A deterministic numerical scheme for an electron heat transport model. (English) Zbl 1540.76129
Summary: In inertial confinement fusion plasma, the electron population may be strongly out-of-equilibrium on a duration and spatial domain comparable to those of the implosion process itself. At such a scale, full kinetic simulations are prohibitively demanding, which leads to persistent difficulties when trying to analyse effects of microscopic processes on the macroscopic evolution. For that purpose reduced kinetic transport models are developed. They aim at providing a kinetic closure to hydrodynamic equations through the computation of heat flux density, stress viscosity and electromagnetic fields from the electron distribution function. If sufficiently accurate, the latter would allow to analyse finer kinetic phenomena such as instabilities in plasma. The choice among existing models is thus dictated by a compromise between their precision and the efficiency of their numerical implementation. In this paper, a first order deterministic scheme is proposed for one such model that overcomes the difficulties appearing in previous implementations.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 35L65 | Hyperbolic conservation laws |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
Keywords:
inertial confinement fusion; multi-scale physics; deterministic solver; electron kinetic model; hyperbolic system; stationary solutionsReferences:
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