Relaxation to magnetohydrodynamics equilibria via collision brackets

Metriplectic dynamics is applied to compute equilibria of fluid dynamical systems. The result is a relaxation method in which Hamiltonian dynamics (symplectic structure) is combined with dissipative mechanisms (metric structure) that relaxes the system to the desired equilibrium point. The specific...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-11, Vol.1125 (1), p.12002
Main Authors: Bressan, C, Kraus, M, Morrison, P J, Maj, O
Format: Article
Language:English
Subjects:
Collision dynamics
Computational fluid dynamics
Equilibrium
Euler-Lagrange equation
Magnetohydrodynamics
Relaxation method (mathematics)
Vorticity
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Summary:Metriplectic dynamics is applied to compute equilibria of fluid dynamical systems. The result is a relaxation method in which Hamiltonian dynamics (symplectic structure) is combined with dissipative mechanisms (metric structure) that relaxes the system to the desired equilibrium point. The specific metric operator, which is considered in this work, is formally analogous to the Landau collision operator. These ideas are illustrated by means of case studies. The considered physical models are the Euler equations in vorticity form, the Grad-Shafranov equation, and force-free MHD equilibria.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1125/1/012002