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Semi-Lagrangian simulations of the diocotron instability

Eric Madaule 1 Sever Adrian Hirstoaga 1, 2 Michel Mehrenberger 1, 2 Jérôme Pétri 3
1 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 : We consider a guiding center simulation on an annulus. We propose here to revisit this test case by using a classical semi-Lagrangian approach. First, we obtain the conservation of the electric energy and mass for some adapted boundary conditions. Then we recall the dispersion relation and discussions on diff erent boundary conditions are detailed. Finally, the semi-Lagrangian code is validated in the linear phase against analytical growth rates given by the dispersion relation. Also we have validated numerically the conservation of electric energy and mass. Numerical issues/diffi culties due to the change of geometry can be tackled in such a test case which thus may be viewed as a fi rst intermediate step between a classical guiding center simulation in a 2D cartesian mesh and a slab 4D drift kinetic simulation.
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https://hal.inria.fr/hal-00841504
Contributor : Michel Mehrenberger <>
Submitted on : Friday, July 5, 2013 - 1:53:32 PM
Last modification on : Friday, June 19, 2020 - 9:22:04 AM
Document(s) archivé(s) le : Wednesday, April 5, 2017 - 7:22:51 AM

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  • HAL Id : hal-00841504, version 1

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Eric Madaule, Sever Adrian Hirstoaga, Michel Mehrenberger, Jérôme Pétri. Semi-Lagrangian simulations of the diocotron instability. [Research Report] 2013. ⟨hal-00841504⟩

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