Vortex generation in protoplanetary disks with an embedded giant planet

Abstract

Vortices in protoplanetary disks can capture solid particles and form planetary cores within shorter timescales than those involved in the standard core-accretion model. We investigate vortex generation in thin unmagnetized protoplanetary disks with an embedded giant planet with planet to star mass ratio $10^{-4}$ and $10^{-3}$. Two-dimensional hydrodynamical simulations of a protoplanetary disk with a planet are performed using two different numerical methods. The results of the non-linear simulations are compared with a time-resolved modal analysis of the azimuthally averaged surface density profiles using linear perturbation theory. Finite-difference methods implemented in polar coordinates generate vortices moving along the gap created by Neptune-mass to Jupiter-mass planets. The modal analysis shows that unstable modes are generated with growth rate of order $0.3{\Omega }_K$ for azimuthal numbers m=4,5,6, where ${\Omega }_K$ is the local Keplerian frequency. Shock-capturing Cartesian-grid codes do not generate very much vorticity around a giant planet in a standard protoplanetary disk. Modal calculations confirm that the obtained radial profiles of density are less susceptible to the growth of linear modes on timescales of several hundreds of orbital periods. Navier-Stokes viscosity of the order $\nu =10^{-5}$ (in units of $a^2{\Omega }_p$) is found to have a stabilizing effect and prevents the formation of vortices. This result holds at high resolution runs and using different types of boundary conditions. Giant protoplanets of Neptune-mass to Jupiter-mass can excite the Rossby wave instability and generate vortices in thin disks. The presence of vortices in protoplanetary disks has implications for planet formation, orbital migration, and angular momentum transport in disks.

14 pages, 15 figures, accepted for publication in A&A

References in corpus (27)

• Rossby Wave Instability of Keplerian Accretion Disks
• A comparative study of disc-planet interaction
• Turbulence in Accretion Disks. Vorticity Generation and Angular Momentum Transport via the Global Baroclinic Instability
• Disk Accretion Onto High-Mass Planets
• Enhanced Angular Momentum Transport in Accretion Disks
• Rossby Wave Instability of Thin Accretion Disks -- II. Detailed Linear Theory
• Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks
• Gas Flow Across Gaps in Protoplanetary Disks
• Rossby Wave Instability of Thin Accretion Disks - III. Nonlinear Simulations
• On Validating an Astrophysical Simulation Code
• Reviving Dead Zones in Accretion Disks by Rossby Vortices at their Boundaries
• Particle Aggregation in a turbulent Keplerian flow
• Three-Dimensional Vortices in Stratified Protoplanetary Disks
• Potential Vorticity Evolution of a Protoplanetary Disk with An Embedded Protoplanet
• An hydrodynamic shear instability in stratified disks
• Formation of Giant Planets by Concurrent Accretion of Solids and Gas inside an Anti-Cyclonic Vortex
• Vortices in the Co-orbital Region of an Embedded Protoplanet
• A Possible Rossby Wave Instability Origin for the Flares in Sagittarius A*
• Bypass to Turbulence in Hydrodynamic Accretion Disks: An Eigenvalue Approach
• An Exact, Three-Dimensional, Time-Dependent Wave Solution in Local Keplerian Flow
• On the Early Evolution of Forming Jovian Planets I: Initial Conditions, Systematics and Qualitative Comparisons to Theory
• On Rossby waves and vortices with differential rotation
• A 3D Spectral Anelastic Hydrodynamic Code for Shearing, Stratified Flows
• Nonlinear Stability of Thin, Radially-Stratified Disks
• AMRA: An Adaptive Mesh Refinement Hydrodynamic Code for Astrophysics
• Validating the FLASH Code: Vortex-Dominated Flows
• Cosmological Mestel Disks and the Rossby Vortex Instability: The Origin of Supermassive Black Holes

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• Gaps, Rings, and Non-Axisymmetric Structures in Protoplanetary Disks - From Simulations to ALMA Observations
• ALMA unveils rings and gaps in the protoplanetary system HD 169142: signatures of two giant protoplanets
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• Evidence for a massive dust-trapping vortex connected to spirals: a multi-wavelength analysis of the HD~135344B protoplanetary disk
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• Long Term Evolution of Planet-Induced Vortices in Protoplanetary Disks
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• Slowly-growing gap-opening planets trigger weaker vortices
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• Gas and dust hydrodynamical simulations of massive lopsided transition discs - I. Gas distribution
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• Testing large-scale vortex formation against viscous layers in three-dimensional discs
• Vortex-like kinematic signal, spirals, and beam smearing effect in the HD 142527 disk
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• Dusty disc-planet interaction with dust-free simulations
• Nonaxisymmetric Rossby Vortex Instability with Toroidal Magnetic Fields in Radially Structured Disks
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• On The Orbital Evolution of Jupiter Mass Protoplanet Embedded in A Self-Gravity Disk
• Vortex Formation and Evolution in Planet Harboring Disks under Thermal Relaxation
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• Extreme Pebble Accretion in Ringed Protoplanetary Discs
• Migration of gap-opening planets in 3D stellar-irradiated accretion disks
• Hydrodynamic turbulence in disks with embedded planets
• Can chondrules be produced by the interaction of Jupiter with the protosolar disk?
• How to form compact & other longer-lived planet-induced vortices: VSI, planet migration, or re-triggers, but not feedback
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• On the nature of the azimuthal asymmetry of protoplanetary disks observed pole-on. The case LkHa 101
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