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Trapped and internal waves in ice-covered seas
| Content Provider | Semantic Scholar |
|---|---|
| Author | Muzylev, Sergey |
| Copyright Year | 2009 |
| Abstract | Edge waves on ice-covered water were analyzed using linearized theory for a plane-sloping beach with a straight coastline. These waves propagate along the coast and have an amplitude, which decays exponentially away from the shoreline. The problem is examined without the hydrostatic assumption. The sea water is considered homogeneous, inviscid, non-rotating, and incompressible. The ice is considered of uniform thickness, with constant values of Young’s modulus, Poisson’s ratio, density and compressive stress in the ice. The boundary conditions are such that the normal velocity at the bottom is zero and at the undersurface of the ice the linearized kinematic and dynamic boundary conditions are satisfied. We present and analyze explicit solutions for the edge flexural-gravity waves and the dispersion equations. The ice cover significantly influences the characteristics of edge waves in the domain of short waves (tens of and a few hundred meters). For long waves (one thousand meters and longer), its role is not significant. At fixed wavelengths, the velocity of the propagation of such waves is always smaller than the velocity of flexural gravity waves in a sea of infinite depth. The existence of the ice cover leads to a more complex dependence of ice deflections on the coordinate normal to the coast, especially in the domain of small periods of edge waves. In particular, under the ice conditions, the amplitude of the nonzero-mode edge waves at the coast exceeds the amplitude of similar waves in the ice-free period, while the maximum of the amplitude can occur at a distance from the coast. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://meetingorganizer.copernicus.org/EGU2009/EGU2009-11280.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
