scholarly journals Modelling wave-induced sea ice break-up in the marginal ice zone

2017 ◽  
Vol 473 (2206) ◽  
pp. 20170258 ◽  
Author(s):  
F. Montiel ◽  
V. A. Squire
Keyword(s):  
Stress Field ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Field Studies ◽  
Ocean Wave ◽  
Wave Forcing ◽  
Marginal Ice Zone ◽  
Break Up ◽  
Wave Induced

A model of ice floe break-up under ocean wave forcing in the marginal ice zone (MIZ) is proposed to investigate how floe size distribution (FSD) evolves under repeated wave break-up events. A three-dimensional linear model of ocean wave scattering by a finite array of compliant circular ice floes is coupled to a flexural failure model, which breaks a floe into two floes provided the two-dimensional stress field satisfies a break-up criterion. A closed-feedback loop algorithm is devised, which (i) solves the wave-scattering problem for a given FSD under time-harmonic plane wave forcing, (ii) computes the stress field in all the floes, (iii) fractures the floes satisfying the break-up criterion, and (iv) generates an updated FSD, initializing the geometry for the next iteration of the loop. The FSD after 50 break-up events is unimodal and near normal, or bimodal, suggesting waves alone do not govern the power law observed in some field studies. Multiple scattering is found to enhance break-up for long waves and thin ice, but to reduce break-up for short waves and thick ice. A break-up front marches forward in the latter regime, as wave-induced fracture weakens the ice cover, allowing waves to travel deeper into the MIZ.

Theoretical researches on three-dimensional coda wave scattering problem

1995 ◽  
Vol 8 (1) ◽  
pp. 83-87 ◽  
Author(s):  
Yong-An Nie ◽  
Jian Zeng ◽  
De-Yi Feng
Keyword(s):  
Wave Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Coda Wave

Scattering of Guided Waves by Circumferential Cracks in Steel Pipes

2000 ◽  
Vol 68 (4) ◽  
pp. 619-631 ◽  
Author(s):  
H. Bai ◽  
A. H. Shah ◽  
N. Popplewell ◽  
S. K. Datta
Keyword(s):  
Wave Scattering ◽  
Guided Waves ◽  
Crack Depth ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Axial Direction ◽  
Computational Time ◽  
Steel Pipes ◽  
Transmission Coefficients

A novel numerical procedure is presented in this paper to study wave scattering problem by circumferential cracks in steel pipes. The study is motivated by the need to develop a quantitative ultrasonic technique to characterize properties of cracks in pipes. By employing wave function expansion in axial direction and decomposing the problem into a symmetry problem and an antisymmetry problem, a three-dimensional wave scattering problem is then reduced into two quasi-one-dimensional problems. This simplification greatly reduces the computational time. Numerical results for reflection and transmission coefficients of different incident wave modes are presented here for a steel pipe with cracks (may have arbitrary circumferential crack length and radial crack depth) and they are shown to agree quite closely with available but limited experimental data.

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

2016 ◽  
Vol 790 ◽  
pp. 492-522 ◽  
Author(s):  
Fabien Montiel ◽  
V. A. Squire ◽  
L. G. Bennetts
Keyword(s):  
Wave Field ◽  
Wave Energy ◽  
Scattering Problem ◽  
Ocean Wave ◽  
Thin Elastic Plate ◽  
Linear Potential ◽  
Wave Spectra ◽  
Water Ice ◽  
Marginal Ice Zone ◽  
Ice Floes

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 multidirectional 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. The 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. The directional spreading is shown to weaken when the wavelength becomes larger than the maximum floe size.

scholarly journals Imaging of bi-anisotropic periodic structures from electromagnetic near-field data

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Dinh-Liem Nguyen ◽  
Trung Truong
Keyword(s):  
Inverse Scattering ◽  
Maxwell Equations ◽  
Field Data ◽  
Periodic Structures ◽  
Near Field ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Inverse Scattering Problem ◽  
Factorization Method ◽  
Unique Determination

AbstractThis paper is concerned with the inverse scattering problem for the three-dimensional Maxwell equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near-field data at a fixed frequency. The factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.

Three-dimensional numerical simulation of wave-induced scour around a pile on a sloping beach

2021 ◽  
Vol 233 ◽  
pp. 109174
Author(s):  
Jinzhao Li ◽  
David R. Fuhrman ◽  
Xuan Kong ◽  
Mingxiao Xie ◽  
Yilin Yang
Keyword(s):  
Numerical Simulation ◽  
Three Dimensional ◽  
Sloping Beach ◽  
Wave Induced

scholarly journals Numerical simulation of the three-dimensional wave-induced currents on unstructured grid

2017 ◽  
Vol 31 (5) ◽  
pp. 539-548
Author(s):  
Ping Wang ◽  
Ning-chuan Zhang ◽  
Shuai Yuan ◽  
Wei-bin Chen
Keyword(s):  
Numerical Simulation ◽  
Unstructured Grid ◽  
Three Dimensional ◽  
Induced Currents ◽  
Wave Induced ◽  
Dimensional Wave
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