Transient waves produced by a moving pressure distribution
Author:
S. L. Cole
Journal:
Quart. Appl. Math. 45 (1987), 51-58
MSC:
Primary 76B25
DOI:
https://doi.org/10.1090/qam/885167
MathSciNet review:
885167
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Abstract: This paper provides a theoretical description of the 3-dimensional flow produced by a surface pressure distribution moving in a channel at speeds such that the Froude number based on depth is near 1. The transient flow begins in a fully 3-dimensional manner, then focuses away from the distribution, due to the side walls, into predominantly 2-dimensional “solitary” or “cnoidal” waves. Two sets of these waves are generated continuously by the distribution; one set runs upstream while the other extends downstream.
- T. R. Akylas, On the excitation of long nonlinear water waves by a moving pressure distribution, J. Fluid Mech. 141 (1984), 455–466. MR 747719, DOI https://doi.org/10.1017/S0022112084000926
- C. K. Chu, L. W. Xiang, and Y. Baransky, Solitary waves induced by boundary motion, Comm. Pure Appl. Math. 36 (1983), no. 4, 495–504. MR 709646, DOI https://doi.org/10.1002/cpa.3160360407
- S. L. Cole, Transient waves produced by flow past a bump, Wave Motion 7 (1985), no. 6, 579–587. MR 811214, DOI https://doi.org/10.1016/0165-2125%2885%2990035-6
R. C. Ertekin, W. C. Webster, and J. V. Wehausen, Ship-generated solitons, Proc. 15th Sympos. Naval Hydrodynamics, In press.
D.-M. Wu and T. Y. Wu, Three-dimensional nonlinear long waves due to moving surface pressure, Proc. 14th Sympos. Naval Hydrodynamics, National Academy Press, Washington, D. C., pp. 103–125, 1983
T. R. Akylas, On the excitation of long nonlinear water waves by a moving pressure distribution, J. Fluid Mech. 141, 455–466 (1984)
C. K. Chu, L. W. Xiang, and Y. Baransky, Solitary waves induced by boundary motion, Comm. Pure Appl. Math. 36, 495–504 (1983)
S. L. Cole, Transient waves produced by flow past a bump, Wave Motion 7, 579–587 (1985)
R. C. Ertekin, W. C. Webster, and J. V. Wehausen, Ship-generated solitons, Proc. 15th Sympos. Naval Hydrodynamics, In press.
D.-M. Wu and T. Y. Wu, Three-dimensional nonlinear long waves due to moving surface pressure, Proc. 14th Sympos. Naval Hydrodynamics, National Academy Press, Washington, D. C., pp. 103–125, 1983
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Article copyright:
© Copyright 1987
American Mathematical Society
