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Parallel kinetic scheme for transport equations in complex toroidal geometry

Matthieu Boileau 1, 2 Bérenger Bramas 3 Emmanuel Franck 2 Romane Hélie 1, 2 Philippe Helluy 1, 2 Laurent Navoret 2, 1
2 TONUS - TOkamaks and NUmerical Simulations
IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est
3 CAMUS - Compilation pour les Architectures MUlti-coeurS
Inria Nancy - Grand Est, ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
Abstract : We present an efficient solver for the conservative transport equation with variable coefficients in complex toroidal geometries. The solver is based on a kinetic formulation resembling the Lattice-Boltzmann approach. The chosen formalism allows to obtain an explicit and conservative scheme that requires no matrix inversion and whose CFL stability condition is independent from the poloidal dynamics. We present the method and its optimized parallel implementation on toroidal geometries. Two and three dimensional plasma physics test cases are carried out.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02404082
Contributor : Philippe Helluy Connect in order to contact the contributor
Submitted on : Monday, January 17, 2022 - 5:25:13 PM
Last modification on : Friday, January 21, 2022 - 3:09:52 AM

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  • HAL Id : hal-02404082, version 2

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Matthieu Boileau, Bérenger Bramas, Emmanuel Franck, Romane Hélie, Philippe Helluy, et al.. Parallel kinetic scheme for transport equations in complex toroidal geometry. 2021. ⟨hal-02404082v2⟩

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