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We implement a local model for a spherical collapsing/expanding gas cloud into the Athena++ magnetohydrodynamic code. This local model consists of a Cartesian periodic box with time-dependent geometry. We present a series of benchmark test…

Solar and Stellar Astrophysics · Physics 2024-07-29 Ziyan Xu , Elliot M. Lynch , Guillaume Laibe

In this paper, we establish the global well-posedness of the incompressible magnetohydrodynamics (MHD) system on $n-$dimensional $(n\geq 2)$ periodic boxes with either no magnetic diffusivity (non-resistive case) or no fluid viscosity…

Analysis of PDEs · Mathematics 2026-02-05 Quansen Jiu , Yaowei Xie , Zhihong Yan

The magnetorotational instability (MRI) is an important process in sufficiently ionized accretion disks, as it can create turbulence that acts as an effective viscosity, mediating angular momentum transport. Due to its local nature, it is…

Earth and Planetary Astrophysics · Physics 2023-09-28 Oliver Zier , Volker Springel

We propose that turbulent heating, wave pressure and gas exchanges between different regions of disks play a dominant role in determining the preferred, quasi-equilibrium, self-similar states of gas disks on large-scales. We present simple…

Astrophysics · Physics 2009-10-31 Curtis Struck , Daniel C. Smith

The dynamical foundations of $\alpha$ disk models are described. At the heart of the viscous formalism of accretion disk models are correlations in the fluctuating components of the disk velocity, magnetic field, and gravitational…

Astrophysics · Physics 2009-10-31 S. A. Balbus , J. C. B. Papaloizou

We numerically evolve turbulence driven by the magnetorotational instability (MRI) in a 3D, unstratified shearing box and study its structure using two-point correlation functions. We confirm Fromang and Papaloizou's result that shearing…

Astrophysics of Galaxies · Physics 2011-02-11 Xiaoyue Guan , Charles F. Gammie , Jacob B. Simon , Bryan M. Johnson

Orbiting disks may exhibit bends due to a misalignment between the angular momentum of the inner and outer regions of the disk. We begin a systematic simulational inquiry into the physics of warped disks with the simplest case: the…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Kareem A. Sorathia , Julian H. Krolik , John F. Hawley

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 our recent work with K. Zumbrun on long-time stability of multi-dimensional noncharacteristic viscous boundary layers of a class of symmetrizable hyperbolic-parabolic systems. Our main improvements are (i) to establish the…

Analysis of PDEs · Mathematics 2008-12-31 Toan Nguyen

We investigate shear and buoyancy instabilities in radially stratified, magnetized, cylindrical flows, for application to magnetocentrifugally driven winds and to magnetized accretion disks. We identify and study nine principal types of…

Astrophysics · Physics 2009-10-31 Woong-Tae Kim , Eve C. Ostriker

Disk accretion onto weakly magnetized objects possessing a material surface must proceed via the so-called boundary layer (BL) - a region at the inner edge of the disk, in which the velocity of accreting material abruptly decreases from its…

High Energy Astrophysical Phenomena · Physics 2021-10-20 Matthew S. B. Coleman , Roman R. Rafikov , Alexander A. Philippov

This paper develops a harmonic-domain framework for systems with variable fundamental frequency. A variable-frequency sliding Fourier decomposition is introduced in the phase domain, together with necessary and sufficient conditions for…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Maxime Grosso , Pierre Riedinger , Jamal Daafouz , Serge Pierfederici , Hicham Janati Idrissi , Blaise Lapôtre

A certain appeal to the alpha model for turbulence and related viscosity in accretion disks was that one scales the Reynolds stresses simply on the thermal pressure, assuming that turbulence driven by a certain mechanism will attain a…

Earth and Planetary Astrophysics · Physics 2021-09-22 Natascha Manger , Thomas Pfeil , Hubert Klahr

Galaxies exhibit a variety of non-axisymmetric structure (bars, spiral structure, lopsided structure, etc.). These suggest the following general problem: what are the possible stationary configurations of a two-dimensional self-gravitating…

Astrophysics · Physics 2015-06-24 Dave Syer , Scott Tremaine

The fluid-structure interaction between a thin circular disk and its turbulent wake is investigated experimentally and described with a low-order stochastic model. The disk faces a uniform flow at Reynolds number Re=133 000 and can rotate…

Fluid Dynamics · Physics 2019-02-20 E. Boujo , O. Cadot

We conduct three-dimensional hydrodynamic simulations to investigate the nonlinear outcomes and observability of vertical shear instability (VSI) in protoplanetary disks. Our models include both vertically isothermal and thermally…

Earth and Planetary Astrophysics · Physics 2024-12-16 Han-Gyeol Yun , Woong-Tae Kim , Jaehan Bae , Cheongho Han

A connection between regular black holes and horizonless ultracompact objects was proposed in~\cite{Carballo-Rubio:2022nuj}. In this paper, we construct a model of a horizonless compact object, specifically an anisotropic gravastar with…

General Relativity and Quantum Cosmology · Physics 2024-11-20 M. F. Fauzi , H. S. Ramadhan , A. Sulaksono

Dynamic shear banding under adiabatic conditions in a mesoscale polycrystalline aggregate is studied using a model of mesoscale dislocation mechanics and experiments. The model involves a length scale related to hardening induced by…

We present an implementation of the Schwarzschild orbit superposition method which can be used for constructing self-consistent equilibrium models of barred or non-barred disc galaxies, or of elliptical galaxies with figure rotation. This…

Astrophysics of Galaxies · Physics 2015-05-14 Eugene Vasiliev , E. Athanassoula

We present a systematic shearing-box investigation of MRI-driven turbulence in a weakly collisional plasma by including the effects of an anisotropic pressure stress, i.e. anisotropic (Braginskii) viscosity. We constrain the pressure…

High Energy Astrophysical Phenomena · Physics 2019-05-01 Philipp Kempski , Eliot Quataert , Jonathan Squire , Matthew W. Kunz