Reflection And Transmission Across A Finite
This paper reports a new method of computing the coe#cients of the modal expansion of the velocity potential for the so-called finite-gap problem in ice/water interaction. The finitegap problem depicts the situation when the ocean surface is covered with an elastic plate and the plate has a gap of a...
| Main Authors: | , , |
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| Format: | Text |
| Language: | English |
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| Online Access: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.7063 http://sun-cc208.lboro.ac.uk/departments/ma/preprints/papers03/03-12.pdf |
| Summary: | This paper reports a new method of computing the coe#cients of the modal expansion of the velocity potential for the so-called finite-gap problem in ice/water interaction. The finitegap problem depicts the situation when the ocean surface is covered with an elastic plate and the plate has a gap of a constant width. The schematic drawing of the problem is shown in Fig. (1). The mathematical model in this paper, a thin elastic plate coupled with an inviscid, incompressible fluid, is often used to describe sea-ice sheets and floating runways. The model can describe the dynamics of these objects for the wavelengths and wave-magnitudes typically found in the ocean. Examples in the studies of the sea-ice dynamics and floating runways are reported in [(Fox and Squire 1994), (Squire and Fox 1991)] and [(Kashiwagi 2000), (Ertekin and Kim 1999)], respectively. This article reports mainly the technical side of the method of solution and does not dwell on the geophysical and o#shore engineering aspects of the problem |
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