Universität Augsburg

Professor Dr. Claudia Negulesco
l'Université Paul Sabatier
spricht am
Donnerstag, 25. Mai 2023
um
15:45 Uhr
im
TUM, Boltzmann3, Garching, Raum 03.08.011, Etage 3
über das Thema:
Abstract: 
The main concern of this talk is the presentation of a multiscale numerical scheme for an efficient resolution of the electronion dynamics in thermonuclear fusion plasmas. The starting mathematical model is based on a multispecies FokkerPlanck kinetic model, conserving mass, total momentum and energy, as well as satisfying Boltzmann’s Htheorem. Firstly, an asymptotic limit is performed, letting the electron/ion mass ratio going towards zero, ε>0, in order to obtain a reduced model, consisting of a thermodynamic equilibrium state for the rapid electrons (adiabatic regime), whereas the slow ions remain kinetic. Secondly, we develop a first numerical scheme, based on a Hermite spectral method, and perform numerical simulations to investigate in more details this (kinetic towards macroscopic) asymptotic electron/ion limit. The specificity of this method is the fact that it permits considerable improvements in simulation time for small εvalues, as in such regimes very few Hermite modes have to be taken into account. 
Hierzu ergeht herzliche Einladung. 