STANDING WAVES IN FRONT OF A SLOPING DIKE

Nobuo Shuto

Abstract


A solution of two-dimensional long waves on a beach of uniform slope is connected with that in water of constant depth, in order to yield an approximate solution for standing waves in front of a sloping dike. Wave motions are expressed in the Lagrangian description. The highest possible standing waves as well as the reflection coefficient are calculated according to the Miche's conception. Theoretical results show a good agreement with the experimental results of Murota and Yamada. It is also predicted that there is a relationship between the wave overtopping quantity and the quantity of water of standing waves above the crest height of the dike. As for the wave pressure of standing waves, a simple formula in the Eulerian description is derived for relative-dike length -t/L < 0.16 by allowing 670 error.

Keywords


standing wave; sloping dike; dike

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