Radiation stress due to ocean waves and the resulting currents and set-up/set-down

The authors have developed a model to predict the radiation stresses in the coastal zone and to estimate currents and set-up/set-down of mean sea level. The values of radiation stress are calculated from velocity potential, which can be obtained by analytical means or from a finite element model of the elliptic extended mild slope equation depending on the complexity of the situation in question. The values of radiation stress are then input into a hydrodynamic model which gives the resulting set-up/set-down and currents caused by these stresses. The developed model includes convective acceleration and bottom friction. The radiation stress results of the model have been compared with analytical results and published values. Results for set-up/set-down and currents have been compared with published results for seven other similar models. The model has been compared with published results for set-up/set-down and currents created in the vicinity of a detached breakwater and also around a conical island. The results of the authors’ model compare well with the analytical results, and published results for similar models.