A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations

Guo Meng; Katharina Kormann; Emil Poulsen; Eric Sonnendrücker

doi:10.1088/1361-6587/adc832

A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations

Guo Meng, Katharina Kormann, Emil Poulsen, Eric Sonnendrücker

Chair of Numerical Methods in Plasma Physics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we extend the geometric particle in cell framework on dual grids to a gauge-free drift-kinetic (DK) Vlasov-Maxwell model and its coupling with the fully kinetic (FK) model. We derive a discrete action principle on dual grids for our DK model, such that the dynamical system involves only the electric and magnetic fields and not the potentials as most DK and gyrokinetic models do. This yields a macroscopic Maxwell equation including polarization and magnetization terms that can be coupled straightforwardly with a FK model.

Original language	English
Article number	055007
Journal	Plasma Physics and Controlled Fusion
Volume	67
Issue number	5
DOIs	https://doi.org/10.1088/1361-6587/adc832
State	Published - 31 May 2025

Keywords

commuting de Rham diagram
drift-kinetic
fully kinetic ion
geometric particle-in-cell
mimetic finite differences
Vlasov-Maxwell

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10.1088/1361-6587/adc832

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title = "A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations",

abstract = "In this paper, we extend the geometric particle in cell framework on dual grids to a gauge-free drift-kinetic (DK) Vlasov-Maxwell model and its coupling with the fully kinetic (FK) model. We derive a discrete action principle on dual grids for our DK model, such that the dynamical system involves only the electric and magnetic fields and not the potentials as most DK and gyrokinetic models do. This yields a macroscopic Maxwell equation including polarization and magnetization terms that can be coupled straightforwardly with a FK model.",

keywords = "commuting de Rham diagram, drift-kinetic, fully kinetic ion, geometric particle-in-cell, mimetic finite differences, Vlasov-Maxwell",

author = "Guo Meng and Katharina Kormann and Emil Poulsen and Eric Sonnendr{\"u}cker",

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T1 - A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations

AU - Meng, Guo

AU - Kormann, Katharina

AU - Poulsen, Emil

AU - Sonnendrücker, Eric

PY - 2025/5/31

Y1 - 2025/5/31

N2 - In this paper, we extend the geometric particle in cell framework on dual grids to a gauge-free drift-kinetic (DK) Vlasov-Maxwell model and its coupling with the fully kinetic (FK) model. We derive a discrete action principle on dual grids for our DK model, such that the dynamical system involves only the electric and magnetic fields and not the potentials as most DK and gyrokinetic models do. This yields a macroscopic Maxwell equation including polarization and magnetization terms that can be coupled straightforwardly with a FK model.

AB - In this paper, we extend the geometric particle in cell framework on dual grids to a gauge-free drift-kinetic (DK) Vlasov-Maxwell model and its coupling with the fully kinetic (FK) model. We derive a discrete action principle on dual grids for our DK model, such that the dynamical system involves only the electric and magnetic fields and not the potentials as most DK and gyrokinetic models do. This yields a macroscopic Maxwell equation including polarization and magnetization terms that can be coupled straightforwardly with a FK model.

KW - commuting de Rham diagram

KW - drift-kinetic

KW - fully kinetic ion

KW - geometric particle-in-cell

KW - mimetic finite differences

KW - Vlasov-Maxwell

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AN - SCOPUS:105002686375

SN - 0741-3335

VL - 67

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

IS - 5

M1 - 055007

ER -

A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations

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