Wave-current propagation over a frictional topography

In this paper the parabolic approximation model based on mild-slope equatio n is used to study wave propagation over a slowly varying and frictional to pography under wave-current interaction. A governing equation considering t he friction effects is derived by the authors for the first time. A simplif ied form for the rate of wave energy dissipation is presented on the basis of the wave-current action conservation equation and the bottom friction mo del given by Yoo and O'connor (1987). Examples reveal that the present comp utational method can be used for the calculation of wave elements for actua l engineering projects with large water areas.