122 citations · 259 across the 14 of their papers we have counts for
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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…