Numerical Study of Interaction between Solitary Wave and Two Submerged Obstacles in Tandem

ABSTRACT Zhou, Q.; Zhan, J.-M., and Li, Y.-S., 2014. Numerical study of interaction between solitary wave and two submerged obstacles in tandem. In this work, a transient two-dimensional numerical model based on a Reynolds-averaged Navier–Stokes equation with a k − ϵ turbulence closure model and the volume of fluid method is used to study the interaction of a solitary wave with two impermeable submerged obstacles in tandem. The accuracy of the numerical model was first verified with test cases for which experimental data are available for comparison with the computed results. It is verified that the present numerical model can capture the free surface profile as well as predict the temporal variation of the velocity and vorticity fields accurately. Using this model, the effects of incident wave height and distance of separation between the two obstacles on the generation and evolution of vortices due to flow separation and drag forces on the obstacles are studied, and a parametric study on reflection, transmission, and dissipation coefficients is also included. The numerical results reveal that the rear obstacle might constrain the movement of the primary vortex on the lee side of the front obstacle but cannot reduce its strength. Also a tertiary counterclockwise vortex is generated. The wave energy dissipation in the case of two obstacles in tandem increases with the distance of separation between the two obstacles until some threshold, and the negative peak value of the drag coefficient of the front obstacle is larger than that of a single obstacle.

[1]  K. Lee,et al.  Application of Direct-Forcing IB-VOF Method to the Simulation of Wave Deformation by Submerged Structures , 2012 .

[2]  D. A. Barry,et al.  Air-water two-phase flow modeling of turbulent surf and swash zone wave motions , 2010 .

[3]  Y. Li,et al.  Numerical simulation of wave transformation and runup incorporating porous media wave absorber and turbulence models , 2010 .

[4]  Liang-hsiung Huang,et al.  Vortex shedding from a submerged rectangular obstacle attacked by a solitary wave , 2010, Journal of Fluid Mechanics.

[5]  Abbas Yeganeh-Bakhtiary,et al.  Steady streaming and flow turbulence in front of vertical breakwater with wave overtopping , 2010 .

[6]  Norimi Mizutani,et al.  Experimental study on scour occurring at a vertical impermeable submerged breakwater , 2008 .

[7]  Chang Lin,et al.  Laboratory Observation of Solitary Wave Propagating over a Submerged Rectangular Dike , 2006 .

[8]  Chang Lin,et al.  Vortex shedding induced by a solitary wave propagating over a submerged vertical plate , 2005 .

[9]  Ming-Jyh Chern,et al.  Interaction of nonlinear progressive viscous waves with a submerged obstacle , 2005 .

[10]  Tai-Wen Hsu,et al.  Using RANS to simulate vortex generation and dissipation around impermeable submerged double breakwaters , 2004 .

[11]  Kuang-An Chang,et al.  Two-dimensional flow characteristics of wave interactions with a fixed rectangular structure , 2004 .

[12]  P. Liu,et al.  Solitary wave runup and force on a vertical barrier , 2004, Journal of Fluid Mechanics.

[13]  Pengzhi Lin,et al.  A numerical study of solitary wave interaction with rectangular obstacles , 2004 .

[14]  Ching-Jer Huang,et al.  Structural permeability effects on the interaction of a solitary wave and a submerged breakwater , 2003 .

[15]  B. Mutlu Sumer,et al.  Scour around coastal structures: a summary of recent research $ , 2001 .

[16]  Kuang-An Chang,et al.  Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle , 2001 .

[17]  Kuang-An Chang,et al.  Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle: Part II: Cnoidal waves , 2001 .

[18]  Ching-Jer Huang,et al.  On the interaction of a solitary wave and a submerged dike , 2001 .

[19]  P. Liu,et al.  A numerical study of the evolution of a solitary wave over a shelf , 2001 .

[20]  Inigo J. Losada,et al.  Reflection and transmission of tsunami waves by coastal structures , 2000 .

[21]  Ching-Jer Huang,et al.  Wave deformation and vortex generation in water waves propagating over a submerged dike , 1999 .

[22]  M. Isaacson,et al.  Wave interactions with double slotted barriers , 1999 .

[23]  Jyh Hwa Chang,et al.  Flow Separation During Solitary Wave Passing Over Submerged Obstacle , 1998 .

[24]  Pengzhi Lin,et al.  A numerical study of breaking waves in the surf zone , 1998, Journal of Fluid Mechanics.

[25]  Francis C. K. Ting,et al.  Vortex generation in water waves propagating over a submerged obstacle , 1994 .

[26]  Stephan T. Grilli,et al.  Shoaling of Solitary Waves on Plane Beaches , 1994 .

[27]  Miguel A. Losada,et al.  Characteristics of Solitary Wave Breaking Induced by Breakwaters , 1994 .

[28]  D. Goring,et al.  Propagation of Long Waves onto Shelf , 1992 .

[29]  J. Dold,et al.  The interaction between a solitary wave and a submerged semicircular cylinder , 1990, Journal of Fluid Mechanics.

[30]  Dominique P. Renouard,et al.  Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle , 1987, Journal of Fluid Mechanics.

[31]  S. Orszag,et al.  Renormalization group analysis of turbulence. I. Basic theory , 1986 .

[32]  James E. Skjelbreia,et al.  Measurmment of Velocities in Solitary Waves , 1982 .

[33]  Chiang C. Mei,et al.  The transformation of a solitary wave over an uneven bottom , 1969, Journal of Fluid Mechanics.

[34]  Chiang C. Mei,et al.  Scattering of surface waves by rectangular obstacles in waters of finite depth , 1969, Journal of Fluid Mechanics.