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Turbulence and angular momentum transport in accretion disks remains a topic of debate. With the realization that dead zones are robust features of protoplanetary disks, the search for hydrodynamical sources of turbulence continues. A…

Earth and Planetary Astrophysics · Physics 2015-05-20 W. Lyra , H. Klahr

Different strength of hydrodynamic instability can be induced by the variations in the initial diffusion of shock bubble interaction (SBI), while the influence of hydrodynamic instability on variable-density mixing in SBI remains unclear.…

Fluid Dynamics · Physics 2025-07-03 Xu Han , Bin Yu , Hong Liu

We present here both analytical and numerical results of hydrodynamic stability investigations of rotationally supported circumstellar flows using the shearing box formalism. Asymptotic scaling arguments justifying the shearing box…

Astrophysics · Physics 2009-11-10 O. M. Umurhan , O. Regev

We extend exploration of potential vorticity instabilities in cold astrophysical disks whose mean states are baroclinic. In particular, we seek to demonstrate the potential existence of traditional baroclinic instabilities of meteorological…

Solar and Stellar Astrophysics · Physics 2015-06-04 O. M. Umurhan

Recently, Klahr & Hubbard (2014) claimed that a hydrodynamical linear overstability exists in protoplanetary disks, powered by buoyancy in the presence of thermal relaxation. We analyse this claim, confirming it through rigorous…

Earth and Planetary Astrophysics · Physics 2015-06-19 Wladimir Lyra

Hydrodynamical instabilities in disks around young stars depend on the thermodynamic stratification of the disk and on the local rate of thermal relaxation. Here, we map the spatial extent of unstable regions for the Vertical Shear…

Earth and Planetary Astrophysics · Physics 2019-02-05 Thomas Pfeil , Hubert Klahr

We investigate the 2D instability recently discussed by Gallet et al. (2010) and Ilin \& Morgulis (2013) which arises when a radial crossflow is imposed on a centrifugally-stable swirling flow. By finding a simpler rectilinear example of…

Fluid Dynamics · Physics 2023-07-19 R. R. Kerswell

This paper contains a local linear stability analysis for accretion disks under the influence of a global radial entropy gradient beta = - d log T / d log r for constant surface density. Numerical simulations suggested the existence of an…

Astrophysics · Physics 2009-11-10 Hubert Klahr

The vertical shear instability (VSI) is a hydrodynamical instability likely to produce turbulence in the dead zones of protoplanetary disks. Various aspects of this instability remain to be understood, including the disk regions where it…

Earth and Planetary Astrophysics · Physics 2024-02-19 Julio David Melon Fuksman , Mario Flock , Hubert Klahr

The linear normal-mode stratorotational instability (SRI) is analytically reexamined in the inviscid limit where the length scales of horizontal disturbances are large compared their vertical and radial counterparts. Boundary conditions…

Astrophysics · Physics 2009-11-11 O. M. Umurhan

This letter expands the stability criterion for radially stratified, vertically {unstratified} accretion disks incorporating thermal relaxation. We find a linear amplification of epicyclic oscillations in these disks that depends on the…

Solar and Stellar Astrophysics · Physics 2015-06-19 Hubert Klahr , Alexander Hubbard

Internal waves with frequency larger than twice the local minimum allowable wave frequency can be susceptible to parametric subharmonic instability (PSI). This instability draws energy from the wave and provides a mechanism for generating…

Fluid Dynamics · Physics 2026-05-28 Logan Knudsen , Jacob Wenegrat , James Hilditch , Leif Thomas

We present results from a suite of three-dimensional global hydrodynamic simulations which show that spiral density waves propagating in circumstellar disks are unstable to the growth of a parametric instability that leads to break-down of…

Earth and Planetary Astrophysics · Physics 2016-09-21 Jaehan Bae , Richard P. Nelson , Lee Hartmann , Samuel Richard

The linear stability analysis of a stratified rotating fluid (see paper I) showed that disks with a baroclinic stratification under the influence of thermal relaxation will become unstable to thermal instabilities. One instability is the…

Earth and Planetary Astrophysics · Physics 2023-05-16 Hubert Klahr , Hans Baehr , Julio David Melon Fuksman

By 2D hydrodynamic simulations including a detailed equation of state and neutrino transport, we investigate the interplay between different non-radial hydrodynamic instabilities that play a role during the postbounce accretion phase of…

Astrophysics · Physics 2009-06-23 L. Scheck , H. -Th. Janka , T. Foglizzo , K. Kifonidis

The hydrodynamic stability of accretion disks is considered. The particular question is whether the combined action of a (stable) vertical density stratification and a (stable) radial differential rotation gives rise to a new instability…

Astrophysics · Physics 2016-08-16 G. Rüdiger , R. Arlt , D. Shalybkov

Many dynamical interactions can induce eccentricities in astrophysical accretion disks. Disk eccentricities in turn seed a variety of instabilities, even in ideal hydrodynamics. We use 3D nonlinear simulations and 2+1D linear calculations…

Solar and Stellar Astrophysics · Physics 2025-10-30 Janosz W. Dewberry , Henrik N. Latter , Gordon I. Ogilvie , Sebastien Fromang

The Streaming Instability (SI) is a mechanism to concentrate solids in protoplanetary disks. Nonlinear particle clumping from the SI can trigger gravitational collapse into planetesimals. To better understand the numerical robustness of the…

Earth and Planetary Astrophysics · Physics 2018-08-01 Rixin Li , Andrew N. Youdin , Jacob B. Simon

We studied the linear and nonlinear evolution of the Vertical Shear Instability (VSI) in axisymmetric models of protoplanetary disks, focusing on the transport of angular momentum, the produced temperature perturbations, and the…

Earth and Planetary Astrophysics · Physics 2024-02-19 Julio David Melon Fuksman , Mario Flock , Hubert Klahr

A high resolution fourth-order Pad\'e scheme is used to simulate locally isothermal 3D disk turbulence driven by the vertical shear instability (VSI) using 268.4 M points. In the early non-linear period of axisymmetric VSI, angular momentum…

Solar and Stellar Astrophysics · Physics 2024-12-24 Karim Shariff , Orkan M. Umurhan
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