Asymptotic-Preserving methods and multiscale models for plasma physics

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.

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• Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field
• Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses I: time discretization and asymptotic analysis
• Monodisperse gas-solid mixtures with intense interphase interaction in two-fluid Smoothed Particle Hydrodynamics
• Efficient Stochastic Asymptotic-Preserving IMEX Methods for Transport Equations with Diffusive Scalings and Random Inputs
• High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
• Bridging kinetic plasma descriptions and single fluid models
• Multiphysics simulations of collisionless plasmas