Abstract
The run-up of non-breaking and breaking solitary waves on a uniform plane beach
connected to a constant-depth wave tank was investigated experimentally and numerically.
If only the general characteristics of the run-up process and the maximum
run-up are of interest, for the case of a breaking wave the post-breaking condition
can be simplified and represented as a propagating bore. A numerical model using
this bore structure to treat the process of wave breaking and subsequent shoreward
propagation was developed. The nonlinear shallow water equations (NLSW)
were solved using the weighted essentially non-oscillatory (WENO) shock capturing
scheme employed in gas dynamics. Wave breaking and post-breaking propagation
are handled automatically by this scheme and ad hoc terms are not required. A computational
domain mapping technique was used to model the shoreline movement.
This numerical scheme was found to provide a relatively simple and reasonably good
prediction of various aspects of the run-up process. The energy dissipation associated
with wave breaking of solitary wave run-up (excluding the effects of bottom friction)
was also estimated using the results from the numerical model.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
128 articles.
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