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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 205376, 13 pages
http://dx.doi.org/10.1155/2012/205376
Research Article

Iteration Coupling Simulation of Random Waves and Wave-Induced Currents

1State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China
2College of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China
3Department of Civil Engineering, University of Queensland, St Lucia, Brisbane, QLD 4072, Australia

Received 18 June 2012; Accepted 20 August 2012

Academic Editor: Kai Diethelm

Copyright © 2012 Jinhai Zheng 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.

Abstract

A two-way coupling algorithm for wave-current interaction is developed and implemented into a nearshore circulation model to investigate the effects of fully wave-current interaction on irregular wave transformation over an elliptic shoal. The wave field is simulated by a spectral wave model WABED, and the wave-induced current is solved by a quasi-three-dimensional model WINCM. The surface roller effects are represented in the formulation of surface stress, and the roller characteristics are solved by a roller evolution model. The proposed two-way coupling algorithm can describe both the generation of wave-induced current and the current-induced wave transformation, which is more physically reasonable than the one-way approaches. The model test with a laboratory experiment shows that wave-induced currents have an important influence on the wave transformation, for example, the wave energy defocusing due to the strong jet-like current along the centerline of the shoal. It is revealed that the accuracy of simulated wave field can be significantly improved by taking into account the two-way wave-current interaction.