Ship wave patterns on floating ice sheets

被引:6
作者
Johnsen, Kristoffer [1 ]
Kalisch, Henrik [1 ]
Parau, Emilian, I [2 ]
机构
[1] Univ Bergen, Dept Math, Postbox 7800, N-5020 Bergen, Norway
[2] Univ East Anglia, Sch Math, Norwich Res Pk, Norwich NR4 7TJ, Norfolk, England
关键词
TIME-DEPENDENT RESPONSE; WHITHAM EQUATION; WATER; COVER; MOTION; PLATE; MODEL; LOAD;
D O I
10.1038/s41598-022-23401-8
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper aims to explore the response of a floating icesheet to a load moving in a curved path. We investigate the effect of turning on the wave patterns and strain distribution, and explore scenarios where turning increases the wave amplitude and strain in the ice, possibly leading to crack formation, fracturing and eventual ice failure. The mathematical model used here is the linearized system of differential equations introduced in Dinvay et al. (J. Fluid Mech. 876:122-149, 2019). The equations are solved using the Fourier transform in space, and the Laplace transform in time. The model is tested against existing results for comparison, and several cases of load trajectories involving turning and decelerating are tested.
引用
收藏
页数:10
相关论文
共 50 条
[41]   Effects of Mountains and Ice Sheets on Global Ocean Circulation [J].
Schmittner, Andreas ;
Silva, Tiago A. M. ;
Fraedrich, Klaus ;
Kirk, Edilbert ;
Lunkeit, Frank .
JOURNAL OF CLIMATE, 2011, 24 (11) :2814-2829
[42]   The configuration of Northern Hemisphere ice sheets through the Quaternary [J].
Batchelor, Christine L. ;
Margold, Martin ;
Krapp, Mario ;
Murton, Della K. ;
Dalton, April S. ;
Gibbard, Philip L. ;
Stokes, Chris R. ;
Murton, Julian B. ;
Manica, Andrea .
NATURE COMMUNICATIONS, 2019, 10 (1)
[43]   Reflections on the structural dynamics of floating beams and ship hulls in waves [J].
Taylor, R. Eatock .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART M-JOURNAL OF ENGINEERING FOR THE MARITIME ENVIRONMENT, 2009, 223 (M3) :257-273
[44]   Wave Diffraction on an Ice Sheet in the Presence of Shear Current [J].
Tkacheva, L. A. .
FLUID DYNAMICS, 2024, 59 (03) :546-560
[45]   Challenges in computer applications for ship and floating structure design and analysis [J].
Sharma, R. ;
Kim, Tae-wan ;
Storch, Richard Lee ;
Hopman, Hans ;
Erikstad, Stein Ove .
COMPUTER-AIDED DESIGN, 2012, 44 (03) :166-185
[46]   Ice Sheets and Sea Level: Thinking Outside the Box [J].
Van den Broeke, Michiel R. ;
Bamber, Jonathan ;
Lenaerts, Jan ;
Rignot, Eric .
SURVEYS IN GEOPHYSICS, 2011, 32 (4-5) :495-505
[47]   The coupling between ocean waves and rectangular ice sheets [J].
Porter, R. .
JOURNAL OF FLUIDS AND STRUCTURES, 2019, 84 :171-181
[48]   An Improved Analytical Solution for the Temperature Profile of Ice Sheets [J].
Rezvanbehbahani, Soroush ;
van der Veen, C. J. ;
Stearns, Leigh A. .
JOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE, 2019, 124 (02) :271-286
[49]   On maximum forces exerted by floating ice on a structure due to constrained thermal expansion of ice [J].
Staroszczyk, Ryszard .
MARINE STRUCTURES, 2021, 75
[50]   Experimental investigations on the influence of ice floating in an internal melt ice-on-coil tank [J].
Lopez-Navarro, A. ;
Biosca-Taronger, J. ;
Torregrosa-Jaime, B. ;
Corberan, J. M. ;
Bote-Garcia, J. L. ;
Paya, J. .
ENERGY AND BUILDINGS, 2013, 57 :20-25