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Related papers: Linear and nonlinear evolution of the vertical she…

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We study the stability of poloidal magnetic fields anchored in a thin accretion disc. The two-dimensional hydrodynamics in the disc plane is followed by a grid-based numerical simulation including the vertically integrated magnetic forces.…

Astrophysics · Physics 2015-06-24 R. Stehle , H. C. Spruit

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

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

We present the results of non linear, hydrodynamic simulations, in three dimensions, of the tidal perturbation of accretion discs in binary systems where the orbit is circular and not necessarily coplanar with the disc mid-plane. The…

Astrophysics · Physics 2015-06-24 J. D. Larwood , R. P. Nelson , J. C. B. Papaloizou , C. Terquem

A viscous instability in shearing laminar axisymmetric hydrodynamic flows around a gravitating center is described. In the linearized hydrodynamic equations written in the Boussinesq approximation with microscopic molecular transport…

High Energy Astrophysical Phenomena · Physics 2015-03-18 Nikolai Shakura , Konstantin Postnov

We revisit the global linear theory of the vertical shear instability (VSI) in protoplanetary discs with an imposed radial temperature gradient. We focus on the regime in which the VSI has the form of a travelling inertial wave that grows…

Earth and Planetary Astrophysics · Physics 2025-01-24 Gordon I. Ogilvie , Henrik N. Latter , Geoffroy Lesur

The stability of a rotating fluid disk to the formation of spiral arms is studied in the tightwinding approximation in the linear regime. The dispersion relation for spirals that was derived by Bertin et al. is shown to contain a new,…

Astrophysics · Physics 2009-10-31 L. E. Montenegro , C. Yuan , B. G. Elmegreen

The Rossby wave instability, associated with density bumps in differentially rotating discs, may arise in several different astrophysical contexts, such as galactic or protoplanetary discs. While the linear phase of the instability has been…

Solar and Stellar Astrophysics · Physics 2015-06-12 H. Meheut , R. V. E. Lovelace , D. Lai

The stress evolution process is taken into account in the linear stability analysis of standard thin accretion discs. We find that the growth rate of thermally unstable modes can decrease significantly owing to the stress delay, which may…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Da-Bin Lin , Wei-Min Gu , Ju-Fu Lu

In this paper, we extend our previous analysis (Lodato & Rice 2004) of the transport properties induced by gravitational instabilities in cooling, gaseous accretion discs to the case where the disc mass is comparable to the central object.…

Astrophysics · Physics 2009-11-10 G. Lodato , W. K. M. Rice

The treatment of mixing processes is still one of the major uncertainties in 1D stellar evolution models. This is mostly due to the need to parametrize and approximate aspects of hydrodynamics in hydrostatic codes. In particular, the effect…

Solar and Stellar Astrophysics · Physics 2017-08-02 Philipp V. F. Edelmann , Friedrich K. Roepke , Raphael Hirschi , Cyril Georgy , Samuel Jones

We address the cosmological evolution of violent gravitational instability in high-redshift, massive, star-forming galactic discs. To this aim, we integrate in time the equations of mass and energy conservation under self-regulated…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Marcello Cacciato , Avishai Dekel , Shy Genel

We numerically study the tidal instability of accretion discs in close binary systems using a two-dimensional SPH code. We find that the precession rate of tidally unstable, eccentric discs does not only depend upon the binary mass ratio q.…

Astrophysics · Physics 2009-10-30 James Murray

We present 2D, ideal-MHD numerical simulations of the Parker instability in a multi-component warm disk model. The calculations were done using two numerical codes with different algorithms, TVD and ZEUS-3D. The outcome of the numerical…

Astrophysics · Physics 2009-10-31 Alfredo Santillan , Jongsoo Kim , Jose Franco , Marco Martos , S. S. Hong , Dongsu Ryu

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and…

Astrophysics · Physics 2007-05-23 A. V. Khoperskov , S. S. Khrapov

The Vertical Shear Instability is an axisymmetric effect suggested to drive turbulence in the magnetically inactive zones of protoplanetary accretion disks. Here we examine its physical mechanism in analytically tractable ``minimal models"…

Earth and Planetary Astrophysics · Physics 2022-01-26 Ron Yellin-Bergovoy , Eyal Heifetz , Orkan M. Umurhan

In this paper we analyse the propagation of warps in protostellar circumbinary discs. We use these systems as a test environment in which to study warp propagation in the bending-wave regime, with the addition of an external torque due to…

Solar and Stellar Astrophysics · Physics 2015-06-16 Stefano Facchini , Giuseppe Lodato , Daniel J. Price

Motivated by the recent results of \citet{Lesur_Ogilvie10} on the transport properties of incompressible convection in protoplanetary discs, in this paper we study the role of compressibility and hence of another basic mode -- spiral…

Solar and Stellar Astrophysics · Physics 2015-05-28 G. R. Mamatsashvili , W. K. M. Rice

We present the results of 2D and 3D hydrodynamic simulations of idealized protoplanetary discs that examine the formation and evolution of vortices by the vertical shear instability (VSI). In agreement with recent work, we find that discs…

Earth and Planetary Astrophysics · Physics 2016-03-01 Samuel Richard , Richard P. Nelson , Orkan M. Umurhan

We report the finding of a linear, non-axisymmetric, global instability in gas discs around stars, which may be relevant to other astrophysical discs. It takes the form of an $m=1$ mode that grows in the disc density distribution while the…