We present a new algorithm for the discretization of the non-relativistic Vlasov–Maxwell
system of equations for the study of plasmas in the kinetic regime. Using the discontinuous …

We present results from a new hybrid-Vlasov simulation code, Vlasiator, designed for global
magnetospheric simulations. Vlasiator represents ions by a six-dimensional distribution …

We propose a direct arbitrary Lagrangian-Eulerian (ALE) variant of the previously developed
discrete velocity method to solve the kinetic equation with the Bhatnagar–Gross–Krook …

This article presents an overview of recent advances in the field of electron kinetics in low-
temperature plasmas (LTPs). It also provides author's views on where the field is headed …

Discrete unified gas-kinetic scheme (DUGKS) is a multiscale numerical method for flows
from continuum limit to free molecular limit, and is especially suitable for the simulation of …

The paper is devoted to the further development of the numerical methods to solve model
kinetic equations and their application to hypersonic rarefied gas flows. Firstly, we verify the …

We evaluate the performance of three plasma fluid models: the first order reaction-drift-
diffusion model based on the local field approximation; the second order reaction-drift …

Numerical simulations of rarefied gas flows are generally made with DSMC methods. Up to
a recent period, deterministic numerical methods based on a discretization of the Boltzmann …

The gas-kinetic scheme (GKS) and the unified gas-kinetic scheme (UGKS) are numerical
methods based on the gas-kinetic theory, which have been widely used in the numerical …

The paper is devoted to the comparative study of Shakhov model kinetic equation and Direct
Simulation Monte Carlo (DSMC) solutions as applied to high-speed flow of a monatomic gas …