The rotational and divergent components of atmospheric circulation on tidally locked planets
Proceedings of the National Academy of Sciences NAS 118:13 (2021) e2022705118-e2022705118
Abstract:
<jats:p>Tidally locked exoplanets likely host global atmospheric circulations with a superrotating equatorial jet, planetary-scale stationary waves, and thermally driven overturning circulation. In this work, we show that each of these features can be separated from the total circulation by using a Helmholtz decomposition, which splits the circulation into rotational (divergence-free) and divergent (vorticity-free) components. This technique is applied to the simulated circulation of a terrestrial planet and a gaseous hot Jupiter. For both planets, the rotational component comprises the equatorial jet and stationary waves, and the divergent component contains the overturning circulation. Separating out each component allows us to evaluate their spatial structure and relative contribution to the total flow. In contrast with previous work, we show that divergent velocities are not negligible when compared with rotational velocities and that divergent, overturning circulation takes the form of a single, roughly isotropic cell that ascends on the day side and descends on the night side. These conclusions are drawn for both the terrestrial case and the hot Jupiter. To illustrate the utility of the Helmholtz decomposition for studying atmospheric processes, we compute the contribution of each of the circulation components to heat transport from day side to night side. Surprisingly, we find that the divergent circulation dominates day–night heat transport in the terrestrial case and accounts for around half of the heat transport for the hot Jupiter. The relative contributions of the rotational and divergent components to day–night heat transport are likely sensitive to multiple planetary parameters and atmospheric processes and merit further study.</jats:p>Characterizing Regimes of Atmospheric Circulation in Terms of Their Global Superrotation
Journal of the Atmospheric Sciences American Meteorological Society 78:4 (2021) 1245-1258
Abstract:
<jats:title>Abstract</jats:title><jats:p>The global superrotation index <jats:italic>S</jats:italic> compares the integrated axial angular momentum of the atmosphere to that of a state of solid-body corotation with the underlying planet. The index <jats:italic>S</jats:italic> is similar to a zonal Rossby number, which suggests it may be a useful indicator of the circulation regime occupied by a planetary atmosphere. We investigate the utility of <jats:italic>S</jats:italic> for characterizing regimes of atmospheric circulation by running idealized Earthlike general circulation model experiments over a wide range of rotation rates Ω, 8Ω<jats:sub><jats:italic>E</jats:italic></jats:sub> to Ω<jats:sub><jats:italic>E</jats:italic></jats:sub>/512, where Ω<jats:sub><jats:italic>E</jats:italic></jats:sub> is Earth’s rotation rate, in both an axisymmetric and three-dimensional configuration. We compute <jats:italic>S</jats:italic> for each simulated circulation, and study the dependence of <jats:italic>S</jats:italic> on Ω. For all rotation rates considered, <jats:italic>S</jats:italic> is on the same order of magnitude in the 3D and axisymmetric experiments. For high rotation rates, <jats:italic>S</jats:italic> ≪ 1 and <jats:italic>S</jats:italic> ∝ Ω<jats:sup>−2</jats:sup>, while at low rotation rates <jats:italic>S</jats:italic> ≈ 1/2 = constant. By considering the limiting behavior of theoretical models for <jats:italic>S</jats:italic>, we show how the value of <jats:italic>S</jats:italic> and its local dependence on Ω can be related to the circulation regime occupied by a planetary atmosphere. Indices of <jats:italic>S</jats:italic> ≪ 1 and <jats:italic>S</jats:italic> ∝ Ω<jats:sup>−2</jats:sup> define a regime dominated by geostrophic thermal wind balance, and <jats:italic>S</jats:italic> ≈ 1/2 = constant defines a regime where the dynamics are characterized by conservation of angular momentum within a planetary-scale Hadley circulation. Indices of <jats:italic>S</jats:italic> ≫ 1 and <jats:italic>S</jats:italic> ∝ Ω<jats:sup>−2</jats:sup> define an additional regime dominated by cyclostrophic balance and strong equatorial superrotation that is not realized in our simulations.</jats:p>The Influence of a Substellar Continent on the Climate of a Tidally Locked Exoplanet
The Astrophysical Journal 854:2 (2018) 171-171
Data for 'Hammond and Lewis: The rotational and divergent components of atmospheric circulation on tidally locked planets, Proc. Nat. Acad. Sci., 2021'
University of Oxford (2021)
Abstract:
This archive contains the Python code used to analyse and plot the data in Hammond & Lewis 2021, "The rotational and divergent components of atmospheric circulation on tidally locked planets", as well as the data from the "terrestrial" simulation of the atmosphere of a rocky planet using the general circulation model ExoFMS. It contains three files: 1) HL21_plotter.ipynb This is a Jupyter notebook containing Python code. It reads the data from the ExoFMS simulation and finds its rotational and divergent parts. It then plots the figures used in Hammond & Lewis 2021. 2) data/rotdiv-terr-control-1000-2000_atmos_average_interp.nc The "terrestrial" simulation output, interpolated to uniform pressure levels. This is used to plot quantities such as velocity at a constant pressure. 3) data/rotdiv-terr-control-1000-2000_atmos_average.nc The "terrestrial" simulation output, on the raw model sigma-pressure levels. This is used to calculate the dry static energy budget. The paper also uses a "Hot Jupiter" simulation from the THOR GCM. This is from "THOR 2.0: Major Improvements to the Open-Source General Circulation Model" (Deitrick et al. 2020). The data is available on request to Russell Deitrick (russell.deitrick@csh.unibe.ch). The same analysis can be made using HL21_plotter.ipynb, with small modifications due to the different grid in THOR.Wintertime Southern Hemisphere jet streams shaped by interaction of transient eddies with Antarctic orography
Journal of Climate Wiley 33:24 (2020) 10505-10522