Dec 12 – 16, 2022
IMT
Europe/Paris timezone

Numerical methods for the Vlasov-Poisson system under the quasi neutral and fluid scalings.

Dec 13, 2022, 9:00 AM
45m
Amphithéâtre Schwartz (IMT)

Amphithéâtre Schwartz

IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

Speaker

Giacomo DIMARCO

Description

In this talk we will discuss the development and the analysis of asymptotic stable and consistent schemes in the joint quasi-neutral and fluid limits for the collisional Vlasov Poisson system. 
We will first introduce the quasi neutral scaling and its formal limit and then we will discuss different numerical approaches based on splitting techniques for dealing with the stiffness of the resulting equations.  
We will then propose a new scheme which is stable for arbitrary choices of the time steps independently from the small scale dynamics and we perform a linear stability analysis.

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