
Schéma de relaxation pour la simulation de plasmas dans les tokamaks
R Hélie - 2023 - theses.fr
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 …
conservation d'inconnue w. Pour résoudre numériquement cette équation, nous utilisons un …
Semi-Lagrangian Scheme with Arakawa Splitting for Gyro-kinetic Equations
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 …
magnetized magnetic field. We propose a new algorithm for solving it combining the Semi …