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Nonlinearity of the three-dimensional flow past a flat blunt ship

Published online by Cambridge University Press:  20 April 2006

Gilles Fernandez
Gilles Fernandez
Affiliation:
Ecole Nationale Supérieure de Techniques Avancées, Equipe de Recherche Associée, au Centre National de la Recherche Scientifique, Paris Present address: Service Technique des Constructions et Armes Navales, BA/N, 8 Boulevard Victor - 75015 Paris.
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Abstract

The nonlinearity of the gravity sea flow past a three-dimensional flat blunt ship with a length-based Froude number of order unity is studied using the method of matched asymptotic expansions. It is shown that the nonlinearity is important in an inner domain near the ship, whereas the flow in the rest of the fluid domain is the solution of a Neumann-Kelvin problem. Two possible inner solutions – a jet and a wave – are obtained and discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 345 - 361
Copyright
© 1981 Cambridge University Press

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References

Baba, E. & Hara, M. 1977 Numerical evaluation of a wave-resistance theory for slow ships. Proc. 2nd Int. Conf. Num. Ship Hydrodynamics, pp. 17–29.
Brard, R. 1972 The representation of a given ship form by singularity distributions when the boundary condition on the free surface is linearized. J. Ship Res. 16, 79–92.Google Scholar
Chang, M. S. 1977 Computations of three-dimensional ship-motions with forward speed. Proc. 2nd Int. Conf. Num. Ship Hydrodynamics, pp. 124–135.
Dagan, G. & Tulin, M. P. 1972 Two-dimensional free surface gravity flow past blunt bodies. J. Fluid Mech. 51, 529–543.Google Scholar
Fernandez, G. 1978 Etude de la non-linéarité de l'interaction carène-surface libre pour un navire avancant à vitesse uniforme en eau calme. Rapport E.N.S.T.A. no. 100. Paris.Google Scholar
Guëvel, P., Delhommeau, G. & Cordonnier, J. P. 1977 Numerical solution of the Neumann-Kelvin problem by the method of singularities. Proc. 2nd Int. Conf. Num. Ship Hydrodynamics, pp. 107–123.
Jami, A. & Lenoir, M. 1978 A variational formulation for exterior problems in hydrodynamics. Comp. Math. Appl. Mech. Engng 16, 341–359.Google Scholar
Newman, J. N. 1976 Linearized wave resistance theory. Int. Sem. Wave Resistance, Japan, pp. 31–43.Google Scholar
Nguyen, N. T. & Rojdestvenskii, K. 1975 Hydroplanage d'une plaque plane de grande envergure sur la surface d'un domaine fluide de profondeur finie. J. Méc. 14, 793–821.Google Scholar
Nichols, B. D. & Hirt, C. W. 1975 Methods for calculating multi-dimensional, transient, free surface flows past bodies. Proc. 1st Int. Conf. Num. Ship Hydrodynamics, pp. 253–277.
Noblesse, F. 1976 What is the proper linear model and perturbation scheme for the flow around a ship? Int. Sem. Wave Resistance, Japan, pp. 393–398.Google Scholar
Tuck, E. O. 1964 A systematic asymptotic expansion procedure for slender ships. J. Ship Res. 8, 15–23.Google Scholar
Tuck, E. O. 1977 Invited discussion. Proc. 2nd Int. Conf. Num. Ship Hydrodynamics, pp. 104–105.
Tuck, E. O. & Vanden-broeck, J.-M. 1977 Computation of near-bow or stern flows, using series expansions in the Froude number. Proc. 2nd Int. Conf. Num. Ship Hydrodynamics, pp. 371–381.
Vanden-broeck, J.-M. 1980 Nonlinear stern waves. J. Fluid Mech. 96, 603–611.Google Scholar