An Energy Conserving Vlasov Solver That Tolerates Coarse Velocity Space Resolutions: Simulation of MMS Reconnection Events
@article{AllmannRahn2021AnEC, title={An Energy Conserving Vlasov Solver That Tolerates Coarse Velocity Space Resolutions: Simulation of MMS Reconnection Events}, author={F. Allmann‐Rahn and Simon Lautenbach and Rainer Grauer}, journal={Journal of Geophysical Research: Space Physics}, year={2021}, volume={127} }
Vlasov solvers that operate on a phase‐space grid are highly accurate but also numerically demanding. Coarse velocity space resolutions, which are largely unproblematic in particle‐in‐cell (PIC) simulations, can lead to numerical heating or oscillations in continuum Vlasov methods. To address this issue, we present a new dual Vlasov solver which is based on an established positivity preserving advection scheme for the update of the distribution function and an energy conserving partial…
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References
SHOWING 1-10 OF 50 REFERENCES
Kinetic Vlasov simulations of collisionless magnetic reconnection
- Physics
- 2006
A fully kinetic Vlasov simulation of the Geospace Environment Modeling Magnetic Reconnection Challenge is presented. Good agreement is found with previous kinetic simulations using particle in cell…
ViDA: a Vlasov–DArwin solver for plasma physics at electron scales
- PhysicsJournal of Plasma Physics
- 2019
We present a Vlasov–DArwin numerical code (ViDA) specifically designed to address plasma physics problems, where small-scale high accuracy is requested even during the nonlinear regime to guarantee a…
Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models
- Computer Science, Physics
- 2017
In this paper, a general and straightforward way of improving conservation properties of Vlasov schemes is presented that can potentially be applied to a variety of different codes.
An efficient, conservative, time-implicit solver for the fully kinetic arbitrary-species 1D-2V Vlasov-Ampère system
- PhysicsJ. Comput. Phys.
- 2020
Discontinuous Galerkin algorithms for fully kinetic plasmas
- Computer ScienceJ. Comput. Phys.
- 2018
Multiphysics Simulations of Collisionless Plasmas
- PhysicsFront. Phys.
- 2018
Collisionless plasmas, mostly present in astrophysical and space environments, often require a kinetic treatment as given by the Vlasov equation. Unfortunately, the six-dimensional Vlasov equation…
Multidimensional Vlasov–Poisson Simulations with High-order Monotonicity- and Positivity-preserving Schemes
- Mathematics, Computer Science
- 2017
New numerical schemes for Vlasov–Poisson equations with high-order accuracy are developed based on a spatially monotonicity-preserving scheme and modified suitably so that the positivity of the distribution function is also preserved and an efficient semi-Lagrangian time integration scheme is adopted.
Temperature gradient driven heat flux closure in fluid simulations of collisionless reconnection
- PhysicsJournal of Plasma Physics
- 2018
Recent efforts to include kinetic effects in fluid simulations of plasmas have been very promising. Concerning collisionless magnetic reconnection, it has been found before that damping of the…
A massively parallel semi-Lagrangian solver for the six-dimensional Vlasov–Poisson equation
- Computer Science, MathematicsInt. J. High Perform. Comput. Appl.
- 2019
An optimized and scalable semi-Lagrangian solver for the Vlasov–Poisson system in six-dimensional phase space is presented, and a pipelining scheme is proposed that enables to hide the costs for the halo communication between neighbor processes efficiently behind useful computation.