Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-02-10T12:29:44.662Z Has data issue: false hasContentIssue false
  • English
  • Français

Water entry of two-dimensional bodies

Published online by Cambridge University Press:  26 April 2006

R. Zhao  and
O. Faltinsen
R. Zhao
Affiliation:
Marintek A/S, PO Box 4125 Valentinlyst, Trondheim: Norway
O. Faltinsen
Affiliation:
Division of Marine Hydrodynamics, Norwegian Institute of Technology, Trondheim, Norway
Get access Rights & Permissions [Opens in a new window]

Abstract

A numerical method for studying water entry of a two-dimensional body of arbitrary cross-section is presented. It is a nonlinear boundary element method with a jet flow approximation. The method has been verified by comparisons with new similarity solution results for wedges with deadrise angles varying from 4° to 81°. A simple asymptotic solution for small deadrise angles α based on Wagner (1932) agrees with the similarity solution for small α.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 246 , January 1993 , pp. 593 - 612
Copyright
© 1993 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Armand, J. L. & Cointe, R. 1986 Hydrodynamic impact analysis of a cylinder. In Proc. Fifth Int Offshore Meck, and Arctic Engng Symp., Tokyo, Japan, Vol. 1, pp. 609– 634. ASME.
Cointe, R. 1991 Free surface flows close to a surface-piercing body. In Mathematical Approaches in Hydrodynamics (ed. T. Miloh), pp. 319– 334. Soc. Ind. Appl. Maths, Philadelphia, USA.
Dobrovol'skaya, Z. N. 1969 On some problems of similarity now of fluid with a free surface J Fluid Mech. 36, 805– 829.Google Scholar
Faltinsen, O. 1977 Numerical solutions of transient nonlinear free-surface motion outside or inside moving bodies. In Proc. 2nd Intl Conf. Num. Ship. Hydrodyn., University of California Berkeley, pp. 347– 357.
Faltinsen, O. 1990 Sea Loads on Ships and Offshore Structures. Cambridge University Press.
Faltinsen, O. & Zhao, R. 1991 Numerical predictions of ship motions at high forward speed Phil. Trans. R. Soc. Lond. A 334, 241– 252.
Fraenkel, E. 1991 On the water entry of a wedge. The Mathematics of Nonlinear Systems SERC Meeting, Bath.Google Scholar
Garabedian, P. R. 1953 Oblique water entry of a wedge. Commun. Pure Appl. Maths 6, 157– 165.Google Scholar
Greenhow, M. 1987 Wedge entry into initially calm water. Appl. Ocean Ren. 9, 214– 223.Google Scholar
Howison, S. D., Ockendon, J. R. & Wilson, S. K. 1991 Incompressible water-entry problems at small deadrise angles. J. Fluid Mech. 222, 215– 230.Google Scholar
Hughes, O. F. 1972 Solution of the wedge entry problem by numerical conformal mapping. J. Fluid Mech. 56, 173– 192.Google Scholar
Korobkin, A. A. & Pukhnachov, V. V. 1988 Initial stage of water impact. Ann. Rev. Fluid Mech. 10, 159– 185.Google Scholar
Mackie, A. G. 1969 The water entry problem. Q. J. Mech. Appl. Maths 22, 1– 17.Google Scholar
Newman, J. N. 1977 Marine Hydrodynamics. The MIT Press.
Takemoto, H. 1984 Some considerations on water impact pressure. J. Soc. Naval Arch. Japan 156, 314– 322.Google Scholar
Vinje, T. & Brevig, P. 1980 Nonlinear ship motions. In Proc. 3rd Intl Conf. Num. Ship Hydrodyn., Paris, June, pp. 257– 266.
Wagner, H. 1932 Über stoss- und Gleitvergänge an der Oberfläche von Flüssigkeiten. Z. Angew. Math. Mech. 12 (4), 192– 235.Google Scholar
Watanabe, T. 1986 Analytical expression of hydrodynamic impact pressure by matched asymptotic expansion technique, Trans. West-Japan Soc. Naval Arch., No. 71, pp. 77– 85.Google Scholar
Yamamoto, Y., Ohtsubo, H. & Kohno, Y. 1984 Water impact of wedge model. J. Soc. Naval Arch. Japan 155, 236– 245.Google Scholar