Asymptotically preserving particle methods for strongly magnetized plasmas in a torus

DOI10.1016/j.jcp.2023.112015OpenAlexW4322505341MaRDI QIDQ2689614

Francis Filbet, Luis Miguel Rodrigues

Publication date: 13 March 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.07108

zbMATH Keywords

Vlasov equationparticle methodsstrong magnetic fieldhigh-order time discretization

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

• High order semi-implicit schemes for time dependent partial differential equations
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• An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields
• A two-step symmetric method for charged-particle dynamics in a normal or strong magnetic field
• INVITED: Slow manifold reduction for plasma science
• Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field
• Asymptotically Stable Particle-In-Cell Methods for the Vlasov--Poisson System with a Strong External Magnetic Field
• Symmetric multistep methods for charged-particle dynamics
• Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field
• Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction
• Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
• Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas

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