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

Roland Duclous (1) , Bruno Dubroca (1) , Francis Filbet (2) , Vldimir Tikhonchuk (1)

1 CELIA - Centre d'Etudes Lasers Intenses et Applications
2 ICJ - Institut Camille Jordan

A high order, deterministic direct numerical method is proposed for the nonrelativistic $2D_{\bf x} \times 3D_{\bf v}$ 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.

Mots clés: High order numerical scheme; Fokker-Planck-Landau; NLTE regime; ICF; Magnetic field; Electronic transport; Energy deposition.; Energy deposition

Domaines: Analyse numérique [math.NA]

Roland Duclous, Bruno Dubroca, Francis Filbet, Vldimir Tikhonchuk. High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications. Journal of Computational Physics, 2009, 228 (14), pp.5072-5100. ⟨hal-00334696⟩