How do tidal waves interact with convective vortices in rapidly-rotating planets and stars?
arXiv:2211.05900 · doi:10.1051/0004-6361/202243586
Abstract
The dissipation of tidal inertial waves in planetary and stellar convective regions is one of the key mechanisms that drive the evolution of star-planet/planet-moon systems. In this context, the interaction between tidal inertial waves and turbulent convective flows must be modelled in a realistic and robust way. In the state-of-the-art simulations, the friction applied by convection on tidal waves is modelled most of the time by an effective eddy-viscosity. This approach may be valid when the characteristic length scales of convective eddies are smaller than those of tidal waves. However, it becomes highly questionable in the case where tidal waves interact with potentially stable large-scale vortices, as those observed at the pole of Jupiter and Saturn. They are potentially triggered by convection in rapidly-rotating bodies in which the Coriolis acceleration forms the flow in columnar vortical structures along the direction of the rotation axis. In this paper, we investigate the complex interactions between a tidal inertial wave and a columnar convective vortex. We use a quasi-geostrophic semi-analytical model of a convective columnar vortex. We perform linear stability analysis to identify the unstable regime and conduct linear numerical simulations for the interactions between the convective vortex and an incoming tidal inertial wave. We verify that in the unstable regime, an incoming tidal inertial wave triggers the most unstable mode of the vortex leading to turbulent dissipation. For stable vortices, the wave-vortex interaction leads to the momentum mixing while it creates a low-velocity region around the vortex core and a new wave-like perturbation in the form of a progressive wave radiating in the far field. The emission of this secondary wave is the strongest when the wavelength of the incoming wave is close to the characteristic size of the vortex.
arXiv comment20 pages, 15 figures, accepted in Astronomy & Astrophysics
References in corpus (55)
- Tidal dissipation in stars and giant planets
- Tidal dissipation in rotating giant planets
- Improved angular momentum evolution model for solar-like stars
- Improved angular momentum evolution model for solar-like stars II. Exploring the mass dependence
- Strong tidal dissipation in Saturn and constraints on Enceladus' thermal state from astrometry
- New constraints on Saturn's interior from Cassini astrometric data
- Approaching the Asymptotic Regime of Rapidly Rotating Convection: Boundary Layers vs Interior Dynamics
- Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum
- Tides in rotating barotropic fluid bodies: the contribution of inertial waves and the role of internal structure
- Resonance locking in giant planets indicated by the rapid orbital expansion of Titan
- Tidal dissipation in evolving low-mass and solar-type stars with predictions for planetary orbital decay
- Origin of Tidal Dissipation in Jupiter: II. the Value of Q
- Fast Tides in Slow Stars: the Efficiency of Eddy Viscosity
- Dynamical Tides in Rotating Planets and Stars
- Effect of the rotation and tidal dissipation history of stars on the evolution of close-in planets
- The equilibrium tide in stars and giant planets: I - the coplanar case
- On the interaction between tides and convection
- Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex
- On Dissipation inside Turbulent Convection Zones from 3D Simulations of Solar Convection
- Nonlinear evolution of the tidal elliptical instability in gaseous planets and stars
- Theory and simulations of rotating convection
- Convective turbulent viscosity acting on equilibrium tidal flows: new frequency scaling of the effective viscosity
- Tidal dissipation in multi-planet systems and constraints to orbit-fitting
- Quantification of the strength of inertial waves in a rotating turbulent flow
- Disentangling inertial waves from eddy turbulence in a forced rotating turbulence experiment
- Impact of rotation on stochastic excitation of gravity and gravito-inertial waves in stars
- A Hexagon in Saturn's Northern Stratosphere Surrounding the Emerging Summertime Polar Vortex
- Tidal dissipation in rotating fluid bodies: the presence of a magnetic field
- A model of rotating convection in stellar and planetary interiors: I - convective penetration
- Evolution of star-planet systems under magnetic braking and tidal interaction
- Nonlinear evolution of the elliptical instability in the presence of weak magnetic fields
- Turbulent viscosity acting on the equilibrium tidal flow in convective stars
- The impact of rotation on turbulent tidal friction in stellar and planetary convective regions
- The coupling between internal waves and shear-induced turbulence in stellar radiation zones: the critical layer
- On a new formulation for energy transfer between convection and fast tides with application to giant planets and solar type stars
- Convection with Misaligned Gravity and Rotation: Simulations and Rotating Mixing Length Theory
- Deep convection-driven vortex formation on Jupiter and Saturn
- Magnetic and tidal migration of close-in planets. Influence of secular evolution on their population
- Efficiency of tidal dissipation in slowly rotating fully convective stars or planets
- On the interaction between fast tides and convection
- The effect of rotation on oscillatory double-diffusive convection (semiconvection)
- Vortex cluster arising from an axisymmetric inertial wave attractor
- Horizontal shear instabilities in rotating stellar radiation zones: I. Inflectional and inertial instabilities and the effects of thermal diffusion
- Horizontal shear instabilities in rotating stellar radiation zones: II. Effects of the full Coriolis acceleration
- A model of rotating convection in stellar and planetary interiors: II -- gravito-inertial wave generation
- Deep model simulation of polar vortices in gas giant atmospheres
- The circularization timescales of late-type binary stars
- The effects of nonlinearities on tidal flows in the convective envelopes of rotating stars and planets in exoplanetary systems
- Layered semi-convection and tides in giant planet interiors - II. Tidal dissipation
- Does magnetic field impact tidal dynamics inside the convective zone of low-mass stars along their evolution?
- The complex interplay between tidal inertial waves and zonal flows in differentially rotating stellar and planetary convective regions I. Free waves
- Interplay between geostrophic vortices and inertial waves in precession-driven turbulence
- Asymptotic Behavior of Heat Transport for a Class of Exact Solutions in Rotating Rayleigh-Bénard Convection
- Convection in Oblate Solar-Type Stars
- Wave-vortex interactions, remote recoil, the Aharonov-Bohm effect and the Craik-Leibovich equation