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| Titel |
The run-up of weakly-two-dimensional solitary pulses |
| VerfasserIn |
M. Brocchini |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 5, no. 1 ; Nr. 5, no. 1, S.27-38 |
| Datensatznummer |
250002182
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| Publikation (Nr.) |
 copernicus.org/npg-5-27-1998.pdf |
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| Zusammenfassung |
| The run-up of solitary-type pulses propagating at a small
angle with respect to the shore normal is analysed by means of a weakly-two-dimensional
extension of a solution of the nonlinear shallow water equations for a non-breaking,
solitary pulse incident and reflecting on an inclined plane beach similar to that of
Synolakis (1987). A simple analytic expression for the longshore velocity of the
solitarytype pulse is given along with examples of computations. The proposed solution can
be employed in modelling run-up flow properties of solitary-type pulses (e.g. tsunamis,
primary waves of wave groups propagating in shallow waters, ...). The hodograph
transformation that is used and the flow properties are illustrated in terms of contour
plots. A limiting pulse amplitude is defined such that breakdown of the solution occurs. A
solution for the run-up of multiplesolitary-pulses in shallow waters is also described.
Some of the salient characteristics are illustrated and discussed. Breakdown conditions
are analytically defined also for the multiple-solitary-pulses solution. A strong
condition is given which couples information on both pulses amplitudes and distances. An
easier (but weaker) version of the criterion is given in terms of a pair of decoupled
formulae one for the Pulses amplitudes and the second for their initial positions. Very
large run-up is achieved because of the merging of two or more solitary pulses which are
smaller than the limiting Pulse. The role of pulse separation within a group of solitary
Pulses is also analysed in terms of both a 'nonlinearity parameter' N and a
'groupiness
parameter' G. It is found that a critical distance exists between two pulses which
minimizes the back-wash velocity and, as a consequence, the nonlinearity parameter
N. |
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