The leaky funnel model revisited

A former publication proposed an idealised view of the global ocean ventilation consisting in a flow through a porous pipe with decreasing section (a leaky funnel). The agreement between the domain-averaged ages as obtained with a coarse-grid 3-D ocean general circulation model (OGCM) and the leaky...

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Main Authors: Anne Mouchet, Eric Deleersnijder, Francois Primeau
Format: Article
Language:English
Published: Stockholm University Press 2012-09-01
Series:Tellus: Series A, Dynamic Meteorology and Oceanography
Subjects:
Online Access:http://www.tellusa.net/index.php/tellusa/article/view/19131/pdf_1
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author Anne Mouchet
Eric Deleersnijder
Francois Primeau
author_facet Anne Mouchet
Eric Deleersnijder
Francois Primeau
author_sort Anne Mouchet
collection DOAJ
description A former publication proposed an idealised view of the global ocean ventilation consisting in a flow through a porous pipe with decreasing section (a leaky funnel). The agreement between the domain-averaged ages as obtained with a coarse-grid 3-D ocean general circulation model (OGCM) and the leaky funnel is excellent. Further, the latter allows to infer characteristic scales, which are consistent with the current knowledge of the ocean ventilation. However, the method, based on numerical experiments in which the circulation fields of the OGCM were artificially modified, is questionable. Here, we revisit the leaky funnel and base our study on the global water age distribution φ(τ), where φ(τ)Δτ is the ocean volume fraction with age in the interval [τ,τ+Δτ]. The steady-state analytical solution for this distribution is shown to be in excellent agreement with numerical results from two coarse grid OGCMs: an outcome that helps strengthening the leaky funnel representation. The asymptotic analysis of φ(τ) suggests that, for large ages, water parcels have the same life expectancy, whatever their age. Further, the leaky funnel provides bulk characteristics of the circulation in OGCMs, which may serve as metrics in model intercomparison studies.
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spelling doaj.art-6917aaa343764516b02953b2804732762022-12-22T01:06:09ZengStockholm University PressTellus: Series A, Dynamic Meteorology and Oceanography0280-64951600-08702012-09-0164011610.3402/tellusa.v64i0.19131The leaky funnel model revisitedAnne MouchetEric DeleersnijderFrancois PrimeauA former publication proposed an idealised view of the global ocean ventilation consisting in a flow through a porous pipe with decreasing section (a leaky funnel). The agreement between the domain-averaged ages as obtained with a coarse-grid 3-D ocean general circulation model (OGCM) and the leaky funnel is excellent. Further, the latter allows to infer characteristic scales, which are consistent with the current knowledge of the ocean ventilation. However, the method, based on numerical experiments in which the circulation fields of the OGCM were artificially modified, is questionable. Here, we revisit the leaky funnel and base our study on the global water age distribution φ(τ), where φ(τ)Δτ is the ocean volume fraction with age in the interval [τ,τ+Δτ]. The steady-state analytical solution for this distribution is shown to be in excellent agreement with numerical results from two coarse grid OGCMs: an outcome that helps strengthening the leaky funnel representation. The asymptotic analysis of φ(τ) suggests that, for large ages, water parcels have the same life expectancy, whatever their age. Further, the leaky funnel provides bulk characteristics of the circulation in OGCMs, which may serve as metrics in model intercomparison studies.http://www.tellusa.net/index.php/tellusa/article/view/19131/pdf_1agedistribution functionworld oceanventilationmodel
spellingShingle Anne Mouchet
Eric Deleersnijder
Francois Primeau
The leaky funnel model revisited
Tellus: Series A, Dynamic Meteorology and Oceanography
age
distribution function
world ocean
ventilation
model
title The leaky funnel model revisited
title_full The leaky funnel model revisited
title_fullStr The leaky funnel model revisited
title_full_unstemmed The leaky funnel model revisited
title_short The leaky funnel model revisited
title_sort leaky funnel model revisited
topic age
distribution function
world ocean
ventilation
model
url http://www.tellusa.net/index.php/tellusa/article/view/19131/pdf_1
work_keys_str_mv AT annemouchet theleakyfunnelmodelrevisited
AT ericdeleersnijder theleakyfunnelmodelrevisited
AT francoisprimeau theleakyfunnelmodelrevisited
AT annemouchet leakyfunnelmodelrevisited
AT ericdeleersnijder leakyfunnelmodelrevisited
AT francoisprimeau leakyfunnelmodelrevisited