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We investigate numerically the propagation of density waves excited by a low-mass planet in a protoplanetary disk in the nonlinear regime, using 2D local shearing box simulations with the grid-based code Athena at high spatial resolution…

Earth and Planetary Astrophysics · Physics 2015-05-30 Ruobing Dong , Roman R. Rafikov , James M. Stone

Gravitational coupling between protoplanetary discs and planets embedded in them leads to the emergence of spiral density waves, which evolve into shocks as they propagate through the disc. We explore the performance of a semi-analytical…

Earth and Planetary Astrophysics · Physics 2021-09-22 Nicolas P. Cimerman , Roman R. Rafikov

We revisit the idea that density-wave wakes of planets drive accretion in protostellar disks. The effects of many small planets can be represented as a viscosity if the wakes damp locally, but the viscosity is proportional to the damping…

Astrophysics · Physics 2009-10-31 J. Goodman , R. R. Rafikov

Planets embedded in protoplanetary discs are capable of creating a wide variety of substructures through gravitational interactions. This process is mediated through the excitation and damping of density waves which carry angular momentum…

Earth and Planetary Astrophysics · Physics 2026-05-14 Amelia J. Cordwell , Roman R. Rafikov

Protoplanetary disks are the sites of planet formation, and the evolution and eventual dispersal of these disks strongly influences the formation of planetary systems. Disk evolution during the planet-forming epoch is driven by accretion…

Earth and Planetary Astrophysics · Physics 2015-06-17 Richard Alexander , Ilaria Pascucci , Sean Andrews , Philip Armitage , Lucas Cieza

We perform one of the first studies into the nonlinear evolution of tidally excited inertial waves in a uniformly rotating fluid body, exploring a simplified model of the fluid envelope of a planet (or the convective envelope of a…

Earth and Planetary Astrophysics · Physics 2014-03-05 B. Favier , A. J. Barker , C. Baruteau , G. I. Ogilvie

Protoplanetary disks are mainly heated by radiation from the central star. Since the incident stellar flux at any radius is sensitive to the disk structure near that location, an unstable feedback may be present. Previous investigations…

Astrophysics · Physics 2009-11-13 Sei-ichiro Watanabe , D. N. C. Lin

Spiral density waves are known to exist in many astrophysical disks, potentially affecting disk structure and evolution. We conduct a numerical study of the effects produced by a density wave, evolving into a shock, on the characteristics…

Earth and Planetary Astrophysics · Physics 2018-02-28 Lev Arzamasskiy , Roman R. Rafikov

The nonlinear dynamics of a warped accretion disc is investigated in the important case of a thin Keplerian disc with negligible viscosity and self-gravity. A one-dimensional evolutionary equation is formally derived that describes the…

Astrophysics · Physics 2009-11-11 G. I. Ogilvie

We analyze the gravitational collapse of solids subject to gas drag in a protoplanetary disk. We also study the stirring of solids by turbulent fluctuations to determine the velocity dispersion and thickness of the midplane particle layer.…

Astrophysics · Physics 2007-05-23 Andrew N. Youdin

High-resolution imaging of some protoplanetary disks in scattered light reveals presence of the global spiral arms of significant amplitude, likely excited by massive planets or stellar companions. Assuming that these arms are density…

Earth and Planetary Astrophysics · Physics 2016-11-09 Roman R. Rafikov

Protoplanetary disks are quasi-steady structures whose evolution and dispersal determine the environment for planet formation. I review the theory of protoplanetary disk evolution and its connection to observations. Substantial progress has…

Solar and Stellar Astrophysics · Physics 2011-08-25 Philip J. Armitage

Single-armed, stationary density waves can propagate in very weakly self-gravitating gas disks dominated by a central mass. Examples include circumstellar disks of protostars and molecular disks in galactic nuclei. We explore the linear and…

Astrophysics · Physics 2009-10-31 Erick Lee , Jeremy Goodman

Bending waves are perhaps the most fundamental and analytically tractable phenomena in warped disc dynamics. In this work we conduct 3D grid-based, numerical experiments of bending waves in laminar, viscous hydrodynamic and turbulent,…

Solar and Stellar Astrophysics · Physics 2025-01-28 Callum W. Fairbairn

We analyse the non-linear propagation and dissipation of axisymmetric waves in accretion discs using the ZEUS-2D hydrodynamics code. The waves are numerically resolved in the vertical and radial directions. Both vertically isothermal and…

Astrophysics · Physics 2009-11-07 M. R. Bate , G. I. Ogilvie , S. H. Lubow , J. E. Pringle

This review introduces physical processes in protoplanetary disks relevant to accretion and the initial stages of planet formation. After a brief overview of the observational context, I introduce the elementary theory of disk structure and…

Solar and Stellar Astrophysics · Physics 2017-12-04 Philip J. Armitage

In this paper we analyse the propagation of warps in protostellar circumbinary discs. We use these systems as a test environment in which to study warp propagation in the bending-wave regime, with the addition of an external torque due to…

Solar and Stellar Astrophysics · Physics 2015-06-16 Stefano Facchini , Giuseppe Lodato , Daniel J. Price

We carry out local three dimensional (3D) hydrodynamic simulations of planet-disk interaction in stratified disks with varied thermodynamic properties. We find that whenever the Brunt-Vaisala frequency (N) in the disk is nonzero, the planet…

Earth and Planetary Astrophysics · Physics 2015-06-11 Zhaohuan Zhu , James M. Stone , Roman R. Rafikov

A new description of the dynamics of warped accretion discs is presented. A theory of fully nonlinear, slowly varying bending waves is developed, involving a proper treatment of viscous fluid dynamics but neglecting self-gravitation. The…

Astrophysics · Physics 2007-05-23 G. I. Ogilvie

We investigate gap formation in gaseous protostellar disks by a planet in a circular orbit in the limit of low disk viscosity. This regime may be appropriate to an aging disk after the epoch of planet formation. We find that the distance of…

Astrophysics · Physics 2009-11-10 Peggy Varniere , A. C. Quillen , Adam Frank
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