Simulation of the nonlinear dynamic interactions between waves, a submerged breakwater and the seabed

Abstract This study employed direct numerical simulation to simulate the fully nonlinear interaction between the water waves, the submerged breakwater, and the seabed under differing wave conditions. In the numerical simulation, the laminar flow condition in the seabed was applied to evaluate the more exact fluid resistance acting on the porous media. Varying incident wave conditions were applied to the flow field resulting from the wave–structure–seabed interaction, and the variation in the pore water pressure beneath the submerged breakwater was investigated along the cross-section of the submerged breakwater. Structural safety and scouring were also considered on the basis of the numerical results for the flow field around the structure and the variation of the pore water pressure.

[1]  M. Biot.  General Theory of Three‐Dimensional Consolidation , 1941 .

[2]  Norimi Mizutani,et al.  Estimation method of stable weight of spherical armor unit of a submerged wide-crown breakwater , 1996 .

[3]  Koji Kawasaki,et al.  NUMERICAL SIMULATION OF BREAKING AND POST-BREAKING WAVE DEFORMATION PROCESS AROUND A SUBMERGED BREAKWATER , 1999 .

[4]  T. Sakakiyama,et al.  NUMERICAL SIMULATION OF NONLINEAR WAVE INTERACTING WITH PERMEABLE BREAKWATERS , 1993 .

[5]  S. Ergun.  Fluid flow through packed columns , 1952 .

[6]  Dong-Sheng Jeng,et al.  NON‐LINEAR WAVE‐INDUCED RESPONSE OF POROUS SEABED: A FINITE ELEMENT ANALYSIS , 1997 .

[7]  M. Gent,et al.  Porous Flow through Rubble-Mound Material , 1995 .

[8]  Munehiko Hinatsu.  NUMERICAL SIMULATION OF UNSTEADY VISCOUS NONLINEAR WAVES USING MOVING GRID SYSTEM FITTED ON A FREE SURFACE , 1992 .

[9]  Dong-Soo Hur.  Deformation of multi-directional random waves passing over an impermeable submerged breakwater installed on a sloping bed , 2004 .

[10]  D. Jeng.  Wave-induced sea floor dynamics , 2003 .

[11]  Jacob H. Masliyah,et al.  Non-linear flows in porous media , 1999 .

[12]  P. Roache.  Perspective: A Method for Uniform Reporting of Grid Refinement Studies , 1994 .

[13]  Patrick J. Roache,et al.  Verification and Validation in Computational Science and Engineering , 1998 .

[14]  Hans Sellmeijer,et al.  On the response of a poro-elastic bed to water waves , 1978, Journal of Fluid Mechanics.

[15]  Dong-Soo Hur,et al.  Numerical estimation of the wave forces acting on a three-dimensional body on submerged breakwater , 2003 .

[16]  Inigo J. Losada,et al.  Interaction of non-breaking directional random waves with submerged breakwaters , 1996 .

[17]  Robert G. Dean,et al.  Water wave mechanics for engineers and scientists , 1983 .

[18]  Inigo J. Losada,et al.  3-D non-breaking regular wave interaction with submerged breakwaters , 1996 .

[19]  Michael Brorsen,et al.  Source generation of nonlinear gravity waves with the boundary integral equation method , 1987 .

[20]  Ayman Mohamed Abd El-Fattah Mostafa El-Degwi.  Inergrated nonlinear dynamic interaction among waves, structure and seabed , 1998 .

[21]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[22]  Norimi Mizutani,et al.  Nonlinear regular wave, submerged breakwater and seabed dynamic interaction , 1998 .

[23]  Kazuo Nadaoka,et al.  Development of a numerical wave tank for analysis of nonlinear and irregular wave field , 1991 .

[24]  O. Madsen,et al.  Wave-induced pore pressures and effective stresses in a porous bed , 1978 .