Nonlinear behaviour of warped discs around a central object with a quadrupole moment
arXiv:2203.13582 · doi:10.1093/mnras/stac858
Abstract
The nonlinear behaviour of low-viscosity warped discs is poorly understood. We verified a nonlinear bending-wave theory, in which fluid columns undergo affine transformations, with direct 3D hydrodynamical simulations. We employed a second-order Godunov-type scheme, Meshless Finite Mass (MFM), and also the Smoothed Particle Hydrodynamics (SPH) method, with up to 128M particles. For moderate nonlinearity, MFM maintains well the steady nonlinear warp predicted by the affine model for a tilted inviscid disc around a central object with a quadrupole moment. However, numerical dissipation in SPH is so severe that even a low-amplitude nonlinear warp degrades at a resolution where MFM performs well. A low-amplitude arbitrary warp tends to evolve towards a nonlinear steady state. However, no such state exists in our thin disc with an angular semi-thickness H/R = 0.02 when the outer tilt angle is beyond about 14 degrees. The warp breaks tenuously and reconnects in adiabatic simulations, or breaks into distinct annuli in isothermal simulations. The breaking radius lies close to the location with the most extreme nonlinear deformation. Parametric instability is captured only in our highest-resolution simulation, leading to ring structures that may serve as incubators for planets around binaries.
accepted to MNRAS
References in corpus (45)
- GIZMO: A New Class of Accurate, Mesh-Free Hydrodynamic Simulation Methods
- Smoothed Particle Hydrodynamics and Magnetohydrodynamics
- Phantom: A smoothed particle hydrodynamics and magnetohydrodynamics code for astrophysics
- Inviscid SPH
- Gasoline2: A Modern SPH Code
- Shadows cast by a warp in the HD 142527 protoplanetary disk
- Precessing warped accretion discs in X-ray binaries
- The non-linear fluid dynamics of a warped accretion disc
- Shadows cast on the transition disk of HD 135344B. Multiwavelength VLT/SPHERE polarimetric differential imaging
- On the diffusive propagation of warps in thin accretion discs
- On the tilting of protostellar disks by resonant tidal effects
- Wave-like warp propagation in circumbinary discs I. Analytic theory and numerical simulations
- On the Bardeen-Petterson Effect in black hole accretion discs
- Tearing up the disc: how black holes accrete
- On the convergence of the critical cooling timescale for the fragmentation of self-gravitating discs
- Bardeen-Petterson Alignment, Jets and Magnetic Truncation in GRMHD Simulations of Tilted Thin Accretion Discs
- The evolution of a warped disc around a Kerr black hole
- Signatures of broken protoplanetary discs in scattered light and in sub-millimetre observations
- 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
- An inner warp in the DoAr 44 T Tauri transition disk
- Boosting the accuracy of SPH techniques: Newtonian and special-relativistic tests
- Characterizing X-ray binary long-term variability
- Convergence of the critical cooling rate for protoplanetary disk fragmentation achieved; the key role of numerical dissipation of angular momentum
- Evolution of warped and twisted accretion discs in close binary systems
- Shadowing and multiple rings in the protoplanetary disk of HD 139614
- Local and global dynamics of warped astrophysical discs
- Linear and non-linear theory of a parametric instability of hydrodynamic warps in Keplerian discs
- Assembly of Protoplanetary Disks and Inclinations of Circumbinary Planets
- GW Ori: Interactions Between a Triple-star System and its Circumtriple Disk in Action
- An alpha theory of time-dependent warped accretion discs
- Nonlinear bending waves in Keplerian accretion discs
- Generalised warped disk equations
- Instability of warped discs
- Hydrodynamic instability in warped astrophysical discs
- Relaxation of Warped Disks: the Case of Pure Hydrodynamics
- Local simulations of MRI turbulence with meshless methods
- GW Ori: circumtriple rings and planets
- Parametric instability in a free evolving warped protoplanetary disc
- On the dynamics of low-viscosity warped discs around black holes
- Local numerical simulations of warped discs
- On the equations of warped disc dynamics
- Nonlinear resonant torus oscillations as a model of Keplerian disc warp dynamics
- An affine model of the dynamics of astrophysical discs
- Nonlinear dynamics of hydrodynamic tori as a model of oscillations and bending waves in astrophysical discs