An Energy Conserving Vlasov Solver That Tolerates Coarse Velocity Space Resolutions: Simulation of MMS Reconnection Events
Abstract
Vlasov solvers that operate on a phasespace grid are highly accurate but also numerically demanding. Coarse velocity space resolutions, which are unproblematic in particleincell (PIC) simulations, can lead to numerical heating or oscillations in standard continuum Vlasov methods. 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 differential equation solver for the kinetic update of mean velocity and temperature. The solvers work together via moment fitting during which the maximum entropy part of the distribution function is replaced by the solution from the partial differential equation solver. This numerical scheme makes continuum Vlasov methods competitive with PIC methods concerning computational cost and enables us to model large scale reconnection in Earth's magnetosphere with a fully kinetic continuum method. The simulation results agree well with measurements by the MMS spacecraft.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.06743
 Bibcode:
 2021arXiv210906743A
 Keywords:

 Physics  Plasma Physics;
 Physics  Computational Physics;
 Physics  Space Physics
 EPrint:
 17 pages, 6 figures