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Climb of a bore on a beach Part 3. Run-up

Published online by Cambridge University Press:  28 March 2006

M. C. Shen  and
R. E. Meyer
M. C. Shen
Affiliation:
Brown University, Providence, Rhode Island
R. E. Meyer
Affiliation:
Brown University, Providence, Rhode Island
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Abstract

When a bore travels shoreward into water at rest on a beach, then according to the first-order non-linear long-wave theory, the bore accelerates and decreases in height, until it collapses at the shore. The investigation here reported concerns the question, what happens next? It is formulated as a singular characteristic boundary-value problem with somewhat unusual mathematical properties. Its asymptotic solution predicts a rather thin sheet of run-up and back-wash with some unexpected features.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 1 , May 1963 , pp. 113 - 125
Copyright
© 1963 Cambridge University Press

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References

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