Accessibility navigation

Constraining an eddy energy dissipation rate due to relative wind stress for use in energy budget-based eddy parameterisations

Wilder, T., Zhai, X., Munday, D. and Joshi, M. (2023) Constraining an eddy energy dissipation rate due to relative wind stress for use in energy budget-based eddy parameterisations. Ocean Science, 19 (6). pp. 1669-1686. ISSN 1812-0792

Text (Open Access) - Published Version
· Available under License Creative Commons Attribution.
· Please see our End User Agreement before downloading.


It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.5194/os-19-1669-2023


A geostrophic eddy energy dissipation rate due to the interaction of the large-scale wind field and mesoscale ocean currents, or relative wind stress, is derived here for use in eddy energy budget-based eddy parameterisations. We begin this work by analytically deriving a relative wind stress damping term and a baroclinic geostrophic eddy energy equation. The time evolution of this analytical eddy energy in response to relative wind stress damping is compared directly with a baroclinic eddy in a general circulation model for both anticyclones and cyclones. The dissipation of eddy energy is comparable between each model and eddy type, although the numerical model diverges from the analytical model at around day 150, likely due to the presence of non-linear baroclinic processes. A constrained dissipation rate due to relative wind stress is then proposed using terms from the analytical eddy energy budget. This dissipation rate depends on the potential energy of the eddy thermocline displacement, which also depends on eddy length scale. Using an array of ocean datasets, and computing two forms for the eddy length scale, a range of values for the dissipation rate are presented. The analytical dissipation rate is found to vary from 0.25 to 4 times that of a constant dissipation rate employed in previous studies. The dissipation rates are generally enhanced in the Southern Ocean but smaller in the western boundaries. This proposed dissipation rate offers a tool to parameterise the damping of total eddy energy in coarse resolution global climate models and may have implications for a wide range of climate processes.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > NCAS
ID Code:114197
Publisher:European Geosciences Union


Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation