Momentum balance of the wind-driven and meridional overturning circulation

Journal of Physical Oceanography 41:5 (2011) 960-978

Authors:

DP Marshall, HR Pillar

Abstract:

When a force is applied to the ocean, fluid parcels are accelerated both locally, by the applied force, and nonlocally, by the pressure gradient forces established to maintain continuity and satisfy the kinematic boundary condition. The net acceleration can be represented through a "rotational force" in the rotational component of the momentum equation. This approach elucidates the correspondence between momentum and vorticity descriptions of the large-scale ocean circulation: if two terms balance pointwise in the rotational momentum equation, then the equivalent two terms balance pointwise in the vorticity equation. The utility of the approach is illustrated for three classical problems: barotropic Rossby waves, wind-driven circulation in a homogeneous basin, and the meridional overturning circulation in an interhemispheric basin. In the hydrostatic limit, it is shown that the rotational forces further decompose into depth-integrated forces that drive the wind-driven gyres and overturning forces that are confined to the basin boundaries and drive the overturning circulation. Potential applications of the approach to diagnosing the output of ocean circulation models, alternative and more accurate formulations of numerical ocean models, the dynamics of boundary layer separation, and eddy forcing of the large-scale ocean circulation are discussed. © 2011 American Meteorological Society.

Remote forcing of the Antarctic Circumpolar Current by diapycnal mixing

Geophysical Research Letters 38:8 (2011)

Authors:

DR Munday, LC Allison, HL Johnson, DP Marshall

Abstract:

We show that diapycnal mixing can drive a significant Antarctic Circumpolar Current (ACC) volume transport, even when the mixing is located remotely in northern-hemisphere ocean basins. In the case of remote forcing, the globally-averaged diapycnal mixing coefficient is the important parameter. This result is anticipated from theoretical arguments and demonstrated in a global ocean circulation model. The impact of enhanced diapycnal mixing on the ACC during glacial periods is discussed. Copyright 2011 by the American Geophysical Union.

Rossby wormholes

JOURNAL OF MARINE RESEARCH 69:2-3 (2011) 309-330

Spin-up and adjustment of the Antarctic Circumpolar Current and global pycnocline

JOURNAL OF MARINE RESEARCH 69:2-3 (2011) 167-189

Authors:

Lesley C Allison, Helen L Johnson, David P Marshall

Significant sink of ocean-eddy energy near western boundaries

Nature Geoscience 3:9 (2010) 608-612

Authors:

X Zhai, HL Johnson, DP Marshall

Abstract:

Ocean eddies generated through instability of the mean flow are a vital component of the energy budget of the global ocean1-3. In equilibrium, the sources and sinks of eddy energy have to be balanced. However, where and how eddy energy is removed remains uncertain3,4. Ocean eddies are observed to propagate westwards at speeds similar to the phase speeds of classical Rossby waves5, but what happens to the eddies when they encounter the western boundary is unclear. Here we use a simple reduced-gravity model along with satellite altimetry data to show that the western boundary acts as a "graveyardg" for the westward-propagating ocean eddies. We estimate a convergence of eddy energy near the western boundary of approximately 0.1-0.3 TW, poleward of 10°in latitude. This energy is most probably scattered into high-wavenumber vertical modes, resulting in energy dissipation and diapycnal mixing. If confirmed, this eddy-energy sink will have important implications for the ocean circulation. © 2010 Macmillan Publishers Limited. All rights reserved.