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Related papers: Aspect ratio dependence in magnetorotational insta…

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We study the dynamo generation (exponential growth) of large scale (planar averaged) fields in unstratified shearing box simulations of the magnetorotational instability (MRI). In contrast to previous studies restricted to horizontal…

High Energy Astrophysical Phenomena · Physics 2016-08-17 Pallavi Bhat , Fatima Ebrahimi , Eric G. Blackman

We perform 3D vertically-stratified local shearing-box ideal MHD simulations of the magnetorotational instability (MRI) that include a net vertical magnetic flux, which is characterized by beta_0 (ratio of gas pressure to magnetic pressure…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Xue-Ning Bai , James M. Stone

In astrophysics, turbulent diffusion is often used in place of microphysical diffusion to avoid resolving the small scales. However, we expect this approach to break down when time and length scales of the turbulence become comparable with…

Solar and Stellar Astrophysics · Physics 2014-09-05 M. S. Väisälä , A. Brandenburg , Dhrubaditya Mitra , P. J. Käpylä , M. J. Mantere

In search for the cheapest but still reliable numerical simulation, a systematic study on the effect of the computational domain ("box") size on direct numerical simulations of Taylor-Couette flow was performed. Four boxes, with varying…

Fluid Dynamics · Physics 2017-04-25 Rodolfo Ostilla Mónico , Roberto Verzicco , Detlef Lohse

Simulations of astrophysical disks in the shearing box that are subject to the magnetorotational instability (MRI) show that activity appears to be reduced as the magnetic Prandtl number (Pm) is lowered. On the other hand, calculations for…

Solar and Stellar Astrophysics · Physics 2015-05-18 O. M. Umurhan

We present local numerical models of accretion disk turbulence driven by the magnetorotational instability with varying shear rate. The resulting turbulent stresses are compared with predictions of a closure model in which triple…

Astrophysics · Physics 2009-01-17 A. J. Liljeström , M. J. Korpi , P. J. Käpylä , A. Brandenburg , W. Lyra

We present a thorough numerical study on the MRI using the smoothed particle magnetohydrodynamics method (SPMHD) with the geometric density average force expression (GDSPH). We perform shearing box simulations with different initial setups…

Astrophysics of Galaxies · Physics 2022-03-14 R. Wissing , S. Shen , J. Wadsley , T. Quinn

We develop a framework for magnetohydrodynamical (MHD) simulations in a local cylindrical shearing box by extending the formulation of the Cartesian shearing box. We construct shearing-periodic conditions at the radial boundaries of a…

High Energy Astrophysical Phenomena · Physics 2019-10-23 Takeru K. Suzuki , Tetsuo Taki , Scott S. Suriano

We study the stability properties of Rayleigh unstable flows both in the purely hydrodynamic and magnetohydrodynamic (MHD) regimes for two different values of the shear $q=2.1, 4.2$ ($q = - d\ln\Omega / d\ln r$) and compare it with the…

Solar and Stellar Astrophysics · Physics 2021-09-08 Farrukh Nauman , Eric G. Blackman

We study the effect of rotation on sheared turbulence, due to differential rotation. By solving quasi-linear equations for the fluctuating fields, we derive turbulence amplitude and turbulent transport coefficients, taking into account the…

Astrophysics · Physics 2008-11-26 Nicolas Leprovost , Eun-Jin Kim

We present global 3D MHD simulations of disks of gas and solids, aiming at developing models that can be used to study various scenarios of planet formation and planet-disk interaction in turbulent accretion disks. A second goal is to show…

Astrophysics · Physics 2009-11-13 W. Lyra , A. Johansen , H. Klahr , N. Piskunov

The dynamics of dilute micron-sized spherical inertial particles in turbulent duct flows is studied by means of direct numerical simulations of the carrier phase turbulence with one-way coupled Lagrangian particles. The geometries are a…

Fluid Dynamics · Physics 2016-12-06 Azad Noorani , Ricardo Vinuesa , Luca Brandt , Philipp Schlatter

Simulations of the magnetorotational instability (MRI) in 'unstratified' shearing boxes exhibit powerful coherent flows, whereby the fluid vertically splits into countermoving planar jets or `channels'. Channel flows correspond to certain…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Henrik N. Latter , Sebastien Fromang , Oliver Gressel

The magnetorotational instability (MRI) is the leading candidate for driving turbulence, angular momentum transport, and accretion in astrophysical disks. I consider the linear theory of the MRI in a thin, equatorial disk in the Kerr…

Astrophysics · Physics 2009-11-10 Charles F. Gammie

We investigate stochastic particle acceleration in accretion flows. It is believed that the magnetorotational instability (MRI) generates turbulence inside accretion flows and that cosmic rays (CRs) are accelerated by the turbulence. We…

High Energy Astrophysical Phenomena · Physics 2016-05-25 Shigeo S. Kimura , Kenji Toma , Takeru K. Suzuki , Shu-ichiro Inutsuka

We compare transport statistics of elongated incompressible shearing boxes for different Reynolds and magnetic Prandtl numbers, $Re$ and $Pm$, and aspect ratios, $L_z/L_x$. We find that at fixed aspect ratio $L_z/L_x=4$ and $Re = 10,000$,…

Solar and Stellar Astrophysics · Physics 2019-09-11 Farrukh Nauman , Martin E. Pessah

The stresses produced by magnetorotational turbulence can provide effective angular momentum transport in accretion disks. However, questions remain about the ability of simulated disks to reproduce observationally inferred…

High Energy Astrophysical Phenomena · Physics 2015-06-19 E. R. Parkin

We provide a consistent theory of turbulence in the presence of shear and rotation. Starting from a quasi-linear equation for the fluctuating fields, we derive turbulence amplitude and turbulent transport coefficients, taking into account…

Fluid Dynamics · Physics 2009-11-13 Nicolas Leprovost , Eun-Jin Kim

(abridged) We apply a second-order Godunov code, Athena, to studies of the magnetorotational instability using unstratified shearing box simulations with a uniform net vertical field and a sinusoidally varying zero net vertical field. The…

Astrophysics · Physics 2008-12-18 Jacob B. Simon , John F. Hawley , Kris Beckwith

The saturation level of the magnetorotational instability (MRI) is investigated using three-dimensional MHD simulations. The shearing box approximation is adopted and the vertical component of gravity is ignored, so that the evolution of…

Astrophysics · Physics 2009-11-10 Takayoshi Sano , Shu-ichiro Inutsuka , Neal J. Turner , James M. Stone