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dc.contributor.authorDeng, H
dc.contributor.authorOgilvie, GI
dc.date.accessioned2022-03-28T23:30:49Z
dc.date.available2022-03-28T23:30:49Z
dc.date.issued2022
dc.identifier.issn0035-8711
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/335456
dc.description.abstract<jats:title>ABSTRACT</jats:title> <jats:p>The non-linear behaviour of low-viscosity warped discs is poorly understood. We verified a non-linear bending-wave theory, in which fluid columns undergo affine transformations, with direct 3D hydrodynamical simulations. We employed a second-order Godunov-type scheme, meshless finite mass (MFM), and also the smoothed particle hydrodynamics (SPH) method, with up to 128 million particles. For moderate non-linearity, MFM maintains well the steady non-linear warp predicted by the affine model for a tilted inviscid disc around a central object with a quadrupole moment. However, numerical dissipation in SPH is so severe that even a low-amplitude non-linear warp degrades at a resolution where MFM performs well. A low-amplitude arbitrary warp tends to evolve towards a non-linear steady state. However, no such state exists in our thin disc with an angular semithickness H/R = 0.02 when the outer tilt angle is beyond about 14°. The warp breaks tenuously and reconnects in adiabatic simulations, or breaks into distinct annuli in isothermal simulations. The breaking radius lies close to the location with the most extreme non-linear deformation. Parametric instability is captured only in our highest resolution simulation, leading to ring structures that may serve as incubators for planets around binaries.</jats:p>
dc.publisherOxford University Press (OUP)
dc.rightsAll Rights Reserved
dc.rights.urihttp://www.rioxx.net/licenses/all-rights-reserved
dc.titleNon-linear behaviour of warped discs around a central object with a quadrupole moment
dc.typeArticle
dc.publisher.departmentDepartment of Applied Mathematics And Theoretical Physics
dc.date.updated2022-03-28T06:49:51Z
prism.publicationNameMonthly Notices of the Royal Astronomical Society
dc.identifier.doi10.17863/CAM.82885
dcterms.dateAccepted2022-03-24
rioxxterms.versionofrecord10.1093/mnras/stac858
rioxxterms.versionAM
dc.contributor.orcidOgilvie, Gordon [0000-0002-7756-1944]
dc.identifier.eissn1365-2966
rioxxterms.typeJournal Article/Review
pubs.funder-project-idSTFC (ST/T00049X/1)
cam.issuedOnline2022-03-30
cam.orpheus.successTue Apr 12 08:22:52 BST 2022 - Embargo updated
cam.depositDate2022-03-28
pubs.licence-identifierapollo-deposit-licence-2-1
pubs.licence-display-nameApollo Repository Deposit Licence Agreement
rioxxterms.freetoread.startdate2022-03-30


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