Scattering of flexural gravity waves by abrupt change in water depth

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 2050021-2050022
Author(s):  
D. Karmakar ◽  
T. Sahoo
Keyword(s):  
Gravity Waves ◽  
Water Depth ◽  
Abrupt Change ◽  
Flexural Gravity Waves

scholarly journals Measurements of sea-ice flexural stiffness by pressure characteristics of flexural-gravity waves

2013 ◽  
Vol 54 (64) ◽  
pp. 51-60 ◽  
Author(s):  
Aleksey Marchenko ◽  
Eugene Morozov ◽  
Sergey Muzylev
Keyword(s):  
Elastic Modulus ◽  
Gravity Waves ◽  
Water Depth ◽  
Water Pressure ◽  
Field Measurements ◽  
Effective Elastic Modulus ◽  
Flexural Stiffness ◽  
Flexural Gravity Waves ◽  
Using Data ◽  
Relative Errors

Abstract A method to estimate the flexural stiffness and effective elastic modulus of floating ice is described and analysed. The method is based on the analysis of water pressure records at two or three locations below the bottom of floating ice when flexural-gravity waves propagate through the ice. The relative errors in the calculations of the ice flexural stiffness and the water depth are analysed. The method is tested using data from field measurements in Tempelfjorden, Svalbard, where flexural-gravity waves were excited by an icefall at the front of the outflow glacier Tunabreen in February 2011.

scholarly journals Convergence of eigenfunction expansions for flexural gravity waves in infinite water depth

2021 ◽  
Vol 2070 (1) ◽  
pp. 012006
Author(s):  
Santanu Koley ◽  
Kottala Panduranga
Keyword(s):  
Gravity Waves ◽  
Water Depth ◽  
Water Waves ◽  
Eigenfunction Expansion ◽  
Velocity Potential ◽  
Wave Theory ◽  
Delta Function ◽  
Dirac Delta Function ◽  
Dirac Delta ◽  
Flexural Gravity Waves

Abstract In the present paper, point-wise convergence of the eigenfunction expansion to the velocity potential associated with the flexural gravity waves problem in water wave theory is established for infinite water depth case. To take into account the hydroelastic boundary condition at the free surface, a flexible membrane is assumed to float in water waves. In this context, firstly the eigenfunction expansion for the velocity potentials is obtained. Thereafter, an appropriate Green’s function is constructed for the associated boundary value problem. Using suitable properties of the Green’s functions, the vertical components of the eigenfunction expansion is written in terms of the Dirac delta function. Finally, using the property of the Dirac delta function, the convergence of the eigenfunction expansion to the velocity potential is shown.

scholarly journals Flexural-gravity waves in ice channel with a lead

2021 ◽  
Vol 921 ◽  
Author(s):  
L.D. Zeng ◽  
A.A. Korobkin ◽  
B.Y. Ni ◽  
Y.Z. Xue
Keyword(s):  
Gravity Waves ◽  
Flexural Gravity Waves

Abstract

Influence of snow cover on the parameters flexural-gravity waves in ice cover

2013 ◽  
Vol 54 (3) ◽  
pp. 458-464 ◽  
Author(s):  
V. M. Kozin ◽  
V. L. Zemlyak ◽  
V. Yu. Vereshchagin
Keyword(s):  
Snow Cover ◽  
Gravity Waves ◽  
Ice Cover ◽  
Flexural Gravity Waves

scholarly journals Solitary flexural–gravity waves in three dimensions

2018 ◽  
Vol 376 (2129) ◽  
pp. 20170345 ◽  
Author(s):  
Olga Trichtchenko ◽  
Emilian I. Părău ◽  
Jean-Marc Vanden-Broeck ◽  
Paul Milewski
Keyword(s):  
Gravity Waves ◽  
Three Dimensional ◽  
Ice Sheet ◽  
Boundary Integral ◽  
Three Dimensions ◽  
Cosserat Theory ◽  
Theme Issue ◽  
Flexural Gravity Waves ◽  
Forced Waves ◽  
Ice Phenomena

The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369 , 2942–2956 ( doi:10.1098/rsta.2011.0104 )). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’.

Simulation of acoustic and flexural-gravity waves in ice-covered oceans

2018 ◽  
Vol 373 ◽  
pp. 230-252 ◽  
Author(s):  
Ken Mattsson ◽  
Eric M. Dunham ◽  
Jonatan Werpers
Keyword(s):  
Gravity Waves ◽  
Flexural Gravity Waves
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