Controls of the global overturning circulation of the ocean

npj Climate and Atmospheric Science Nature Research 8:1 (2025) 304

Authors:

Fabien Roquet, Michael J Bell, Agatha M de Boer, David Ferreira, C Spencer Jones, Joseph H LaCasce, Casimir de Lavergne, David P Marshall, David R Munday, Jonas Nycander, Malin Ödalen

Abstract:

The global overturning circulation (GOC) is the largest scale component of the ocean circulation, associated with a global redistribution of key tracers such as heat and carbon. The GOC generates decadal to millennial climate variability, and will determine much of the long-term response to anthropogenic climate perturbations. This review aims at providing an overview of the main controls of the GOC. By controls, we mean processes affecting the overturning structure and variability. We distinguish three main controls: mechanical mixing, convection, and wind pumping. Geography provides an additional control on geological timescales. An important emphasis of this review is to present how the different controls interact with each other to produce an overturning flow, making this review relevant to the study of past, present and future climates as well as to exoplanets’ oceans.

An energy- and enstrophy-constrained parameterization of barotropic eddy potential vorticity fluxes

Journal of Physical Oceanography American Meteorological Society 55:5 (2025) 573-591

Authors:

Rosie Eaves, James Maddison, David Marshall, Stephanie Waterman

Abstract:

A parameterization for barotropic eddy potential vorticity (PV) fluxes is introduced which applies both an energetic and an enstrophetic constraint to a down-gradient PV mixing closure. An eddy kinetic energy budget and an eddy potential enstrophy budget are employed to constrain the parameterized eddy PV fluxes. Through the budgets, the parameterization facilitates a bidirectional exchange of kinetic energy between the parameterized eddies and the large-scale flow, and a conversion of potential enstrophy from the large-scale flow to the parameterized eddies. The parameterization is tested in simulations of barotropic, freely-decaying turbulence in a doubly periodic domain over variable bottom topography. The simulations show that employing the parameterization results in an upscale transfer of kinetic energy emerges on average, consistent with quasigeostrophic theory. Furthermore, the kinetic energy and potential enstrophy budgets employed are sufficient to constrain the large-scale flow in a realistic manner when compared to an eddy-resolving model. As a result, a topography-following flow of the correct magnitude emerges in a coarse-resolution model with parameterized eddy effects. Dissipation in the coarse-resolution simulations is significant, leading to the most significant source of discrepancy between the coarse resolution simulation with parameterized eddy effects and the eddy-resolving simulation. This work constitutes a first step towards the ultimate aim of parameterizing both baroclinic and barotropic turbulence. How this may be achieved by integrating this parameterization with other methods in more realistic ocean simulations is discussed.

A Two‐Dimensional Model for Eddy Saturation and Frictional Control in the Southern Ocean

Journal of Advances in Modeling Earth Systems Wiley 17:4 (2025) e2024MS004682

Authors:

JR Maddison, DP Marshall, J Mak, K Maurer‐Song

Abstract:

The reduced sensitivity of mean Southern Ocean zonal transport with respect to surface wind stress magnitude changes, known as eddy saturation, is studied in an idealized analytical model. The model is based on the assumption of a balance between surface wind stress forcing and bottom dissipation in the planetary geostrophic limit, coupled to the GEOMETRIC form of the Gent–McWilliams eddy parameterization. The assumption of a linear stratification, together with an equation for the parameterized domain integrated total eddy energy, enables the formulation of a two component dynamical system, which reduces to the non‐linear oscillator of Ambaum and Novak (2014, https://doi.org/10.1002/qj.2352) in a Hamiltonian limit. The model suggests an intrinsic oscillatory time scale for the Southern Ocean, associated with a combination of mean shear erosion by eddies and eddy energy generation by the mean shear. For Southern Ocean parameters the model suggests that perturbing the system via stochastic wind forcing may lead to relatively large excursions in eddy energy.

Energetic constraints on baroclinic eddy heat transport with a beta effect in the laboratory

Geophysical Research Letters Wiley 52:5 (2025) e2024GL112196

Authors:

Cheng Qian, Peter Read, David Marshall

Abstract:

Hypotheses involving energetic constraints and the down-gradient diffusion of heat in eddy parameterization theories are tested by estimating baroclinic eddy transports in rotating annulus laboratory experiments. Particle Imaging Velocimetry measurements are supplemented by numerical simulations to estimate variables not measured directly. The results with a topographic beta effect broadly support Fick's first law, and are consistent with the GEOMETRIC framework in which eddy buoyancy flux is constrained by total eddy energy. With the topographic beta effect, a relatively simple relation is observed between the eddy buoyancy flux and the total eddy energy, with the ratio quantifying the eddy transport efficiency. This efficiency decreases in more complex flow regimes with larger rotation rates, associated with the changing energy partition between eddy available potential energy and eddy kinetic energy. In the absence of a topographic beta effect, more complicated dependencies are found, suggesting roles for other variables.

Convective and orographic origins of the mesoscale kinetic energy spectrum

Geophysical Research Letters Wiley 51:21 (2024) e2024GL110804

Authors:

Salah Kouhen, Benjamin A Storer, Hussein Aluie, David P Marshall, Hannah M Christensen

Abstract:

The mesoscale spectrum describes the distribution of kinetic energy in the Earth's atmosphere between length scales of 10 and 400 km. Since the first observations, the origins of this spectrum have been controversial. At synoptic scales, the spectrum follows a −3 spectral slope, consistent with two-dimensional turbulence theory, but a shallower −5/3 slope was observed at the shorter mesoscales. The cause of the shallower slope remains obscure, illustrating our lack of understanding. Through a novel coarse-graining methodology, we are able to present a spatio-temporal climatology of the spectral slope. We find convection and orography have a shallowing effect and can quantify this using “conditioned spectra.” These are typical spectra for a meteorological condition, obtained by aggregating spectra where the condition holds. This allows the investigation of new relationships, such as that between energy flux and spectral slope. Potential future applications of our methodology include predictability research and model validation.