Global Calculations of Density Waves and Gap Formation in Protoplanetary Disks using a Moving Mesh

Abstract

We calculate the global quasi-steady state of a thin disk perturbed by a low-mass protoplanet orbiting at a fixed radius using extremely high-resolution numerical integrations of Euler's equations in two dimensions. The calculations are carried out using a moving computational domain, which greatly reduces advection errors and allows for much longer time-steps than a fixed grid. We calculate the angular momentum flux and the torque density as a function of radius and compare them with analytical predictions. We discuss the quasi-steady state after 100 orbits and the prospects for gap formation by low mass planets.

Accepted to ApJ

References in corpus (10)

• A comparative study of disc-planet interaction
• Halting Type I planet migration in non-isothermal disks
• On disc protoplanet interactions in a non-barotropic disc with thermal diffusion
• Treating gravity in thin disk simulations
• Type I Planet Migration in Nearly Laminar Disks
• Density Waves Excited by Low-Mass Planets in Protoplanetary Disks II: High-Resolution Simulations of the Nonlinear Regime
• Density Waves Excited by Low-Mass Planets in Protoplanetary Disks I: Linear Regime
• Simulating planet migration in globally evolving disks
• On type-I migration near opacity transitions. A generalized Lindblad torque formula for planetary population synthesis
• The origin of the negative torque density in disk-satellite interaction

Cited by in corpus (55)

• GIZMO: A New Class of Accurate, Mesh-Free Hydrodynamic Simulation Methods
• Ringed Substructure and a Gap at 1 AU in the Nearest Protoplanetary Disk
• Gaps and Rings in an ALMA Survey of Disks in the Taurus Star-forming Region
• The Disk Substructures at High Angular Resolution Project (DSHARP): VII. The Planet-Disk Interactions Interpretation
• Binary Black Hole Accretion From a Circumbinary Disk: Gas Dynamics Inside the Central Cavity
• CLASH: Three Strongly Lensed Images of a Candidate z ~ 11 Galaxy
• Improving the convergence properties of the moving-mesh code AREPO
• Accretion into the Central Cavity of a Circumbinary Disk
• Hydrodynamics of circumbinary accretion: Angular momentum transfer and binary orbital evolution
• The Structure of Spiral Shocks Excited by Planetary-mass Companions
• Multiple Disk Gaps and Rings Generated by a Single Super-Earth
• Gap Opening by Extremely Low Mass Planets in a Viscous Disk
• The Migration of Gap-Opening Planets is not Locked to Viscous Disk Evolution
• Accurate, Meshless Methods for Magneto-Hydrodynamics
• Particle Concentration At Planet Induced Gap Edges and Vortices: I. Inviscid 3-D Hydro Disks
• On the formation of multiple concentric rings and gaps in protoplanetary disks
• On the orbital evolution of supermassive black hole binaries with circumbinary accretion discs
• The late inspiral of supermassive black hole binaries with circumbinary gas discs in the LISA band
• Multiple Disk Gaps and Rings Generated by a Single Super-Earth: II. Spacings, Depths, and Number of Gaps, with Application to Real Systems
• A transition in circumbinary accretion discs at a binary mass ratio of 1:25
• Eccentric Jupiters via Disk-Planet Interactions
• Evolution of gas disc-embedded intermediate mass ratio inspirals in the LISA band
• An opening criterion for dust gaps in protoplanetary discs
• Low mass planets in protoplanetary disks with net vertical magnetic fields: the Planetary Wake and Gap Opening
• How Bright are Planet-Induced Spiral Arms in Scattered Light?
• Minidisks in Binary Black Hole Accretion
• Rayleigh-Taylor Instability in a Relativistic Fireball on a Moving Computational Grid
• Ripple effects & oscillations in the broad FeKa line as a probe of massive black hole mergers
• Gas pile-up, gap overflow, and Type 1.5 migration in circumbinary disks: general theory
• DISCO: A 3D Moving-Mesh Magnetohydrodynamics Code Designed for the Study of Astrophysical Disks
• A discontinuous Galerkin method for solving the fluid and MHD equations in astrophysical simulations
• On the planetary interpretation of multiple gaps and rings in protoplanetary disks seen by ALMA
• Characterizing faint galaxies in the reionization epoch: LBT confirms two L<0.2L* sources at z=6.4 behind the CLASH/Frontier Fields cluster MACS0717.5+3745
• Gaps and Rings in Protoplanetary Disks with Realistic Thermodynamics: The Critical Role of In-Plane Radiation Transport
• An empirically-derived formula for the shape of planet-induced gaps in protoplanetary disks
• Accretion and Orbital Inspiral in Gas-Assisted Supermassive Black Hole Binary Mergers
• Disk-satellite interaction in disks with density gaps
• Three-Dimensional Disk-Satellite Interaction: Torques, Migration, and Observational Signatures
• Gas Flows Within Cavities of Circumbinary Discs in Eccentric Binary Protostellar Systems
• Low-mass planets in nearly inviscid disks: Numerical treatment
• The Observability Of Vortex-Driven Spiral Arms In Protoplanetary Disk: Basic Spiral Properties
• Disk Accretion Driven by Spiral Shocks
• Planet-disc interaction on a freely moving mesh
• The moving mesh code Shadowfax
• Efficient radiative transfer techniques in hydrodynamic simulations
• High-Frequency Voronoi Noise Reduced by Smoothed Mesh Motion
• Lyman edges in supermassive black hole binaries
• Pushing the limits of eccentricity in planet-disc interactions
• Tetrahedral grids in Monte Carlo radiative transfer
• Analytical and Numerical Analysis of Circumbinary Disk Dynamics -- I: Coplanar Systems
• Star Formation for Predictive Primordial Galaxy Formation
• Indirect forces in disc-planet interaction
• Resolving vortices with an isothermal HLLC Riemann solver
• Planet-driven density waves in protoplanetary discs: numerical verification of nonlinear evolution theory
• $\alpha \beta q_{\mathrm{th}}$-mapping of planet-induced density wave damping in protoplanetary discs