Title
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 non-relativistic 2D"xx3D"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.
Year
DOI
Venue
2009
10.1016/j.jcp.2009.04.005
J. Comput. Physics
Keywords
Field
DocType
. high order numerical scheme,inertial confinement fusion application,fokker–planck–landau,high order resolution,maxwell-fokker-planck-landau model,fokker-planck-landau,deterministic direct numerical method,magnetic field,energy deposition. ams subject classifications.,icf,plane surface,icf application,v vlasov-maxwell system,distribution function,energy deposition,electronic transport,nlte regime,collisional time,high order,direct approach computationally,inertial confinement regime,electron transport,high dimensionality,high order numerical scheme,fokker-planck-landau collision operator,inertial confinement fusion,electric field,numerical method,kinetics,fokker planck
Fokker–Planck equation,Statistical physics,Magnetic field,Electric field,Curse of dimensionality,Operator (computer programming),Plasma,Numerical analysis,Distribution function,Physics
Journal
Volume
Issue
ISSN
228
14
Journal of Computational Physics
Citations 
PageRank 
References 
13
1.49
5
Authors
4
Name
Order
Citations
PageRank
Roland Duclous1131.49
Bruno Dubroca2213.66
Francis Filbet327137.95
Vladimir Tikhonchuk4131.49