Linear water wave propagation through multiple floating elastic plates of variable properties

Kohout, Alison L.; Meylan, Michael H.; Sakai, Shigeki; Hanai, Kota; Leman, P.; Brossard, D.

doi:10.1016/j.jfluidstructs.2006.10.012

Cited by 78 publications

(73 citation statements)

References 20 publications

(29 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3.1 for the discussion on the sources of damping in the present model version). At the rear side of large floes, small-amplitude ripples are observed before the stress drops to zero -similar increase of the amplitude of the vertical motion of elastic plates at their down-wave ends has been observed and modeled, e.g., by Kohout et al (2007) and Yoon et al (2014). As already mentioned, small floes (L o < L w,0 /2) have only one stress maximum, as they undergo bending around their symmetry axis (Fig.…”

Section: Stress Variability In Continuous Icesupporting

confidence: 72%

Wave-induced stress and breaking of sea ice in a coupled hydrodynamic discrete-element wave–ice model

Herman

2017

The Cryosphere

View full text Add to dashboard Cite

Abstract. In this paper, a coupled sea ice-wave model is developed and used to analyze wave-induced stress and breaking in sea ice for a range of wave and ice conditions. The sea ice module is a discrete-element bonded-particle model, in which ice is represented as cuboid "grains" floating on the water surface that can be connected to their neighbors by elastic joints. The joints may break if instantaneous stresses acting on them exceed their strength. The wave module is based on an open-source version of the Non-Hydrostatic WAVE model (NHWAVE). The two modules are coupled with proper boundary conditions for pressure and velocity, exchanged at every wave model time step. In the present version, the model operates in two dimensions (one vertical and one horizontal) and is suitable for simulating compact ice in which heave and pitch motion dominates over surge. In a series of simulations with varying sea ice properties and incoming wavelength it is shown that wave-induced stress reaches maximum values at a certain distance from the ice edge. The value of maximum stress depends on both ice properties and characteristics of incoming waves, but, crucially for ice breaking, the location at which the maximum occurs does not change with the incoming wavelength. Consequently, both regular and random (Jonswap spectrum) waves break the ice into floes with almost identical sizes. The width of the zone of broken ice depends on ice strength and wave attenuation rates in the ice.

show abstract

Section: Stress Variability In Continuous Icesupporting

confidence: 72%

Wave-induced stress and breaking of sea ice in a coupled hydrodynamic discrete-element wave–ice model

Herman

2017

The Cryosphere

View full text Add to dashboard Cite

show abstract

“…The first experiments, done by Wadhams [46] using empty film canisters as floats, demonstrated unequivocally that such experiments were difficult to execute but were nonetheless extremely useful to making sense of how scattering modifies an incoming wave train under controlled conditions. Many years later, Kohout et al [47] reported a similar two-dimensional experiment using 20 mm thick elastic sheets to represent the sea ice, in a 26 m long wave tank with an active control beach to eliminate reflected waves. Passable agreement was found between the data collected and a solution based upon eigenfunction matching at the boundaries of the plates where free-edge conditions were imposed.…”

Section: Field and Laboratory Experimentsmentioning

confidence: 99%

Past, present and impendent hydroelastic challenges in the polar and subpolar seas

Squire

2011

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

Current and emergent advances are examined on the topic of hydroelasticity theory applied to natural sea ice responding to the action of ocean surface waves and swell, with attention focused on methods that portray sea ice more faithfully as opposed to those that oversimplify interactions with a poor imitation of reality. A succession of authors have confronted and solved by various means the demanding applied mathematics associated with ocean waves (i) entering a vast sea-ice plate, (ii) travelling between plates of different thickness, (iii) impinging on a pressure ridge, (iv) affecting a single ice floe with arbitrarily specified physical and material properties, and (v) many such features or mixtures thereof. The next step is to embed simplified versions of these developments in an oceanic general circulation model for forecasting purposes. While targeted on specific sea-ice situations, many of the reported results are equally applicable to the interaction of waves with very large floating structures, such as pontoons, floating airports and mobile offshore bases.

show abstract

“…Meylan [64] proposed a solution by combining the boundary element method and finite element method for the scattering response of an ice floe with arbitrary shape. Small scale models of multiple ice floes are reported by Kohout and Meylan [65] and Kohout et al [58]. The small scale models provide the scatting kernel which becomes the core part of the large scale models.…”

Section: Effect Of Evanescent Modesmentioning

confidence: 94%

“…There are several methods to calculate the ocean wave reflection and transmission at the interface between two connected regions of open water or of different ice cover properties. In Squire and his colleagues papers, they used the Green function method [56], matched eigenfunction expansion method [57,58], and the variational method [19][20][21]. A more complete review of these methods can be found in Squire [11], which covers problems with the interfaces like: free ice edge, cracks, pressure ridges, refrozen leads, and abrupt change of ice thickness or the material moduli, all under the thin elastic plate assumption.…”

Section: Wave Reflection and Transmissionmentioning

confidence: 99%

Modeling ocean wave propagation under sea ice covers

2015

View full text Add to dashboard Cite

Operational ocean wave models need to work globally, yet current ocean wave models can only treat icecovered regions crudely. The purpose of this paper is to provide a brief overview of ice effects on wave propagation and different research methodology used in studying these effects. Based on its proximity to land or sea, sea ice can be classified as: landfast ice zone, shear zone, and the marginal ice zone. All ice covers attenuate wave energy. Only long swells can penetrate deep into an ice cover. Being closest to open water, wave propagation in the marginal ice zone is the most complex to model. The physical appearance of sea ice in the marginal ice zone varies. Grease ice, pancake ice, brash ice, floe aggregates, and continuous ice sheet may be found in this zone at different times and locations. These types of ice are formed under different thermal-mechanical forcing. There are three classic models that describe wave propagation through an idealized ice cover: mass loading, thin elastic plate, and viscous layer models. From physical arguments we may conjecture that mass loading model is suitable for disjoint aggregates of ice floes much smaller than the wavelength, thin elastic plate model is suitable for a continuous ice sheet, and the viscous layer model is suitable for grease ice. For different sea ice types we may need different wave ice interaction models. A recently proposed viscoelastic model is able to synthesize all three classic models into one. Under suitable limiting conditions it converges to the three previous models. The complete theoretical framework for evaluating wave propagation through various ice covers need to be implemented in the operational ocean wave models. In this review, we introduce the sea ice types, previous wave ice interaction models, wave attenuation mechanisms, The project was supported by the US Office of Naval Research (N00014-13-1-0294). the methods to calculate wave reflection and transmission between different ice covers, and the effect of ice floe breaking on shaping the sea ice morphology. Laboratory experiments, field measurements and numerical simulations supporting the fundamental research in wave-ice interaction models are discussed. We conclude with some outlook of future research needs in this field.

show abstract

Linear water wave propagation through multiple floating elastic plates of variable properties

Cited by 78 publications

References 20 publications

Wave-induced stress and breaking of sea ice in a coupled hydrodynamic discrete-element wave–ice model

Wave-induced stress and breaking of sea ice in a coupled hydrodynamic discrete-element wave–ice model

Past, present and impendent hydroelastic challenges in the polar and subpolar seas

Modeling ocean wave propagation under sea ice covers

Contact Info

Product

Resources

About