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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  and
V. S. Seshadri
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
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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
Information
Journal of Fluid Mechanics , Volume 78 , Issue 3 , 7 December 1976 , pp. 481 - 487
Copyright
© 1976 Cambridge University Press

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References

Ardavan Rhad, H. 1970 J. Fluid Mech. 43, 737.
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Varley, E., Ventakaraman, R. & Cumberbatch, E. 1971 J. Fluid Mech. 49, 775.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.
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