Accession Number:
AD0287627
Title:
WAVE RUN-UP ON BEACHES
Descriptive Note:
Corporate Author:
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
Personal Author(s):
Report Date:
1962-10-01
Pagination or Media Count:
1.0
Abstract:
The motion of water on a uniformly sloping beach, just after a bore reaches the shore, is studied. The shllow-water equations are used to fomulate a singular hyperbolic problem, which is solved by the help of RIEMANNS Method and of the trutural theory of quasilinear hyperbolic equations developed in gas dynmics. The shore line is found to advance suddenly with non-zero velocity and then to move up and down the beach with constant, negative acceleration. The solution s shown to contain limit lines indiating a rather unexpeted, secondary bore in the back-wsh. Author