Hydroelastic response of floating elastic discs to regular waves. Part 2. Modal analysis

Montiel, Fabien; Bennetts, Luke G.; Squire, Vernon A.; Bonnefoy, Félicien; Ferrant, P.

doi:10.1017/jfm.2013.124

Cited by 57 publications

(50 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Again, this is related to both wave reflection at the ice edge and the response of the ice itself. For very short waves, strong reflection leads to lower wave amplitude within the ice; for very long waves, however, reflection and damping within the ice are weaker, but the wave steepness is small as well, leading to less intense flexural motion of the ice (see also Montiel et al, 2013). Most importantly, the location of σ t,max is almost independent of the incoming wavelength ( Fig.…”

Section: Stress Variability In Continuous Icementioning

confidence: 92%

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 Icementioning

confidence: 92%

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

“…They are associated with evanescent vertical wave modes which decay exponentially in the horizontal directions, such that the rate of decay increases for increasing m. In contrast to k 0 , the values of k m , m ⩾ 1, depend on h. Note that the sums in (2.8) are truncated versions of the corresponding series expansions, with M 1 and N chosen in order to obtain a sufficient degree of accuracy (see below). Montiel et al (2013) proposed a solution method for the single floe scattering problem. Using equations (2.1), (2.2), (2.6), (2.7a) and (2.7b) they expressed the potential below the floe (i.e.…”

Section: Scattering By a Single Floementioning

confidence: 99%

Attenuation and directional spreading of ocean wave spectra in the marginal ice zone

2016

Self Cite

View full text Add to dashboard Cite

A theoretical model is used to study wave energy attenuation and directional spreading of ocean wave spectra in the marginal ice zone (MIZ). The MIZ is constructed as an array of tens of thousands of compliant circular ice floes, with randomly selected positions and radii determined by an empirical floe size distribution. Linear potential flow and thin elastic plate theories model the coupled water-ice system. A new method is proposed to solve the time-harmonic multiple scattering problem under a multi-directional incident wave forcing with random phases. It provides a natural framework for tracking the evolution of the directional properties of a wave field through the MIZ. The attenuation and directional spreading are extracted from ensembles of the wave field with respect to realizations of the MIZ and incident forcing randomly generated from prescribed distributions. The averaging procedure is shown to converge rapidly so that only a small number of simulations need to be performed. Far field approximations are investigated, allowing efficiency improvements with negligible loss of accuracy. A case study is conducted for a particular MIZ configuration. Observed exponential attenuation of wave energy through the MIZ is reproduced by the model, while the directional spread is found to grow linearly with distance. Directional spreading is shown to weaken when the wavelength becomes larger than the maximum floe size.

show abstract

“…Montiel et al [31,32] provided the only previous related validation. However, Montiel et al [31,32] applied artificial restraints to the disc to match the model assumptions as part of the experimental set-up. In particular, a rod was used to restrict surge motions, and a barrier was attached to the edge of the disc to prevent wave overwash.…”

Section: Introductionmentioning

confidence: 99%

Water wave transmission by an array of floating discs

Bennetts

Williams²

2015

Proc. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

An experimental validation of theoretical models of regular-water-wave transmission through arrays of floating discs is presented. The experiments were conducted in a wave basin. The models are based on combined potential-flow and thin-plate theories, and the assumption of linear motions. A lowconcentration array, in which discs are separated by approximately a disc diameter in equilibrium, and a high-concentration array, in which adjacent discs are almost touching in equilibrium, were used for the experiments. The proportion of incident-wave energy transmitted by the discs is presented as a function of wave period, and for different wave amplitudes. Results indicate the models predict waveenergy transmission accurately for small-amplitude waves and low-concentration arrays. Discrepancies for large-amplitude waves and high-concentration arrays are attributed to wave overwash of the discs and collisions between discs. Validation of model predictions of a solitary disc's rigid-body motions are also presented.

show abstract

Hydroelastic response of floating elastic discs to regular waves. Part 2. Modal analysis

Cited by 57 publications

References 24 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

Attenuation and directional spreading of ocean wave spectra in the marginal ice zone

Water wave transmission by an array of floating discs

Contact Info

Product

Resources

About