Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system

DOI10.1016/j.cnsns.2021.105941zbMath1496.65167OpenAlexW3175893658MaRDI QIDQ2045987

Yong Cao, Hongtao Liu, Xiaofeng Cai, Giovanni Lapenta

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105941

zbMATH Keywords

finite element methodsemi-Lagrangian schememagnetic reconnectionVlasov-Maxwell systemelectromagnetic plasmas

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Vlasov equations (35Q83)

Related Items

Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes, An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampère system, A combined immersed finite element and conservative semi-Lagrangian scheme for plasma-material interactions

Uses Software

• Vador
• iPIC3D
• ViDA
• GEMPIC

Cites Work

• Unnamed Item
• On the velocity space discretization for the Vlasov-Poisson system: comparison between implicit Hermite spectral and particle-in-cell methods
• Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
• A discontinuous Galerkin method for the Vlasov-Poisson system
• Particle simulations of space weather
• Time-integration methods for finite element discretisations of the second-order Maxwell equation
• A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
• Two-dimensional full-electromagnetic Vlasov code with conservative scheme and its application to magnetic reconnection
• Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations
• A critical comparison of Eulerian-grid-based Vlasov solvers
• Comparison of Eulerian Vlasov solvers
• Numerical solution of the Vlasov-Poisson system using generalized Hermite functions
• Comparison of time splitting and backsubstitution methods for integrating Vlasov's equation with magnetic fields
• High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation
• Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system
• Hamiltonian splitting for the Vlasov-Maxwell equations
• A conservative high order semi-Lagrangian WENO method for the Vlasov equation
• Multi-scale simulations of plasma with iPIC3D
• A finite difference 3-D Poisson-Vlasov algorithm for ions extracted from a plasma
• Vlasov simulations using velocity-scaled Hermite representations
• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• A conserved discrete unified gas kinetic scheme for microchannel gas flows in all flow regimes
• Exactly energy conserving semi-implicit particle in cell formulation
• Asymptotic-preserving particle-in-cell methods for the Vlasov-Maxwell system in the quasi-neutral limit
• A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
• Discontinuous Galerkin algorithms for fully kinetic plasmas
• A simplified implicit Maxwell solver.
• Conservative semi-Lagrangian schemes for kinetic equations part. II: Applications
• A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface
• Gauss's law satisfying energy-conserving semi-implicit particle-in-cell method
• A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction
• A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations
• Modeling and an immersed finite element method for an interface wave equation
• A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
• A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting
• VALIS: a split-conservative scheme for the relativistic 2D Vlasov-Maxwell system
• A unified gas-kinetic scheme for continuum and rarefied flows
• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation
• Numerical methods for kinetic equations
• A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport
• Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations
• Conservative numerical schemes for the Vlasov equation
• Discrete unified gas kinetic scheme for a reformulated BGK-Vlasov-Poisson system in all electrostatic plasma regimes