Numerical and experimental study on a 2-D floating body under extreme wave conditions

Abstract This paper presents further developments of a constrained interpolation profile (CIP)-based Cartesian grid method [29] to model nonlinear interactions between extreme waves and a floating body, which is validated against to a newly performed experiment. In the experiment, three kinds of waves (regular wave, focused wave and combined regular and focused wave) are generated and a box-shaped floating body with a superstructure is used. Validation computations on the experiment are performed by the improved CIP-based Cartesian grid method, in which the THINC/WLIC scheme (THINC: tangent of hyperbola for interface capturing; WLIC: weighed line interface calculation), is used for interface capturing. The highly nonlinear wave–body interactions, including large amplitude body motions and water-on-deck are numerically investigated through implementation of focused wave input to the CIP-based method. Computations are compared with experimental results and good agreement is achieved. The effects of the water-on-deck phenomena and different input focus positions on the body response are also dealt with in the research.

[1]  Changhong Hu,et al.  Numerical Simulation of Extreme Wave Generation Using VOF Method , 2010 .

[2]  Masashi Kashiwagi,et al.  Application of CIP Method for Strongly Nonlinear Marine Hydrodynamics , 2006 .

[3]  Francis H. Harlow,et al.  Numerical Study of Large‐Amplitude Free‐Surface Motions , 1966 .

[4]  Eng Soon Chan,et al.  A Comparison of Two- and Three-Dimensional Wave Breaking , 1998 .

[5]  Kuang-An Chang,et al.  Application of dam-break flow to green water prediction , 2007 .

[6]  Masashi Kashiwagi,et al.  Numerical simulation of wave-induced nonlinear motions of a two-dimensional floating body by the moving particle semi-implicit method , 2008 .

[7]  Shuxiu Liang,et al.  Validation of the initialization of a numerical wave flume using a time ramp , 2010 .

[8]  Kensuke Yokoi,et al.  Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm , 2007, J. Comput. Phys..

[9]  Xi-zeng Zhao,et al.  A Numerical Method for Nonlinear Water Waves , 2009 .

[10]  Yoshimi Goda,et al.  A COMPARATIVE REVIEW ON THE FUNCTIONAL FORMS OF DIRECTIONAL WAVE SPECTRUM , 1999 .

[11]  Stephan T. Grilli,et al.  Numerical study of three-dimensional overturning waves in shallow water , 2006, Journal of Fluid Mechanics.

[12]  Tom E. Baldock,et al.  A laboratory study of nonlinear surface waves on water , 1996, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[13]  Dieter Dinkler,et al.  Fluid-structure coupling within a monolithic model involving free surface flows , 2005 .

[14]  Efim Pelinovsky,et al.  Physical Mechanisms of the Rogue Wave Phenomenon , 2003 .

[15]  Akihiro Kanai,et al.  Finite-difference simulation of green water impact on fixed and moving bodies , 2005 .

[16]  Xi-zeng Zhao,et al.  A numerical study of the transformation of water waves generated in a wave flume , 2009 .

[17]  C. Peskin Flow patterns around heart valves: A numerical method , 1972 .

[18]  Zhao Xi-zeng Efficient Focusing Models for Generation of Freak Waves , 2009 .

[19]  Feng Xiao,et al.  Regular Article: A Computational Model for Suspended Large Rigid Bodies in 3D Unsteady Viscous Flows , 1999 .

[20]  Harald E. Krogstad,et al.  Oceanic Rogue Waves , 2008 .

[21]  Pierre Ferrant,et al.  3-D HOS simulations of extreme waves in open seas , 2007 .

[22]  Odd M. Faltinsen,et al.  Shipping of water on a two-dimensional structure , 2005, Journal of Fluid Mechanics.

[23]  Q. W. Ma,et al.  Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method , 2007, J. Comput. Phys..

[24]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[25]  Masashi Kashiwagi,et al.  Two-dimensional numerical simulation and experiment on strongly nonlinear wave–body interactions , 2009 .

[26]  Numerical simulation of focused wave generation using CIP method , 2010 .

[27]  Feng Xiao,et al.  A simple algebraic interface capturing scheme using hyperbolic tangent function , 2005 .

[28]  T. Yabe,et al.  The constrained interpolation profile method for multiphase analysis , 2001 .

[29]  D. Dinkler,et al.  Fluid-structure coupling within a monolithic model involving free surface flows , 2005 .

[30]  Charles S. Peskin,et al.  Flow patterns around heart valves , 1973 .

[31]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[32]  Masashi Kashiwagi,et al.  A CIP-based method for numerical simulations of violent free-surface flows , 2004 .

[33]  M. C. Davis,et al.  Testing Ship models in Transient Waves , 1966 .

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

[35]  S. Zalesak Fully multidimensional flux-corrected transport algorithms for fluids , 1979 .