Numerical Simulation Of Nonlinear Wave Propagation

As water waves propagate from deep to shallow water, the waves will take series of transformation including shoaling, refraction, diffraction, reflection, breaking and energy dissipation due to the effects of topography and various hydraulic structures. Having the properties of nonlinearity and dispersion, Boussinesq-type equations have been shown to provide an accurate description of wave transformation in coastal regions.With the water depth assumed to be slowly varying and the ambient current velocity supposed to be uniform over depth, a new type of Boussinesq equations including utility velocity for nonlinear wave propagation incorporating wave-current interactions is given. The linear dispersion properties of the new equations and the accuracy of wave celerity are both determined by the choice of water level which is under still water surface. In the absence of ambient current, A 2% error in the wave celerity is reached atμ= 6.37 for z? = ?0 .2h andμ= 3.98 for z? = ?0 .5h (where is an arbitrary water depth level, z?μis the ratio of depth to wave length). At Fr = ?0.1, the...