On numerical energy conservation for an implicit particle-in-cell method coupled with a binary Monte-Carlo algorithm for Coulomb collisions

DOI10.1016/j.jcp.2022.111030OpenAlexW4210693040MaRDI QIDQ2133795

Alex Friedman, Anthony Link, Justin Ray Angus, Debojyoti Ghosh, Jamal David Johnson

Publication date: 5 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111030

zbMATH Keywords

plasmaBoltzmann equationparticle-in-cellPIC

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Applications of statistical mechanics to specific types of physical systems (82Dxx) Ionized gas flow in electromagnetic fields; plasmic flow (76Xxx)

Related Items (2)

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

Uses Software

• Chombo

Cites Work

• Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations
• An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm
• The energy conserving particle-in-cell method
• A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations
• A second-order implicit particle mover with adjustable damping
• Particle simulation of Coulomb collisions: Comparing the methods of Takizuka \& Abe and Nanbu
• An implicit method for electromagnetic plasma simulation in two dimensions
• Implicit time integration for plasma simulation
• A binary collision model for plasma simulation with a particle code
• Weighted particles in Coulomb collision simulations based on the theory of a cumulative scattering angle
• Exactly energy conserving semi-implicit particle in cell formulation
• A semi-implicit, energy- and charge-conserving particle-in-cell algorithm for the relativistic Vlasov-Maxwell equations
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

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