Toward a general theory of the age in ocean modelling

Delhez, Eric; Campin, Jean‐Michel; Hirst, Anthony C.; Deleersnijder, Éric

doi:10.1016/s1463-5003(99)00003-7

Cited by 216 publications

(220 citation statements)

References 16 publications

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“…Here we focus on the issues that arise when considering TTDs for unsteady flows and discuss approaches to finding the TTD in numerical circulation models. For full details on the TTD theory consult Hall and Plumb (1994), Holzer and Hall (2000) in the atmospheric context and Beining and Roether (1996), Delhez et al (1999), Haine and Hall (2002) and Zhang et al (2005) in the oceanic context.…”

Section: Transit-time Distribution Theory In Unsteady Flowmentioning

confidence: 99%

On transit-time distributions in unsteady circulation models

et al. 2008

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Section: Transit-time Distribution Theory In Unsteady Flowmentioning

confidence: 99%

On transit-time distributions in unsteady circulation models

et al. 2008

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“…It can be shown that the age concentration is an extensive variable that characterizes the "age content" of a water parcel and satisfies the budget equation (Delhez et al 1999;…”

Section: Eulerian Equations For Partial Agesmentioning

confidence: 99%

“…For a passive tracer, the concentration distribution function satisfies the differential equation (Delhez et al 1999;)…”

Section: Eulerian Equations For Partial Agesmentioning

confidence: 99%

“…The full Eulerian description of the age field requires the introduction of a distribution of the ages of these particles. The appropriate framework is therefore five-dimensional, i.e., space × time × age (Bolin and Rodhe 1973;Hall and Plumb 1994;Delhez et al 1999;Ginn 1999;Haine and Hall 2002). While special techniques can be used to work in this five-dimensional space Cornaton 2012), this complexity is avoided in most Eulerian studies by resorting to the steady state hypothesis (e.g., Holzer and Hall 2000;Khatiwala et al 2009) or by considering only the mean value of the ages of the particles in a water parcel.…”

Section: Introductionmentioning

confidence: 99%

“…In the framework of their Constituent-oriented Age and Residence Time theory (CART, www.climate.be/CART), Delhez et al (1999) and derived a system of two equations allowing for the straightforward computation of the mean age of every seawater constituent, including substances involved in bio-geochemical reactions. The first equation is just the basic transport equation for the constituent, including appropriate reaction terms when necessary.…”

Section: Introductionmentioning

confidence: 99%

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Partial ages: diagnosing transport processes by means of multiple clocks

Mouchet

Cornaton²,

Deleersnijder

et al. 2016

Ocean Dynamics

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The concept of age is widely used to quantify the transport rate of tracers -or pollutants -in the environment. The age focuses only on the time taken to reach a given location and disregards other aspects of the path followed by the tracer parcel. To keep track of the subregions visited by the tracer parcel along this path, partial ages are defined as the time spent in the different subregions. Partial ages can

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Kinematics of age mixing in advection-dispersion models

2013

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[1] This paper investigates age mixing processes arising in advection-dispersion models, where large-scale travel and residence time distributions can be explicitly calculated based on the underlying velocity field. In particular, we analyze spatially integrated age mixing dynamics by comparing the age distributions of the storage and of the outflow(s). The relevance of the work lies in the impact of age mixing dynamics on the shape of travel time distributions (TTDs), which ultimately control the long-term memory of catchment transport processes. We set up a theoretical framework that bridges previous Lagrangian and Eulerian water age theories in heterogeneous media. The framework allows for the analysis of the dynamical connection between water age distributions in large-scale volume and flux samples. Theoretical advances are then illustrated through the application to a finite one-dimensional domain with constant advection and dispersion coefficient. Therein, we analyze the type of mixing emerging for different P eclet numbers and diverse spatiotemporal patterns of solute input. We find that in spite of the enhanced nonstationarity of TTDs, the type of mixing is markedly invariant. Moreover, for relatively low P eclet numbers the different ages available in the control volume are systematically removed from the domain at a rate nearly proportional to their relative abundance (random sampling). Emerging large-scale patterns of age mixing yield theoretical and practical implications for watershed hydrology, where TTDs can be used to infer general patterns of catchment response across scales.Citation: Benettin, P., A. Rinaldo, and G. Botter (2013), Kinematics of age mixing in advection-dispersion models, Water Resour.

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Toward a general theory of the age in ocean modelling

Cited by 216 publications

References 16 publications

On transit-time distributions in unsteady circulation models

On transit-time distributions in unsteady circulation models

Partial ages: diagnosing transport processes by means of multiple clocks

Kinematics of age mixing in advection-dispersion models

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