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Related papers: Treating gravity in thin disk simulations

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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

Planet-forming discs often contain structures like spiral arms, typically linked to the disc's gravitational forces. In 2D models, an ad hoc softening prescription is commonly used for self-gravity, but this overlooks the vertical…

Earth and Planetary Astrophysics · Physics 2026-02-25 S. Rendon Restrepo , T. Rometsch , U. Ziegler , O. Gressel

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

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

(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

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 present the results of our recent study on the interactions between a giant planet and a self-gravitating gas disk. We investigate how the disk's self-gravity affects the gap formation process and the migration of the giant planet. Two…

Earth and Planetary Astrophysics · Physics 2015-06-18 Hui Zhang , Huigen Liu , Ji-Lin Zhou , Robert A. Wittenmyer

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 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

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

Numerical simulations of global three-dimensional (3D), self-gravitating discs with a gap opened by an embedded planet are presented. The simulations are customised to examine planetary gap stability. Previous results, obtained by Lin &…

Earth and Planetary Astrophysics · Physics 2015-06-05 Min-Kai Lin

Two questions that naturally arise in N-body simulations of stellar systems are: (1) How can we compare experiments that employ different types of softened gravity? (2) Given a particular type of softened gravity, which choices of the…

Astrophysics · Physics 2007-05-23 Alessandro B. Romeo

Low mass, self-gravitating accretion disks admit quasi-steady,`gravito-turbulent' states in which cooling balances turbulent viscous heating. However, numerical simulations show that gravito-turbulence cannot be sustained beyond dynamical…

Earth and Planetary Astrophysics · Physics 2016-06-22 Min-Kai Lin , Kaitlin M. Kratter

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

(Abridged) We present global disc and local shearing box simulations of planets interacting with a MHD turbulent disc. We examine the torque exerted by the disc on the embedded planets as a function of planet mass, and thus make a first…

Astrophysics · Physics 2008-11-26 Richard P. Nelson , John C. B. Papaloizou

We present a new systematic way of setting up galactic gas disks based on the assumption of detailed hydrodynamic equilibrium. To do this, we need to specify the density distribution and the velocity field which supports the disk. We first…

Astrophysics of Galaxies · Physics 2015-05-18 Hsiang-Hsu Wang , Ralf S. Klessen , Cornelis P. Dullemond , Frank C. van den Bosch , Burkhard Fuchs

We perform collisionless N-body simulations to investigate the evolution of the structural and kinematical properties of simulated thick disks induced by the growth of an embedded thin disk. The thick disks used in the present study…

Astrophysics of Galaxies · Physics 2014-11-20 Álvaro Villalobos , Stelios Kazantzidis , Amina Helmi

The local gravitational instability of rotating discs is believed to be an important mechanism in different astrophysical processes, including the formation of gas and stellar clumps in galaxies. We aim to study in three dimensions the…

Astrophysics of Galaxies · Physics 2024-05-24 Carlo Nipoti , Cristina Caprioglio , Cecilia Bacchini

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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