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Water waves,wave-induced long-shore currents and movement of pollutants in waves and currents have been numerically studied based on the hyperbolic mild-slope equation,the shallow water equation,as well as the pollutant movement equation,and the numerical results have also been validated by experimental data. It is shown that the long-shore current velocity and wave set-up increase with the increasing incident wave amplitude and slope steepness of the shore plane; the wave set-up increases with the increasing incident wave period;and the pollutant morement proceeds more quiekly with the increasing incident wave amplitude and slope steepness of the shore palane. In surf zones,the long-shore currents induced by the inclined incident waves have effectively affected the pollutant movement.
Water waves, wave-induced long-shore currents and movement of pollutants in waves and currents have been numerically studied based on the hyperbolic mild-slope equation, the shallow water equation, as well as the pollutant movement equation, and the numerical results have also has been shown that the long-shore current velocity and wave set-up increase with the increasing incident wave amplitude and slope steepness of the shore plane; and the wave set-up increases with the increasing incident wave period; and the pollutant morement to more quiekly with the increasing incident wave amplitude and slope steepness of the shore palane. in surf zones, the long-shore currents induced by the inclined incident waves have effectively than the pollutant movement.