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Journal Articles SMAI Journal of Computational Mathematics Year : 2022

Parallel kinetic scheme in complex toroidal geometry

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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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Dates and versions

hal-02404082 , version 1 (11-12-2019)
hal-02404082 , version 2 (17-01-2022)

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Cite

Matthieu Boileau, Bérenger Bramas, Emmanuel Franck, Romane Hélie, Philippe Helluy, et al.. Parallel kinetic scheme in complex toroidal geometry. SMAI Journal of Computational Mathematics, 2022, pp.249-271. ⟨10.5802/smai-jcm.86⟩. ⟨hal-02404082v2⟩
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