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Transient gravity wave response to an oscillating pressure

Published online by Cambridge University Press:  28 March 2006

John W. Miles
John W. Miles
Affiliation:
Department of Engineering and Institute of Geophysics, University of California, Los Angeles
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Abstract

The gravity-wave response of a semi-infinite liquid to the oscillating pressure Pδ(x) exp (iwt) is given in an asymptotic form that is uniformly valid through the transition zone that separates the dispersion-controlled precursor and the monochromatic steady state. The same problem has been considered previously by Stoker (1957), but his initial conditions were spurious, and he did not seek a uniformly valid asymptotic representation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 13 , Issue 1 , May 1962 , pp. 145 - 150
Copyright
© 1962 Cambridge University Press

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References

Lamb, H. 1904 On deep water waves. Proc. Lond. Math. Soc. (2), 2, 371.Google Scholar
Lamb, H. 1932 Hydrodynamics, pp. 384–391, 6th ed. Cambridge University Press.
Stoker, J. J. 1957 Water Waves, pp. 174–81, 210–18. New York: Interscience.
Wurtele, M. G. 1955 The transient development of a lee wave. J. Mar. Res. 14, 1.Google Scholar