Hannover 2020 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P 5: Poster Session 1
P 5.30: Poster
Montag, 9. März 2020, 16:30–18:30, Empore Lichthof
Hybrid kinetic-MHD simulations using structure-preserving numerical methods — •Florian Holderied1,2, Stefan Possanner1,2, Ahmed Ratnani3, and Xin Wang1 — 1Max Planck Institute for Plasma Physics, Boltzmannstrasse 2, 85748 Garching, Germany — 2Technical University of Munich, Arcisstraße 21, 80333 München, Germany — 3Mohammed VI Polytechnic University, Lot 660, Hay Moulay Rachid Ben Guerir, 43450, Morocco
Classical numerical methods do generally not guarantee anything about the preservation of invariants the simulated model, i.e. the set of partial differential equations, possesses on the continuous level, e.g. conservation of energy or the two divergence constraints arising in electrodynamics, ∇·E=ρ/є0 and ∇·B=0. However, as shown by Arnold, Falk and Winther (2010), the preservation of such invariants goes hand in hand with numerical stability. In order to ensure this especially for long-term simulations deep into the nonlinear phase, the preservation of such invariants can be very helpful. The goal of the present work is to explore the usage of numerical methods which are mostly related to finite element exterior calculus (FEEC) with the aim to preserve as many properties of the continuous model as possible. From a physics point of view, the model of interest is the nonlinear coupling of the linearized ideal magnetohydrodynamics (MHD) equations to a kinetic equation (either full-orbit or reduced Vlasov equation). Such hybrid fluid-kinetic models are a suitable way to describe the self-consistent interaction of a thermal fluid bulk plasma with an ensemble of energetic particles, e.g. fusion-born alpha-particles in nuclear fusion devices.