An asymptotically stable particle-in-cell (PIC) scheme for collisionless plasma simulations near quasineutrality

DOI10.1016/j.crma.2006.09.033zbMath1105.65095OpenAlexW2066180648MaRDI QIDQ857123

Fabrice Deluzet, Laurent Navoret, Pierre Degond

Publication date: 14 December 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.09.033

zbMATH Keywords

singular perturbationnumerical examplessemidiscretizationVlasov-Poisson equationparticle-in-cell scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Statistical mechanics of plasmas (82D10) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (12)

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs ⋮ A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources ⋮ Asymptotic-preserving methods and multiscale models for plasma physics ⋮ Discrete unified gas kinetic scheme for a reformulated BGK-Vlasov-Poisson system in all electrostatic plasma regimes ⋮ An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit ⋮ Projective multiscale time-integration for electrostatic particle-in-cell methods ⋮ A particle method for a collisionless plasma with infinite mass ⋮ Comparison of Vlasov solvers for spacecraft charging simulation ⋮ Simulation of laser-plasma interactions and fast-electron transport in inhomogeneous plasma ⋮ Asymptotic-preserving particle-in-cell method for the Vlasov-Poisson system near quasineutrality ⋮ Multiscale Schemes for the BGK--Vlasov--Poisson System in the Quasi-Neutral and Fluid Limits. Stability Analysis and First Order Schemes ⋮ An asymptotic preserving scheme for the Euler equations in a strong magnetic field

Cites Work

• Unnamed Item
• An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
• Direct implicit large time-step particle simulation of plasmas
• Implicit moment PIC-hybrid simulation of collisional plasmas
• Implicit moment particle simulation of plasmas
• Implicit time integration for plasma simulation
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• On the Convergence of Particle Methods for Multidimensional Vlasov–Poisson Systems
• convergence of the vlasov-poisson system to the incompressible euler equations
• Convergence of a Particle Method for the Relativistic Vlasov–Maxwell System

This page was built for publication: An asymptotically stable particle-in-cell (PIC) scheme for collisionless plasma simulations near quasineutrality