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Motion of a bore over a sloping beach: an approximate analytical approach

Published online by Cambridge University Press:  11 April 2006

P. L. Sachdev
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012
V. S. Seshadri
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012

Abstract

The motion of a bore over a sloping beach, earlier considered numerically by Keller, Levine & Whitham (1960), is studied by an approximate analytic technique. This technique is an extension of Whitham's (1958) approach for the propagation of shocks into a non-uniform medium. It gives the entire flow behind the bore and is shown to be equivalent to the theory of modulated simple waves of Varley, Ventakaraman & Cumberbatch (1971).

Type
Research Article
Copyright
© 1976 Cambridge University Press

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References

Ardavan Rhad, H. 1970 J. Fluid Mech. 43, 737.
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Keller, H. B., Levine, D. A. & Whitham, G. B. 1960 J. Fluid Mech. 7, 302.
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Varley, E., Ventakaraman, R. & Cumberbatch, E. 1971 J. Fluid Mech. 49, 775.
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Yousaf, M. 1974 J. Fluid Mech. 66, 577.