TY - JOUR

T1 - Interactions Between Mean Flow and Finite-Amplitude Mesoscale Eddies in a Barotropic Ocean

AU - Cushman-Roisin, Benoit

AU - Mclaughlin, David W.

AU - Papanicolaou, George

N1 - Funding Information:
The authors are indebted to Dr. James J. O’Brien for continuing support and encouragement. Financial support lor this research was provided by the Office of Naval Research under Grant No. SO001 4-82-C-0404. This constitutes contribution No. 204 of the Geophysical Fluid Dynam~csIn stitute at the Florida State University.

PY - 1984/5

Y1 - 1984/5

N2 - For the purpose of deriving an analytical parametrization, oceanic mesoscale eddies are represented as a horizontally propagating wave field in a non-uniform environment. The mathematical analysis rests upon the assumption of scale disparity between a short eddy scale and a long mean-flow scale. The novelty resides in the treatment of finite-amplitude eddies, which, moreover, form either a band-like or a cell-like pattern. A barotropic ocean is chosen as a first step to illustrate the mathematical analysis, but dissipation is included. The main result is an analytical derivation of a mesoscale-eddy parametrization: the mean-flow equation contains Reynolds-stress terms which are computed from parameters of the eddy field, which, in turn, are predicted by separate evolution equations. Due to restrictive assumptions (barotropy, orthogonal waves,…), the parametrization established here should be viewed only as a first step toward the design of a more practical parameterization for large-scale modelling.

AB - For the purpose of deriving an analytical parametrization, oceanic mesoscale eddies are represented as a horizontally propagating wave field in a non-uniform environment. The mathematical analysis rests upon the assumption of scale disparity between a short eddy scale and a long mean-flow scale. The novelty resides in the treatment of finite-amplitude eddies, which, moreover, form either a band-like or a cell-like pattern. A barotropic ocean is chosen as a first step to illustrate the mathematical analysis, but dissipation is included. The main result is an analytical derivation of a mesoscale-eddy parametrization: the mean-flow equation contains Reynolds-stress terms which are computed from parameters of the eddy field, which, in turn, are predicted by separate evolution equations. Due to restrictive assumptions (barotropy, orthogonal waves,…), the parametrization established here should be viewed only as a first step toward the design of a more practical parameterization for large-scale modelling.

UR - http://www.scopus.com/inward/record.url?scp=84963201833&partnerID=8YFLogxK

U2 - 10.1080/03091928408248194

DO - 10.1080/03091928408248194

M3 - Article

AN - SCOPUS:84963201833

SN - 0309-1929

VL - 29

SP - 333

EP - 353

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

IS - 1-4

ER -