Journal of Applied Mathematics

Iteration Coupling Simulation of Random Waves and Wave-Induced Currents

Jinhai Zheng, Tianwen Wang, Gang Wang, Chenming Zhang, and Chi Zhang

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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.

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J. Appl. Math., Volume 2012 (2012), Article ID 205376, 13 pages.

First available in Project Euclid: 2 January 2013

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Zheng, Jinhai; Wang, Tianwen; Wang, Gang; Zhang, Chenming; Zhang, Chi. Iteration Coupling Simulation of Random Waves and Wave-Induced Currents. J. Appl. Math. 2012 (2012), Article ID 205376, 13 pages. doi:10.1155/2012/205376.

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