WENO schemes applied to the quasi-relativistic Vlasov-Maxwell model for laser-plasma interaction

Francesco Vecil (1) , Pep Mulet (2) , Simon Labrunie (3)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 Departament de Matemàtica Aplicada
3 IECL - Institut Élie Cartan de Lorraine

In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser wave interacts with and heats a plasma by penetrating into it. We propose several non-oscillatory methods based on either Runge--Kutta (explicit) or Time-Splitting (implicit) time discretizations. We then show preliminary numerical experiments.

Mots clés: WENO; laser-plasma interaction; Vlasov--Maxwell; Strang splitting; Runge--Kutta schemes

Domaines: Equations aux dérivées partielles [math.AP]

Francesco Vecil, Pep Mulet, Simon Labrunie. WENO schemes applied to the quasi-relativistic Vlasov-Maxwell model for laser-plasma interaction. Comptes Rendus Mécanique, 2014, 342 (10-11), ⟨10.1016/j.crme.2014.06.009⟩. ⟨hal-01009128⟩