Abstract

This paper describes the development, calibration and validation of a two-dimensional numerical model coupled waves and tidal currents. The model consists of two component models, namely, 2-D random wave model (RWM) including refraction-diffraction and 2-D depth-integrated shallow water model (DSWM). First of all, the random wave model (RWM), which the Wen's spectrum formulation is introduced, can simulate the random wave propagation with the unsteady-uneven tidal currents under the condition of a mild topography on a large scale. The energy losses of wave breaking and wave propagation against the tidal currents are also included. It is applied to two cases, the seabed of the semi-ellipsis slanting slope and the northern area of the Bohai Sea. Secondly, the 2-D depth-integrated shallow water model (DSWM) with waves uses an unstructured triangular grid, which fits topography and coastal line of complicated model domain, for the spatial integration of the water levels and velocities. An explicit numerical time stepping scheme is implemented. In model, the bottom shearing stress with interactions of wave and tide current, radiation stress and Coriolis force's influence are considered, thus implementing the waves and tidal currents coupling simulation. The horizontal eddy viscosity term is introduced so as to increase stability and accuracy. Because of the shallow depths in domain, the model deals with areas where flooding and drying occur. Finally, the model is applied to simulate the waves and tidal currents on the northern area of the Bohai Sea. Comparisons of modeled waves and tidal currents with measurements indicate good agreement and demonstrate the capability of the model as a forecasting tool.

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