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

Abstract The Vlasov–Poisson equations describe the evolution of a collisionless plasma,
represented through a probability density function (PDF) that self-interacts via an …

Our understanding of processes occurring in the heliosphere historically began with
reduced dimensionality-one-dimensional (1D) and two-dimensional (2D) sketches and …

Abstract For decades, the Vlasov–Darwin model has been recognized to be attractive for
particle-in-cell (PIC) kinetic plasma simulations in non-radiative electromagnetic regimes, to …

An accurate treatment of the relativistic Vlasov–Maxwell system is of fundamental
importance to a broad range of plasma physics topics, including laser–plasma interaction …

A new numerical positive interpolation technique for conservation laws and its application to
Vlasov code simulations are presented. In recent Vlasov simulation codes, the Vlasov …

A detailed procedure of full-electromagnetic Vlasov simulation technique is presented. Our
new unsplitting conservative scheme exactly satisfies the continuity equation for charge. The …

In hybrid-Vlasov plasma modeling, the ion velocity distribution function is propagated using
the Vlasov equation while electrons are considered a charge-neutralizing fluid. It is an …

A fully kinetic Vlasov simulation of the Geospace Environment Modeling Magnetic
Reconnection Challenge is presented. Good agreement is found with previous kinetic …

The Darwin approximation is investigated for its possible use in simulation of
electromagnetic effects in large size, high-frequency capacitively coupled discharges. The …