Local numerical simulations of warped discs
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Publication Date
2019-03Journal Title
Monthly Notices of the Royal Astronomical Society
ISSN
0035-8711
Publisher
Oxford University Press (OUP)
Volume
483
Issue
3
Pages
3738-3753
Type
Article
This Version
AM
Metadata
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Paardekooper, S., & Ogilvie, G. (2019). Local numerical simulations of warped discs. Monthly Notices of the Royal Astronomical Society, 483 (3), 3738-3753. https://doi.org/10.1093/mnras/sty3349
Abstract
We study the hydrodynamical stability of the laminar flows associated with warped astrophysical discs using numerical simulations of warped shearing boxes. We recover linear growth rates reported previously due to a parametric resonance of inertial waves, and show that the nonlinear saturated state can significantly reduce the laminar flows, meaning that the warp would evolve on much longer time scales than would be concluded from the internal torques due to these laminar flows. Towards larger warp amplitudes, we find first of all a reversal of angular momentum flux, indicating that the mass distribution would evolve in an anti-diffusive manner, and second that the linear growth rates disappear, possibly because of the very strong shear in the laminar flows in this regime. For discs with small enough viscosity, a nonlinear state can still be found when linear growth rates are absent by introducing a large enough perturbation, either by starting from a nonlinear state obtained at smaller warp amplitude, or by starting from a state with no laminar flows.
Sponsorship
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/L000636/1)
Identifiers
External DOI: https://doi.org/10.1093/mnras/sty3349
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288338
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http://www.rioxx.net/licenses/all-rights-reserved
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