Burchard, Hans Recalculation of surface slopes as forcing for numerical water column models of tidal flow. (English) Zbl 0986.76056 Appl. Math. Modelling 23, No. 10, 737-755 (1999). From the summary: We present a method for forcing numerical one-dimensional (1D) water column models of turbulent tidal flows. It needs as an input time series of water depth and velocity at one point in the water column. These time series are here interpreted as indirect measurements of surface slope. The method is based on an operator splitting technique as discretization in time in order to guarantee exact reproduction of the input data. For simple two-dimensional flow in the \(xz\) plane, a parametrization of horizontal advection is given which slightly improves the results. This new method is validated against the performance of a three-dimensional estuarine model from which forcing data for the 1D model have been extracted. Cited in 1 Document MSC: 76M20 Finite difference methods applied to problems in fluid mechanics 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 86A05 Hydrology, hydrography, oceanography Keywords:one-dimensional water column models; Eastern Scheldt; vertical mixing; pressure gradient force; turbulent tidal flows; time series; operator splitting technique; horizontal advection; three-dimensional estuarine model Software:GETM PDFBibTeX XMLCite \textit{H. Burchard}, Appl. Math. Modelling 23, No. 10, 737--755 (1999; Zbl 0986.76056) Full Text: DOI References: [1] Baumert, H.; Radach, G., Hysteresis of turbulent kinetic energy in nonrotational tidal flows: A model study, J. Geophys. Res., 97, 3669-3677 (1992) [2] Burchard, H.; Baumert, H., On the performance of a mixed layer model based on the \(k-ϵ\) turbulence closure, J. Geophys. Res., 100, 8523-8540 (1995) [3] H. 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