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Related papers: Self-gravity in thin protoplanetary discs: 1. The …

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The Gravitational Instability (GI) is a leading theory for explaining early planet formation in massive discs. In the early 2010s, 3D SPH simulations of GI failed to converge, initially attributed to resolution-dependent viscosity but later…

Earth and Planetary Astrophysics · Physics 2026-05-14 S. Rendon Restrepo

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

To mimic protoplanetary discs (PPDs) evolution, 2D simulations with self-gravity must introduce a softening prescription of the gravitational potential. When the disc is only made of gas the smoothing length is proportional to the gas scale…

Earth and Planetary Astrophysics · Physics 2023-07-12 Steven Rendon Restrepo , Pierre Barge

A thin gaseous disk has often been investigated in the context of various phenomena in galaxies, which point to the existence of starburst rings and dense circumnuclear molecular disks. The effect of self-gravity of the gas in the 2D disk…

Mathematical Physics · Physics 2012-10-09 C. C. Yen , R. E. Taam , Ken H. C. Yeh , K. C. Chang

Linear perturbation is used to investigate the effect of gravitational softening on the retrieved two-armed spiral eigenmodes of razor-thin stellar discs. We explore four softening kernels with different degrees of gravity bias, and…

Astrophysics of Galaxies · Physics 2019-02-27 Sven De Rijcke , Jean-Baptiste Fouvry , Walter Dehnen

In 2D-simulations of self-gravitating gaseous discs, the potential is often computed in the framework of "softened gravity" initially designed for N-body codes. In this special context, the role of the softening length LAMBDA is twofold: i)…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Jean-Marc Huré , Arnaud Pierens

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

We aim to develop a simple prescription for migration and accretion in 1D disc models, calibrated with results of 3D hydrodynamic simulations. Our focus lies on non-self-gravitating discs, but we also discuss to what degree our prescription…

Earth and Planetary Astrophysics · Physics 2022-11-28 Oliver Schib , Christoph Mordasini , Ravit Helled

The "point mass singularity" inherent in Newton's law for gravitation represents a major difficulty in accurately determining the potential and forces inside continuous bodies. Here we report a simple and efficient analytical method to…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Jean-Marc Huré , Andreas Dieckmann

Massive circumstellar disks are prone to gravitational instabilities, which trigger the formation of spiral arms that can fragment into bound clumps under the right conditions. Two dimensional simulations of self-gravitating disks are…

Earth and Planetary Astrophysics · Physics 2017-10-11 Hans Baehr , Hubert Klahr , Kaitlin M. Kratter

We use smoothed particle hydrodynamics simulations of massive protostellar discs to investigate the predicted broadening of molecular lines from discs in which self-gravity is the dominant source of angular momentum transport. The…

Solar and Stellar Astrophysics · Physics 2015-06-11 Duncan H. Forgan , Philip J. Armitage , Jacob B. Simon

We study particle dynamics in self-gravitating gaseous discs with a simple cooling law prescription via two-dimensional simulations in the shearing sheet approximation. It is well known that structures arising in the gaseous component of…

Earth and Planetary Astrophysics · Physics 2015-06-19 P. G. Gibbons , G. R. Mamatsashvili , W. K. M. Rice

We extend the work of Yen et al. (2012) and develop 2nd order formulae to accommodate a nested grid discretization for the direct self-gravitational force calculation for infinitesimally thin gaseous disks. This approach uses a…

Instrumentation and Methods for Astrophysics · Physics 2016-06-08 Hsiang-Hsu Wang , Ronald E. Taam , David C. C. Yen

(highly abridged) We define three requirements for accurate simulations that attempt to model circumstellar disks and the formation of collapsed objects (e.g. planets) within them. First, we define a resolution requirement based on the…

Astrophysics · Physics 2009-11-11 Andrew F. Nelson

We investigate the formation process of self-gravitating protoplanetary disks in unmagnetized molecular clouds. The angular momentum is redistributed by the action of gravitational torques in the massive disk during its early formation. We…

Solar and Stellar Astrophysics · Physics 2015-06-15 Sanemichi Z. Takahashi , Shu-ichiro Inutsuka , Masahiro N. Machida

The local character of self-gravity along with the number of spatial dimensions are critical issues when computing the potential and forces inside massive systems like stars and disks. This appears from the discretisation scale where each…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Jean-Marc Huré , Audrey Trova , Franck Hersant

Characterizing turbulence in protoplanetary disks is crucial for understanding how they accrete and spawn planets. Recent measurements of spectral line broadening promise to diagnose turbulence, with different lines probing different…

Earth and Planetary Astrophysics · Physics 2015-06-19 Ji-Ming Shi , Eugene Chiang

Effects of gravitational softening on the global structure of self-gravitating disks in centrifugal equillibrium are examined in relation to hydrodynamical/gravitational simulations. The one-parameter spline softening proposed by Hernquist…

Astrophysics · Physics 2020-11-25 Jesper Sommer-Larsen , Henrik Vedel , Uffe Hellsten

Planet--disc interactions, despite being fundamentally three-dimensional, are often studied in the two-dimensional `thin-disk' approximation. The overall morphology of planet--disc interactions has ben shown to be similar in both 2D and 3D…

Earth and Planetary Astrophysics · Physics 2025-10-29 Amelia J. Cordwell , Alexandros Ziampras , Joshua J. Brown , Roman R. Rafikov

We have investigated the properties of gravito-turbulent discs in 3D using high-resolution shearing-box simulations. For large enough domain sizes, $L_y \gtrsim 60H$, the disc settles down into a quasi-steady state, showing no long term…

Earth and Planetary Astrophysics · Physics 2018-12-26 Richard A. Booth , Cathie J. Clarke
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