Modelling and simulating a multispecies plasma

Mehdi Badsi (1) , Maxime Herda (2, 3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 MMCS - Modélisation mathématique, calcul scientifique
3 KALiFFE - Kinetic models AppLIed for Future of Fusion Energy

This paper is devoted to the modelling and numerical simulations of collisionless multispecies plasmas. In the framework of tokamak applications, we detail the dimensional analysis of the coupled kinetic system in order to extract the important parameters of the model. From there, we focus on two asymptotics. We first investigate the implementation of a solver adapted the quasineutral limit in order to deal with large scale simulations. In a second time, we study the massless electron approximation through numerical experiments and question the validity of the usual Maxwell-Boltzmann density approximation.

Mots clés: Vlasov-Poisson; numerical simulations; tokamak plasma; multispecies

Domaines: Analyse numérique [cs.NA]; Equations aux dérivées partielles [math.AP]; Physique des plasmas [physics.plasm-ph]

Mehdi Badsi, Maxime Herda. Modelling and simulating a multispecies plasma. ESAIM: Proceedings and Surveys, 2016, CEMRACS 2014 – Numerical Modeling of Plasmas, 53, pp.22-37. ⟨10.1051/proc/201653002⟩. ⟨hal-01116967v2⟩