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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:228

Article

Duclous, Roland^1,2  Dubroca, Bruno^1,2  Filbet, Francis³  Tikhonchuk, Vladimir¹ 

[1] Univ Bordeaux 1, CEA, CNRS, CELIA,UMR, F-33405 Talence, France

[2] Inst Math Bordeaux, F-33405 Talence, France

[3] Univ Lyon 1, INSAL, ECL, Inst Camille Jordan,UMR 5208, F-69622 Villeurbanne, France

关键词: High order numerical scheme;    Fokker-Planck-Landau;    Inertial confinement regime;    Magnetic field;    Electron transport;    Energy deposition;   

DOI  :  10.1016/j.jcp.2009.04.005

来源: Elsevier

【 摘 要 】

A high order, deterministic direct numerical method is proposed for the non-relativistic 2D(x) x 3D(v) Vlasov-Maxwell system, coupled with Fokker-Planck-Landau collision operators. The magnetic field is perpendicular to the 2D(x) plane surface of computation, whereas the electric fields occur in this plane. Such a system is devoted to modelling of electron transport and energy deposition in the general frame of Inertial Confinement Fusion applications. It is able to describe the kinetics of the plasma electrons in the nonlocal equilibrium regime, and permits to consider a large anisotropy degree of the distribution function. We 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. Fast algorithms are employed, which makes this direct approach computationally affordable for simulations of hundreds of collisional times. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free