Vlasov methods in space physics and astrophysics

M Palmroth, U Ganse, Y Pfau-Kempf… - Living reviews in …, 2018‏ - Springer
This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …

Nonlinear wave collapse and strong turbulence

PA Robinson - Reviews of modern physics, 1997‏ - APS
The theory and applications of wave self-focusing, collapse, and strongly nonlinear wave
turbulence are reviewed. In the last decade, the theory of these phenomena and …

Numerical methods for kinetic equations

G Dimarco, L Pareschi - Acta Numerica, 2014‏ - cambridge.org
In this survey we consider the development and mathematical analysis of numerical
methods for kinetic partial differential equations. Kinetic equations represent a way of …

How to model quantum plasmas

G Manfredi - Fields Inst. Commun, 2005‏ - books.google.com
Traditional plasma physics has mainly focused on regimes characterized by high
temperatures and low densities, for which quantummechanical effects have virtually no …

GEMPIC: geometric electromagnetic particle-in-cell methods

M Kraus, K Kormann, PJ Morrison… - Journal of Plasma …, 2017‏ - cambridge.org
We present a novel framework for finite element particle-in-cell methods based on the
discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We …

The semi-Lagrangian method for the numerical resolution of the Vlasov equation

E Sonnendrücker, J Roche, P Bertrand… - Journal of computational …, 1999‏ - Elsevier
The numerical resolution of kinetic equations and, in particular, of Vlasov-type equations is
performed most of the time using particle in cell methods which consist in describing the time …

Conservative numerical schemes for the Vlasov equation

F Filbet, E Sonnendrücker, P Bertrand - Journal of Computational Physics, 2001‏ - Elsevier
A new scheme for solving the Vlasov equation using a phase space grid is proposed. The
algorithm is based on the conservation of the flux of particles, and the distribution function is …

Comparison of eulerian vlasov solvers

F Filbet, E Sonnendrücker - Computer Physics Communications, 2003‏ - Elsevier
Vlasov methods, which instead of following the particle trajectories, solve directly the Vlasov
equation on a grid of phase space have proven to be an efficient alternative to the Particle-In …

[كتاب][B] Auroral plasma physics

G Paschmann, S Haaland, RA Treumann - 2003‏ - books.google.com
The present 15th volume of the ISSI Space Science Series is devoted to Auroral Plasma
Physics. The aurora is arguably the most intriguing phenomenon in space plasma physics …

A 5D gyrokinetic full-f global semi-Lagrangian code for flux-driven ion turbulence simulations

V Grandgirard, J Abiteboul, J Bigot… - Computer physics …, 2016‏ - Elsevier
This paper addresses non-linear gyrokinetic simulations of ion temperature gradient (ITG)
turbulence in tokamak plasmas. The electrostatic GYSELA code is one of the few …