Article Dans Une Revue Monthly Notices of the Royal Astronomical Society Année : 2023

Linear and nonlinear eccentric mode evolution in unstratified MHD discs

Résumé

In this paper we develop a framework for studying unstratified, magnetised eccentric discs and compute uniformly precessing eccentric modes in a cylindrical annulus which provide convenient initial conditions for numerical simulations. The presence of a magnetic field in an eccentric disc can be described by an effective gas with a modified equation of state. At magnetic field strengths relevant to the magneto-rotational instability the magnetic field has negligible influence on the evolution of the eccentric disc, however the eccentric disc can significantly enhance the magnetic field strength over that in the a circular disc. We verify the suitability of these eccentric disc solutions by carrying out 2D simulations in RAMSES. Our simulated modes (in 2D) follow a similar evolution to the purely hydrodynamical modes, matching theoretical expectations, provided they are adequately resolved. Such solutions will provide equilibrium states for studies of the eccentric magneto-rotational instability and magnetised parametric instability in unstratified discs and are useful for exploring the response of disc turbulence on top of a fluid flow varying on the orbital timescale.

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hal-04210133 , version 1 (07-02-2024)

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Elliot M Lynch, Janosz W Dewberry. Linear and nonlinear eccentric mode evolution in unstratified MHD discs. Monthly Notices of the Royal Astronomical Society, 2023, 526 (2), pp.2673-2687. ⟨10.1093/mnras/stad2678⟩. ⟨hal-04210133⟩
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