Abstract
We describe the implementation of 1d1v and 1d2v Vlasov and Fokker-Planck kinetic solvers with adaptive mesh refinement in phase space (AMPS) and coupling these kinetic solvers to Poisson equation solver for electric fields. We demonstrate that coupling AMPS kinetic and electrostatic solvers can be done efficiently without splitting phase-space transport. We show that Eulerian fluid and kinetic solvers with dynamically adaptive Cartesian mesh can be used for simulations of collisionless plasma expansion into vacuum. The Vlasov-Fokker-Planck solver is demonstrated for the analysis of electron acceleration and scattering as well as the generation of runaway electrons in spatially inhomogeneous electric fields.
Highlights
Simulations of low-temperature plasma require coupling kinetic solvers with electromagnetic solvers
We have previously shown that splitting velocity and configuration spaces is one way to resolve the coupling challenge for kinetic solvers with adaptive mesh in phase space (AMPS)
Collision processes in the Fokker-Planck solver have been implemented using spherical coordinates in velocity space for simulations of electron kinetics in weakly-ionized plasma. We demonstrate these solvers for analysis of electron acceleration by electric fields and scattering by neutral atoms as well as electron impact ionization of atoms and generation of runaway electrons in spatially inhomogeneous electric fields
Summary
Simulations of low-temperature plasma require coupling kinetic solvers with electromagnetic solvers. We solve Vlasov and Fokker-Planck kinetic equation using Finite Volume method with octree Cartesian mesh, without splitting physical and velocity spaces. Mesh adaptation in velocity space triggers mesh adaptation in physical space This creates some difficulties for calculation of particle density and coupling kinetic solvers to Poisson solver for calculation of electrostatic field. Collision processes in the Fokker-Planck solver have been implemented using spherical coordinates in velocity space for simulations of electron kinetics in weakly-ionized plasma. We demonstrate these solvers for analysis of electron acceleration by electric fields and scattering by neutral atoms as well as electron impact ionization of atoms and generation of runaway electrons in spatially inhomogeneous electric fields. The problem is associated with large variations of plasma density within a computational domain calling for a hybrid fluid-kinetic solver. we describe our recent advances of the fluid and kinetic solvers for collisionless plasma
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
