P r o c e e d i n g s. 15th International Workshop. Water Waves and Floating Bodies

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1 P r o c e e d i n g s 15th International Workshop on Water Waves and Floating Bodies 27 February 1 March 2000 Dan Caesarea ISRAEL Edited by T. Miloh & G. Zilman Faculty of Engineering Tel-Aviv University ISRAEL

2 Preface The 15 th International Workshop on Water Waves and Floating Bodies (IWWWFB) was organized by Prof. Touvia Miloh, Assoc. Dean Faculty of Engineering, Tel-Aviv University. The Workshop was held in the Dan Caesarea Hotel, Caesarea, Israel from the 27 th February to the 1 st March, A total of 49 abstracts were accepted for presentation. The abstracts were selected by a scientific committee consisting of T. Miloh and the organizers of the two previous workshops, Professors Robert Beck & William Schultz from the University of Michigan and Professor Aad Hermans of the Delft University of Technology. The following pages contain the extended abstracts. They are listed in alphabetical order of the first author s name. For the first time the abstracts of IWWWFB appear prior to the conference on the Web Site The 15 th IWWWFB was sponsored by: Tel-Aviv University, Faculty of Engineering Technion, Israel Institute of Technology Minerva Center for Nonlinear Physics of Complex Systems Henri Glasberg Extraordinary Chair for International Cooperation Gordon Center for Energy Studies Association of Engineers and Architects of Israel Office of Naval Research Europe T.M., Feb. 2000, Tel-Aviv ISBN Copyright All rights reserved. This work relates to Department of the Navy Grant N issued by the Office of Naval Research European Office. The United States has a royalty-free license throughout the world in all copyrightable material contained herein.

3 CONTENTS Agnon, Y. and H.B. Bingham, A Fourier-Boussinesq method for nonlinear wave propagation on a variable depth fluid..1 Akylas, T.R., Supercritical wakes in stratified flows....5 Ando, S., Wind waves and swells: probabilistic models for directions of propagation for moving ships Borthwick, A.G.L., M.S. Turnbull and R. Eatock Taylor, Nonlinear wave loading using sigma - transformed and unstructured finite element meshing.. 12 Brummelen, H. van and H. Raven, Numerical solution of steady free-surface Navier-Stokes flow Cadby, J.R. and C.M. Linton, Scattering of oblique waves in a two-layer fluid...20 Chen, X.-B., Peculiar properties of ship -motion Green functions in water of finite depth..24 Clamond, D. and J. Grue, Dynamics of the transient leading part of a wave train..28 Daalen, E.F.G. van, J. Gerrits, G.E. Loots and A.E.P. Veldman, Free surface anti-roll tank simulations with a volume of fluid based Navier-Stokes solver Dingemans, M.W. and A.C. Radder, The use of the CL-equation as a model for secondary circulations Doctors, L.J. and A.H. Day, The squat of a vessel with a transom stern...40 Drimer, N., M. Glozman, M. Stiassnie and G. Zilman, Forecasting the motion of berthed ships in harbors Evans, D.V. and B.J. Shipway, A continuum model for multi-column structures in waves 47 Fontaine, E., M. Landrini and M.P. Tulin, On modeling the post breaking phase: splashing Greco, M., O. Faltinsen and M. Landrini, An investigation of water on deck phenomena 55 Grilli, S., P. Guyenne and F. Dias, Numerical computation of three-dimensional overturning waves Grue, J., A. Jensen, P.-O. Rusås and J.K. Sveen, Solitary waves in stratified fluid : modelling and experiments...63 Guere t, R. and A.J. Hermans, Behavior of a ship with elastic distortions in periodic waves Hamilton, J.A. and R.W. Yeung, Non-linear motion of a submerged body in waves...71

4 Huseby, M., A. Jensen and J. Grue, An experimental investigation of ringing loads on a vertical cylinder in transient waves..75 Iafrati, A. and A. Korobkin, Liquid flow close to intersection point.79 Indeitsev, D. and Yu. Mochalova, Trapped modes above a die oscillating on the bottom of a wave channel 83 Iwashita, H., On unsteady waves generated by a blunt ship with forward speed...87 Jiang, T. and R. Henn, Nonlinear waves generated by a surface-piercing body using a unified shallow-water theory Judge, C. and A. Troesch, Asymmetry and horizontal velocity during water impact Kashiwagi, M., Wave interactions with a multitude of floating cylinders...99 Kim, Y., Numerical analysis of sloshing problem Kimmoun, O. and C. Kharif, On the behaviour of steep short-crested waves in deep water and their effects on structures Landrini, M. and P.A. Tyvand, Impulsive free-surface flow due to a steady line source at the bottom of a uniform fluid layer Lin, H.J. and M. Perlin, The velocity and vorticity fields beneath gravity -capillary waves exhibiting parasitic ripples Malenica, Š. and M. Zalar, An alternative method for linear hydrodynamics of air cushion supported floating bodie s Molin, B., On the sloshing modes in moonpools, or the dispersion equation for progressive waves in a channel through the ice sheet Mori, K. and S. Nagaya, Wave making resistance of a submerged hydrofoil with downward force Newman, J.N., Diffraction of water waves by an air chamber. 130 Noblesse, F., C. Yang, and D. Hendrix, Steady free-surface potential flow due to a point source..134 Ohkusu, M., Analysis of wave force on a large and thin floating platform. 138 Pelinovsky, E. and C. Kharif, Simplified model of the freak wave formation from the random wave field 142 Peng, W. and D.H. Peregrine, Pressure-impulse theory for plate impact on water surface Peregrine, D.H. and M. Brocchini, An instantaneous measure of the strength of a breaker: foot and toes

5 Retzler, C.H., J.R. Chaplin and R.C.T. Rainey, Transient motion of a vertical cylinder: measurements and computations of the free surface. 154 Rognebakke, O.F. and O.M. Faltinsen, Damping of sloshing due to tank roof impact..158 Scolan, Y.-M. and A. A. Korobkin, Design of three-dimensional bodies subject to water impact Shemer, L., Haiying Jiao and E. Kit, Nonlinear wave group evolution in deep and intermediate -depth water: experiments and numerical simulations 166 Subramani, A.K. and R.F. Beck, Suppression of wave breaking in nonlinear water wave computations including forward speed..170 Tuck, E.O., Numerical solution for unsteady two -dimensional free-surface flows Ursell, F., The metacentre in the stability of ships. Some difficulties 178 Vanden-Broeck, J.-M. and B. Spivak, Free-surface wave damping due to viscosity and surfactants Westhuis, J. H., E. van Groesen and R. Huijsmans, Long time evolution of unstable bichromatic waves Wu, G.X., Initial pressure distribution over a wavemaker after an impulsive motion..188 Wu, G., Y. Liu and D.K.P. Yue, Numerical reconstruction of nonlinear irregular wave-field using single or multiple probe data Zhang, J., M. McIver, P. McIver and C.M. Linton, Embedded trapped modes for arrays of cylinders..195

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