Proceedings of the Thirty-second (2022) International Ocean and Polar Engineering Conference
Shanghai, China, June 5–10, 2022
Copyright © 2022 by the International Society of Offshore and Polar Engineers (ISOPE)
ISBN 978-1-880653-81-4; ISSN 1098-6189

www.isope.org

Hydrodynamic Behaviour of A Ship Navigation Near A Large
Ice Sheet
Yuyun Shi, Yunhe Yan, Zhifu Li *School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology.
Zhenjiang, Jiangsu, China

ABSTRACT

Chwang (2001) introduced an orthogonal inner product to deal with theedge conditions of the ice sheet and the continuity condition at theinterface as well. Linton and Chung (2003) used the residue calculus
technique to consider the wave propagation in open water with an semiinfinite ice sheet. Shi, Li, and Wu (2019) applied the wide spaceapproximation to solution of wave interaction with much more icesheet.
The interaction problem of wave, ship and ice motion attracting much
more attentions has been started more recently. Sturova (2015) derived
the two-dimensional Green functions for a submerged cylinder in waterwith ice sheet and polynya through the matched eigenfunction method.
Ren, Wu, and Thomas (2016) obtained a barge floating in open water
confined with two semi-infinite ice sheets in analytical expressions. Li,Shi, and Wu (2017) constructed a hybrid method for the similar
problem, in which the shape of body is assumed to be arbitrary in twodimensional sense. For three-dimensional problems, Ren, Wu, and Ji(2018) obtained semi-analytical solutions of a vertical cylinder standingin circular polynya via the matched eigenfunction method. Li, Shi, andWu (2020) incorporating the matched eigenfunction method and theboundary integral equation into the solution of a body of arbitrary
shape floating in an arbitrary shaped polynya. For the interaction
problem of wave/ship/ice, several specific Green functions have beenobtained through complex derivations (Li & Wu, 2021; Li, Wu, & Ren,2021).
In this paper, we shall consider an Arctic icebreaker navigating near alarge ice sheet. The large ice sheet is assumed to be semi-infinite and ofuniform properties. The mathematical model is established. Based on
the Green function(Li & Wu, 2021), the boundary element method isadopted to construct the solution. And the added mass, damp
coefficients and exciting forces of the ship are provided. Finally, thehydrodynamic behaviours of the ship navigating near a large ice sheet
are drawn.

The wave interaction problem with a ship floating in the open water
near a large ice sheet is considered. In this work, the linearized velocity
potential theory is adopted for fluid flow and the thin elastic plate
theory is used for the ice sheet. The large ice sheet is assumed to besemi-infinite extended and of uniform properties. A boundary integral
equation is developed for the velocity potential based on a specificGreen function, which satisfies both the boundary conditions on freesurface and the semi-infinite ice sheet. Numerical results show
oscillatory behaviours of the wave load against the wavenumber when
the ship is closed to the semi-infinite ice sheet.

KEY WORDS: large ice sheet; Green function; boundary element
method; hydrodynamic behaviour
INTRODUCTION
For a ship sailing in the Arctic region, it may often encounter situationthat the ship is floating in open water close to a large ice sheet, at which
the hydrodynamic behaviour of the ship will differ from that in open
water without ice sheet.
There has been extensive work on ice sheet/wave interactions. Fox andSquire (1990) studied the wave propagation in open water with an ice
sheet through the matched eigenfunction method. In their work, theshore fast ice is modelized as a thin elastic plate, due to the factor thatthe ice thickness is much smaller than its length. They extend themethod into the interaction problem of oblique incident wave with ice
sheet later (Fox & Squire, 1994). Balmforth and Craster (1999)
considered a similar problem based on the Wiener-Hopf method, inwhich the Timoshenko-Mindlin theory was used to describe the icesheet. In this notable work, they revealed that the Kirchhoff-Lovemodel gave similar results with the Timoshenko-Mindlin model incertain range of wave and ice sheet parameters. Sahoo, Yip, andMATHEMATICAL MODEL
For the problem of a ship floating near a large ice sheet, the speed of
the ship is set to be zero, and the ice sheet is assumed to be semi-finite*

Corresponding author. E-mail address: zhifu.li@hotmail.com

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