Recalculation of surface slopes as forcing for numerical water column models of tidal flow.

*(English)*Zbl 0986.76056From 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.

##### 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:

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\textit{H. Burchard}, Appl. Math. Modelling 23, No. 10, 737--755 (1999; Zbl 0986.76056)

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##### References:

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