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Calculations of the development of an undular bore

Published online by Cambridge University Press:  28 March 2006

D. H. Peregrine
D. H. Peregrine
Affiliation:
Department of Mathematics, University of Bristol
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Abstract

If a long wave of elevation travels in shallow water it steepens and forms a bore. The bore is undular if the change in surface elevation of the wave is less than 0·28 of the original depth of water. This paper describes the growth of an undular bore from a long wave which forms a gentle transition between a uniform flow and still water. A physical account of its development is followed by the results of numerical calculations. These use finite-difference approximations to the partial differential equations of motion. The equations of motion are of the same order of approximation as is necessary to derive the solitary wave. The results are in general agreement with the available experimental measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 2 , June 1966 , pp. 321 - 330
Copyright
© 1966 Cambridge University Press

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