Time-explicit Darwin PIC algorithm

DOI10.1016/j.jcp.2022.111151OpenAlexW4224114800MaRDI QIDQ2671300

Yanyan Li

Publication date: 3 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111151

zbMATH Keywords

Hamiltoniansemi-implicitPICmagnetostaticDarwintime-explicit

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Ionized gas flow in electromagnetic fields; plasmic flow (76Xxx)

Uses Software

• Mathematica

Cites Work

• An aggregation-based algebraic multigrid method
• Characterization of the Darwin direct implicit particle-in-cell method and resulting guidelines for operation
• Streamlined Darwin simulation of nonneutral plasmas
• Accurate numerical solution of charged particle motion in a magnetic field
• A \(\delta f\) particle method for gyrokinetic simulations with kinetic electrons and electromagnetic perturbations
• The Darwin direct implicit particle-in-cell (DADIPIC) method for simulation of low frequency plasma phenomena
• A finite element formulation of the Darwin PIC model for use on unstructured grids
• Improved \(C^1\) shape functions for simplex meshes
• An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields
• A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

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