General moment system for plasmas physics based on minimum entropy principle
Résumé
In plasma physics domain, the electrons transport can be des cribed from kinetic and hydrodynamical models. Both methods prese
nt disadvantages and thus cannot be considered in practical computations for
Inertial Confinement Fusion (ICF). That is why we propose in this paper a new mo
del which is intermediate between these two descriptions. More precise
ly, the derivation of such models is based on an angular closure in the phase space a
nd retains only the energy of particles as a kinetic variable. The closure of
the moment system is obtained from a minimum entropy principle. The resulting
continuous model is proved to satisfy fundamental properties. Moreover the m
odel is discretized w.r.t the energy variable and the semi-discretized scheme i
s shown to satisfy conservation properties and entropy decay.
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