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Gravity wave refraction by islands

Published online by Cambridge University Press:  29 March 2006

Conrad C. Lautenbacher
Conrad C. Lautenbacher
Affiliation:
Harvard University, Cambridge, Massachusetts
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Abstract

The refractive influence on tsunami run-up of the offshore bottom topography of islands is analyzed. Shallow water theory is used to treat problems in which the geometry resembles that of individual Hawaiian islands and in which the incident wave is plane and monochromatic.

Mathematically, the differential equation for long-wave propagation is converted into an integral equation to which numerical methods are applied. Results of practical importance include the run-up on island coastal areas. The results are used in conjunction with earlier one-dimensional analyses to estimate the total tsunami run-up.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 3 , 29 April 1970 , pp. 655 - 672
Copyright
© 1970 Cambridge University Press

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References

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