Numerical modeling of multi-directional random wave transformation in wave-current coexisting water areas

Based upon the wave action balance equation,a numerical predicting model is developedfor multi-directional random wave transformation in the wave-current coexistingfield,in which the diffraction effect and the Doppler shift of dispersion relation are taken into account.A bore based formulation is used to parameterize the energy dissipation associated with coupled current and depth limited wave breaking.The governing equation is discretized by a forward marching first order upwind finite difference method.The wave height distribution of uni-and multi-directional incident random waves are calculated with and without considering the nearshore currents effect.Results show that the predictions considering the current effect produce a preferable fit to the experimental data and perform well in simulating the wave height accretion due to rip currents.The mutual model-data comparisons reveal that the present model is applicable for the random waves propagating in wave-current coexisting water areas.