scholarly journals Effect of porous bottom on flexural gravity wave

2020 ◽  
Author(s):  
Muhammad Sani ◽  
Harekrushna Behera
Wave Motion ◽  
2016 ◽  
Vol 63 ◽  
pp. 135-148 ◽  
Author(s):  
S. Das ◽  
H. Behera ◽  
T. Sahoo

Author(s):  
D. Karmakar ◽  
J. Bhattacharjee ◽  
T. Sahoo

Oblique flexural gravity wave scattering due to abrupt change in bottom topography is investigated under the assumption of linearized theory of water waves. The problem is studied first for single step in case of finite water depth whose solution is obtained based on the expansion formulae for flexural gravity wavemaker problem and corresponding orthogonal mode-coupling relation. The results for the multiple step topography are obtained from the result of single step using the method of wide-spacing approximation. Energy relation for oblique flexural gravity wave scattering due to change in bottom topography is used to check the accuracy of the computation. Using shallow water approximation the wave scattering due to multiple step topography is derived considering the continuity of mass and energy flux. In this case also the result for single step topography is obtained and then using the wide-spacing approximation the result for multiple steps are derived. Numerical results for reflection and transmission coefficients and deflection of ice sheet are obtained to analyze the effect of multiple step topography on the propagation of flexural gravity waves.


2016 ◽  
Vol 138 (1) ◽  
pp. 77-102 ◽  
Author(s):  
Arpita Mondal ◽  
Srikumar Panda ◽  
R. Gayen

1983 ◽  
Vol 29 (101) ◽  
pp. 133-141
Author(s):  
Edwin S. Robinson

AbstractFlexural–gravity waves in the 3 ms to 50 ms period range were recorded on floating layers of ice ranging from 6 cm to 52 cm in thickness. These inversely dispersive waves are analogous to Rayleigh waves propagating on a multi-layered structure. Therefore, flexural–gravity wave dispersion curves can be calculated by the well-known Haskell–Thompson method. This approach allows the effects of snow layers and stratification of the ice to be evaluated. In earlier methods of calculating flexural–gravity wave dispersion. the structure was restricted to a single homogeneous solid layer over a homogeneous fluid. The effect of a low-velocity snow layer is to reduce the short-period phase velocity, and to increase the velocity at long periods. Dispersion curves for ice layers with and without a snow cover cross at an intermediate period that increases as ice thickness increases. These effects are measurable in seismic experiments on frozen ponds and lakes.


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