Composition schemes for the guiding-center model

Michel Mehrenberger (1) , Laurent Navoret (2, 3) , Anh-Tuan Vu (1)

1 I2M - Institut de Mathématiques de Marseille
2 IRMA - Institut de Recherche Mathématique Avancée
3 TONUS - TOkamaks and NUmerical Simulations

We present composition schemes for solving non-linear transport equations, like the guiding-center model. This is based on direct and adjoint transport steps. The adjoint steps being implicit, they are replaced by explicit approximated adjoint steps using a given number of fixed point iterations. This does not modify the order of accuracy. Several numerical tests assess the performance of the method.

Mots clés: composition scheme; splitting; semi-Lagrangian; guiding-center model

Domaines: Mathématiques [math]

Michel Mehrenberger, Laurent Navoret, Anh-Tuan Vu. Composition schemes for the guiding-center model. FVCA: International Conference on Finite Volumes for Complex Applications, Oct 2023, Strasbourg, France. https://link.springer.com/chapter/10.1007/978-3-031-40860-1_25, ⟨10.1007/978-3-031-40860-1_25⟩. ⟨hal-04035921⟩