scholarly journals Wave diffraction by a circular crack in an ice sheet floating on water of finite depth

2018 ◽  
Vol 30 (11) ◽  
pp. 117103 ◽  
Author(s):  
Z. F. Li ◽  
G. X. Wu ◽  
Y. Y. Shi
Keyword(s):  
Wave Diffraction ◽  
Ice Sheet ◽  
Circular Crack ◽  
Finite Depth

scholarly journals Hydroelastic wave diffraction by a vertical cylinder

2011 ◽  
Vol 369 (1947) ◽  
pp. 2832-2851 ◽  
Author(s):  
Paul Brocklehurst ◽  
Alexander Korobkin ◽  
Emilian I. Părău
Keyword(s):  
Incident Wave ◽  
Wave Diffraction ◽  
Plate Theory ◽  
Three Dimensional ◽  
Ice Sheet ◽  
Vertical Cylinder ◽  
Finite Depth ◽  
Cylinder Surface ◽  
Linear Elastic ◽  
Potential Flow Model

A linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder is analysed. The fluid is of finite depth and is covered by an ice sheet, which is clamped to the cylinder surface. The ice stretches from the cylinder to infinity in all lateral directions. The hydroelastic behaviour of the ice sheet is described by linear elastic plate theory, and the fluid flow by a potential flow model. The two-dimensional incident wave is regular and has small amplitude. An analytical solution of the coupled problem of hydroelasticity is found by using a Weber transform. We determine the ice deflection and the vertical and horizontal forces acting on the cylinder and analyse the strain in the ice sheet caused by the incident wave.

scholarly journals Finite-depth effects on solitary waves in a floating ice sheet

2014 ◽  
Vol 49 ◽  
pp. 242-262 ◽  
Author(s):  
Philippe Guyenne ◽  
Emilian I. Părău
Keyword(s):  
Solitary Waves ◽  
Ice Sheet ◽  
Finite Depth ◽  
Depth Effects

scholarly journals On wave diffraction of two-dimensional moonpools in a two-layer fluid with finite depth

2019 ◽  
Vol 173 ◽  
pp. 571-586 ◽  
Author(s):  
Xin Xu ◽  
Xingyu Song ◽  
Xinshu Zhang ◽  
Zhiming Yuan
Keyword(s):  
Wave Diffraction ◽  
Finite Depth ◽  
Two Dimensional

scholarly journals Nonlinear Hydroelastic Waves beneath a Floating Ice Sheet in a Fluid of Finite Depth

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Ping Wang ◽  
Zunshui Cheng
Keyword(s):  
Young’S Modulus ◽  
Wave Energy ◽  
Young's Modulus ◽  
Ice Sheet ◽  
Sheet Thickness ◽  
Finite Depth ◽  
Inviscid Fluid ◽  
Analytic Approximation ◽  
Series Solutions ◽  
Water Depths

The nonlinear hydroelastic waves propagating beneath an infinite ice sheet floating on an inviscid fluid of finite depth are investigated analytically. The approximate series solutions for the velocity potential and the wave surface elevation are derived, respectively, by an analytic approximation technique named homotopy analysis method (HAM) and are presented for the second-order components. Also, homotopy squared residual technique is employed to guarantee the convergence of the series solutions. The present formulas, different from the perturbation solutions, are highly accurate and uniformly valid without assuming that these nonlinear partial differential equations (PDEs) have small parameters necessarily. It is noted that the effects of water depth, the ice sheet thickness, and Young’s modulus are analytically expressed in detail. We find that, in different water depths, the hydroelastic waves traveling beneath the thickest ice sheet always contain the largest wave energy. While with an increasing thickness of the sheet, the wave elevation tends to be smoothened at the crest and be sharpened at the trough. The larger Young’s modulus of the sheet also causes analogous effects. The results obtained show that the thickness and Young’s modulus of the floating ice sheet all greatly affect the wave energy and wave profile in different water depths.

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