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| Titel |
Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry |
| VerfasserIn |
W. Kristina, O. Bokhove, E. Van Groesen |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
2198-5634
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics Discussions ; 1, no. 1 ; Nr. 1, no. 1 (2014-03-21), S.317-369 |
| Datensatznummer |
250115079
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| Publikation (Nr.) |
 copernicus.org/npgd-1-317-2014.pdf |
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| Zusammenfassung |
| An effective boundary condition (EBC) is introduced as a novel technique to
predict tsunami wave run-up along the coast and offshore wave reflections.
Numerical modeling of tsunami propagation at the coastal zone has been a
daunting task since high accuracy is needed to capture aspects of wave
propagation in the more shallow areas. For example, there are complicated
interactions between incoming and reflected waves due to the bathymetry and
intrinsically nonlinear phenomena of wave propagation. If a fixed wall
boundary condition is used at a certain shallow depth contour, the reflection
properties can be unrealistic. To alleviate this, we explore a so-called
effective boundary condition, developed here in one spatial dimension. From
the deep ocean to a seaward boundary, i.e., in the simulation area, we model
wave propagation numerically over real bathymetry using either the linear
dispersive variational Boussinesq or the shallow water equations. We measure
the incoming wave at this seaward boundary, and model the wave dynamics
towards the shoreline analytically, based on nonlinear shallow water theory
over sloping bathymetry. We calculate the run-up heights at the shore and the
reflection caused by the slope. The reflected wave is then influxed back into
the simulation area using the EBC. The coupling between the numerical and
analytic dynamics in the two areas is handled using variational principles,
which leads to (approximate) conservation of the overall energy in both
areas. We verify our approach in a series of numerical test cases of
increasing complexity, including a case akin to tsunami propagation to the
coastline at Aceh, Sumatra, Indonesia. |
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