An implicit method for electromagnetic plasma simulation in two dimensions

DOI10.1016/0021-9991(82)90016-XzbMath0489.76127OpenAlexW2059004902MaRDI QIDQ1167031

Jeremiah U. Brackbill, David W. Forslund

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90016-x

zbMATH Keywords

two dimensions implicit method Vlasov-Maxwell equations Weibel instability linear and nonlinear finite grid instability low-frequency code VENUS

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Basic methods in fluid mechanics (76M99)

Related Items (59)

A semi-implicit, energy- and charge-conserving particle-in-cell algorithm for the relativistic Vlasov-Maxwell equations ⋮ On numerical energy conservation for an implicit particle-in-cell method coupled with a binary Monte-Carlo algorithm for Coulomb collisions ⋮ A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm ⋮ On the velocity space discretization for the Vlasov-Poisson system: comparison between implicit Hermite spectral and particle-in-cell methods ⋮ Continuously differentiable PIC shape functions for triangular meshes ⋮ The use of a preconditioned bi-conjugate gradient method for hybrid plasma stability analysis ⋮ Electromagnetic direct implicit plasma simulation ⋮ Low-frequency electromagnetic (Darwin) applications in plasma simulation ⋮ Macroscale implicit electromagnetic particle simulation of magnetized plasmas ⋮ Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system ⋮ Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations ⋮ Two-way coupling of a global Hall magnetohydrodynamics model with a local implicit particle-in-cell model ⋮ The fluid-kinetic particle-in-cell method for plasma simulations ⋮ Multi-level multi-domain algorithm implementation for two-dimensional multiscale particle in cell simulations ⋮ Performance and optimization of direct implicit particle simulation ⋮ The macro-EM particle simulation method and a study of collisionless magnetic reconnection ⋮ An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit ⋮ A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver ⋮ Eliminating finite-grid instabilities in gyrokinetic particle-in-cell simulations ⋮ Exactly energy conserving semi-implicit particle in cell formulation ⋮ Asymptotic-preserving methods and multiscale models for plasma physics ⋮ Finite spatial-grid effects in energy-conserving particle-in-cell algorithms ⋮ An asymptotic preserving scheme for the streamer simulation ⋮ An implicit particle code with \textit{exact} energy and charge conservation for electromagnetic studies of dense plasmas ⋮ Multiscale high-order/low-order (HOLO) algorithms and applications ⋮ Asymptotic-preserving particle-in-cell methods for the Vlasov-Maxwell system in the quasi-neutral limit ⋮ A new electromagnetic particle-in-cell model with adaptive mesh refinement for high-performance parallel computation ⋮ Energy and charge conserving semi-implicit particle-in-cell model for simulations of high-pressure plasmas in magnetic traps ⋮ ECsim-CYL: Energy conserving semi-implicit particle in cell simulation in axially symmetric cylindrical coordinates ⋮ Numerical approximation of the Euler-Maxwell model in the quasineutral limit ⋮ Particle simulations of space weather ⋮ FLEKS: a flexible particle-in-cell code for multi-scale plasma simulations ⋮ An implicit method for electromagnetic plasma simulation in two dimensions ⋮ ASPEN: A fully kinetic, reduced-description particle-in-cell model for simulating parametric instabilities ⋮ An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm ⋮ The energy conserving particle-in-cell method ⋮ A conservation-moment-based implicit finite volume lattice Boltzmann method for steady nearly incompressible flows ⋮ Equation free projective integration: a multiscale method applied to a plasma ion acoustic wave ⋮ Comparison of Preconditioning Strategies in Energy Conserving Implicit Particle in Cell Methods ⋮ An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm ⋮ A guiding centre direct implicit scheme for magnetized plasma simulations ⋮ Multi-scale simulations of plasma with iPIC3D ⋮ Particle-in-cell modeling of relativistic laser-plasma interaction with the adjustable-damping, direct implicit method ⋮ Mathematical modeling of plasma opening switches ⋮ Asymptotic-preserving particle-in-cell method for the Vlasov-Poisson system near quasineutrality ⋮ On energy and momentum conservation in particle-in-cell plasma simulation ⋮ Energy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell system ⋮ Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode ⋮ An electromagnetic field algorithm for 2D implicit plasma simulation ⋮ Particle code optimization on vector computers ⋮ A general concurrent algorithm for plasma particle-in-cell simulation codes ⋮ A multilevel iterative field solver for implicit, kinetic, plasma simulation ⋮ A massively parallel three-dimensional hybrid code for simulating ion-driven parametric instabilities ⋮ Implicit particle simulation of magnetized plasmas ⋮ Economising plasma simulation by total neglect of the displacement current ⋮ Direct implicit large time-step particle simulation of plasmas ⋮ A simplified implicit Maxwell solver. ⋮ An implicit moment electromagnetic plasma simulation in cylindrical coordinates ⋮ A time-implicit Monte Carlo collision algorithm for particle-in-cell electron transport models

Uses Software

EISPACK

Cites Work

This page was built for publication: An implicit method for electromagnetic plasma simulation in two dimensions