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On the behaviour of the residence time at the bottom of the mixed layer
Deleersnijder, E.; Beckers, J.-M.; Delhez, E.J.M. (2006). On the behaviour of the residence time at the bottom of the mixed layer. Environ. Fluid Mech. 6(6): 541-547. dx.doi.org/10.1007/s10652-006-9003-6
In: Environmental Fluid Mechanics. Springer: London; Dordrecht; Boston. ISSN 1567-7419; e-ISSN 1573-1510, more
Peer reviewed article  

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Keywords
    Layers > Water column > Mixed layer > Bottom mixed layer
    Residence time
    Marine/Coastal
Author keywords
    adjoint model; mixed mayer; pycnocline; residence time

Authors  Top 
  • Deleersnijder, E., more
  • Beckers, J.-M., more
  • Delhez, E.J.M., more

Abstract
    To understand why the findings of Deleersnijder et al. [(2006), Environ Fluid Mech 6: 25-42] -the residence time in the mixed layer in not necessarily zero at the pycnocline- are consistent with those of Delhez and Deleersnijder [(2006), Ocean Dyn 56:139-150] -the residence time in a control domain vanishes at the open boundaries of this control domain-, it is necessary to consider a control domain that includes part of the pycnocline, in which the eddy diffusivity is assumed to be zero. Then, depending on the behaviour of the eddy diffusivity near the bottom of the mixed layer, the residence time may be seen to exhibit a discontinuity at the interface between the mixed layer and the pycnocline. If such a discontinuity exists, the residence time is non-zero in the former and zero in the latter. This is illustrated by analytical solutions obtained under the assumption that the eddy diffusivity is constant in the mixed layer.

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