Imperial College London

ProfessorPavelBerloff

Faculty of Natural SciencesDepartment of Mathematics

Professor in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 9662p.berloff Website

 
 
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Location

 

745Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Berloff:2019,
author = {Berloff, P},
journal = {Journal of Fluid Mechanics},
title = {Rossby waves and momentum fluxes induced by transient localised forcing in the shallow-water model},
url = {http://hdl.handle.net/10044/1/75503},
year = {2019}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - The aim of this study is to understand the dynamics of eddies induced by a localised and periodic‘plunger’ forcing - imposed on a background flow - which is intended as an elementary representation oftransient mesoscale eddy forcing in the ocean. We consider linearised dynamics and its quasi-nonlinearextension, and focus on the rotating shallow-water model. The plunger induces a spectrum of Rossbywaves that drive zonal momentum flux convergence at the forced latitudes. This behaviour has arobust and significant dependence on the background flow, which we treat as zonal and uniform. Wesystematically analyse this dependence using two methods. First, we use the eddy geometry formulation, in which Reynolds stresses are expressed in terms of eddy elongation and eddy tilt parameters,and consider the relationship between eddy geometry and zonal momentum redistribution. Second,we implement decompositions of flow responses into linear dynamical eigenmodes and compare withexpectations from linear Rossby wave theory. Both methods compliment each other and aid the understanding of zonal momentum redistribution and its dependence on uniform background flow. Wefind that this dependence is determined by two factors: (1) dispersion-constrained resonance with theplunger forcing and (2) efficiency of nonlinear eddy self-interactions. These results significantly improveour understanding of shallow-water Rossby waves, and may also be applied towards the developmentof parameterisations of oceanic mesoscale eddies.
AU - Berloff,P
PY - 2019///
SN - 0022-1120
TI - Rossby waves and momentum fluxes induced by transient localised forcing in the shallow-water model
T2 - Journal of Fluid Mechanics
UR - http://hdl.handle.net/10044/1/75503
ER -