Linear and non-linear evolution of the vertical shear instability in accretion discs

RP Nelson, O Gressel… - Monthly Notices of the …, 2013 - academic.oup.com
… Growth of the instability is favoured when the thermodynamic response of the gas is … instability.
The one 3D simulation we present suggests that non-linear development of the instability

[PDF][PDF] Linear and non-linear evolution of the vertical shear instability in accretion discs (vol 435, pg 2610, 2013)

RP Nelson, O Gressel, OM Umurhan - MONTHLY NOTICES OF …, 2016 - qmro.qmul.ac.uk
… Growth of the instability is favoured when the thermodynamic response of the gas is … instability.
The one 3D simulation we present suggests that non-linear development of the instability

Magnetic and vertical shear instabilities in accretion discs

V Urpin, A Brandenburg - Monthly Notices of the Royal …, 1998 - academic.oup.com
… of a magnetic field, instability associated with vertical shear may be … the linear stability
properties of magnetized discs with … This problem requires fully non-linear, three-dimensional …

Vertical shear instability in accretion discs

S Kumar, CS Coleman - Monthly Notices of the Royal …, 1993 - academic.oup.com
… The principal conclusion of this work is that a twodimensional linear shear layer, with the
vertical density structure of … The non-linear development may lead to the violent disruption of the …

Non-linear hydrodynamic instability and turbulence in eccentric astrophysical discs with vertical structure

AF Wienkers, GI Ogilvie - Monthly Notices of the Royal …, 2018 - academic.oup.com
Non-linear evolution of the parametric instability of … linear perturbation theory, numerical
models become an irreplaceable tool for studying the non-linear dynamics of these accretion

Non-linear evolution of thermally unstable slim accretion discs with a diffusive form of viscosity

E Szuszkiewicz, JC Miller - Monthly Notices of the Royal …, 2001 - academic.oup.com
… how the global evolution of the thermal instability driven by … it involves taking graphic to
depend linearly on z/H (which … rapid dynamic changes in the vertical direction such as those …

The non-linear fluid dynamics of a warped accretion disc

GI Ogilvie - Monthly Notices of the Royal Astronomical Society, 1999 - academic.oup.com
… This method generalizes the linear theory of Papaloizou & … can be neglected and the evolution
is dominated by viscous fluid … If the instability does proceed, then ν 1 and ν 2 are subject to …

On the vertical-shear instability in astrophysical discs

AJ Barker, HN Latter - Monthly Notices of the Royal Astronomical …, 2015 - academic.oup.com
linear stability of astrophysical discs exhibiting vertical shear, … we also speculate on the
non-linear evolution of the VSI and … Though accretion discs are stable according to the classical …

Magnetic shear-flow instability in thin accretion discs

G Rüdiger, L Primavera, R Arlt… - Monthly Notices of the …, 1999 - academic.oup.com
… is linear, it is worth analysing the efficacy of the instability for … only these modes could
excite, in a non-linear regime, a self-… in view of a possible non-linear extension of the code for …

Non-linear fluid dynamics of eccentric discs

GI Ogilvie - Monthly Notices of the Royal Astronomical Society, 2001 - academic.oup.com
… arise spontaneously through instabilities of an initially flat disc. … accretion disc will be
developed, consisting of a fully … simplified model (two-dimensional, linear and barotropic) that is …