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A boundary-value problem for the parameterized mesoscale eddy transport

A boundary-value problem for the parameterized mesoscale eddy transport
A boundary-value problem for the parameterized mesoscale eddy transport
We present a physically and numerically motivated boundary-value problem for each vertical ocean column, whose solution yields a parameterized mesoscale eddy-induced transport streamfunction.

The new streamfunction is a nonlocal function of the properties of the fluid column. It is constructed to have a low baroclinic mode vertical structure and to smoothly transition through regions of weak stratification such as boundary layers or mode waters.

It requires no matching conditions or regularization in unstratified regions; it satisfies boundary conditions of zero transport at the ocean surface and bottom; and it provides a sink of available potential energy for each vertical seawater column, but not necessarily at each location within the column.

Numerical implementation of the methodology requires the solution of a one-dimensional tridiagonal problem for each vertical column. To illustrate the approach, we present an analytical example based on the nonlinear Eady problem and two numerical simulations.
mesoscale, eddy, parameterization, turbulence, ocean, modelling
1463-5003
143-156
Ferrari, Raffaele
2dfe7e2b-caf5-4a6a-8db5-7a2c8839a3f5
Griffies, Stephen M.
bcc53ed0-1893-46cf-ac21-56259f8722f6
Nurser, A.J.G.
2493ef9a-21e9-4d8b-9c32-08677e7e145a
Vallis, Geoffrey K.
a73864b1-c777-44ac-82bd-a58cd07790a9
Ferrari, Raffaele
2dfe7e2b-caf5-4a6a-8db5-7a2c8839a3f5
Griffies, Stephen M.
bcc53ed0-1893-46cf-ac21-56259f8722f6
Nurser, A.J.G.
2493ef9a-21e9-4d8b-9c32-08677e7e145a
Vallis, Geoffrey K.
a73864b1-c777-44ac-82bd-a58cd07790a9

Ferrari, Raffaele, Griffies, Stephen M., Nurser, A.J.G. and Vallis, Geoffrey K. (2010) A boundary-value problem for the parameterized mesoscale eddy transport. Ocean Modelling, 32 (3-4), 143-156. (doi:10.1016/j.ocemod.2010.01.004).

Record type: Article

Abstract

We present a physically and numerically motivated boundary-value problem for each vertical ocean column, whose solution yields a parameterized mesoscale eddy-induced transport streamfunction.

The new streamfunction is a nonlocal function of the properties of the fluid column. It is constructed to have a low baroclinic mode vertical structure and to smoothly transition through regions of weak stratification such as boundary layers or mode waters.

It requires no matching conditions or regularization in unstratified regions; it satisfies boundary conditions of zero transport at the ocean surface and bottom; and it provides a sink of available potential energy for each vertical seawater column, but not necessarily at each location within the column.

Numerical implementation of the methodology requires the solution of a one-dimensional tridiagonal problem for each vertical column. To illustrate the approach, we present an analytical example based on the nonlinear Eady problem and two numerical simulations.

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More information

Published date: 2010
Keywords: mesoscale, eddy, parameterization, turbulence, ocean, modelling
Organisations: Marine Systems Modelling

Identifiers

Local EPrints ID: 142605
URI: http://eprints.soton.ac.uk/id/eprint/142605
ISSN: 1463-5003
PURE UUID: 6dd56b5a-c1a2-4875-a4d3-b5396058aa7a

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Date deposited: 01 Apr 2010 08:16
Last modified: 14 Mar 2024 00:40

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Contributors

Author: Raffaele Ferrari
Author: Stephen M. Griffies
Author: A.J.G. Nurser
Author: Geoffrey K. Vallis

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