Abstract
The scattering of oblique gravity waves by a finite number of floating membranes on the surface of a fluid domain with constant depth is investigated without or near an end-wall. The method of matched eigenfunction expansions is employed and the whole domain is divided into several regions. By matching the general solutions at boundaries of adjacent regions with the aid of a generalized inner product, the solution is obtained in the matrix form. The generalized inner product is developed to deal with the membrane-covered surface condition and to incorporate the edge conditions. The reflection and transmission coefficients are analyzed versus the effect of membrane tension, length, edge conditions and evanescent modes. It is observed that the reflection and transmission coefficients attain maximum and minimum values alternatively as the membrane length increases. The particular case of spatially periodic membranes is investigated. The condition for Bragg resonance is also derived.
| Original language | English |
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| Title of host publication | Proceedings of the International Offshore and Polar Engineering Conference |
| Pages | 379-384 |
| Number of pages | 6 |
| Publication status | Published - 1 Jan 2001 |
| Externally published | Yes |
| Event | 11th (2001) International Offshore and Polar Engineering Conference - Stavanger, Norway Duration: 17 Jun 2001 → 22 Jun 2001 |
Conference
| Conference | 11th (2001) International Offshore and Polar Engineering Conference |
|---|---|
| Country/Territory | Norway |
| City | Stavanger |
| Period | 17/06/01 → 22/06/01 |
Keywords
- Bragg resonance
- Evanescent modes
- Inner product
- Membrane
- Water waves
- Wave scattering
ASJC Scopus subject areas
- Ocean Engineering