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Test of some numerical limiters for the conservative PSM scheme for 4D Drift-Kinetic simulations.

Jerome Guterl 1 Jean-Philippe Braeunig 2, 3, 4 Nicolas Crouseilles 1, 3 Virginie Grandgirard 5 Guillaume Latu 5 Michel Mehrenberger 1, 3 Eric Sonnendrücker 1, 3
3 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : The purpose of this work is simulation of magnetised plasmas in the ITER project framework. In this context, Vlasov-Poisson like models are used to simulate core turbulence in the tokamak in a toroidal geometry. This leads to heavy simulation because a 6D dimensional problem has to be solved, 3D in space and 3D in velocity. The model is reduced to a 5D gyrokinetic model, taking advantage of the particular motion of particles due to the presence of a strong magnetic field. However, accurate schemes, parallel algorithms need to be designed to bear these simulations. This paper describes a Hermite formulation of the conservative PSM scheme which is very generic and allows to implement different semi-Lagrangian schemes. We also test and propose numerical limiters which should improve the robustness of the simulations by diminishing spurious oscillations. We only consider here the 4D drift-kinetic model which is the backbone of the 5D gyrokinetic models and relevant to build a robust and accurate numerical method.
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https://hal.inria.fr/inria-00540948
Contributor : Jean-Philippe Braeunig <>
Submitted on : Tuesday, November 30, 2010 - 10:15:06 AM
Last modification on : Friday, June 19, 2020 - 9:22:04 AM
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  • HAL Id : inria-00540948, version 1
  • ARXIV : 1012.2674

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Jerome Guterl, Jean-Philippe Braeunig, Nicolas Crouseilles, Virginie Grandgirard, Guillaume Latu, et al.. Test of some numerical limiters for the conservative PSM scheme for 4D Drift-Kinetic simulations.. [Research Report] RR-7467, INRIA. 2010, pp.66. ⟨inria-00540948⟩

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