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| Titel |
Run-up of nonlinear long waves in bays of finite length: 1-D analytical theory and 2-D numerical computations |
| VerfasserIn |
Efim Pelinovsky, Matthew Harris, Viacheslav Garayshin, Dmitry Nicolsky, John Pender, Alexei Rybkin |
| Konferenz |
EGU General Assembly 2016
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| Medientyp |
Artikel
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| Sprache |
en
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 18 (2016) |
| Datensatznummer |
250122909
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| Publikation (Nr.) |
 EGU/EGU2016-2054.pdf |
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| Zusammenfassung |
| Run-up of long waves in sloping bays is studied analytically in the framework of the 1-D nonlinear shallow-water theory. By assuming that the wave flow is uniform along the cross-section, the 2-D nonlinear shallow-water equations are reduced to a linear semi-axis variable-coefficient 1-D wave equation via the generalized Carrier-Greenspan transformation (Rybkin et al., JFM 2014). A spectral solution is developed by solving the linear semi-axis variable-coefficient 1-D equation via separation of variables and then applying the inverse Carrier-Greenspan transform. The shoreline dynamics in U-shaped and V-shaped bays are computed via a double integral through standard integration techniques. To compute the run-up of a given long wave a numerical method is developed to find the eigenfunction decomposition required for the spectral solution in the linearized system. The run-up of a long wave in a bathymetry characteristic of a narrow canyon is then examined. |
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