Flexural-gravity wave motion in the presence of shear current: Wave blocking and negative energy waves

2018 ◽  
Vol 30 (10) ◽  
pp. 106606 ◽  
Author(s):  
Santu Das ◽  
Prakash Kar ◽  
Trilochan Sahoo ◽  
Michael H. Meylan
Keyword(s):  
Gravity Wave ◽  
Wave Motion ◽  
Negative Energy ◽  
Current Wave ◽  
Shear Current ◽  
Wave Blocking ◽  
Flexural Gravity Wave

Flexural gravity wave motion over poroelastic bed

Wave Motion ◽  
2016 ◽  
Vol 63 ◽  
pp. 135-148 ◽  
Author(s):  
S. Das ◽  
H. Behera ◽  
T. Sahoo
Keyword(s):  
Gravity Wave ◽  
Wave Motion ◽  
Flexural Gravity Wave

scholarly journals The role of viscoelastic foundation on flexural gravity wave blocking in shallow water

AIP Advances ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 065317
Author(s):  
S. Boral ◽  
S. Nath ◽  
T. Sahoo ◽  
Michael H. Meylan
Keyword(s):  
Shallow Water ◽  
Gravity Wave ◽  
Viscoelastic Foundation ◽  
Wave Blocking ◽  
Flexural Gravity Wave

Forced Flexural Gravity Wave Motion in Two-Layer Fluid

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
R. Mondal ◽  
J. Bhattacharjee ◽  
T. Sahoo
Keyword(s):  
Gravity Wave ◽  
Wave Motion ◽  
Wave Reflection ◽  
Ice Sheet ◽  
Elastic Beam ◽  
Wave Theory ◽  
Free Edge ◽  
Physical Parameters ◽  
Flexural Gravity Wave ◽  
Water Depths

Generation of flexural gravity waves in a two-layer fluid due to the forced motion of a vertical rigid wavemaker is studied in both finite and infinite water depths. The two-dimensional (2D) fluid domain having an interface is covered by a semi-infinite ice sheet, which is modeled as an elastic beam. As an application of the wavemaker problem, flexural gravity wave reflection by a vertical cliff is analyzed. Under the assumptions of small amplitude water wave theory and structural response, the mathematical models are solved using a recently developed expansion formulae and the associated orthogonal mode-coupling relations as appropriate for finite and infinite water depths. Effect of three types of edges such as free edge, simply supported edge, and built-in edge on the wave reflection by the vertical cliff is analyzed whilst, for the wavemaker, the floating ice sheet is assumed to have free edge. Effect of various physical parameters on the wave motion is studied by analyzing the reflection coefficients, deflection of the ice sheet, interface elevation, strain and shear force on the floating ice sheet.

Flexural Gravity Wave Scattering Due to Variations in Bottom Topography

2009 ◽  
Author(s):  
D. Karmakar ◽  
J. Bhattacharjee ◽  
T. Sahoo
Keyword(s):  
Gravity Wave ◽  
Water Waves ◽  
Wave Scattering ◽  
Bottom Topography ◽  
Single Step ◽  
Energy Relation ◽  
Wide Spacing ◽  
Expansion Formulae ◽  
Flexural Gravity Wave ◽  
Multiple Step

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.

Flexural-Gravity Wave Scattering by a Circular-Arc-Shaped Porous Plate

2016 ◽  
Vol 138 (1) ◽  
pp. 77-102 ◽  
Author(s):  
Arpita Mondal ◽  
Srikumar Panda ◽  
R. Gayen
Keyword(s):  
Gravity Wave ◽  
Wave Scattering ◽  
Porous Plate ◽  
Circular Arc ◽  
Flexural Gravity Wave

Forced capillary-gravity wave motion of two-layer fluid in three-dimensions

Meccanica ◽  
2013 ◽  
Vol 49 (4) ◽  
pp. 939-960 ◽  
Author(s):  
S. C. Mohapatra ◽  
T. Sahoo
Keyword(s):  
Gravity Wave ◽  
Wave Motion ◽  
Three Dimensions
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