High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics

• Published in: Journal of computational physics Vol. 427; p. 110036
• Main Authors: Cai, Xiaofeng, Boscarino, Sebastiano, Qiu, Jing-Mei
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 15.02.2021; Elsevier Science Ltd
• Subjects: Algorithms; Burgers equation; Commutators; Computational physics; Conservation laws; Discontinuous Galerkin; Evolution; Galerkin method; Guiding center Vlasov model; Integrators; Linearization; Mass conservative; Nonlinear dynamics; Runge-Kutta exponential integrators; Runge-Kutta method; Semi-Lagrangian; Transport equations; Vlasov-Poisson; Discontinuous Galerkin; Runge-Kutta exponential integrators; Guiding center Vlasov model; Vlasov-Poisson; Semi-Lagrangian; Mass conservative

In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The commutator-free Runge-Kutta (RK) exponential integrators (EI) were proposed by Celledoni, et al. (FGCS, 2003). In the nonlinear tr...