Gauss's law satisfying energy-conserving semi-implicit particle-in-cell method

DOI10.1016/j.jcp.2019.02.032zbMath1452.76151arXiv1808.05745OpenAlexW2886365515WikidataQ128289846 ScholiaQ128289846MaRDI QIDQ2218605

Yanyan Li

Publication date: 15 January 2021

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

Full work available at URL: https://arxiv.org/abs/1808.05745

zbMATH Keywords

energy conservationparticle-in-cell methodcharge conservationGauss lawsemiimplicit particle-in-cell method

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Geo-electricity and geomagnetism (86A25)

Related Items (10)

Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver ⋮ An efficient, conservative, time-implicit solver for the fully kinetic arbitrary-species 1D-2V Vlasov-Ampère system ⋮ Magnetohydrodynamic with adaptively embedded particle-in-cell model: MHD-AEPIC ⋮ A semi-implicit electromagnetic FEM-PIC scheme with exact energy and charge conservation ⋮ An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint ⋮ An implicit particle code with \textit{exact} energy and charge conservation for electromagnetic studies of dense plasmas ⋮ Energy and charge conserving semi-implicit particle-in-cell model for simulations of high-pressure plasmas in magnetic traps ⋮ FLEKS: a flexible particle-in-cell code for multi-scale plasma simulations ⋮ A six-moment multi-fluid plasma model ⋮ Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system

Uses Software

• iPIC3D

Cites Work

• Two-way coupling of a global Hall magnetohydrodynamics model with a local implicit particle-in-cell model
• Alternating-order interpolation in a charge-conserving scheme for particle-in-cell simulations
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• The energy conserving particle-in-cell method
• Multi-scale simulations of plasma with iPIC3D
• A method for incorporating Gauss' law into electromagnetic PIC codes
• Macroscale implicit electromagnetic particle simulation of magnetized plasmas
• On a finite-element method for solving the three-dimensional Maxwell equations
• The macro-EM particle simulation method and a study of collisionless magnetic reconnection
• Body-fitted electromagnetic PIC software for use on parallel computers
• A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• Exactly energy conserving semi-implicit particle in cell formulation
• A simplified implicit Maxwell solver.
• A six-moment multi-fluid plasma model
• A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm
• A curvilinear, fully implicit, conservative electromagnetic PIC algorithm in multiple dimensions
• Exact charge conservation scheme for particle-in-cell simulation with an arbitrary form-factor

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