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Chapitre D'ouvrage Année : 2020

Kinetic over-relaxation method for the convection equation with Fourier solver

Résumé

In this paper, we apply the CFL-less kinetic over-relaxation scheme presented in [1] to the convection equation in two space dimensions. The method is a succession of free-transport steps and collisions steps. The free transport steps are solved with Fourier discretization. The collision steps are solved with over-relaxation for achieving high order The method reaches six-order accuracy when using palindromic composition method. We apply the method to the guiding-center model in plasma physics.
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Dates et versions

hal-02427044 , version 1 (03-01-2020)
hal-02427044 , version 2 (23-03-2021)

Identifiants

Citer

Romane Hélie, Philippe Helluy, Emmanuel Franck, Laurent Navoret. Kinetic over-relaxation method for the convection equation with Fourier solver. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020., pp.745-753, 2020, 978-3-030-43650-6. ⟨10.1007/978-3-030-43651-3_71⟩. ⟨hal-02427044v2⟩
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