Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution

Planet–disk interactions can produce kinematic signatures in protoplanetary disks. While recent observations have detected non-Keplerian gas motions in disks, their origins are still being debated. To explore this, we conduct 3D hydrodynamic simulations using the code FARGO3D to study nonaxisymmetri...

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Main Authors: Kan Chen, Ruobing Dong
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad83d0
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author Kan Chen
Ruobing Dong
author_facet Kan Chen
Ruobing Dong
author_sort Kan Chen
collection DOAJ
description Planet–disk interactions can produce kinematic signatures in protoplanetary disks. While recent observations have detected non-Keplerian gas motions in disks, their origins are still being debated. To explore this, we conduct 3D hydrodynamic simulations using the code FARGO3D to study nonaxisymmetric kinematic perturbations at two scale heights induced by Jovian planets in protoplanetary disks, followed by examinations of detectable signals in synthetic CO emission line observations at millimeter wavelengths. We advocate for using residual velocity or channel maps, generated by subtracting an azimuthally averaged background of the disk, to identify planet-induced kinematic perturbations. We investigate the effects of two basic simulation parameters, simulation duration and numerical resolution, on the simulation results. Our findings suggest that a short simulation (e.g., 100 orbits) is insufficient to establish a steady velocity pattern given our chosen viscosity ( α = 10 ^−3 ) and displays plenty of fluctuations on an orbital timescale. Such transient features could be detected in observations. By contrast, a long simulation (e.g., 1000 orbits) is required to reach steady state in kinematic structures. At 1000 orbits, the strongest detectable velocity structures are found in the spiral wakes close to the planet. Through numerical convergence tests, we find hydrodynamics results converge in spiral regions at a resolution of 14 cells per disk scale height or higher. Meanwhile, synthetic observations produced from hydrodynamic simulations at different resolutions are indistinguishable with 0.″1 angular resolution and 10 hr of integration time on Atacama Large Millimeter/submillimeter Array.
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spelling doaj-art-9a05e8d60ab5494d95d755ea72f3197b2024-11-13T06:41:18ZengIOP PublishingThe Astrophysical Journal1538-43572024-01-0197614910.3847/1538-4357/ad83d0Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical ResolutionKan Chen0https://orcid.org/0000-0002-8095-7448Ruobing Dong1https://orcid.org/0000-0001-9290-7846Department of Physics and Astronomy, University College London , Gower Street, London, WC1E 6BT, UK ; kan.chen.21@ucl.ac.ukKavli Institute for Astronomy and Astrophysics, Peking University , Beijing 100871, People's Republic of China ; rbdong@pku.edu.cn; Department of Physics and Astronomy, University of Victoria , Victoria, BC, V8P 5C2, CanadaPlanet–disk interactions can produce kinematic signatures in protoplanetary disks. While recent observations have detected non-Keplerian gas motions in disks, their origins are still being debated. To explore this, we conduct 3D hydrodynamic simulations using the code FARGO3D to study nonaxisymmetric kinematic perturbations at two scale heights induced by Jovian planets in protoplanetary disks, followed by examinations of detectable signals in synthetic CO emission line observations at millimeter wavelengths. We advocate for using residual velocity or channel maps, generated by subtracting an azimuthally averaged background of the disk, to identify planet-induced kinematic perturbations. We investigate the effects of two basic simulation parameters, simulation duration and numerical resolution, on the simulation results. Our findings suggest that a short simulation (e.g., 100 orbits) is insufficient to establish a steady velocity pattern given our chosen viscosity ( α = 10 ^−3 ) and displays plenty of fluctuations on an orbital timescale. Such transient features could be detected in observations. By contrast, a long simulation (e.g., 1000 orbits) is required to reach steady state in kinematic structures. At 1000 orbits, the strongest detectable velocity structures are found in the spiral wakes close to the planet. Through numerical convergence tests, we find hydrodynamics results converge in spiral regions at a resolution of 14 cells per disk scale height or higher. Meanwhile, synthetic observations produced from hydrodynamic simulations at different resolutions are indistinguishable with 0.″1 angular resolution and 10 hr of integration time on Atacama Large Millimeter/submillimeter Array.https://doi.org/10.3847/1538-4357/ad83d0Protoplanetary disksPlanetary-disk interactionsHydrodynamicsRadiative transfer
spellingShingle Kan Chen
Ruobing Dong
Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution
The Astrophysical Journal
Protoplanetary disks
Planetary-disk interactions
Hydrodynamics
Radiative transfer
title Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution
title_full Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution
title_fullStr Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution
title_full_unstemmed Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution
title_short Mind the Kinematics Simulation of Planet–Disk Interactions: Time Evolution and Numerical Resolution
title_sort mind the kinematics simulation of planet disk interactions time evolution and numerical resolution
topic Protoplanetary disks
Planetary-disk interactions
Hydrodynamics
Radiative transfer
url https://doi.org/10.3847/1538-4357/ad83d0
work_keys_str_mv AT kanchen mindthekinematicssimulationofplanetdiskinteractionstimeevolutionandnumericalresolution
AT ruobingdong mindthekinematicssimulationofplanetdiskinteractionstimeevolutionandnumericalresolution