Asymptotic-Preserving methods and multiscale models for plasma physics

TL;DR

This paper reviews Asymptotic-Preserving methods for multiscale plasma simulations, focusing on singular perturbation problems like quasi-neutral and drift limits, and efficient numerical solutions for anisotropic equations in magnetized plasmas.

Contribution

It provides a comprehensive overview of recent advances in Asymptotic-Preserving techniques applied to complex plasma models and their numerical resolutions.

Findings

Analysis of quasi-neutral limit in non-magnetized and magnetized plasmas

Discussion of drift limit under large magnetic fields

Review of numerical methods for anisotropic elliptic and diffusion equations

Abstract

The purpose of the present paper is to provide an overview of Asymptotic-Preserving methods for multiscale plasma simulations by addressing three singular perturbation problems. First, the quasi-neutral limit of fluid and kinetic models is investigated in the framework of non magnetized as well as magnetized plasmas. Second, the drift limit for fluid descriptions of thermal plasmas under large magnetic fields is addressed. Finally efficient numerical resolutions of anisotropic elliptic or diffusion equations arising in magnetized plasma simulation are reviewed.