This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …

This review aims at providing an up-to-date status and a general introduction to the subject
of the numerical study of energetic particle acceleration and transport in turbulent …

Magnetic reconnection converts, often explosively, stored magnetic energy to particle
energy in space and in the laboratory. Through processes operating on length scales that …

Magnetohydrodynamics (MHD)-based global space weather models have mostly been
developed and maintained at academic institutions. While the “free spirit” approach of …

We describe a new hybrid framework to model non-thermal spectral signatures from highly
energetic particles embedded in a large-scale classical or relativistic magnetohydrodynamic …

Abstract Coronal Mass Ejections (CMEs) are the key drivers of strong to extreme space
weather storms at the Earth that can have drastic consequences for technological systems in …

Magnetic reconnection occurs ubiquitously in the universe and is often invoked to explain
fast energy release and particle acceleration in high-energy astrophysics. The study of …

When astrophysical jets were discovered one hundred years ago, the field of numerical
simulations did not yet exit. Since the arrival of programmable computers though, numerical …

Magnetic reconnection is a ubiquitous plasma process that transforms magnetic energy into
particle energy during eruptive events throughout the universe. Reconnection not only …

We report a new particle in cell (PIC) method based on the semi-implicit approach. The
novelty of the new method is that unlike any of its semi-implicit predecessors at the same …