Proceedings. 22"^ International Workshop on Water Waves and Floating Bodies P Editors: Sime Malenica and Ivo Senjanovic

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1 P Proceedings 22"^ International Workshop on Water Waves and Floating Bodies Delft University of Technology Ship Hydromechanics Laboratory Library Mekelweg 2, 2628 CD Delft The Netherlands Phone: Fax: nder the auspices of the Croatia Academy of Sciences and Arts Scientific Council for Maritime Affairs April 2007, Plitvlce, CROATIA BUREAU VERITAS Editors: Sime Malenica and Ivo Senjanovic

2 22"^^ International Workshop on Water Waves and Floating Bodies Proceedings Editors: Sime Malenica and Ivo Senjanovic

3 ISBN: Published by: VIDICI d.o.o., Velika Rakovica, Samobor, Croatia April 2007

4 Foreword The International Workshop on Water Waves and Floating Bodies is an annual meeting of engineers and scientists with special interests in water waves and the effects of waves on floating or submerged bodies. The workshop was initiated over twenty years ago by Professor Nick Newman from MIT and Professor David Evans from Bristol University. Since its inception, the workshop has grown from strength to strength and annually brings together marine hydrodynamicists, naval architects, offshore and arctic engineers and other scientists and mathematicians, from both industry and academia, to discuss current research and practical problems in a focused week of activity. Attendance is restricted to the authors of submitted extended abstracts that are reviewed for acceptance by a small committee. These proceedings include the extended abstract for every presentation made at the 22"'' workshop. The proceedings of previous workshops are available online at ww\v.i'ina.ora:.uk thanks to the cooperation of the Royal Institution of Naval Architects. The list of the previous Workshops is shovm in the table below. 1st 16/02/ /02/1986 M.I.T (MA) USA 2nd 16/03/ /03/1987 Bristol U.K. 3rd 10/04/ /04/1988 M.I.T (MA) USA 4th 07/05/ /05/1989 Oystese Norway 5th 25/03/ /03/1990 Manchester U.K. 6th 14/04/ /04/1991 Woods Hole (MA) USA 7th 24/05/ /05/1992 Val de Reuil France 8th 23/05/ /05/1993 ; St John's Newfoundland Canada 9th 17/04/ /04/199 Kuju Japan 10th 02/04/ /04/1995 Oxford U.K. 11th 17/03/ /03/1996 Hamburg Germany 12th 16/03/ /03/1997 : Carry le Rouet ] France 13th 29/03/ /04/1998 Alphen aan den Rijn Netherland 14th 11/04/ /04/1999 Port Huron (MI) USA 15th 27/02/ /03/2000 Caesarea Israel 16th 22/04/ /04/2001 Hiroshima Japan 17th 14/04/ /04/2002 Cambridge U.K. 18th 06/04/ /04/2003 Le Croisic France 19th 28/03/ /03/2004 Cortona Italy 20th 29/05/ /06/2005 Longyearbyen Norway 21st 01/05/ /05/2006 Loughborough UK The 22" International Workshop on Water Waves and Floating Bodies was jointly organized by Bureau Veritas - Research Department and Faculty of Mechanical Engineering and Naval Architecture of Zagreb University. The workshop took place in Hotel Jezero at Plitvice Lakes in Croatia. Sime Malenica & Ivo Senjanovic

5 Makoto Ohkusu The 22" IWWWFB is dedicated to Professor Makoto Ohkusu who left us suddenly last year. Professor Ohkusu was a regular contributor to the Workshop, indeed he hosted the 9"^ IWWWFB in Kyushu. He travelled extensively, often with his family, lecturing and collaborating with colleagues around the world. After studying with Takao Inui at the University of Tokyo, Makoto began his prolific career at Kyushu University, working initially in association with the late Professor Fukuzo Tasai. Ohkusu performed seminal research on the hydrodynamic interactions among multiple floating bodies, which greatly contributed to the development of multi-hull ships and offshore platforms. Later he developed the unsteady wave-pattern analysis method, which provided a new technique for studying ships running with forward speed in waves. He also published many other noteworthy papers, concerning such topics as the nonlinear behaviour of a long flexible cable; a new evaluation method for the oscillating and translating Green fiinction; and its application to the boundary-value problem for the flow around ships. He performed extensive studies of the hydroelastic problems associated with very large floating structures such as floating airports. In 1981 Ohkusu was promoted as a Full Professor at Kyushu University. He served from 1997 to 1999 as the Director of the University's Research Institute of Applied Mechanics. Many students benefited from his tutelage and support. When he retired in 2001, an International Conference on 'Hydrodynamics in Ship and Ocean Engineering' was held in his honor. From 2004 to 2006 he served as the Director of the Marine Technology Center at the Japan Agency for Marine-Earth Science and Technology. We all remember Makoto Ohkusu, both for his kindness and the high quality of his work. His research and generous spirit have inspired us, and his absence is mourned by our community. V

6 22"** International Workshop on Water Waves and Floating Bodies CONTENTS Bennetts L.G., Biggs N.R.T. and Porter D. Wave scattering by a circular ice floe of variable thickness Bhattacharjee J., Karmakar D., and Sahoo T. 5 On transformation of flexural gravity waves Bingham H.B., Engsig-Karup A. P. and Lindberg O. 9 A high-order finite difference method for nonlinear wave-stmcture interaction Blenkinsopp CE. and ChapHn J.R. 13 Validity of small-scale physical models involving breaking waves Bredmose H., Peregrine D.H. and Hunt A. 17 Wave height? A study of the impact of wave groups on a coastal structure Breslin J.P. 21 Prediction of planing forces on prismatic hulls far exceeding expectations by inconsistent theory Casetta L. and Pesce CP. 25 Hamilton's principle for dissipative systems and Wagner's problem Chaplin J.R., Farley F.J.M. and Rainey R.CT. 29 Power conversion in the Anaconda WEC Chatjigeorgiou I.K. and Mavrakos S.A. 33 A semi-analytical formulation for the wave-current interaction problem with a vertical bottom-seated cylinder including square velocity terms Chen X.B. and Duan W.Y. 37 Formulations of low-frequency QTF by 0(Aa)) approximation Chung J.Y., Nahm J.C, Kang H.D. and Kwon S.H. 41 A novel experimental technique in Slamming Colicchio G., Greco M. and Faltinsen CM. 45 Influence of gaseous cavities in ship-hydrodynamic problems : a simplified study Delhommeau G., Noblesse F. and Guilbaud M. 49 Simple analytical approximation to a ship bow wave vii

7 22"' IVMWF-B, Plitvice. Croatia 2007 De S., and Mandal B.N. 53 Water wave scattering by two partially immersed barriers - an altemative method of solution Diebold L. 57 Study of the Neumann-Kelvin problem for one hemisphere Doctors L. J. 61 A test of linearity in the generation of ship waves Duan W.Y. and Dai Y.S. 65 Integration of the Time-Domain green fiinction Ducrozet G., Bonnefoy F., Le Touzé D. and Ferrant P. 69 Investigation of freak waves in large scale 3D Higher-Order spectral simulations Eatock Taylor R. and Meylan M.H. 73 Theory of scattering frequencies applied to near-frapping by cylinders Elkin J.D. and Yeung R.W. 77 Sway and roll hydrodynamics of twin rectangular cylinders Evans D.V. and Porter R. 81 Examples of motion trapped modes in two and three dimensions Fitzgerald C.J. and Mclver P. 85 Approximaring near-resonant wave motion using a mechanical oscillator model Forestier J.M. 89 Evolution equation of a potential flow with a free surface and moving solid boundaries Gazzola T. 93 A shape optimisation technique for the Wagner problem Gilloteaux J.C, Ducrozet G., Babarit A. and Clément A.H. 97 Non-linear model to simulate large amplitude motions : application to wave energy conversion Greaves D. 101 Numerical simulation of breaking waves and wave loading on a submerged cylinder Grue J. 105 Nonlinear wave-body interaction by a formulation in spectral space Harter R., Abrahams I.D. and Simon M.J. 109 The effect of surface tension on trapped modes in water wave problems viii

8 22"^ IWymFB, Plitvice. Croatia 2007 lafrati A. and Korobkin A.A. 113 Numerical analysis of initial stage of plate impact on water surface KashiwagiM. 117 Reciprocity relations of waves generated by an antisymmetric floating body Khabakhpasheva T.L and Wu G.X. 121 Coupled compressible and incompressible approach for jet impact onto elastic plate Klopman G., Dingemans M. W. and van Groesen B. 125 Propagation of wave groups over bathymetry using a variational Boussinesq model Korobkin A. and Malenica S 129 Steep wave impact onto elastic wall Malenica S., Senjanovic I., Tomasevic S. and Stumpf E. 133 Some aspects of hydroelastic issues in the design of ultra large container ships Malleron N., Scolan Y.-M. and Korobkin A.A. 137 Some aspects of a generalized Wagner model Miloh T. 141 Strucmral acoustics of a floating circular elastic plate Molin B., Kimmoun O. and Remy F. 145 Non-linear standing wave effects on the weather side of a wall with a narrow gap Nabergoj R. and Prpié-OrSic J. 149 A comparison of different methods for added resist mce prediction Nam B-W. and Kim Y. 153 Effects of sloshing on the motion response of LNG-FPSO in waves Newman J.N. 157 Trapping structures with linear mooring forces Noblesse F., Yang C. and Espinosa R. 161 Nearfield and farfield boundary-integral representations of free-surface flows Pinkster J.A. and Hermans A.J. 165 A rotating wing for the generation of energy from waves Pistani F. and Thiagarajan K. 169 Experimental campaign on a moored FPSO in complex bi-directional sea states Qiu W. and Peng H. 173 Numerical solution of body-exact problem in the Time Domain with a panel-free method ix

9 2Z-^ IWWWFB, Plitvice, Croatia 2007 Scolan Y.M., Kimmoun O., Branger H. and Remy F. 177 Nonlinear free surface motions close to a verrical wall Influence of a local varying bathymetry Sturova I.V. 181 Time-dependent hydroelastic response of an elastic plate floating on shallow water of variable depth Sun H. and Faltinsen O.M. 185 Hydrodynamic forces on a planing hull in forced heave or pitch motions in calm water Taylor P.H., Zang J., Walker A.G. and Eatock Taylor R. 189 Second order near-trapping for multi-column stmctures and near-flat QTFS Thompson L, Linton C. M. and Porter R. 193 A new approximation method for scattering by large arrays Tuitman J. and van Aanhold H. 197 Using generalized modes for time domain seakeeping calculations Vanden-Broeck J.-M., Parau E. and Cooker M. 201 Three-dimensional capillary-gravity waves generated by moving distinbances Zang J., Ning D., Liang Q., Taylor P.H., Borthwick A.G.L. and Eatock Taylor R. 203 Modelling wave-coastal structm-e interactions using a Cartesian cut cell method X

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