Orientational effects in geophysical fluid dynamics
type: Item
instance of: scholarly article
title: Orientational effects in geophysical fluid dynamics
zbMATH Open document ID: 0542.76056
DOI: 10.1016/0020-7225(83)90057-5
author: N. V. Bagriantsev
author: A. I. Danilov
author: V. O. Ivchenko
author: V. N. Nikolayevskij
published in: International Journal of Engineering Science
publication date: 1983-01-01T00:00:00Z
review text: The authors present an attempt to model wind-driven global ocean circulations. Numerical experiments are carried out for one and two layer models of the real world ocean basins with a five-degree horizontal resolution. The hydrodynamical modeling begins with the Boussinesq approximation of the Navier-Stokes equations for stratified, laminar, and incompressible fluid motions, which are assumed to govern also turbulent motions. Using results of earlier work [the fourth author, \textit{D. Sh. Iskenderov} and \textit{E. N. Koszhof}, Trudy III Vsesoysnogo Seminara po Modelyam Sploshnoy Sredy, Novosibirsk, 36-42 (1976)], the equations of motion are volume averaged over cells of grid mesh size, which enclose quasi-two-dimensional synoptic (mesoscale) eddies. Since these subgrid circulations are not resolved by the large-scale model, their regular and orientational effects on the averaged flow variables is modeled by an asymmetric Reynolds stress tensor consisting of additive symmetric and antisymmetric parts. Using Boussinesq's approximation, the symmetric Reynolds stress tensor is replaced by the laminar strain-rate tensor of the averaged flow with lateral and horizontal eddy viscosities replacing the molecular viscosity. The antisymmetric Reynolds stress tensor is assumed to be linearly related to the surplus angular velocity of the unresolved subscale eddies with an unknown angular turbulent viscosity coefficient. The angular velocity is defined by averaged angular momentum equations as derived earlier by one of the authors. This equation introduces three additional unknown parameterization constants. The computed results display the anticipated increased westward intensification of subtropical gyre transports as observed, for instance, in the Gulf Stream and Kuroshio.
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 3862739
zbMATH Keywords: wind-driven global ocean circulations
zbMATH Keywords: Numerical experiments
zbMATH Keywords: one and two layer models
zbMATH Keywords: ocean basins
zbMATH Keywords: five-degree horizontal resolution
zbMATH Keywords: Boussinesq approximation of the Navier-Stokes equations
zbMATH Keywords: stratified
zbMATH Keywords: laminar
zbMATH Keywords: incompressible
zbMATH Keywords: turbulent motions
zbMATH Keywords: volume averaged
zbMATH Keywords: quasi-two-dimensional synoptic (mesoscale) eddies
zbMATH Keywords: subgrid circulations
zbMATH Keywords: asymmetric Reynolds stress tensor
zbMATH Keywords: westward intensification of subtropical gyre transports
zbMATH Keywords: Gulf Stream
zbMATH Keywords: Kuroshio
Wikidata QID: Q114685314
MaRDI profile type: Publication
full work available at URL: 0020-7225(83)90057-5
OpenAlex ID: W2006047237
cites work: On density effects and large structure in turbulent mixing layers
cites work: Nonsymmetric mechanics of turbulent flows
cites work: Micromorphic description of turbulent channel flow
cites work: Q3251440
cites work: Q3279573
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description: scientific article; zbMATH DE number 3862739