New insight into the generation of ship bow waves

The generation of ship bow waves is studied within the framework of potential flow theory. Assuming the ship bow to be slender, or thin, a pattern of the flow is derived using the method of matched asymptotic expansions. This method leads to the determination of three different zones in which three asymptotic expansions are performed and matched. To first order with respect to the slenderness parameter, the near-field flow appears to be two-dimensional in each transverse plane along the bow. However, it is demonstrated that three-dimensional effects are important in front of the ship and must be taken into account in the composite solution. This leads to a three-dimensional correction to be added to the two-dimensional solution along the ship. The asymptotic approach is then applied to explain the structure of the bow flow in connection with experimental observations and numerical simulations.

[1]  O. Faltinsen,et al.  Numerical predictions of ship motions at high forward speed , 1991, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[2]  Joseph Katz,et al.  On the structure of bow waves on a ship model , 1997, Journal of Fluid Mechanics.

[3]  Gérard Delhommeau.  Les problemes de diffraction-radiation et de resistance de vagues : etude theorique et resolution numerique par la methode des singularites , 1987 .

[4]  R. Cointe,et al.  Two-Dimensional Water-Solid Impact , 1989 .

[5]  H. Wagner.  Über Stoß- und Gleitvorgänge an der Oberfläche von Flüssigkeiten , 1932 .

[6]  J. N. Newman,et al.  FREE-SURFACE EFFECTS ON A YAWED SURFACE-PIERCING PLATE , 1991 .

[7]  William W. Schultz,et al.  An analysis of the initial-value wavemaker problem , 1990 .

[8]  Emmanuel Fontaine,et al.  A slender body approach to nonlinear bow waves , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[9]  T. F. Ogilvie.  Nonlinear high-froude-number free-surface problems , 1967 .

[10]  J. Michell,et al.  XI. The wave-resistance of a ship , 1898 .

[11]  S. M. Çalisal,et al.  A NUMERICAL MODELING OF SHIP BOW WAVES , 1989 .

[12]  Michael Selwyn Longuet-Higgins,et al.  The deformation of steep surface waves on water - I. A numerical method of computation , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[13]  O M Faltinsen.  BOW FLOW AND ADDED RESISTANCE OF SLENDER SHIPS AT HIGH FROUDE NUMBER AND LOW WAVE LENGTHS , 1983 .

[14]  Th. von Kármán,et al.  The impact on seaplane floats during landing , 1929 .

[15]  E. Fontaine.  On the Prediction of Nonlinear Free-surface Flows past Slender Hulls using 20 + t Theory: the Evolution of an Idea. , 1998 .

[16]  S. Cole,et al.  A simple example from flat-ship theory , 1988, Journal of Fluid Mechanics.

[17]  Odd M. Faltinsen.  ON SEAKEEPING OF CONVENTIONAL AND HIGH-SPEED VESSELS , 1993 .

[18]  Y H Kim,et al.  NONLINEAR SHIP WAVES , 1991 .

[19]  T. Francis Ogilvie.  THE WAVE GENERATED BY A FINE SHIP BOW , 1972 .

[20]  E. Fontaine.  Simulation de l'écoulement potentiel engendré par un corps élancé perçant la surface libre à forts nombres de Froude , 1996 .

[21]  Anthony J. Roberts,et al.  TRANSIENT FREE-SURFACE FLOWS GENERATED BY A MOVING VERTICAL PLATE , 1987 .