Waves Over Beaches of Small Slope Under a Dock Under An Overhanging Cliff And
Waves Over Beaches of Small Slope Under a Dock Under An Overhanging Cliff And
J J Stoker
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Lewy [3] has obtained progressing wave solutions over beaches with slope angles ^ = ^ » with p any odd integer such that p < 2n, Thus the theory is available for cases in which cJ is greater than Tr/2, so tliat the "beach" becomes an overhanging cliff. The solution for a special case of this kind, i. E. For cJ = 135 or p = 3, n = 2, has been carried out n"umerically by E. Isaacson in a report now being reproduced. It turns out that there is at least one interesting contrast with the solutions for waves over beaches in which CO < Tr/2. In the latter case it has been found that as a progressing wave moves in toward shore the amplitude first decreases to a value below the value at oo, before it increases and becomes vex-'y large at the shore line. The same thing holds for standing waves: At a certain distance from shore there exists always a crest which is lower than the crests at oo . In the case of the overhanging cliff with cl> = 135, however, the reverse is found to be true: The first maximum going outv/ard from the shore line is about 1 /o hig::ier than the height of the crests at oo .
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