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On steady and unsteady ship wave patterns

Published online by Cambridge University Press:  26 April 2006

D. E. Nakos
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge MA 02139, USA
P. D. Sclavounos
Affiliation:
Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge MA 02139, USA

Abstract

The properties of steady and unsteady ship waves propagating on a free surface discretized with panels are studied. The wave propagation is characterized by an explicit discrete dispersion relation which allows the systematic analysis of the distortion of the wave pattern due to discretization and the derivation of a stability criterion to be met by the numerical algorithm. The conclusions of the study are applied to a panel method used for the computation of steady and time-harmonic free-surface flows past elementary singularities and a ship hull.

Type
Research Article
Copyright
© 1990 Cambridge University Press

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References

Aanesland, V. 1986 A theoretical and numerical study of the ship wave resistance. Ph.D. dissertation, Department of Marine Technology, The Norwegian Institute of Technology, Trondheim, Norway.
Bers, A. 1983 Space-time evolution of plasma instabilities — absolute and convective. Handbook of Plasma Physics, vol. 1, Chapter 3.2.
Clarisse, J. M. 1989 On the numerical evaluation of the Neumann—Kelvin Green Function. SM thesis, Department of Ocean Engineering, MIT, USA.
Dawson, D. W. 1977 A practical computer method for solving ship-wave problems. 2nd Intl Conf. on Numerical Ship Hydrodynamics.
Jensen, G. 1988 Numerical solution of the nonlinear ship wave resistance problem. 3rd Intl Workshop on water waves and floating bodies.
Jensen, G., Mi, Z. X. & Söding, H. 1986 Rankine source methods for numerical solutions of the steady ship wave resistance problem. 16th Symp. on Naval Hydrodynamics.
Jensen, P. S. 1987 On the numerical radiation condition in the steady-state ship wave problem. J. Ship Res. 31, pp. 1422.Google Scholar
Lighthill, M. J. 1960 Studies on magneto-hydrodynamic waves and other anisotropic wave motions. Phil. Trans. R. Soc. Lond. A 252, 397430.Google Scholar
Newman, J. N. 1987 Evaluation of the wave-resistance Green function: Part 1 — The double integral. J. Ship Res. 31, 7990.Google Scholar
Ni, S. Y. 1987 Higher order panel methods for potential flows with linear or nonlinear free surface boundary conditions. Ph.D. dissertation, Division of Marine Hydrodynamics, Chalmers University of Technology, Göteborg, Sweden.
Raven, H. C. 1988 Variations on a theme by Dawson. 17th Symp. on Naval Hydrodynamics.
Sclavounos, P. D. & Nakos, D. E. 1988 Stability analysis of panel methods for free surface flows with forward speed. 17th Symp. on Naval Hydrodynamics (referred to as A).
Van Beek, C. M., Piers, W. J. & Sloof, J. W. 1985 Boundary integral methods for computation of the potential flow about ship configurations with lift and free surface effects. NLR Rep. TR-85–142 U.
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. In Handbuch der Physik, vol. 9, pp. 446778. Springer.
Xia, F. & Larsson, L. 1986 A calculation method for the lifting potential flow around yawed surface piercing 3-D bodies. 16th Symp. on Naval Hydrodynamics.