Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T19:37:02.807Z Has data issue: false hasContentIssue false
  • English
  • Français

Radiation of waves by a cylinder submerged in water with ice floe or polynya

Published online by Cambridge University Press:  04 November 2015

Izolda V. Sturova
Izolda V. Sturova*
Affiliation:
Lavrentyev Institute of Hydrodynamics, av. Lavrentyev 15, Novosibirsk 630090, Russia
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The problems of radiation (sway, heave and roll) of surface and flexural-gravity waves by a submerged cylinder are investigated for two configurations, concerning; (i) a freely floating finite elastic plate modelling an ice floe, and (ii) two semi-infinite elastic plates separated by a region of open water (polynya). The fluid of finite depth is assumed to be inviscid, incompressible and homogeneous. The linear two-dimensional problems are formulated within the framework of potential-flow theory. The method of mass sources distributed along the body contour is applied. The corresponding Green’s function is obtained by using matched eigenfunction expansions. The radiation load (added mass and damping coefficients) and the amplitudes of vertical displacements of the free surface and elastic plates are calculated. Reciprocity relations which demonstrate both symmetry of the radiation load coefficients and the relation of damping coefficients with the far-field form of the radiation potentials are found. It is shown that wave motion essentially depends on the position of the submerged body relative to the elastic plate edges. The results of solving the radiation problem are compared with the solution of the diffraction problem. It is noted that resonant frequencies in the radiation problem correlate with those frequencies at which the reflection coefficient in the diffraction problem has a local minimum.

JFM classification

Geophysical and Geological Flows: Ice sheets Waves/Free-surface Flows: Surface gravity waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 784 , 10 December 2015 , pp. 373 - 395
Check for updates
Copyright
© 2015 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barrett, M. D. & Squire, V. A. 1996 Ice-coupled wave propagation across an abrupt change in ice rigidity, density, or thickness. J. Geophys. Res. 101, 20825–20832.CrossRefGoogle Scholar
Chakrabarti, A. & Mohapatra, S. 2013 Scattering of surface water waves involving semi-infinite floating elastic plates on water of finite depth. J. Mar. Sci. Appl. 12, 325–333.CrossRefGoogle Scholar
Chung, H. & Linton, C. M. 2005 Reflection and transmission of waves across a gap between two semi-infinite elastic plates on water. Q. J. Mech. Appl. Maths 58, 1–15.CrossRefGoogle Scholar
Fox, C. & Squire, V. A. 1994 On the oblique reflexion and transmission of ocean waves at shore fast sea ice. Phil. Trans. R. Soc. Lond. A 347, 185–218.Google Scholar
Hermans, A. J. 2004 Interaction of free-surface waves with floating flexible strips. J. Engng Maths 49, 133–147.CrossRefGoogle Scholar
Hermans, A. J. 2014 The interaction of a submerged object with a very large floating platform. In Proceedings of the 29th International Workshop on Water Waves and Floating Bodies, Osaka, Japan, March 30–April 02.Google Scholar
Linton, C. M. & McIver, P. 2001 Handbook of Mathematical Techniques for Wave/Structure Interactions. Chapman & Hall/CRC Press.CrossRefGoogle Scholar
Meylan, M. H. & Tomic, M. 2012 Complex resonances and the approximation of wave forcing for floating elastic bodies. Appl. Ocean Res. 36, 51–59.CrossRefGoogle Scholar
Sahoo, T. 2012 Mathematical Techniques for Wave Interaction with Flexible Structures. CRC Press.CrossRefGoogle Scholar
Savin, A. A. & Savin, A. S. 2013 Waves generated on an ice cover by a source pulsating in fluid. Fluid Dyn. 48, 303–309.CrossRefGoogle Scholar
Squire, V. A. 2011 Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Phil. Trans. R. Soc. Lond. A 369, 2813–2831.Google ScholarPubMed
Sturova, I. V. 2013 Unsteady three-dimensional sources in deep water with an elastic cover and their applications. J. Fluid Mech. 730, 392–418.CrossRefGoogle Scholar
Sturova, I. V. 2014 Wave generation by an oscillating submerged cylinder in the presence of a floating semi-infinite elastic plate. Fluid Dyn. 49, 504–514.CrossRefGoogle Scholar
Sturova, I. V. 2015 The effect of a crack in an ice sheet on the hydrodynamic characteristics of a submerged oscillating cylinder. J. Appl. Maths Mech. 79, 170–178.CrossRefGoogle Scholar
Sturova, I. V. & Tkacheva, L. A. 2015 Wave radiation by a cylinder submerged in water with an ice floe or a polynya. In Proceedings of 30th International Workshop on Water Waves and Floating Bodies, Bristol, UK, April 12–15.Google Scholar
Tkacheva, L. A. 2015 Oscillations of submerged cylinder in fluid in the presence of an ice cover. J. Appl. Mech. Tech. Phys. (in press).CrossRefGoogle Scholar