Iteration Coupling Simulation of Random Waves and Wave-Induced Currents

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.

[1]  J. A. Battjes,et al.  ENERGY LOSS AND SET-UP DUE TO BREAKING OF RANDOM WAVES , 1978 .

[2]  Takao Yamashita,et al.  A Model of Undertow in the Surf Zone , 1988 .

[3]  C. Vincent,et al.  REFRACTION-DIFFRACTION OF IRREGULAR WAVES OVER A MOUND , 1989 .

[4]  Nicholas C. Kraus,et al.  Numerical Model of Longshore Current for Bar and Trough Beaches , 1991 .

[5]  R. Deigaard,et al.  Mechanics Of Coastal Sediment Transport , 1992 .

[6]  William R. Dally,et al.  A modeling investigation of the breaking wave roller with application to cross‐shore currents , 1995 .

[7]  Zeki Demirbilek,et al.  CGWAVE: a coastal surface water wave model of the mild slope equation , 1998 .

[8]  N. Booij,et al.  A third-generation wave model for coastal regions-1 , 1999 .

[9]  Zeki Demirbilek,et al.  BOUSS-2D: a boussinesq wave model for coastal regions and harbors, Report 1, Theoretical background and user's manual , 2001 .

[10]  Hajime Mase.  Multi-Directional Random Wave Transformation Model Based on Energy Balance Equation , 2001 .

[11]  James T. Kirby,et al.  Chapter 1 Boussinesq models and applications to nearshore wave propagation, surf zone processes and wave-induced currents , 2003 .

[12]  Yong-Sik Cho,et al.  Effects of breaking-induced currents on refraction-diffraction of irregular waves over submerged shoal , 2004 .

[13]  Fei Liu,et al.  Model Description and Validation , 2006 .

[14]  Moe Key.  Depth-dependent expression of obliquely incident wave induced radiation stress , 2007 .

[15]  John C. Warner,et al.  Development of a three-dimensional, regional, coupled wave, current, and sediment-transport model , 2008, Comput. Geosci..

[16]  Hajime Mase,et al.  CMS-Wave: A nearshore spectral wave processes model for coastal inlets and navigation projects , 2008 .

[17]  Hajime Mase,et al.  Implementation and Evaluation of Alternative Wave Breaking Formulas in a Coastal Spectral Wave Model , 2008 .

[18]  Zheng Jin-hai.  Numerical Simulation of Spatial Lag Between Wave Breaking Point and Location of Maximum Wave-Induced Current , 2009 .

[19]  John C. Warner,et al.  Comparing a quasi-3D to a full 3D nearshore circulation model: SHORECIRC and ROMS , 2009 .

[20]  Chae Ho Lim,et al.  Evolution of waves and currents over a submerged laboratory shoal , 2009 .

[21]  Zheng,et al.  Numerical study on vertical structures of undertow inside and outside the surf zone , 2009 .

[22]  Zhang Chi,et al.  Evaluation of Diffraction Predictability in Two Phase Averaged Wave Models , 2010 .

[23]  Jinhai Zheng,et al.  Spectral wave transformation model for simulating refraction-diffraction with strongly reflecting coastal structures , 2011 .

[24]  Mingxiao Xie.  Establishment, validation and discussions of a three dimensional wave-induced current model , 2011 .

[25]  Yongming Shen,et al.  Development and validation of a three-dimensional, wave-current coupled model on unstructured meshes , 2011 .

[26]  Fabrice Ardhuin,et al.  On the coupling of wave and three-dimensional circulation models: Choice of theoretical framework, practical implementation and adiabatic tests , 2011 .

[27]  John C. Warner,et al.  Implementation and modification of a three-dimensional radiation stress formulation for surf zone an , 2011 .

[28]  Robert C. Thomas,et al.  Verification and Validation of the Coastal Modeling System: Report 2: CMS-Wave , 2012 .