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Two-dimensional linear and nonlinear stern waves

Published online by Cambridge University Press:  19 April 2006

H. J. Haussling
H. J. Haussling
Affiliation:
David W. Taylor Naval Ship Research and Development Center, Bethesda, Maryland 20084
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Abstract

Numerical solutions are presented for the unsteady irrotational flow generated by the movement of the stern of a two-dimensional semi-infinite body at the free surface of an incompressible fluid. When separation occurs other than at a sharp trailing edge, the location of the separation point is computed as part of the solution. Linear and nonlinear results are compared. It is shown that for draught-based Froude numbers greater than 3 the nonlinear effects are negligible for most practical purposes while for Froude numbers less than three these effects can be significant.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 4 , 29 April 1980 , pp. 759 - 769
Copyright
© 1980 Cambridge University Press

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References

Baba, E. 1976 Wave breaking resistance of ships. Int. Seminar on Wave Resistance, The Society of Naval Architects of Japan.
Dagan, G. & Tulin, M. P. 1972 Two-dimensional free-surface gravity flow past blunt bodies. J. Fluid Mech. 51, 529.Google Scholar
Haussling, H. J. 1979 Boundary-fitted coordinates for accurate numerical solution of multi-body flow problems. J. Comp. Phys. 30, 107.Google Scholar
Haussling, H. J. & Coleman, R. M. 1979 Nonlinear water waves generated by an accelerated circular cylinder. J. Fluid Mech. 92, 781.Google Scholar
Haussling, H. J. & Van Eseltine, R. T. 1976 Numerical solution of planing-body problems. David W. Taylor Naval Ship R. & D. Center Rep. 76-0118.
Kerczek, C. K. von & Salvesen, N. 1974 Numerical solutions of two-dimensional nonlinear wave problems. 10th Symp. on Naval Hydrodyn., Mass. Institute of Technology, p. 649.
Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves. 1. A numerical method of computation. Proc. Roy. Soc. A 350, 1.Google Scholar
Vanden-Broeck, J.-M. 1980 Nonlinear stern waves. J. Fluid Mech. 96, 603.Google Scholar
Vanden-Broeck, J.-M. & Tuck, E. O. 1977 Computation of near-bow or stern flows, using series expansion in the Froude number. Proc. 2nd Int. Conf. on Numerical Ship Hydrodyn., Univ. of California, Berkeley, p. 371.
Vanden-Broeck, J.-M., Schwartz, L. W. & Tuck, E. O. 1978 Divergent low Froude-number series expansion of non-linear free-surface flow problems. Proc. Roy. Soc. A 361, 207.Google Scholar