Mungkasi, Sudi; Roberts, Stephen
The Carrier-Greenspan solutions to the shallow water wave equations for flows on a sloping beach are of two types, periodic and transient. This paper focuses only on periodic-type waves. We review an exact solution over the whole domain presented by Johns ['Numerical integration of the shallow water equations over a sloping shelf', Int. J. Numer. Meth. Fluids, 2(3): 253-261, 1982] and its approximate solution (the Johns prescription) prescribed at the zero point of the spatial domain. A new...[Show more]
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