A Numerical Model for Nearshore Circulation Including Convective Accelerations and Lateral Mixing.
DELAWARE UNIV NEWARK DEPT OF CIVIL ENGINEERING
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A finite difference model for predicting the nearshore circulation due to wind and waves is presented which attempts to solve the same problem as an earlier model created by Birkemeier and Dalrymple 1975. Their model iteratively solved the linear set of conservation equations of both mass and momentum, which were time averaged over one wave period and depth integrated, for mean velocities and free surface displacements. The wave characteristics used in the momentum equations were found using the wave refraction and shoaling routines, including wave-current interaction, developed by Noda, et al. 1974. The model also included a linear bottom friction formulation as well as a surface wind stress capability. The present model discussed herein includes the addition of convective accelerations, horizontal mixing and a quadratic bottom friction term in the conservation of momentum equations. This bottom friction term is exact in the sense that it includes the velocity vectors due to both mean and wave-induced currents. The model is applied to the cases of a single wave train impinging on a plane beach, a barred profile, and a bottom with a periodically spaced rip channel.
- Physical and Dynamic Oceanography
- Numerical Mathematics