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Self-gravity becomes competitive as an angular momentum transport process in accretion discs at large radii, where the temperature is low enough that external irradiation likely contributes to the thermal balance. Irradiation is known to…

Solar and Stellar Astrophysics · Physics 2015-05-30 W. K. M. Rice , P. J. Armitage , G. R. Mamatsashvili , G. Lodato , C. J. Clarke

It has already been shown, using a local model, that accretion discs with cooling times t_cool <= 3 Omega^-1 fragment into gravitationally bound objects, while those with cooling times t_cool > 3 Omega^-1 evolve into a quasi-steady state.…

Astrophysics · Physics 2007-05-23 W. K. M. Rice , P. J. Armitage , I. A. Bonnell , M. R. Bate

We carry out simulations of gravitationally unstable discs using a Smoothed Particle Hydrodynamics (SPH) code and a grid-based hydrodynamics code, FARGO, to understand the previous non-convergent results reported by Meru & Bate (2011a). We…

Earth and Planetary Astrophysics · Physics 2015-06-11 Farzana Meru , Matthew R. Bate

A new computationally efficient method has been introduced to treat self-gravity in mesh based hydrodynamical simulations. It is applied simply by slightly modifying the Poisson equation into an inhomogeneous wave equation. This roughly…

Instrumentation and Methods for Astrophysics · Physics 2016-04-20 Ryosuke Hirai , Hiroki Nagakura , Hirotada Okawa , Kotaro Fujisawa

We present a new implementation of the SFUMATO code, called SFUMATO#, for solving self-gravitational radiation hydrodynamics problems using adaptive mesh refinement (AMR) with the CUDA/HIP programming frameworks. The code incorporates a…

Astrophysics of Galaxies · Physics 2026-05-22 Hajime Fukushima , Tomoaki Matsumoto

Modeling self-gravity of collisionless fluids (e.g. ensembles of dark matter, stars, black holes, dust, planetary bodies) in simulations is challenging and requires some force softening. It is often desirable to allow softenings to evolve…

Astrophysics of Galaxies · Physics 2025-12-22 Philip F. Hopkins , Ethan O. Nadler , Michael Y. Grudic , Xuejian Shen , Isabel Sands , Fangzhou Jiang

A method of adapting smoothed particle hydrodynamics (SPH) with periodic boundary conditions for use with the special purpose device GRAPE is presented. GRAPE (GRAvity PipE) solves the Poisson and force equations for an N-body system by…

Astrophysics · Physics 2015-06-24 Ralf Klessen

We propose a framework for understanding the fragmentation criterion for self-gravitating discs which, in contrast to studies that emphasise the `gravoturbulent' nature of such discs, instead focuses on the properties of their quasi-regular…

Solar and Stellar Astrophysics · Physics 2015-06-09 Matthew D. Young , Cathie J. Clarke

In this paper, the effect of self-gravity on the protoplanetary discs is investigated. The mechanisms of angular momentum transport and energy dissipation are assumed to be the viscosity due to turbulence in the accretion disc. The energy…

Solar and Stellar Astrophysics · Physics 2012-05-11 Kazem Faghei

We analyze a suite of global magnetohydrodynamic (MHD) accretion disk simulations in order to determine whether scaling laws for turbulence driven by the magnetorotational instability, discovered via local shearing box studies, are globally…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Kareem A. Sorathia , Christopher S. Reynolds , Philip J. Armitage

A new one-dimensional, dynamical model is proposed for geometrically thin, self-gravitating viscous accretion discs. The vertically integrated equations are simplified using the slow accretion limit and the monopole approximation with a…

Astrophysics of Galaxies · Physics 2015-04-30 Tobias F. Illenseer , Wolfgang J. Duschl

A new numerical code, called SFUMATO, for solving self-gravitational magnetohydrodynamics (MHD) problems using adaptive mesh refinement (AMR) is presented. A block-structured grid is adopted as the grid of the AMR hierarchy. The total…

Astrophysics · Physics 2015-06-24 Tomoaki Matsumoto

General-purpose, moving-mesh schemes for hydrodynamics have opened the possibility of combining the accuracy of grid-based numerical methods with the flexibility and automatic resolution adaptivity of particle-based methods. Due to their…

Earth and Planetary Astrophysics · Physics 2015-06-22 Diego J. Munoz , Kaitlin M. Kratter , Volker Springel , Lars Hernquist

We present high-resolution computer simulations of dust dynamics and planetesimal formation in turbulence generated by the magnetorotational instability. We show that the turbulent viscosity associated with magnetorotational turbulence in a…

Earth and Planetary Astrophysics · Physics 2015-05-20 Anders Johansen , Hubert Klahr , Thomas Henning

The issue of fragmentation in self-gravitating gaseous accretion discs has implications both for the formation of stars in discs in the nuclei of active galaxies, and for the formation of gaseous planets or brown dwarfs in circumstellar…

Astrophysics · Physics 2009-11-13 W. K. M. Rice , G. Lodato , P. J. Armitage

We study particle dynamics in local two-dimensional simulations of self-gravitating accretion discs with a simple cooling law. It is well known that the structure which arises in the gaseous component of the disc due to a gravitational…

Earth and Planetary Astrophysics · Physics 2015-06-05 P. G. Gibbons , W. K. M. Rice , G. R. Mamatsashvili

Most of our knowledge on the nonlinear development of the magneto-rotational instability (MRI) relies on the results of numerical simulations employing the shearing box (SB) approximation. A number of difficulties arising from this approach…

Astrophysics · Physics 2009-11-13 O. Regev , O. M. Umurhan

Using a version of the ZEUS code, we carry out two-dimensional simulations of self-gravitating shearing sheets, with application to QSO accretion disks at a few thousand Schwarzschild radii, corresponding to a few hundredths of a parsec for…

High Energy Astrophysical Phenomena · Physics 2011-03-04 Yanfei Jiang , Jeremy Goodman

In 2D simulations of thin gaseous disks with embedded planets or self-gravity the gravitational potential needs to be smoothed to avoid singularities in the numerical evaluation of the gravitational potential or force. In order to correctly…

Earth and Planetary Astrophysics · Physics 2012-05-14 T. W. A. Müller , W. Kley , F. Meru

Using a local model Gammie (2001) has shown that accretion discs with cooling times t_cool <= 3/Omega fragment into gravitationally bound objects, while those with cooling times t_cool > 3/Omega evolve into a quasi-steady state. We use…

Astrophysics · Physics 2009-11-07 W. K. M. Rice , P. J. Armitage , M. R. Bate , I. A. Bonnell