Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code

Guillaume Latu; Virginie Grandgirard; Jérémie Abiteboul; Nicolas Crouseilles; Guilhem Dif-Pradalier; Xavier Garbet; Philippe Ghendrih; Michel Mehrenberger; Yanick Sarazin; Eric Sonnendrücker

doi:10.1140/epjd/e2014-50209-1

2021 Impact factor 1.611

Atomic, Molecular, Optical and Plasma Physics

Topical issue: Theory and Applications of the Vlasov Equation. Guest editors: Francesco Pegoraro, Francesco Califano, Giovanni Manfredi and Philip J. Morrison

Eur. Phys. J. D (2014) 68: 345
https://doi.org/10.1140/epjd/e2014-50209-1

Regular Article

Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code^*

Guillaume Latu¹^a, Virginie Grandgirard¹, Jérémie Abiteboul², Nicolas Crouseilles³, Guilhem Dif-Pradalier¹, Xavier Garbet¹, Philippe Ghendrih¹, Michel Mehrenberger², Yanick Sarazin¹ and Eric Sonnendrücker²

¹ CEA, IRFM, 13108 Saint-Paul-lez-Durance, France
² Max-Planck-Institute for Plasmaphysics, Boltzmannstr. 2, 85748 Garching, Germany
³ INRIA IPSO & IRMAR, 263 Av. Leclerc, 35042 Rennes, France

^a e-mail: guillaume.latu@cea.fr

Received: 14 March 2014
Received in final form: 7 August 2014
Published online: 17 November 2014

Abstract

In gyrokinetic turbulent simulations, the knowledge of some stationary states can help reducing numerical artifacts. Considering long-term simulations, the qualities of the Vlasov solver and of the radial boundary conditions have an impact on the conservation properties. In order to improve mass and energy conservation mainly, the following methods are investigated: fix the radial boundary conditions on a stationary state, use a 4D advection operator that avoids a directional splitting, interpolate with a delta-f approach. The combination of these techniques in the semi-Lagrangian code gysela leads to a net improvement of the conservation properties in 5D simulations.

Contribution to the Topical Issue “Theory and Applications of the Vlasov Equation”, edited by Francesco Pegoraro, Francesco Califano, Giovanni Manfredi and Philip J. Morrison.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014