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| Titel |
Modelling and simulation of waves in three-layer porous media |
| VerfasserIn |
S. R. Pudjaprasetya |
| 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 ; 20, no. 6 ; Nr. 20, no. 6 (2013-11-25), S.1023-1030 |
| Datensatznummer |
250086076
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| Publikation (Nr.) |
 copernicus.org/npg-20-1023-2013.pdf |
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| Zusammenfassung |
| The propagation of gravity waves in an emerged three-layer porous medium is
considered in this paper. Based on the assumption that the flow can be
described by Darcy's Law, an asymptotic theory is developed for
small-amplitude long waves. This leads to a weakly nonlinear Boussinesq-type
diffusion equation for the wave height, with coefficients dependent on the
conductivities and depths of each layer. In the limit of equal conductivities
of all layers, the equation reduces to the single-layer result recorded in
the literature. The model equations are numerically integrated in the case of
an incident monochromatic wave hitting the layers. The results exhibit
dissipation and also a downstream net height rise at infinity. Wave
transmission coefficient in three-layer porous media with conductivity of
mangrove is discussed. Numerically, propagation of an initial solitary wave
through a porous medium shows the emergence of wave reflection and
transmission that both evolve as permanent waves. Additionally we examine the
impact of a solitary gravity wave on a porous medium breakwater. |
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