Residence time in a semi-enclosed domain from the solution of an adjoint problem

Delhez, Eric J. M.;Heemink, Arnold W.;Deleersnijder, Eric
(2004) Estuarine, Coastal and Shelf Science — Vol. 61, n° 4, p. 691-702 (2004)

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  • Delhez, Eric J. M.Université de Liège
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  • Heemink, Arnold W.Delft University of Technology
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Abstract
The residence time measures the time spent by a water parcel or a pollutant in a given water body and is therefore a widely used concept in environmental studies. While many previous studies rely on severe hypotheses (assuming stationarity of the flow and/or neglecting diffusion) to evaluate the residence time, the paper introduces a general method for computing the residence time and/or the mean residence time without such simplifying hypotheses. The method is based on the resolution of an adjoint advection-diffusion problem and is therefore primarily meant to be used with numerical models. The method and its implications are first introduced using a simplified one-dimensional analytical model. The approach is then applied to the diagnostic of the three-dimensional circulation on the Northwest European Continental Shelf. (C) 2004 Elsevier Ltd. All rights reserved.
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Delhez, E. J. M., Heemink, A. W., & Deleersnijder, E. (2004). Residence time in a semi-enclosed domain from the solution of an adjoint problem. Estuarine, Coastal and Shelf Science, 61(4), 691-702. https://doi.org/10.1016/j.ecss.2004.07.013 (Original work published 2004)