No CrossRef data available.
Article contents
Diffraction by a slender ship: uniform theory for head and oblique seas
Published online by Cambridge University Press: 20 April 2006
Abstract
The diffraction problem for a slender ship held fixed in short regular incident waves is solved by a matched-asymptotic-expansion method which is uniform with respect to all incident wave directions including head seas. Special inner solutions are employed which satisfy the Helmholtz equation in cross-sectional planes of the ship and are non-singular in head seas. The inner expansion of the outer solution is derived directly for all wave directions rather than as a composite. The case of a ship with a long parallel middle body is studied by means of a mixed numerical and analytical solution which explicitly exhibits the transition between the distinctive behaviours of head and oblique seas and distinguishes effects generated at the bow from those of the parallel middle body. Calculations of the pressure distributions and wave elevations along a ship are reported and compared with experimental measurements. The agreement between theory and experiment is generally good, especially at the upwave end of the ship and along the upwave side.
- Type
- Research Article
- Information
- Copyright
- © 1985 Cambridge University Press
References
Bai, K. J.
1975
Diffraction of oblique waves by an infinite cylinder.
J. Fluid Mech.
68,
513–535.Google Scholar
Barbie, D. A.
1984
Comparison of results using two forms for the outer solution to the diffraction potential in head seas.
Internal Rep., Dept Ship and Marine Tech., Univ. Strathclyde.
Beck, R. F. & Troesch, A. W.
1980
Wave diffraction effects in head seas.
Intl Shipbdng Prog.
27,
306–315.Google Scholar
Faltinsen, O. M.
1972
Wave forces on a restrained ship in head sea waves. In
Proc. 9th Symp. on Naval Hydrodynamics, Paris,
pp.
7–42.
Haren, P. & Mei, C. C.
1981
Head-sea diffraction by a slender raft with application to wave-power absorption.
J. Fluid Mech.
104,
505–526.Google Scholar
Liapis, N. & Faltinsen, O. M.
1980
Diffraction of waves around a ship.
J. Ship Res.
24,
147–155.Google Scholar
Martin, J.
1984
Internal Rep., Dept Maths, Univ. Edinburgh.
Maruo, H. & Sasaki, N.
1974
On the wave pressure acting on the surface of an elongated body fixed in head seas.
J. Soc. Nav. Archit. Japan
136,
34–42.Google Scholar
Mei, C. C. & Tuck, E. O.
1980
Forward scattering by long thin bodies.
SIAM J. Appl. Maths
39,
178–191.Google Scholar
Nakamura, S., Takagi, M., Saito, K. & Ganno, M.
1973
Hydrodynamic pressures on a restrained ship in oblique waves.
J. Soc. Nav. Archil. Japan
133,
85–100.Google Scholar
Ogilvie, T. F.
1977
Singular-perturbation problems in ship hydrodynamics.
Adv. Appl. Mech.
17,
91–188.Google Scholar
Sclavounos, P. D.
1981
The interaction of an incident wave field with a floating slender body at zero speed. In
Proc. 3rd Intl Conf. on Numerical Ship Hydrodynamics, Paris.
Sclavounos, P. D.
1984
The diffraction of free-surface waves by a slender ship.
J. Ship. Res.
28,
29–47.Google Scholar
Skjørdal, S. O. & Faltinsen, O. M.
1980
A linear theory of springing.
J. Ship Res.
24,
74–84.Google Scholar
Society of Ship Research of Japan
1974
Measurement of hydrodynamic pressures acting on the hull of a ship which is constrained in the regular waves.
Committee Rep. SR131,
pp.
76–93.
Troesch, A. W.
1979
The diffraction forces for a ship moving in oblique seas.
J. Ship Res.
23,
127–139.Google Scholar
Ursell, F.
1968a
The expansion of water-wave potentials at great distances.
Proc. Camb. Phil. Soc.
64,
811–826.Google Scholar
Ursell, F.
1968b
On head seas travelling along a horizontal cylinder.
J. Inst. Maths Applies
4,
414–427.Google Scholar
Ursell, F.
1975
The refraction of head seas by a long ship.
J. Fluid Mech.
67,
689–703.Google Scholar