Warped Disk Evolution in Grid-Based Simulations

Abstract

Observations show evidence that a significant fraction of protoplanetary disks contain warps. A warp in a disk evolves in time affecting the appearance of shadows and greatly influencing kinematic signatures. So far, many theoretical studies of warped disks have been conducted using Smoothed Particle Hydrodynamics (SPH) methods. In our approach, we use a grid-based method in spherical coordinates which has notable advantages: the method allows for accurate modelling of low viscosity values and the resolution does not depend on density or mass of the disk, which allows surface structures to be resolved. We perform 3D simulations using FARGO3D to simulate the evolution of a warped disk and compare the results to one-dimensional models using a ring code. Additionally, we extensively investigate the applicability of grid-based methods to misaligned disks and test their dependency on grid resolution as well as disk viscosity. We find that grid-based simulations are capable of simulating disks not aligned to the grid geometry. Our three-dimensional simulation of a warped disk compares well to one-dimensional models in evolution of inclination. However, we find a twist which is not captured in 1D models. After thorough analysis we suspect this to be a physical effect possibly caused by non-linear effects neglected in the one-dimensional equations. Evaluating the internal dynamics, we find sloshing and breathing motions as predicted in local shearing box analysis. They can become supersonic, which may have consequences on kinematic observations of warped disks. Warped disks can be accurately modelled in 3D grid-based simulations when using reasonably good resolution, especially in the $\theta$-direction. We find good agreement with the linear approximation of the sloshing motion which highlights the reliability of 1D models.

arXiv commentaccepted for publication in Astronomy & Astrophysics

References in corpus (48)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package
• GIZMO: A New Class of Accurate, Mesh-Free Hydrodynamic Simulation Methods
• The Disk Substructures at High Angular Resolution Project (DSHARP): I. Motivation, Sample, Calibration, and Overview
• Formation of Hot Planets by a combination of planet scattering, tidal circularization, and Kozai mechanism
• A comparative study of disc-planet interaction
• Dust and Gas in the disc of HL Tauri: Surface density, dust settling, and dust-to-gas ratio
• Observations of Protoplanetary Disk Structures
• Asymmetric features in the protoplanetary disk MWC758
• FARGO3D: A new GPU-oriented MHD code
• Shadows cast by a warp in the HD 142527 protoplanetary disk
• The non-linear fluid dynamics of a warped accretion disc
• Shadows and spirals in the protoplanetary disk HD 100453
• Observations of edge-on protoplanetary disks with ALMA I. Results from continuum data
• On the tilting of protostellar disks by resonant tidal effects
• Wave-like warp propagation in circumbinary discs I. Analytic theory and numerical simulations
• Accretion kinematics through the warped transition disk in HD142527 from resolved CO(6-5) observations
• Evidence for a massive dust-trapping vortex connected to spirals: a multi-wavelength analysis of the HD~135344B protoplanetary disk
• A triple star system with a misaligned and warped circumstellar disk shaped by disk tearing
• Shadows and asymmetries in the T Tauri disk HD 143006: Evidence for a misaligned inner disk
• Chasing Shadows: Rotation of the Azimuthal Asymmetry in the TW Hya Disk
• The Disk Substructures at High Angular Resolution Project (DSHARP): X. Multiple rings, a misaligned inner disk, and a bright arc in the disk around the T Tauri star HD 143006
• An inner warp in the DoAr 44 T Tauri transition disk
• Inclination Evolution of Protoplanetary Disks Around Eccentric Binaries
• Misaligned disks induced by infall
• Evolution of warped and twisted accretion discs in close binary systems
• Variable dynamics in the inner disk of HD 135344B revealed with multi-epoch scattered light imaging
• Shadowing and multiple rings in the protoplanetary disk of HD 139614
• Local and global dynamics of warped astrophysical discs
• Wave-like warp propagation in circumbinary discs II. Application to KH 15D
• Scattered light shadows in warped protoplanetary discs
• Linear and non-linear theory of a parametric instability of hydrodynamic warps in Keplerian discs
• Connecting the shadows: probing inner disk geometries using shadows in transitional disks
• Hydrodynamic Simulations of Propagating Warps and Bending Waves In Accretion Discs
• Assembly of Protoplanetary Disks and Inclinations of Circumbinary Planets
• Generalised warped disk equations
• Disk structure around the Class I protostar L1489 IRS revealed by ALMA: a warped disk system
• Effects of Disk Warping on the Inclination Evolution of Star-Disk-Binary Systems
• Hydrodynamic instability in warped astrophysical discs
• Relaxation of Warped Disks: the Case of Pure Hydrodynamics
• Rocking shadows in broken circumbinary discs
• GW Ori: circumtriple rings and planets
• Constraining the Circumbinary Disk Tilt in the KH 15D system
• Dust Traffic Jams in Inclined Circumbinary Protoplanetary Discs I. Morphology and Formation Theory
• On the equations of warped disc dynamics
• Grid-Based Simulations of Polar Circumbinary Disks: Polar Alignment and Vortex Formation
• Precessing warped discs in close binary systems

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• MINDS. Young binary systems with JWST/MIRI: Variable water-rich primaries and extended emission
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