The rotational and divergent components of atmospheric circulation on tidally locked planets

TL;DR

This paper applies Helmholtz decomposition to separate rotational and divergent components of atmospheric circulation on tidally locked planets, revealing significant roles for divergent flows in heat transport.

Contribution

It introduces a novel application of Helmholtz decomposition to exoplanet atmospheres, providing new insights into the structure and heat transport contributions of circulation components.

Findings

Divergent velocities are significant and comparable to rotational velocities.

Divergent circulation forms a single cell with day-side ascent and night-side descent.

Divergent circulation dominates heat transport on terrestrial planets and is substantial on hot Jupiters.

Abstract

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- 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.