NDLI: Effect of Current on Flexural Gravity Waves

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Bhattacharjee, Joydip Sahoo, Trilochan
Copyright Year	2006
Abstract	The effect of uniform current on the propagation of flexural gravity waves due to a floating ice sheet is analyzed in two dimensions. The problem is formulated as an initial boundary value problem in the linearized theory of water waves. By using Laplace transform technique, the initial boundary value problem is reduced to a boundary value problem, which is solved by the application of Fourier transform to obtain the surface elevation in terms of an integral, which is evaluated asymptotically for large distance and time by the application of method of stationary phase to obtain the far field behavior of the progressive waves. The effect of current on the wavelength, phase velocity and group velocity of the flexural gravity waves propagating below the floating ice sheet is analyzed theoretically to obtain certain critical values on the speed of current which are of significant importance. Simple numerical computations are performed to observe the effect of uniform current on the surface elevation, wavelength, phase velocity and group velocity of flexural gravity waves and on the far field behavior of the progressive waves.
Sponsorship	Ocean, Offshore, and Arctic Engineering Division
Starting Page	699
Ending Page	707
Page Count	9
File Format	PDF
ISBN	0791847470
DOI	10.1115/OMAE2006-92132
e-ISBN	0791837777
Volume Number	Volume 2: Ocean Engineering and Polar and Arctic Sciences and Technology
Conference Proceedings	25th International Conference on Offshore Mechanics and Arctic Engineering
Language	English
Publisher Date	2006-06-04
Publisher Place	Hamburg, Germany
Access Restriction	Subscribed
Subject Keyword	Water waves Fourier transforms Gravity (force) Computation Boundary-value problems Dimensions Ice Laplace transforms Waves Wavelength
Content Type	Text
Resource Type	Article

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