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Some exact solutions to the nonlinear shallow-water wave equations

Published online by Cambridge University Press:  20 April 2006

William Carlisle Thacker
William Carlisle Thacker
Affiliation:
Sea-Air Interaction Laboratory, National Oceanographic and Atmospheric Administration, United States Department of Commerce
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Abstract

These exact solutions correspond to time-dependent motions in parabolic basins. A characteristic feature is that the shoreline is not fixed. It is free to move and must be determined as part of the solution. In general, the motion is oscillatory and has the appropriate small-amplitude limit. For the case in which the parabolic basin reduces to a flat plane, there is a solution for a flood wave. These solutions provide a valuable test for numerical models of inundating storm tides.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 107 , June 1981 , pp. 499 - 508
Copyright
© 1981 Cambridge University Press

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References

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