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Climb of a bore on a beach. Part 1. Uniform beach slope

Published online by Cambridge University Press:  28 March 2006

D. V. Ho  and
R. E. Meyer
D. V. Ho
Affiliation:
Brown University, Providence, Rhode Island
R. E. Meyer
Affiliation:
Brown University, Providence, Rhode Island
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Abstract

The shoreward travel of a bore into water at rest on a beach of uniform slope is studied to elucidate why, in a class of problems—mainly gas-dynamical ones involving non-uniform shock propagation—similarity solutions seem to act like magnets attracting other solutions. For the shallow-water problem, the real magnet is shown to be the shore singularity of the governing differential equations. The shore singularity of the solution is shown to be a directional singularity of the water acceleration, for a fairly wide range of conditions, and a rather detailed asymptotic approximation for the bore development near shore is deduced.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 2 , October 1962 , pp. 305 - 318
Copyright
© 1962 Cambridge University Press

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References

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