6533b85bfe1ef96bd12ba2aa

RESEARCH PRODUCT

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

Pep Mulet MestreFrancesco VecilSimon LabrunieSimon Labrunie

subject

Strategy and ManagementFOS: Physical sciences010103 numerical & computational mathematics01 natural scienceslaw.inventionMathematics::Numerical Analysislaser-plasma interactionMathematics - Analysis of PDEslawMedia TechnologyFOS: MathematicsVlasov--Maxwell[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]General Materials ScienceMathematics - Numerical Analysis0101 mathematicsMarketingPhysicsPhysics::Computational PhysicsWENOPlasmaNumerical Analysis (math.NA)Computational Physics (physics.comp-ph)LaserRunge--Kutta schemes010101 applied mathematicsClassical mechanicsStrang splittingFocus (optics)Physics - Computational PhysicsAnalysis of PDEs (math.AP)Strang splitting

description

Abstract 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.

10.1016/j.crme.2014.06.009https://hal.archives-ouvertes.fr/hal-01009128/document