Table of Contents
ISRN Civil Engineering
Volume 2013 (2013), Article ID 904180, 7 pages
Research Article

A Numerical Model of the Wave-Induced Currents in the Turbulent Coastal Zone

Faculty of Engineering, Cairo University, Giza 12613, Egypt

Received 16 February 2013; Accepted 24 March 2013

Academic Editors: I. Raftoyiannis and I. Smith

Copyright © 2013 O. Fahmy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A numerical model is developed, validated and applied to the turbulent coastal currents. The currents are driven by the sea surface slope and the radiation stresses of water waves. They are resisted by friction due to turbulent eddies and sea bottom. The k-ε model is used to model the turbulent stresses. Five simultaneous nonlinear partial differential equations govern the depth-averaged dynamics in the surf zone. An implicit finite-difference scheme is used to obtain an accurate numerical solution of the resulting initial-boundary value problem. It is tested against the case of straight coast with uniform bottom slope and a protective jetty. To investigate the actual wave-induced currents, the model is applied to simulate the currents for three real case studies. Results show that the model could be used to compute currents caused by the constructing coastal protection measures and could predict the locations of accretion and scouring.