High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications

Abstract

A high order, deterministic direct numerical method is proposed for the nonrelativistic $2D_{\mathbf{x}}\times 3D_{\mathbf{v}}$ Vlasov-Maxwell system, coupled with Fokker-Planck-Landau type operators. Such a system is devoted to the modelling of electronic transport and energy deposition in the general frame of Inertial Confinement Fusion applications. It describes the kinetics of plasma physics in the nonlocal thermodynamic equilibrium regime. Strong numerical constraints lead us to develop specific methods and approaches for validation, that might be used in other fields where couplings between equations, multiscale physics, and high dimensionality are involved. Parallelisation (MPI communication standard) and fast algorithms such as the multigrid method are employed, that make this direct approach be computationally affordable for simulations of hundreds of picoseconds, when dealing with configurations that present five dimensions in phase space.

References in corpus (3)

• Characterization of the initial filamentation of a relativistic electron beam passing through a plasma
• Exact relativistic kinetic theory of an electron beam-plasma system: hierarchy of the competing modes in the system parameter space
• Linear theory of nonlocal transport in a magnetized plasma

Cited by in corpus (8)

• A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources
• A Hamiltonian splitting for the Vlasov-Maxwell system
• Fokker-planck Multi-species Equations In The Adiabatic Asymptotics
• On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
• Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system
• An asymptotic preserving scheme for the relativistic Vlasov--Maxwell equations in the classical limit
• A conservative discrete velocity method for the ellipsoidal Fokker-Planck equation in gas-kinetic theory
• Conservative discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System