2021 |
Rogers WE, Meylan MH, Kohout AL, 'Estimates of spectral wave attenuation in Antarctic sea ice, using model/data inversion', Cold Regions Science and Technology, 182 (2021)
© 2020 A model-data inversion is applied to an extensive observational dataset collected in the Southern Ocean north of the Ross Sea during late autumn to early winter, producing ... [more]
© 2020 A model-data inversion is applied to an extensive observational dataset collected in the Southern Ocean north of the Ross Sea during late autumn to early winter, producing estimates of the frequency-dependent rate of dissipation by sea ice. The modeling platform is WAVEWATCH III® which accounts for non-stationarity, advection, wave generation, and other relevant processes. The resulting 9477 dissipation profiles are co-located with other variables such as ice thickness to quantify correlations which might be exploited in later studies to improve predictions. An average of dissipation profiles from cases of thinner ice near the ice edge is fitted to a simple binomial. The binomial shows remarkable qualitative similarity to prior observation-based estimates of dissipation, and the power dependence is consistent with at least three theoretical models, one of which assumes that dissipation is dominated by turbulence generated by shear at the ice-water interface. Estimated dissipation is lower closer to the ice edge, where ice is thinner, and waveheight is larger. The quantified correlation with ice thickness may be exploited to develop new parametric predictions of dissipation.
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2021 |
Aggarwal R, Lamichhane BP, Meylan MH, Wensrich CM, 'An investigation of radial basis function method for strain reconstruction by energy-resolved neutron imaging', Applied Sciences (Switzerland), 11 1-16 (2021)
© 2021 by the authors. The main objective of the current work is to determine meshless methods using the radial basis function (RBF) approach to estimate the elastic strain field ... [more]
© 2021 by the authors. The main objective of the current work is to determine meshless methods using the radial basis function (RBF) approach to estimate the elastic strain field from energy-resolved neutron imaging. To this end, we first discretize the longitudinal ray transformation with RBF methods to give us an unconstrained optimization problem. This discretization is then transformed into a constrained optimization problem by adding equilibrium conditions to ensure uniqueness. The efficiency and accuracy of this approach are investigated for the situation of 2D plane stress. In addition, comparisons are made between the results obtained with RBF collocation, finite-element (FEM) and analytical solution methods for test problems. The method is then applied to experimentally measured continuous and discontinuous strain fields using steel samples for an offset ring-and-plug and crushed ring, respectively.
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2020 |
Aggarwal R, Meylan MH, Lamichhane BP, Wensrich CM, 'Energy Resolved Neutron Imaging for Strain Reconstruction Using the Finite Element Method', Journal of Imaging, 6 (2020) [C1]
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2020 |
Kar P, Sahoo T, Meylan MH, 'Bragg scattering of long waves by an array of floating flexible plates in the presence of multiple submerged trenches', Physics of Fluids, 32 (2020) [C1]
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2020 |
Smith MJA, Peter MA, Abrahams ID, Meylan MH, 'On the Wiener-Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 476 (2020) [C1]
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2020 |
Zheng S, Meylan MH, Fan L, Greaves D, Iglesias G, 'Wave scattering by a floating porous elastic plate of arbitrary shape: A semi-analytical study', Journal of Fluids and Structures, 92 (2020) [C1]
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2020 |
Meylan MH, Perrie W, Toulany B, Hu Y, Casey MP, 'On the Three-Dimensional Scattering of Waves by Flexible Marginal Ice Floes', Journal of Geophysical Research: Oceans, 125 (2020) [C1]
© 2020. American Geophysical Union. All Rights Reserved. We reformulate a three-dimensional theory for wave-ice interactions for flexible ice floes and present a comparison of thi... [more]
© 2020. American Geophysical Union. All Rights Reserved. We reformulate a three-dimensional theory for wave-ice interactions for flexible ice floes and present a comparison of this new formulation with selected recent parameterizations for the scattering of ocean surface waves due to individual ice floes. The formulation is based on single flow scattering and a transport equation for energy, which fits with the paradigm used in wave prediction code. These parameterizations are implemented as source terms in the action balance equation for a modern version of the phase-averaging wave model WAVEWATCH III® (denoted WW3). In this comparison, a simple experiment is performed with regularly distributed ice floes in a marginal ice zone. With the new wave-ice formulation, results show that attenuation in the direction of propagation is less intense than for the other considered formulations, scattering is more isotropic, and the wave energy is attenuated in the region of the original spectral peak. Thus, a new spectral peak is developed, which is shifted to higher frequencies. The wave scattering and subsequent attenuation are related to the floe response amplitude and the dimensions of the ice floes.
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2020 |
Zheng S, Meylan MH, Greaves D, Iglesias G, 'Water-wave interaction with submerged porous elastic disks', Physics of Fluids, 32 (2020) [C1]
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2020 |
Tran-Duc T, Meylan MH, Thamwattana N, Lamichhane BP, 'Wave Interaction and Overwash with a Flexible Plate by Smoothed Particle Hydrodynamics', WATER, 12 (2020) [C1]
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2020 |
Das S, Sahoo T, Meylan MH, 'An investigation of the properties of flexural-gravity wave propagation in a coupled submerged and floating plate system', European Journal of Mechanics, B/Fluids, 82 123-134 (2020) [C1]
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2020 |
Zheng S, Meylan MH, Zhu G, Greaves D, Iglesias G, 'Hydroelastic interaction between water waves and an array of circular floating porous elastic plates', Journal of Fluid Mechanics, 900 A20-1-A20-25 (2020) [C1]
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2020 |
Kalyanaraman B, Meylan MH, Lamichhane B, 'Coupled Brinkman and Kozeny-Carman model for railway ballast washout using the finite element method', JOURNAL OF THE ROYAL SOCIETY OF NEW ZEALAND, (2020)
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2020 |
Kalyanaraman B, Meylan MH, Bennetts LG, Lamichhane BP, 'A coupled fluid-elasticity model for the wave forcing of an ice-shelf', Journal of Fluids and Structures, 97 (2020) [C1]
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2019 |
Meylan MH, 'The time-dependent vibration of forced floating elastic plates by eigenfunction matching in two and three dimensions', Wave Motion, 88 21-33 (2019) [C1]
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2019 |
Flavia FF, Meylan MH, 'An extension of general identities for 3D water-wave diffraction with application to the Diffraction Transfer Matrix', APPLIED OCEAN RESEARCH, 84 279-290 (2019) [C1]
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2019 |
Kalyanaraman B, Bennetts LG, Lamichhane B, Meylan MH, 'On the shallow-water limit for modelling ocean-wave induced ice-shelf vibrations', Wave Motion, 90 1-16 (2019) [C1]
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2018 |
Meylan MH, Fitzgerald C, 'Computation of long lived resonant modes and the poles of the S-matrix in water wave scattering', Journal of Fluids and Structures, 76 153-165 (2018) [C1]
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2018 |
Das S, Sahoo T, Meylan MH, 'Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 474 (2018) [C1]
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2018 |
Meylan MH, Bennetts LG, Mosig JEM, Rogers WE, Doble MJ, Peter MA, 'Dispersion Relations, Power Laws, and Energy Loss for Waves in the Marginal Ice Zone', JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 123 3322-3335 (2018) [C1]
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2018 |
Thomson J, Ackley S, Girard-Ardhuin F, Ardhuin F, Babanin A, Boutin G, et al., 'Overview of the Arctic Sea State and Boundary Layer Physics Program', Journal of Geophysical Research: Oceans, 123 8674-8687 (2018) [C1]
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2018 |
Das S, Kar P, Sahoo T, Meylan MH, 'Flexural-gravity wave motion in the presence of shear current: Wave blocking and negative energy waves', Physics of Fluids, 30 (2018) [C1]
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2018 |
ul-Hassan M, Meylan MH, Naz M, 'Symmetry, validation, and scattering matrices for time domain scattering in waveguides', Applied Mathematical Modelling, 60 370-383 (2018) [C1]
© 2018 Elsevier Inc. We outline a method to compute the solution in the frequency¿domain for scattering in a waveguide by exploiting symmetry. The method is illustrated by conside... [more]
© 2018 Elsevier Inc. We outline a method to compute the solution in the frequency¿domain for scattering in a waveguide by exploiting symmetry. The method is illustrated by considering a simple scattering example, where soft hard boundary conditions are alternated. We show how the straightforward mode matching or eigenfunction matching solution can be easily converted to scattering and transmission matrices when symmetry is exploited. We then show how the solution for two scatterers can be found explicitly, using symmetry which allows validation of our subsequent solution by scattering matrices. We also give a series of identities which the scattering matrix must satisfy for further numerical validation. Using these frequency¿domain solutions we compute the time-domain scattering by incident Gaussian wave¿packets.
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2018 |
Meylan MH, Bennetts LG, 'Three-dimensional time-domain scattering of waves in the marginal ice zone.', Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 376 1-19 (2018) [C1]
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2018 |
Das S, Sahoo T, Meylan MH, 'Flexural-gravity wave dynamics in two-layer fluid: blocking and dead water analogue', JOURNAL OF FLUID MECHANICS, 854 121-145 (2018) [C1]
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2018 |
Skene DM, Bennetts LG, Wright M, Meylan MH, Maki KJ, 'Water wave overwash of a step', JOURNAL OF FLUID MECHANICS, 839 293-312 (2018) [C1]
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2018 |
Ilyas M, Meylan MH, Lamichhane B, Bennetts LG, 'Time-domain and modal response of ice shelves to wave forcing using the finite element method', Journal of Fluids and Structures, 80 113-131 (2018) [C1]
© 2018 Elsevier Ltd The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions a... [more]
© 2018 Elsevier Ltd The frequency-domain and time-domain response of a floating ice shelf to wave forcing are calculated using the finite element method. The boundary conditions at the front of the ice shelf, coupling it to the surrounding fluid, are written as a special non-local linear operator with forcing. This operator allows the computational domain to be restricted to the water cavity beneath the ice shelf. The ice shelf motion is expanded using the in vacuo elastic modes and the method of added mass and damping, commonly used in the hydroelasticity of ships, is employed. The ice shelf is assumed to be of constant thickness while the fluid domain is allowed to vary. The analysis is extended from the frequency domain to the time domain, and the resonant behaviour of the system is studied. It is shown that shelf submergence affects the resonant vibration frequency, whereas the corresponding mode shapes are insensitive to the submergence in constant depth. Further, the modes are shown to have a property of increasing node number with increasing frequency.
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2018 |
Dolatshah A, Nelli F, Bennetts LG, Alberello A, Meylan MH, Monty JP, Toffoli A, 'Letter: Hydroelastic interactions between water waves and floating freshwater ice', Physics of Fluids, 30 091702-1-091702-5 (2018) [C1]
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2018 |
Gregg AWT, Hendriks JN, Wensrich CM, Wills A, Tremsin AS, Luzin V, et al., 'Tomographic Reconstruction of Two-Dimensional Residual Strain Fields from Bragg-Edge Neutron Imaging', PHYSICAL REVIEW APPLIED, 10 (2018) [C1]
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2017 |
Meylan MH, Hassan MU, Bashir A, 'Extraordinary acoustic transmission, symmetry, blaschke products and resonators', Wave Motion, 74 105-123 (2017) [C1]
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2017 |
Lee CM, Thomson J, Cho KH, Cole S, Doble M, Freitag L, et al., 'An autonomous approach to observing the seasonal ice zone in the western arctic', Oceanography, 30 56-68 (2017)
© 2017 by The Oceanography Society. All rights reserved. The Marginal Ice Zone and Arctic Sea State programs examined the processes that govern evolution of the rapidly changing s... [more]
© 2017 by The Oceanography Society. All rights reserved. The Marginal Ice Zone and Arctic Sea State programs examined the processes that govern evolution of the rapidly changing seasonal ice zone in the Beaufort Sea. Autonomous platforms operating from the ice and within the water column collected measurements across the atmosphere-ice-ocean system and provided the persistence to sample continuously through the springtime retreat and autumn advance of sea ice. Autonomous platforms also allowed operational modalities that reduced the field programs¿ logistical requirements. Observations indicate that thermodynamics, especially the radiative balances of the ice-albedo feedback, govern the seasonal cycle of sea ice, with the role of surface waves confined to specific events. Continuous sampling from winter into autumn also reveals the imprint of winter ice conditions and fracturing on summertime floe size distribution. These programs demonstrate effective use of integrated systems of autonomous platforms for persistent, multiscale Arctic observing. Networks of autonomous systems are well suited to capturing the vast scales of variability inherent in the Arctic system.
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2017 |
Nelli F, Bennetts LG, Skene DM, Monty JP, Lee JH, Meylan MH, Toffoli A, 'Reflection and transmission of regular water waves by a thin, floating plate', WAVE MOTION, 70 209-221 (2017) [C1]
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2017 |
Meylan MH, Smith MJA, 'Perforated grating stacks in thin elastic plates', WAVE MOTION, 70 15-28 (2017) [C1]
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2017 |
Meylan MH, Bennetts LG, Peter MA, 'Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions', WAVE MOTION, 70 240-250 (2017) [C1]
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2017 |
Wolgamot HA, Meylan MH, Reid CD, 'Multiply heaving bodies in the time-domain: Symmetry and complex resonances', JOURNAL OF FLUIDS AND STRUCTURES, 69 232-251 (2017) [C1]
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2017 |
Gregg AWT, Hendriks JN, Wensrich CM, Meylan MH, 'Tomographic reconstruction of residual strain in axisymmetric systems from Bragg-edge neutron imaging', Mechanics Research Communications, 85 96-103 (2017) [C1]
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2017 |
Yiew LJ, Bennetts LG, Meylan MH, Thomas GA, French BJ, 'Wave-induced collisions of thin floating disks', Physics of Fluids, 29 (2017) [C1]
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2017 |
Meylan MH, Bennetts LG, Hosking RJ, Catt E, 'On the calculation of normal modes of a coupled ice-shelf/sub-ice-shelf cavity system', JOURNAL OF GLACIOLOGY, 63 751-754 (2017) [C1]
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2017 |
Hendriks JN, Gregg AWT, Wensrich CM, Tremsin AS, Shinohara T, Meylan M, et al., 'Bragg-edge elastic strain tomography for in situ systems from energy-resolved neutron transmission imaging', PHYSICAL REVIEW MATERIALS, 1 (2017) [C1]
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2016 |
Mahmood-ul-Hassan, Meylan MH, Bashir A, Sumbul M, 'Mode matching analysis for wave scattering in triple and pentafurcated spaced ducts', Mathematical Methods in the Applied Sciences, 39 3043-3057 (2016) [C1]
Copyright © 2015 John Wiley & Sons, Ltd. We present solutions to both trifurcated and pentafurcated spaced waveguides using the mode matching (or eigenfunction expansion) me... [more]
Copyright © 2015 John Wiley & Sons, Ltd. We present solutions to both trifurcated and pentafurcated spaced waveguides using the mode matching (or eigenfunction expansion) method. While the trifurcated problem with mean fluid flow has been solved previously using the Wiener¿Hopf technique, we solve this problem to validate and demonstrate our method. We then show how we can easily generalize the method to the pentafurcated problem that has not been solved previously. We observe that mode matching method is easier to derive and generalize than the Wiener¿Hopf technique. We also investigate the numerical solution in detail for various geometries to model practical exhaust systems. Copyright © 2015 John Wiley & Sons, Ltd.
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2016 |
Yiew LJ, Bennetts LG, Meylan MH, French BJ, Thomas GA, 'Hydrodynamic responses of a thin floating disk to regular waves', Ocean Modelling, 97 52-64 (2016) [C1]
© 2015 Elsevier Ltd. The surge, heave and pitch motions of two solitary, thin, floating disks, extracted from laboratory wave basin experiments are presented. The motions are forc... [more]
© 2015 Elsevier Ltd. The surge, heave and pitch motions of two solitary, thin, floating disks, extracted from laboratory wave basin experiments are presented. The motions are forced by regular incident waves, for a range of wave amplitudes and frequencies. One disk has a barrier attached to its edge to stop the incident waves from washing across its upper surface. It is shown that the motions of the disk without the barrier are smaller than those of the disk with the barrier. Moreover, it is shown that the amplitudes of the motions, relative to the incident amplitude, decrease with increasing incident wave amplitude for the disk without a barrier and for short incident wavelengths. Two theoretical models of the disk motions are considered. One is based on slope-sliding theory and the other on combined linear potential-flow and thin-plate theories. The models are shown to have almost the same form in the long-wavelength regime. The potential-flow/thin-plate model is shown to capture the experimentally measured disk motions with reasonable accuracy.
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2016 |
Thomson J, Fan Y, Stammerjohn S, Stopa J, Rogers WE, Girard-Ardhuin F, et al., 'Emerging trends in the sea state of the Beaufort and Chukchi seas', Ocean Modelling, 105 1-12 (2016) [C1]
© 2016 The Authors The sea state of the Beaufort and Chukchi seas is controlled by the wind forcing and the amount of ice-free water available to generate surface waves. Clear tre... [more]
© 2016 The Authors The sea state of the Beaufort and Chukchi seas is controlled by the wind forcing and the amount of ice-free water available to generate surface waves. Clear trends in the annual duration of the open water season and in the extent of the seasonal sea ice minimum suggest that the sea state should be increasing, independent of changes in the wind forcing. Wave model hindcasts from four selected years spanning recent conditions are consistent with this expectation. In particular, larger waves are more common in years with less summer sea ice and/or a longer open water season, and peak wave periods are generally longer. The increase in wave energy may affect both the coastal zones and the remaining summer ice pack, as well as delay the autumn ice-edge advance. However, trends in the amount of wave energy impinging on the ice-edge are inconclusive, and the associated processes, especially in the autumn period of new ice formation, have yet to be well-described by in situ observations. There is an implicit trend and evidence for increasing wave energy along the coast of northern Alaska, and this coastal signal is corroborated by satellite altimeter estimates of wave energy.
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2016 |
Wensrich CM, Hendriks JN, Meylan MH, 'Bragg edge neutron transmission strain tomography in granular systems', Strain, 52 80-87 (2016) [C1]
© 2016 Wiley Publishing Ltd. The advent of pixelated detectors for time-of-flight neutron transmission experiments has raised significant interest in terms of the potential for to... [more]
© 2016 Wiley Publishing Ltd. The advent of pixelated detectors for time-of-flight neutron transmission experiments has raised significant interest in terms of the potential for tomographic reconstructions of triaxial strain distributions. A recent publication by Lionheart and Withers [WRB Lionheart and PJ Withers, "Diffraction tomography of strain", Inverse Problems, v31:045005, 2015] has demonstrated that reconstruction is not possible in the general sense; however, various special cases may exist. In this paper, we outline a process by which it is possible to tomographically reconstruct average triaxial elastic strains within individual particles in a granular assembly from a series of Bragg edge strain measurements. This algorithm is tested on simulated data in two and three dimensions and is shown to be capable of rejecting Gaussian measurement noise. Sources of systematic error that may present problems in an experimental implementation are briefly discussed.
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2016 |
Wensrich CM, Hendriks JN, Gregg A, Meylan MH, Luzin V, Tremsin AS, 'Bragg-edge neutron transmission strain tomography for in situ loadings', Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms, 383 52-58 (2016) [C1]
© 2016 An approach for tomographic reconstruction of three-dimensional strain distributions from Bragg-edge neutron transmission strain images is outlined and investigated. This a... [more]
© 2016 An approach for tomographic reconstruction of three-dimensional strain distributions from Bragg-edge neutron transmission strain images is outlined and investigated. This algorithm is based on the link between Bragg-edge strain measurements and the Longitudinal Ray Transform, which has been shown to be sensitive only to boundary displacement. By exploiting this observation we provide a method for reconstructing boundary displacement from sets of Bragg-edge strain images. In the case where these displacements are strictly the result of externally applied tractions, corresponding internal strain fields can then be found through traditional linear-static finite element methods. This approach is tested on synthetic data in two-dimensions, where the rate of convergence in the presence of measurement noise and beam attenuation is examined.
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2015 |
Toffoli A, Bennetts LG, Meylan MH, Cavaliere C, Alberello A, Elsnab J, Monty JP, 'Sea ice floes dissipate the energy of steep ocean waves', Geophysical Research Letters, 42 8547-8554 (2015) [C1]
© 2015. American Geophysical Union. All Rights Reserved. A laboratory experimental model of an incident ocean wave interacting with an ice floe is used to validate the canonical, ... [more]
© 2015. American Geophysical Union. All Rights Reserved. A laboratory experimental model of an incident ocean wave interacting with an ice floe is used to validate the canonical, solitary floe version of contemporary theoretical models of wave attenuation in the ice-covered ocean. Amplitudes of waves transmitted by the floe are presented as functions of incident wave steepness for different incident wavelengths. The model is shown to predict the transmitted amplitudes accurately for low incident steepness but to overpredict the amplitudes by an increasing amount, as the incident wave becomes steeper. The proportion of incident wave energy dissipated by the floe in the experiments is shown to correlate with the agreement between the theoretical model and the experimental data, thus implying that wave-floe interactions increasingly dissipate wave energy as the incident wave becomes steeper. Key Points Wave scattering theory alone is not sufficient to predict attenuation of waves Wave energy is not conserved during wave-ice interactions Turbulent bores at the floes front and rear edges induce dissipation
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2015 |
Bennetts LG, Alberello A, Meylan MH, Cavaliere C, Babanin AV, Toffoli A, 'An idealised experimental model of ocean surface wave transmission by an ice floe', Ocean Modelling, 96 85-92 (2015) [C1]
© 2015 Elsevier Ltd. An experimental model of transmission of ocean waves by an ice floe is presented. Thin plastic plates with different material properties and thicknesses are u... [more]
© 2015 Elsevier Ltd. An experimental model of transmission of ocean waves by an ice floe is presented. Thin plastic plates with different material properties and thicknesses are used to model the floe. Regular incident waves with different periods and steepnesses are used, ranging from gently-sloping to storm-like conditions. A wave gauge is used to measure the water surface elevation in the lee of the floe. The depth of wave overwash on the floe is measured by a gauge in the centre of the floe's upper surface. Results show transmitted waves are regular for gently-sloping incident waves but irregular for storm-like incident waves. The proportion of the incident wave transmitted is shown to decrease as incident wave steepness increases, and to be at its minimum for an incident wavelength equal to the floe length. Further, a trend is noted for transmission to decrease as the mean wave height in the overwash region increases.
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2015 |
Meylan MH, Bennetts LG, Cavaliere C, Alberello A, Toffoli A, 'Experimental and theoretical models of wave-induced flexure of a sea ice floe', Physics of Fluids, 27 (2015) [C1]
© 2015 AIP Publishing LLC. An experimental model is used to validate a theoretical model of a sea ice floe's flexural motion, induced by ocean waves. A thin plastic plate mod... [more]
© 2015 AIP Publishing LLC. An experimental model is used to validate a theoretical model of a sea ice floe's flexural motion, induced by ocean waves. A thin plastic plate models the ice floe in the experiments. Rigid and compliant plastics and two different thicknesses are tested. Regular incident waves are used, with wavelengths less than, equal to, and greater than the floe length, and steepnesses ranging from gently sloping to storm-like. Results show the models agree well, despite the overwash phenomenon occurring in the experiments, which the theoretical model neglects.
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2015 |
Meylan MH, Yiew LJ, Bennetts LG, French BJ, Thomas GA, 'Surge motion of an ice floe in waves: Comparison of a theoretical and an experimental model', Annals of Glaciology, 56 155-159 (2015) [C1]
A theoretical model and an experimental model of surge motions of an ice floe due to regular waves are presented. The theoretical model is a modified version of Morrison's eq... [more]
A theoretical model and an experimental model of surge motions of an ice floe due to regular waves are presented. The theoretical model is a modified version of Morrison's equation, valid for small floating bodies. The experimental model is implemented in a wave basin at a scale 1:100, using a thin plastic disc to model the floe. The processed experimental data display a regime change in surge amplitude when the incident wavelength is approximately twice the floe diameter. It is shown that the theoretical model is accurate in the high-wavelength regime, but highly inaccurate in the lowwavelength regime.
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2015 |
Skene DM, Bennetts LG, Meylan MH, Toffoli A, 'Modelling water wave overwash of a thin floating plate', Journal of Fluid Mechanics, 777 (2015) [C1]
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2015 |
Doble MJ, De Carolis G, Meylan MH, Bidlot J-R, Wadhams P, 'Relating wave attenuation to pancake ice thickness, using field measurements and model results', Geophysical Research Letters, (2015) [C1]
Wave attenuation coefficients (a, m<sup>-1</sup>) were calculated from in situ data transmitted by custom wave buoys deployed into the advancing pancake ice region of ... [more]
Wave attenuation coefficients (a, m<sup>-1</sup>) were calculated from in situ data transmitted by custom wave buoys deployed into the advancing pancake ice region of the Weddell Sea. Data cover a 12day period as the buoy array was first compressed and then dilated under the influence of a passing low-pressure system. Attenuation was found to vary over more than 2 orders of magnitude and to be far higher than that observed in broken-floe marginal ice zones. A clear linear relation between a and ice thickness was demonstrated, using ice thickness from a novel dynamic/thermodynamic model. A simple expression for a in terms of wave period and ice thickness was derived, for application in research and operational models. The variation of a was further investigated with a two-layer viscous model, and a linear relation was found between eddy viscosity in the sub-ice boundary layer and ice thickness.
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2014 |
Smith MJA, Meylan MH, McPhedran RC, Poulton CG, 'A short remark on the band structure of free-edge platonic crystals', Waves in Random and Complex Media, in press 1-4 (2014)
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2014 |
Meylan MH, Fitzgerald CJ, 'The singularity expansion method and near-trapping of linear water waves', JOURNAL OF FLUID MECHANICS, 755 (2014) [C1]
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2014 |
Kohout AL, Williams MJM, Dean SM, Meylan MH, 'Storm-induced sea-ice breakup and the implications for ice extent', NATURE, 509 604-+ (2014) [C1]
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2014 |
Smith MJA, Meylan MH, McPhedran RC, 'Density of states for platonic crystals and clusters', SIAM Journal on Applied Mathematics, in press 1-4 (2014) |
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2014 |
Smith MJA, Meylan MH, Mcphedran RC, 'Density of states for platonic crystals and clusters', SIAM Journal on Applied Mathematics, 74 1551-1570 (2014) [C1]
© 2014 Society for Industrial and Applied Mathematics The density of states, which measures the density of the spectrum, is evaluated for a platonic crystal (periodically structur... [more]
© 2014 Society for Industrial and Applied Mathematics The density of states, which measures the density of the spectrum, is evaluated for a platonic crystal (periodically structured elastic plate) using the Green's function approach. Results are presented not only for the standard density of states, but also for the mutual, local, and spectral density of states. These other state functions provide a pathway to the standard density of states and characterize the radiative and other properties of the crystal. This is the first known examination of the density of states for a platonic crystal and extends the existing Green's function approach for photonic crystals to thin, elastic plates. As a motivating example the theory is applied to the problem of a square array of pins embedded in a thin plate. The density of states functions for an empty lattice (a uniform plate) are also presented in order to give a clear illustration of the steps in the derivation. Careful numerical calculations are given which reveal the complex behavior of the crystal, including intervals of suppressed density of states. These results are compared to calculations for a finite crystal with an interior source, and the behaviors of the finite and infinite systems are shown to be connected through the density of states.
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2014 |
Meylan MH, 'The time-dependent motion of a floating elastic or rigid body in two dimensions', APPLIED OCEAN RESEARCH, 46 54-61 (2014) [C1]
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2014 |
Smith MJA, McPhedran RC, Meylan MH, 'Double Dirac cones at k = 0 in pinned platonic crystals', WAVES IN RANDOM AND COMPLEX MEDIA, 24 35-54 (2014)
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2014 |
Smith MJA, McPhedran RC, Meylan MH, 'Double dirac cones at k = 0 in pinned platonic crystals', Waves in Random and Complex Media, 24 35-54 (2014) [C1]
In this paper, we compute the band structure for a pinned elastic plate which is constrained at the points of a hexagonal lattice. Existing work on platonic crystals has been rest... [more]
In this paper, we compute the band structure for a pinned elastic plate which is constrained at the points of a hexagonal lattice. Existing work on platonic crystals has been restricted to square and rectangular array geometries, and an examination of other Bravais lattice geometries for platonic crystals has yet to be made. Such hexagonal arrays have been shown to support Dirac cone dispersion at the center of the Brillouin zone for phononic crystals, and we demonstrate the existence of double Dirac cones for the first time in platonic crystals here. In the vicinity of these Dirac points, there are several complex dispersion phenomena, including a multiple interference phenomenon between families of waves which correspond to free space transport and those which interact with the pins. An examination of the reflectance and transmittance for large finite gratings arranged in a hexagonal fashion is also made, where these effects can be visualized using plane waves. This is achieved via a recurrence relation approach for the reflection and transmission matrices, which is computationally stable compared to transfer matrix approaches.© 2013 Taylor and Francis.
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2014 |
Smith MJA, Meylan MH, McPhedran RC, Poulton CG, 'A short remark on the band structure of free-edge platonic crystals', Waves in Random and Complex Media, 24 421-430 (2014) [C1]
© 2014 © 2014 Taylor & Francis. A corrected version of the multipole solution for a thin plate perforated in a doubly periodic fashion is presented. It is assumed that free-... [more]
© 2014 © 2014 Taylor & Francis. A corrected version of the multipole solution for a thin plate perforated in a doubly periodic fashion is presented. It is assumed that free-edge boundary conditions are imposed at the edge of each cylindrical inclusion. The solution procedure given here exploits a well-known property of Bessel functions to obtain the solution directly, in contrast to the existing incorrect derivation. A series of band diagrams and an updated table of values are given for the resulting system (correcting known publications on the topic), which shows a spectral band at low frequency for the free-edge problem. This is in contrast to clamped-edge boundary conditions for the same biharmonic plate problem, which features a low-frequency band gap. The numerical solution procedure outlined here is also simplified relative to earlier publications, and exploits the spectral properties of complex-valued matrices to determine the band structure of the structured plate.
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2014 |
Meylan MH, Bennetts LG, Kohout AL, 'In-situ measurements and analysis of ocean waves in the Antarctic marginal ice zone', Geophysical Research Letters, 41 5046-5051 (2014) [C1]
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2013 |
Smith MJA, Meylan MH, McPhedran RC, 'Flexural wave filtering and platonic polarisers in thin elastic plates', Quarterly Journal of Mechanics and Applied Mathematics, 66 437-463 (2013) [C1]
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2012 |
Williams T, Meylan MH, 'The Wiener-Hopf and Residue Calculus solutions for a submerged semi-infinite elastic plate', Journal of Engineering Mathematics, 75 81-106 (2012) [C1]
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2012 |
Meylan MH, Tomic M, 'Complex resonances and the approximation of wave forcing for floating elastic bodies', Applied Ocean Research, 36 51-59 (2012) [C1]
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2012 |
Smith MJA, McPhedran RC, Poulton CG, Meylan MH, 'Negative refraction and dispersion phenomena in platonic clusters', Waves in Random and Complex Media, 22 435-458 (2012) [C1]
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2011 |
Fitzgerald C, Meylan MH, 'Generalized eigenfunction method for floating bodies', Journal of Fluid Mechanics, 677 544-554 (2011) [C1]
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2011 |
Smith MJA, Meylan MH, McPhedran RC, 'Scattering by cavities of arbitrary shape in an infinite plate and associated vibration problems', Journal of Sound and Vibration, 330 4029-4046 (2011) [C1]
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2011 |
Smith MJA, Meylan MH, 'Wave Scattering by an Ice Floe of Variable Thickness', Cold Regions Science and Technology, 69 24-30 (2011) [C1]
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2011 |
Kohout AL, Meylan MH, Plew DR, 'Wave attenuation in a marginal ice zone due to the bottom roughness of ice floes', Annals of Glaciology, 52 3509-3529 (2011) [C1]
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2011 |
Meylan MH, Ross CM, 'The Long and Short of Elastic Wave Interaction with Platonic Clusters', Proceedings of the Royal Society of London: Mathematical Physical and Engineering Sciences, 467 118-122 (2011) [C1] |
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2011 |
Meylan MH, McPhedran RC, 'Fast and slow interaction of elastic waves with platonic clusters', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 3509-3529 (2011) [C1]
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2010 |
Emeljanow VE, 'Editorial', Popular Entertainment Studies, 1 1-5 (2010) [C3] |
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2010 |
Peter MA, Meylan MH, 'A general spectral approach to the time-domain evolution of linear water waves impacting on a vertical elastic plate', SIAM Journal on Applied Mathematics, 70 2308-2328 (2010) [C1]
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2010 |
Bennetts LG, Peter MA, Squire VA, Meylan MH, 'A three-dimensional model of wave attenuation in the marginal ice zone', Journal of Geophysical Research, 115 (2010) [C1]
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2009 |
Bonnefoy F, Meylan MH, Ferrant P, 'Nonlinear higher-order spectral solution for a two-dimensional moving load on ice', JOURNAL OF FLUID MECHANICS, 621 215-242 (2009) [C1]
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2009 |
Meylan MH, Taylor RE, 'Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping', JOURNAL OF FLUID MECHANICS, 631 103-125 (2009) [C1]
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2009 |
Meylan MH, 'Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion', JOURNAL OF FLUID MECHANICS, 632 447-455 (2009) [C1]
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2009 |
Mahmood-Ul-Hassan, Meylan MH, Peter MA, 'Water-wave scattering by submerged elastic plates', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 62 321-344 (2009) [C1]
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2009 |
Peter MA, Meylan MH, 'WATER-WAVE SCATTERING BY VAST FIELDS OF BODIES', SIAM JOURNAL ON APPLIED MATHEMATICS, 70 1567-1586 (2009) [C1]
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2009 |
Meylan MH, Sturova IV, 'Time-dependent motion of a two-dimensional floating elastic plate', JOURNAL OF FLUIDS AND STRUCTURES, 25 445-460 (2009) [C1]
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2009 |
Kohout AL, Meylan MH, 'Wave scattering by multiple floating elastic plates with spring or hinged boundary conditions', MARINE STRUCTURES, 22 712-729 (2009) [C1]
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2008 |
Kohout AL, Meylan MH, 'An elastic plate model for wave attenuation and ice floe breaking in the marginal ice zone', JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 113 (2008) [C1]
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2007 |
Kohout AL, Meylan MH, Sakai S, Hanai K, Leman P, Brossard D, 'Linear water wave propagation through multiple floating elastic plates of variable properties', JOURNAL OF FLUIDS AND STRUCTURES, 23 649-663 (2007)
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2007 |
Wang CD, Meylan MH, Porter R, 'The linear-wave response of a periodic array of floating elastic plates', JOURNAL OF ENGINEERING MATHEMATICS, 57 23-40 (2007)
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2007 |
Peter MA, Meylan MH, 'Water-wave scattering by a semi-infinite periodic array of arbitrary bodies', JOURNAL OF FLUID MECHANICS, 575 473-494 (2007)
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2007 |
Hazard C, Meylan MH, 'Spectral theory for an elastic thin plate floating on water of finite depth', SIAM JOURNAL ON APPLIED MATHEMATICS, 68 629-647 (2007)
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2006 |
Peter MA, Meylan MH, Linton CM, 'Water-wave scattering by a periodic array of arbitrary bodies', JOURNAL OF FLUID MECHANICS, 548 237-256 (2006)
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2006 |
Meylan MH, 'A semi-analytic solution to the time-dependent half-space linear Boltzmann equation', TRANSPORT THEORY AND STATISTICAL PHYSICS, 35 187-227 (2006)
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2006 |
Grotmaack R, Meylan MH, 'Wave forcing of small floating bodies', JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING-ASCE, 132 192-198 (2006)
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2006 |
Meylan MH, Masson D, 'A linear Boltzmann equation to model wave scattering in the marginal ice zone', OCEAN MODELLING, 11 417-427 (2006)
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2006 |
Kohout AL, Meylan MH, 'A Model for Wave Scattering in the Marginal Ice Zone based on a Two-Dimensional Floating Elastic Plate Solution', Annals of Glaciology, 44 101-107 (2006) |
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2004 |
Peter MA, Meylan MH, 'Infinite-depth interaction theory for arbitrary floating bodies applied to wave forcing of ice floes', JOURNAL OF FLUID MECHANICS, 500 145-167 (2004)
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2004 |
Peter MA, Meylan MH, 'The eigenfunction expansion of the infinite depth free surface Green function in three dimensions', WAVE MOTION, 40 1-11 (2004)
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2004 |
Wang CD, Meylan MH, 'A higher-order-coupled boundary element and finite element method for the wave forcing of a floating elastic plate', Journal of Fluids and Structures, 19 557-572 (2004)
We present a higher-order method to calculate the motion of a floating, shallow draft, elastic plate of arbitrary geometry subject to linear wave forcing at a single frequency. Th... [more]
We present a higher-order method to calculate the motion of a floating, shallow draft, elastic plate of arbitrary geometry subject to linear wave forcing at a single frequency. The solution is found by coupling the boundary element and finite element methods. We use the same nodes, basis functions, and maintain the same order in both methods. Two equations are derived that relate the displacement of the plate and the velocity potential under the plate. The first equation is derived from the elastic plate equation. The discrete version of this equation is very similar to the standard finite element method elastic plate equation except that the potential of the water is included in a consistent manner. The second equation is based on the boundary integral equation which relates the displacement of the plate and the potential using the free-surface Green function. The discrete version of this equation, which is consistent with the order of the basis functions, includes a Green matrix that is analogous to the mass and stiffness matrices of the classical finite element method for an elastic plate. The two equations are solved simultaneously to give the potential and displacement. Results are presented showing that the method agrees with previous results and its performance is analysed. © 2004 Elsevier Ltd. All rights reserved.
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2004 |
Peter MA, Meylan MH, Chung H, 'Wave scattering by a circular elastic plate in water of finite depth: a closed form solution', International Journal of Offshore and Polar Engineering, 14 81-85 (2004) |
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2003 |
Meylan MH, Gross L, 'A parallel algorithm to find the zeros of a complex analytic function.', Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 44 236-245 (2003) |
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2002 |
Meylan MH, 'Spectral solution of time-dependent shallow water hydroelasticity', JOURNAL OF FLUID MECHANICS, 454 387-402 (2002)
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2002 |
Wang CD, Meylan MH, 'The linear wave response of a floating thin plate on water of variable depth', APPLIED OCEAN RESEARCH, 24 163-174 (2002)
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2002 |
Meylan MH, 'Wave response of an ice floe of arbitrary geometry', Journal of Geophysical Research: Oceans, 107 (2002)
A fully three-dimensional model for the motion and bending of a solitary ice floe due to wave forcing is presented. This allows the scattering and wave-induced force for a realist... [more]
A fully three-dimensional model for the motion and bending of a solitary ice floe due to wave forcing is presented. This allows the scattering and wave-induced force for a realistic ice floe to be calculated. These are required to model wave scattering and wave-induced ice drift in the marginal ice zone. The ice floe is modeled as a thin plate, and its motion is expanded in the thin plate modes of vibration. The modes are substituted into the integral equation for the water. This gives a linear system of equations for the coefficients used to expand the ice floe motion. Solutions are presented for the ice floe displacement, the scattered energy, and the time-averaged force for a range of ice floe geometries and wave periods. It is found that ice floe stiffness is the most important factor in determining ice floe motion, scattering, and force. However, above a critical value of stiffness the floe geometry also influences the scattering and force.
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2001 |
Meylan MH, 'A variational equation for the wave forcing of floating thin plates', APPLIED OCEAN RESEARCH, 23 195-206 (2001)
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1997 |
Meylan MH, Squire VA, Fox C, 'Toward realism in modeling ocean wave behavior in marginal ice zones', JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 102 22981-22991 (1997)
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1997 |
Meylan MH, 'The forced vibration of a thin plate floating on an infinite liquid', JOURNAL OF SOUND AND VIBRATION, 205 581-591 (1997)
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1996 |
Meylan MH, Squire VA, 'Response of a circular ice floe to ocean waves', JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 101 8869-8884 (1996)
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1995 |
Meylan MH, 'A Flexible Vertical Sheet in Waves', International Journal of Offshore and Polar Engineering, 5 105-110 (1995)
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1995 |
Meylan MH, 'A Flexible Vertical Sheet in Waves', International Journal of Offshore and Polar Engineering, 5 105-110 (1995) |
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1995 |
Meylan MH, Squire VA, 'Response of a thick flexible raft to ocean waves', International Journal of Offshore and Polar Engineering, 5 198-203 (1995)
The solution to the problem of a thick flexible raft subjected to a train of incoming ocean surface waves is presented. It is found that the inclusion of transverse shear and rota... [more]
The solution to the problem of a thick flexible raft subjected to a train of incoming ocean surface waves is presented. It is found that the inclusion of transverse shear and rotary inertia has significant effects on the reflection and transmission coefficients of the body when its length-to-thickness aspect ratio is small and, predictably, that at higher aspect ratios a thin plate analysis is perfectly adequate. A major contrast between the thin and thick plate models is that the asymptotic limit of the raft response in the case of infinite stiffness is different; this leads to altered behaviour when the aspect ratio is small.
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1994 |
SQUIRE VA, ROBINSON WH, MEYLAN M, HASKELL TG, 'OBSERVATIONS OF FLEXURAL WAVES ON THE EREBUS-ICE-TONGUE, MCMURDO-SOUND, ANTARCTICA, AND NEARBY SEA-ICE', JOURNAL OF GLACIOLOGY, 40 377-385 (1994)
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1994 |
MEYLAN M, SQUIRE VA, 'THE RESPONSE OF ICE FLOES TO OCEAN WAVES', JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 99 891-900 (1994)
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1993 |
MEYLAN M, SQUIRE VA, 'FINITE-FLOE WAVE REFLECTION AND TRANSMISSION COEFFICIENTS FROM A SEMIINFINITE MODEL', JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 98 12537-12542 (1993)
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1993 |
Meylan MH, Squire VA, 'A Model for the Motion and Bending of an Ice Floe in Ocean Waves', International Journal of Offshore and Polar Engineering, 3 322-323 (1993)
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1991 |
BUCKLEY RG, POOKE DM, TALLON JL, PRESLAND MR, FLOWER NE, STAINES MP, et al., 'CA-SUBSTITUTION AND LA-SUBSTITUTION IN YBA2CU3O7-DELTA, Y2BA4CU7O15-DELTA AND YBA2CU4O8', PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 174 383-393 (1991)
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Thomson J, Ho eková L, Meylan MH, Kohout AL, Kumar N, 'Spurious rollover of wave attenuation rates in sea ice caused by noise in field measurements', Journal of Geophysical Research: Oceans,
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Thomson J, Hosekova L, Meylan MH, kohout AL, Kumar N, 'Spurious rollover of wave attenuation rates in sea ice caused by noise in field measurements
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Thomson J, Hosekova L, Meylan MH, kohout AL, Kumar N, 'Spurious rollover of wave attenuation rates in sea ice caused by noise in field measurements
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Ilyas M, Lamichhane BP, Meylan MH, 'A gradient recovery method based on an oblique projection and boundary modification', ANZIAM Journal, 58 34-34
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Meylan MH, 'Time-Dependent Motion of a Floating Circular Elastic Plate', Fluids, 6 29-29
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