General moment system for plasmas physics based on minimum entropy principle
MALLET, Jessy
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
MALLET, Jessy
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Kinetic and Related Models. 2015, vol. 8, n° 3
AIMS
English Abstract
In plasma physics domain, the electrons transport can be des cribed from kinetic and hydrodynamical models. Both methods present disadvantages and thus cannot be considered in practical computations forInertial Confinement ...Read more >
In plasma physics domain, the electrons transport can be des cribed from kinetic and hydrodynamical models. Both methods present disadvantages and thus cannot be considered in practical computations forInertial Confinement Fusion (ICF). That is why we propose in this paper a new model which is intermediate between these two descriptions. More precisely, the derivation of such models is based on an angular closure in the phase space and retains only the energy of particles as a kinetic variable. The closure ofthe moment system is obtained from a minimum entropy principle. The resultingcontinuous model is proved to satisfy fundamental properties. Moreover the model is discretized w.r.t the energy variable and the semi-discretized scheme is shown to satisfy conservation properties and entropy decay.Read less <
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