Journal article icon

Journal article

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

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.
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1175/JPO-D-24-0027.1

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atmos Ocean & Planet Physics
Oxford college:
University College
Role:
Author
ORCID:
0009-0006-7377-8608
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atmos Ocean & Planet Physics
Role:
Author


More from this funder
Funder identifier:
https://ror.org/02b5d8509
Grant:
NE/S007474/1


Publisher:
American Meteorological Society
Journal:
Journal of Physical Oceanography More from this journal
Volume:
55
Issue:
5
Pages:
573–591
Publication date:
2025-05-01
Acceptance date:
2025-02-05
DOI:
EISSN:
1520-0485
ISSN:
0022-3670


Language:
English
Pubs id:
2091539
Local pid:
pubs:2091539
Deposit date:
2025-02-24

Terms of use



Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP