Icy Worlds

Parameterizing Slantwise Convection In Icy Moon Oceans

By Keith Cowing
Status Report
astro-ph.EP
June 25, 2026
Filed under , , , , , , , ,
Parameterizing Slantwise Convection In Icy Moon Oceans
Coordinate systems. (a) Schematic of the coordinate systems. eπœƒ and er are the meridional (latitudinal) direction and the vertical direction (opposite to the gravitational direction), respectively. ez and es are the axial direction aligned with planetary rotation and the radial direction perpendicular to it, respectively. eπœ™ represents both the zonal direction in spherical coordinates and the azimuthal direction in cylindrical coordinates. (b) Distribution of 𝐻𝑧 in the simulation with Enceladus-like parameters: a core radius of 192 km and an ocean surface radius of 232 km. Outside the tangent cylinder, 𝐻𝑧 is kept constant. In (a) and (b), gray dashed lines indicate the tangent cylinder. — astro-ph.EP

Convection in icy moon oceans is strongly influenced by rotation, organizing into slantwise columnar structures aligned with the planetary rotation axis. They generate significant meridional heat transport, which can affect the ice shell topography, a primary observable of these moons.

However, global ocean simulations cannot resolve convection under realistic icy moon conditions, and traditional convection schemes cannot represent slantwise convection. Here, we develop a slantwise convection scheme and implement it in a global ocean model. We perform benchmark tests in a global spherical shell by comparing parameterized fluxes with convection-resolving simulations.

The scheme reproduces the meridional heat transport inside the tangent cylinder, where slantwise convection dominates. The resulting meridional heat transport significantly modifies the surface heat flux, producing variations comparable to the imposed bottom heating magnitude.

Although the simulations with parameterized convection cannot fully reproduce the temperature structure, likely due to an inability to reproduce the temperature gradients near the boundaries, they capture the bulk interior vertical temperature gradient. The new scheme allows unresolved slantwise convection to be represented in global ocean simulations for icy moons.

It is also applicable to other rapidly rotating oceans with small natural Rossby number (Roβˆ—β‰ͺ1), including deep ocean worlds on exoplanets.

Yaoxuan Zeng, Malte F. Jansen

Subjects: Earth and Planetary Astrophysics (astro-ph.EP); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:2606.22547 [astro-ph.EP] (or arXiv:2606.22547v1 [astro-ph.EP] for this version)
https://doi.org/10.48550/arXiv.2606.22547
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Submission history
From: Yaoxuan Zeng
[v1] Sun, 21 Jun 2026 15:07:21 UTC (2,860 KB)
https://arxiv.org/abs/2606.22547
Astrobiology, exoplanet,

Biologist, Explorers Club Fellow, ex-NASA Space Biologist and Payload integrator, Editor of NASAWatch.com and Astrobiology.com, Lapsed climber, Explorer, Synaesthete, Former Challenger Center board member πŸ––πŸ»