Abstract
There are two different modeling approaches which have been proposed and utilized to derive residual currents: the first approach is equivalent to deducing residual currents from current-meter records using filtering techniques or time averages of time-series records to remove tidal variations; in the second approach, filters or time averages over several tidal cycles are applied to the hydrodynamic equations to generate the governing equations for residual circulation. Based on the latter, both the baroclinic dynamic models of residual circulation are proposed, of which one is a two-dimensional transport model and the other is a three-dimensional model with variable eddy viscosity. The two-dimensional transport model is a direct generalization from the barotropic model of residual circulation presented by Nihoul and Randy (1975) and Heaps (1978) to the baroclinic model. In the three-dimensional model with variable eddy viscosity, using a Sturm-Liouville system adopted in the reference [5], the nondimensional problem for residual circulation reduces to the nondimensional problem of the elevation and the expression of residual currents.
It should be pointed out that both the baroclinic models developed in the present paper are confined to describe the Eulerian residual circulation only.
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Shizuo, F., Pangen, X. & Shuzhen, Z. The baroclinic residual circulation in shallow seas. Chin. J. Ocean. Limnol. 2, 49–60 (1984). https://doi.org/10.1007/BF02888391
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DOI: https://doi.org/10.1007/BF02888391