Current Effects on Nonlinear Wave Scattering by a Submerged Plate

AbstractOn the basis of a time-domain higher-order boundary element method, a two-dimensional fully nonlinear numerical wave flume is developed to investigate the nonlinear interactions between a regular wave and a submerged horizontal plate in the presence of uniform currents. A two-point method is used to discriminate bound (i.e., nonlinearly forced by and coupled to free waves) and free harmonic waves propagating upstream and downstream from the structure. The proposed model is verified against experimental and other numerical data for wave-current interaction without obstacles and nonlinear wave scattering by a submerged plate in the absence of currents. A first-order analysis shows that the reflection coefficient increases in the following current (i.e., current in the same direction as the incident wave) and decreases in the opposing current (i.e., current in the opposite direction to the incident wave). Moreover, the plate length for the maximum reflection to occur is not sensitive to the current. ...

[1]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[2]  John Grue,et al.  Nonlinear water waves at a submerged obstacle or bottom topography , 1992, Journal of Fluid Mechanics.

[3]  Weoncheol Koo,et al.  Current Effects on Nonlinear Wave-Body Interactions by a 2D Fully Nonlinear Numerical Wave Tank , 2007 .

[4]  Q. Chen,et al.  Current Effects on Nonlinear Interactions of Shallow-Water Waves , 1999 .

[5]  H. Cheong,et al.  Reflection and transmission characteristics of regular and random waves from a submerged horizontal plate , 1989 .

[6]  Soon Keat Tan,et al.  Nonlinear scattering of non-breaking waves by a submerged horizontal plate: Experiments and simulations , 2009 .

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

[8]  Katsuji Tanizawa.  Long Time Fully Nonlinear Simulation of Floating Body Motions with Artificial Damping Zone , 1996 .

[9]  Norimi Mizutani,et al.  Numerical modeling of dynamic responses and mooring forces of submerged floating breakwater , 2006 .

[10]  Jurjen A. Battjes,et al.  Experimental investigation of wave propagation over a bar , 1993 .

[11]  Mana Patarapanich,et al.  Maximum and Zero Reflection from Submerged Plate , 1984 .

[12]  Vincent Rey,et al.  Forces and moment on a horizontal plate due to regular and irregular waves in the presence of current , 2011 .

[13]  Vincent Rey,et al.  Wave scattering by a submerged plate in presence of a steady uniform current , 2002 .

[14]  P. Guével,et al.  Techniques nouvelles de brise houle et de protection des sites côtiers. I: Le phénomène d'un mur d'eau oscillant et son application pour protéger un site côtier soumis à l'action de la houle , 1986 .

[15]  F. Bretherton,et al.  Wavetrains in inhomogeneous moving media , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  R. E. Baddour,et al.  Interaction of higher-order water waves with uniform currents , 1990 .

[17]  Dezhi Ning,et al.  Numerical simulation of fully nonlinear irregular wave tank in three dimension , 2007 .

[18]  Bin Teng,et al.  A comparison of two methods for calculating solid angle coefficients in a BIEM numerical wave tank , 2010 .

[19]  J. Brossard,et al.  Experimental investigation of the harmonic generation by waves over a submerged plate , 2001 .

[20]  Aydoğan Özdamar,et al.  An experimental study on the efficiency of the submerged plate wave energy converter , 2007 .

[21]  J. Grue,et al.  Propulsion of a foil moving in water waves. , 1988, Journal of Fluid Mechanics.

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

[23]  J. Liggett,et al.  The Boundary Integral Equation Method for Porous Media Flow , 1982 .

[24]  J. Brossard,et al.  Higher harmonics induced by a submerged horizontal plate and a submerged rectangular step in a wave flume , 2009 .

[25]  R. E. Baddour,et al.  Deformation of monochromatic water wave trains propagating over a submerged obstacle in the presence of uniform currents , 2008 .

[26]  Seung-Ho Shin,et al.  Numerical simulation of interactions between water waves and inclined-moored submerged floating breakwaters , 2013 .

[27]  D. G. Hurley,et al.  Long surface waves incident on a submerged horizontal plate , 1977, Journal of Fluid Mechanics.

[28]  M. Zaman.  Boundary element technique in engineering: C. A. Brebbia Butterworths, Boston, 1980, $39.95 , 1982 .

[29]  R. Cengiz Ertekin,et al.  On the Reverse Flow Beneath a Submerged Plate Due to Wave Action , 2006 .