Abstract
Recent acoustic Doppler current profiler (ADCP)-measurements in the Scheldt estuary near Antwerp, Belgium, revealed anomalous, i.e. anti-clockwise circulations in a left bend during the major part of the flood period; these circulations were established shortly after the turn of the tide. During ebb, anti-clockwise circulations persisted, as predicted by classical theory. These data were analysed with a 3D and a 1DV-model. The 3D simulations reveal that the anomalous circulations are found when salinity is included in the computations—without salinity “normal” circulations were found. From analytical and 1DV simulations, it is concluded that a longitudinal salinity gradient \({\partial S} \mathord{\left/ {\vphantom {{\partial S} {\partial x}}} \right. \kern-\nulldelimiterspace} {\partial x}\) may induce a near-bed maximum in flow velocity reversing the direction of the secondary currents. The 1DV-model was then used to assess the contribution of various processes one by one. It was found that because of a reduction in vertical mixing, the vertical velocity profile is not at equilibrium during the first phase of accelerating tide, further enhancing the effects of \({\partial S} \mathord{\left/ {\vphantom {{\partial S} {\partial x}}} \right. \kern-\nulldelimiterspace} {\partial x}\). A small vertical salinity gradient \({\partial S} \mathord{\left/ {\vphantom {{\partial S} {\partial z}}} \right. \kern-\nulldelimiterspace} {\partial z}\) appeared to have a very large effect as the crosscurrents of the secondary circulations induced by \({\partial S} \mathord{\left/ {\vphantom {{\partial S} {\partial x}}} \right. \kern-\nulldelimiterspace} {\partial x}\) became an order of larger magnitude. However, at the site under consideration, the effects of transverse salinity gradients, generated by differential advection in the river bend, were dominant: adverse directions of the secondary circulations were found even when the vertical velocity profile became more regular with a more or less logarithmic shape, i.e. when the effects of \({\partial S} \mathord{\left/ {\vphantom {{\partial S} {\partial x}}} \right. \kern-\nulldelimiterspace} {\partial x}\) and \({\partial S} \mathord{\left/ {\vphantom {{\partial S} {\partial z}}} \right. \kern-\nulldelimiterspace} {\partial z}\) did not play a dominant role anymore. It is argued that data on the secondary velocity structure, which can be measured easily owing to today’s developments in ADCP equipment, may serve as an indicator for the accuracy at which the salinity field is computed with 3D numerical models. Moreover, the large effect of the salinity structure on the velocity field must have a large impact on the morphological development of estuaries, which should therefore be accounted for in morphological modelling studies.
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Notes
We define our positive x-axis in up-estuary direction. In the remainder of this paper, the bend’s orientation is defined with respect to this axis, independent of flow direction, i.e. always in flood direction.
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We would like to thank “Het Ministerie van de Vlaamse Gemeenschap” (Ministry of the Flemish Community) for financing this study and their approval to publish the results.
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Winterwerp, J.C., Wang, Z.B., van der Kaaij, T. et al. Flow velocity profiles in the Lower Scheldt estuary. Ocean Dynamics 56, 284–294 (2006). https://doi.org/10.1007/s10236-006-0063-4
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DOI: https://doi.org/10.1007/s10236-006-0063-4