摘要

For the simulation of the three-dimensional (3D) nearshore circulation, a 3D hydrodynamic model is developed by taking into account the depth-dependent radiation stresses. Expressions for depth-dependent radiation stresses in the Cartesian coordinates are introduced on the basis of the linear wave theory, and then vertical variations of depth-dependent radiation stresses are discussed. The 3D hydrodynamic model of ELCIRC (Eulerian-Lagrangian CIRCulation) is extended by adding the terms of the depth-dependent or depth-averaged radiation stresses in the momentum equations. ne wave set-up, set-down and undertow are simulated by the extended ELCIRC model based on the wave fields provided by the experiment or the REF/DIF wave model. The simulated results with the depth-dependent and depth-averaged radiation stresses both show good agreement with the experimental data for wave set-up and set-down. The undertow profiles predicted by the model with the depth-dependent radiation stresses are also consistent with the experimental results, while the model with the depth-averaged radiation stresses can not reflect the vertical distribution of undertow.