Flexural-gravity waves in ice channel with a lead

Zeng, Ling-yu; Korobkin, A.A.; Ni, Baoyu; Yang, Xue

doi:10.1017/jfm.2021.335

Cited by 9 publications

(8 citation statements)

References 26 publications

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“…√ gL and dimensionless wavenumber k = kL, tildes are omitted below. The dispersion relations ω (n) (k), where n ≥ 1 and ω (n+1) (k) > ω (n) (k), obtained in this way are the same as in Korobkin et al [18] and Zeng et al [26] for specific conditions.…”

Section: Numerical Resultsmentioning

confidence: 75%

“…These critical speeds are denoted as c (n) cr,1 . Note that some flexural-gravity waves in an ice channel with a lead of non-zero width can have several critical speeds for the same mode, see Zeng et al [26]. Table 1 lists dimensionless critical speeds c (1) cr,2 for dimensionless water depth H = 0.2, 0.5 and 1, which are obtained from figure 3.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…To solve equation ( 26) we distinguish the real and imaginary parts of the vector F, F = F R + i F I . Separating the real and imaginary parts in (26), we arrive at systems of nonhomogeneous equations with respect to F R and F I with symmetric matrices. Namely, equation ( 26) can be written as…”

Section: Solution Of the Problemmentioning

confidence: 99%

See 2 more Smart Citations

Moving load in an ice channel with a crack

Zeng

Korobkin

et al. 2022

Applied Ocean Research

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Section: Numerical Resultsmentioning

confidence: 75%

Section: Numerical Resultsmentioning

confidence: 99%

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Moving load in an ice channel with a crack

Zeng

Korobkin

et al. 2022

Applied Ocean Research

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“…Flexural stiffness can hardly distribute uniformly because of variable thickness and structural irregularities. Different types of irregularities in floating plates and the resulting effects on FG waves have been investigated, such as cracks (Marchenko 1999;Squire & Dixon 2000;Evans & Porter 2003;Porter & Evans 2006Ren, Wu & Li 2020;Barman et al 2021), leads (Chuang & Linton 2005;Williams & Squire 2006;Shi, Li & Wu 2019;Zeng et al 2021), ridges (Marchenko 1996;Marchenko & Voliak 1997;Williams & Squire 2004;Vaughan, Williams & Squire 2007;Squire & Williams 2008) and variable thickness (Porter & Porter 2004;Bennetts, Biggs & Porter 2007;Smith & Meylan 2011). Apart from the above-mentioned investigations on periodic FG waves, solitary FG waves attracted renewed interest in the last two decades due to their relevance to the effects of a moving load and tsunami impact.…”

Section: Introductionmentioning

confidence: 99%

“…2021), leads (Chuang & Linton 2005; Williams & Squire 2006; Shi, Li & Wu 2019; Zeng et al. 2021), ridges (Marchenko 1996; Marchenko & Voliak 1997; Williams & Squire 2004; Vaughan, Williams & Squire 2007; Squire & Williams 2008) and variable thickness (Porter & Porter 2004; Bennetts, Biggs & Porter 2007; Vaughan & Squire 2007; Smith & Meylan 2011). Apart from the above-mentioned investigations on periodic FG waves, solitary FG waves attracted renewed interest in the last two decades due to their relevance to the effects of a moving load and tsunami impact.…”

Section: Introductionmentioning

confidence: 99%

Boussinesq-type equations of hydroelastic waves in shallow water

Tang,

Xiong,

Zhu

2024

J. Fluid Mech.

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Accurate computation of hydroelastic waves in shallow water is critical because many hydroelastic wave applications are nearshores, such as sea-ice and floating infrastructures. In this paper, Boussinesq assumptions for shallow water are employed to derive nonlinear Boussinesq-type equations of hydroelastic waves, in which non-uniform distribution of structural stiffness and varying water depth are considered rigorously. Application of Boussinesq assumptions enables complicated three-dimensional problems to be reduced and formulated on the two-dimensional horizontal plane, therefore the proposed Boussinesq-type models are straightforward and versatile for a wide range of hydroelastic wave applications. Two configurations, a floating plate and a submerged plate, are studied. The first-order linear governing equations are solved analytically with periodic conditions assuming constant depth and uniform stiffness, and the linear dispersion relations are subsequently derived for both configurations. For flexural-gravity waves of a floating plate, unique behaviours of flexural-gravity waves different from shallow-water waves are discussed, and a generalized solitary wave solution is investigated. A nonlinear numerical solver is developed, and nonlinear flexural-gravity waves are found to have smaller wavelength and celerity than their linear counterparts. For hydroelastic waves of a submerged plate, dual-mode analytical solutions are discovered for the first time. Numerical computation has demonstrated that a plate with decreasing submerged depth is able to transfer wave energy from the deeper water to the surface layer.

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A Review of Ice Deformation and Breaking Under Flexural-Gravity Waves Induced by Moving Loads

Ni,

Xiong,

Han

et al. 2024

J. Marine. Sci. Appl.

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Ice-breaking methods have become increasingly significant with the ongoing development of the polar regions. Among many ice-breaking methods, ice-breaking that utilizes a moving load is unique compared with the common collision or impact methods. A moving load can generate flexural-gravity waves (FGWs), under the influence of which the ice sheet undergoes deformation and may even experience structural damage. Moving loads can be divided into above-ice loads and underwater loads. For the above-ice loads, we discuss the characteristics of the FGWs generated by a moving load acting on a complete ice sheet, an ice sheet with a crack, and an ice sheet with a lead of open water. For underwater loads, we discuss the influence on the ice-breaking characteristics of FGWs of the mode of motion, the geometrical features, and the trajectory of motion of the load. In addition to discussing the status of current research and the technical challenges of ice-breaking by moving loads, this paper also looks ahead to future research prospects and presents some preliminary ideas for consideration.

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Flexural-gravity waves in ice channel with a lead

Abstract: Abstract

Cited by 9 publications

References 26 publications

Moving load in an ice channel with a crack

Moving load in an ice channel with a crack

Boussinesq-type equations of hydroelastic waves in shallow water

A Review of Ice Deformation and Breaking Under Flexural-Gravity Waves Induced by Moving Loads

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