122 citations · 259 across the 14 of their papers we have counts for
14 papers
Gauge-invariant variational formulations of electromagnetic gyrokinetic theory
Ronald Remmerswaal, Roman Hatzky, Eric Sonnendrücker
The use of gyrokinetics, wherein phase-space coordinate transformations result in a phase-space dimensionality reduction as well as the removal of fast time scales, has enabled the…
A self-consistent Hamiltonian model of the ponderomotive force and its structure preserving discretization
William Barham, Yaman Güçlü, Philip J. Morrison +1
In the presence of an inhomogeneous oscillatory electric field, charged particles experience a net force, averaged over the oscillatory timescale, known as the ponderomotive force.…
Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps
Dominik Bell, Martin Campos Pinto, Davor Kumozec +3
The gyro-kinetic model is an approximation of the Vlasov-Maxwell system in a strongly magnetized magnetic field. We propose a new algorithm for solving it combining the Semi-Lagran…
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations
F. Fambri, E. Zampa, S. Busto +4
We present a new divergence-free and well-balanced hybrid FV/FE scheme for the incompressible viscous and resistive MHD equations on unstructured mixed-element meshes in 2 and 3 sp…
Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons
Yingzhe Li, Martin Campos Pinto, Florian Holderied +2
We explore the possibilities of applying structure-preserving numerical methods to a plasma hybrid model with kinetic ions and mass-less fluid electrons satisfying the quasi-neutra…
Canonical variables based numerical schemes for hybrid plasma models with kinetic ions and massless electrons
Yingzhe Li, Florian Holderied, Stefan Possanner +1
We study the canonical variables based numerical schemes of a hybrid model with kinetic ions and mass-less electrons. Two equivalent formulations of the hybrid model are presented…
A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type models
William Barham, Philip J. Morrison, Eric Sonnendrücker
Three geometric formulations of the Hamiltonian structure of the macroscopic Maxwell equations are given: one in terms of the double de Rham complex, one in terms of L2 duality, an…
Perfect Conductor Boundary Conditions for Geometric Particle-in-Cell Simulations of the Vlasov-Maxwell System in Curvilinear Coordinates
Benedikt Perse, Katharina Kormann, Eric Sonnendrücker
Structure-preserving methods can be derived for the Vlasov-Maxwell system from a discretisation of the Poisson bracket with compatible finite-elements for the fields and a particle…
A mimetic discretization of the macroscopic Maxwell equations in Hamiltonian form
William Barham, Yaman Güçlü, Philip J. Morrison +1
A mimetic spectral element discretization, utilizing a novel Galerkin projection Hodge star operator, of the macroscopic Maxwell equations in Hamiltonian form is presented. The ide…
Second order Gyrokinetic theory for Particle-In-Cell codes
Natalia Tronko, Alberto Bottino, Eric Sonnendruecker
The main idea of Gyrokinetic dynamical reduction consists in systematical removing of fastest scale of motion (the gyro motion) from plasma's dynamics, resulting in a considerable…
Analysis of a new class of Forward Semi-Lagrangian schemes for the 1D Vlasov-Poisson Equations
Thomas Respaud, Eric Sonnendrücker
The Vlasov equation is a kinetic model describing the evolution of charged particles, and is coupled with Poisson's equation, which rules the evolution of the self-consistent elect…
A Forward semi-Lagrangian Method for the Numerical Solution of the Vlasov Equation
Nicolas Crouseilles, Thomas Respaud, Eric Sonnendrücker
This work deals with the numerical solution of the Vlasov equation. This equation gives a kinetic description of the evolution of a plasma, and is coupled with Poisson's equation f…
Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method
Emmanuel Frénod, Francesco Salvarani, Eric Sonnendrücker
We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic sta…
Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations
Emmanuel Frénod, Alexandre Mouton, Eric Sonnendrücker
Motivated by the difficulty to solve numerically the weakly compressible 1D isentropic Euler equations with classical methods, we develop in this paper a two scale numerical method…