2020 
Zheng S, Meylan MH, Fan L, Greaves D, Iglesias G, 'Wave scattering by a floating porous elastic plate of arbitrary shape: A semianalytical study', Journal of Fluids and Structures, 92 (2020)
© 2019 Elsevier Ltd In this paper, a semianalytical model based on linear potential flow theory and an eigenfunction expansion method is developed to study wave scattering by a p... [more]
© 2019 Elsevier Ltd In this paper, a semianalytical model based on linear potential flow theory and an eigenfunction expansion method is developed to study wave scattering by a porous elastic plate with arbitrary shape floating in water of finite depth. The water domain is divided into the interior and exterior regions, corresponding to the domain beneath the plate and the rest extending towards infinite distance horizontally, respectively. The unknown coefficients in the potential expressions are determined by satisfying the continuity conditions for pressure and velocity at the interface of the two regions, together with the conditions for the motion/force at the edge of the plate, where the Fourier series expansion method is employed to deal with the terms associated with the radius function. A plate with three shapes ¿ circular, cosine and elliptical ¿ and three edge conditions are considered. We find that the largest deflection of the plate with a simply supported edge and a clamped edge is more sensitive to the change in porosity when the porosity is small. The power dissipated by an elliptical plate with its major axis perpendicular to the incident wave direction is the largest among the case studies for the majority of the porosity values tested.



2019 
Meylan MH, 'The timedependent vibration of forced floating elastic plates by eigenfunction matching in two and three dimensions', Wave Motion, 88 2133 (2019) [C1]



2019 
Flavia FF, Meylan MH, 'An extension of general identities for 3D waterwave diffraction with application to the Diffraction Transfer Matrix', APPLIED OCEAN RESEARCH, 84 279290 (2019) [C1]



2019 
Kalyanaraman B, Bennetts LG, Lamichhane B, Meylan MH, 'On the shallowwater limit for modelling oceanwave induced iceshelf vibrations', Wave Motion, 90 116 (2019) [C1]



2018 
Meylan MH, Fitzgerald C, 'Computation of long lived resonant modes and the poles of the Smatrix in water wave scattering', Journal of Fluids and Structures, 76 153165 (2018) [C1]



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 AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 474 (2018) [C1]



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 RESEARCHOCEANS, 123 33223335 (2018) [C1]



2018 
Thomson J, Ackley S, GirardArdhuin 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 86748687 (2018) [C1]



2018 
Das S, Kar P, Sahoo T, Meylan MH, 'Flexuralgravity wave motion in the presence of shear current: Wave blocking and negative energy waves', Physics of Fluids, 30 (2018) [C1]



2018 
ulHassan M, Meylan MH, Naz M, 'Symmetry, validation, and scattering matrices for time domain scattering in waveguides', Applied Mathematical Modelling, 60 370383 (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 timedomain scattering by incident Gaussian wave¿packets.



2018 
Meylan MH, Bennetts LG, 'Threedimensional timedomain scattering of waves in the marginal ice zone.', Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 376 119 (2018) [C1]



2018 
Das S, Sahoo T, Meylan MH, 'Flexuralgravity wave dynamics in twolayer fluid: blocking and dead water analogue', JOURNAL OF FLUID MECHANICS, 854 121145 (2018) [C1]



2018 
Skene DM, Bennetts LG, Wright M, Meylan MH, Maki KJ, 'Water wave overwash of a step', JOURNAL OF FLUID MECHANICS, 839 293312 (2018) [C1]



2018 
Ilyas M, Meylan MH, Lamichhane B, Bennetts LG, 'Timedomain and modal response of ice shelves to wave forcing using the finite element method', Journal of Fluids and Structures, 80 113131 (2018) [C1]
© 2018 Elsevier Ltd The frequencydomain and timedomain 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 frequencydomain and timedomain 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 nonlocal 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.



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 09170210917025 (2018) [C1]



2018 
Gregg AWT, Hendriks JN, Wensrich CM, Wills A, Tremsin AS, Luzin V, et al., 'Tomographic Reconstruction of TwoDimensional Residual Strain Fields from BraggEdge Neutron Imaging', PHYSICAL REVIEW APPLIED, 10 (2018) [C1]



2017 
Meylan MH, Hassan MU, Bashir A, 'Extraordinary acoustic transmission, symmetry, blaschke products and resonators', Wave Motion, 74 105123 (2017) [C1]



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 5668 (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 atmosphereiceocean 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 icealbedo 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.



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 209221 (2017) [C1]



2017 
Meylan MH, Smith MJA, 'Perforated grating stacks in thin elastic plates', WAVE MOTION, 70 1528 (2017) [C1]



2017 
Meylan MH, Bennetts LG, Peter MA, 'Waterwave scattering and energy dissipation by a floating porous elastic plate in three dimensions', WAVE MOTION, 70 240250 (2017) [C1]



2017 
Wolgamot HA, Meylan MH, Reid CD, 'Multiply heaving bodies in the timedomain: Symmetry and complex resonances', JOURNAL OF FLUIDS AND STRUCTURES, 69 232251 (2017) [C1]



2017 
Gregg AWT, Hendriks JN, Wensrich CM, Meylan MH, 'Tomographic reconstruction of residual strain in axisymmetric systems from Braggedge neutron imaging', Mechanics Research Communications, 85 96103 (2017) [C1]



2017 
Yiew LJ, Bennetts LG, Meylan MH, Thomas GA, French BJ, 'Waveinduced collisions of thin floating disks', Physics of Fluids, 29 (2017) [C1]



2017 
Meylan MH, Bennetts LG, Hosking RJ, Catt E, 'On the calculation of normal modes of a coupled iceshelf/subiceshelf cavity system', JOURNAL OF GLACIOLOGY, 63 751754 (2017) [C1]



2017 
Hendriks JN, Gregg AWT, Wensrich CM, Tremsin AS, Shinohara T, Meylan M, et al., 'Braggedge elastic strain tomography for in situ systems from energyresolved neutron transmission imaging', PHYSICAL REVIEW MATERIALS, 1 (2017) [C1]



2016 
MahmoodulHassan, 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 30433057 (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.



2016 
Yiew LJ, Bennetts LG, Meylan MH, French BJ, Thomas GA, 'Hydrodynamic responses of a thin floating disk to regular waves', Ocean Modelling, 97 5264 (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 slopesliding theory and the other on combined linear potentialflow and thinplate theories. The models are shown to have almost the same form in the longwavelength regime. The potentialflow/thinplate model is shown to capture the experimentally measured disk motions with reasonable accuracy.



2016 
Thomson J, Fan Y, Stammerjohn S, Stopa J, Rogers WE, GirardArdhuin F, et al., 'Emerging trends in the sea state of the Beaufort and Chukchi seas', Ocean Modelling, 105 112 (2016) [C1]
© 2016 The Authors The sea state of the Beaufort and Chukchi seas is controlled by the wind forcing and the amount of icefree 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 icefree 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 iceedge advance. However, trends in the amount of wave energy impinging on the iceedge are inconclusive, and the associated processes, especially in the autumn period of new ice formation, have yet to be welldescribed 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.



2016 
Wensrich CM, Hendriks JN, Meylan MH, 'Bragg edge neutron transmission strain tomography in granular systems', Strain, 52 8087 (2016) [C1]
© 2016 Wiley Publishing Ltd. The advent of pixelated detectors for timeofflight 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 timeofflight 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.



2016 
Wensrich CM, Hendriks JN, Gregg A, Meylan MH, Luzin V, Tremsin AS, 'Braggedge neutron transmission strain tomography for in situ loadings', Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms, 383 5258 (2016) [C1]
© 2016 An approach for tomographic reconstruction of threedimensional strain distributions from Braggedge neutron transmission strain images is outlined and investigated. This a... [more]
© 2016 An approach for tomographic reconstruction of threedimensional strain distributions from Braggedge neutron transmission strain images is outlined and investigated. This algorithm is based on the link between Braggedge 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 Braggedge 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 linearstatic finite element methods. This approach is tested on synthetic data in twodimensions, where the rate of convergence in the presence of measurement noise and beam attenuation is examined.



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 85478554 (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 icecovered 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 wavefloe 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 waveice interactions Turbulent bores at the floes front and rear edges induce dissipation



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 8592 (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 gentlysloping to stormlike 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 gentlysloping incident waves but irregular for stormlike 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.



2015 
Meylan MH, Bennetts LG, Cavaliere C, Alberello A, Toffoli A, 'Experimental and theoretical models of waveinduced 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 stormlike. Results show the models agree well, despite the overwash phenomenon occurring in the experiments, which the theoretical model neglects.



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 155159 (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 highwavelength regime, but highly inaccurate in the lowwavelength regime.



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]



2015 
Doble MJ, De Carolis G, Meylan MH, Bidlot JR, 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 lowpressure system. Attenuation was found to vary over more than 2 orders of magnitude and to be far higher than that observed in brokenfloe 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 twolayer viscous model, and a linear relation was found between eddy viscosity in the subice boundary layer and ice thickness.



2014 
Smith MJA, Meylan MH, McPhedran RC, Poulton CG, 'A short remark on the band structure of freeedge platonic crystals', Waves in Random and Complex Media, in press 14 (2014)



2014 
Meylan MH, Fitzgerald CJ, 'The singularity expansion method and neartrapping of linear water waves', JOURNAL OF FLUID MECHANICS, 755 (2014) [C1]



2014 
Kohout AL, Williams MJM, Dean SM, Meylan MH, 'Storminduced seaice breakup and the implications for ice extent', NATURE, 509 604+ (2014) [C1]



2014 
Smith MJA, Meylan MH, McPhedran RC, 'Density of states for platonic crystals and clusters', SIAM Journal on Applied Mathematics, in press 14 (2014) 


2014 
Smith MJA, Meylan MH, Mcphedran RC, 'Density of states for platonic crystals and clusters', SIAM Journal on Applied Mathematics, 74 15511570 (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.



2014 
Meylan MH, 'The timedependent motion of a floating elastic or rigid body in two dimensions', APPLIED OCEAN RESEARCH, 46 5461 (2014) [C1]



2014 
Smith MJA, McPhedran RC, Meylan MH, 'Double Dirac cones at k = 0 in pinned platonic crystals', WAVES IN RANDOM AND COMPLEX MEDIA, 24 3554 (2014)



2014 
Smith MJA, McPhedran RC, Meylan MH, 'Double dirac cones at k = 0 in pinned platonic crystals', Waves in Random and Complex Media, 24 3554 (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.



2014 
Smith MJA, Meylan MH, McPhedran RC, Poulton CG, 'A short remark on the band structure of freeedge platonic crystals', Waves in Random and Complex Media, 24 421430 (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 freeedge boundary conditions are imposed at the edge of each cylindrical inclusion. The solution procedure given here exploits a wellknown 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 freeedge problem. This is in contrast to clampededge boundary conditions for the same biharmonic plate problem, which features a lowfrequency band gap. The numerical solution procedure outlined here is also simplified relative to earlier publications, and exploits the spectral properties of complexvalued matrices to determine the band structure of the structured plate.



2014 
Meylan MH, Bennetts LG, Kohout AL, 'Insitu measurements and analysis of ocean waves in the Antarctic marginal ice zone', Geophysical Research Letters, 41 50465051 (2014) [C1]



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 437463 (2013) [C1]



2012 
Williams T, Meylan MH, 'The WienerHopf and Residue Calculus solutions for a submerged semiinfinite elastic plate', Journal of Engineering Mathematics, 75 81106 (2012) [C1]



2012 
Meylan MH, Tomic M, 'Complex resonances and the approximation of wave forcing for floating elastic bodies', Applied Ocean Research, 36 5159 (2012) [C1]



2012 
Smith MJA, McPhedran RC, Poulton CG, Meylan MH, 'Negative refraction and dispersion phenomena in platonic clusters', Waves in Random and Complex Media, 22 435458 (2012) [C1]



2011 
Fitzgerald C, Meylan MH, 'Generalized eigenfunction method for floating bodies', Journal of Fluid Mechanics, 677 544554 (2011) [C1]



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 40294046 (2011) [C1]



2011 
Smith MJA, Meylan MH, 'Wave Scattering by an Ice Floe of Variable Thickness', Cold Regions Science and Technology, 69 2430 (2011) [C1]



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 35093529 (2011) [C1]



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 118122 (2011) [C1] 


2011 
Meylan MH, McPhedran RC, 'Fast and slow interaction of elastic waves with platonic clusters', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 35093529 (2011) [C1]



2010 
Emeljanow VE, 'Editorial', Popular Entertainment Studies, 1 15 (2010) [C3] 


2010 
Peter MA, Meylan MH, 'A general spectral approach to the timedomain evolution of linear water waves impacting on a vertical elastic plate', SIAM Journal on Applied Mathematics, 70 23082328 (2010) [C1]



2010 
Bennetts LG, Peter MA, Squire VA, Meylan MH, 'A threedimensional model of wave attenuation in the marginal ice zone', Journal of Geophysical Research, 115 (2010) [C1]



2009 
Bonnefoy F, Meylan MH, Ferrant P, 'Nonlinear higherorder spectral solution for a twodimensional moving load on ice', JOURNAL OF FLUID MECHANICS, 621 215242 (2009) [C1]



2009 
Meylan MH, Taylor RE, 'Timedependent waterwave scattering by arrays of cylinders and the approximation of near trapping', JOURNAL OF FLUID MECHANICS, 631 103125 (2009) [C1]



2009 
Meylan MH, 'Timedependent linear waterwave scattering in two dimensions by a generalized eigenfunction expansion', JOURNAL OF FLUID MECHANICS, 632 447455 (2009) [C1]



2009 
MahmoodUlHassan, Meylan MH, Peter MA, 'Waterwave scattering by submerged elastic plates', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 62 321344 (2009) [C1]



2009 
Peter MA, Meylan MH, 'WATERWAVE SCATTERING BY VAST FIELDS OF BODIES', SIAM JOURNAL ON APPLIED MATHEMATICS, 70 15671586 (2009) [C1]



2009 
Meylan MH, Sturova IV, 'Timedependent motion of a twodimensional floating elastic plate', JOURNAL OF FLUIDS AND STRUCTURES, 25 445460 (2009) [C1]



2009 
Kohout AL, Meylan MH, 'Wave scattering by multiple floating elastic plates with spring or hinged boundary conditions', MARINE STRUCTURES, 22 712729 (2009) [C1]



2008 
Kohout AL, Meylan MH, 'An elastic plate model for wave attenuation and ice floe breaking in the marginal ice zone', JOURNAL OF GEOPHYSICAL RESEARCHOCEANS, 113 (2008) [C1]



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 649663 (2007)



2007 
Wang CD, Meylan MH, Porter R, 'The linearwave response of a periodic array of floating elastic plates', JOURNAL OF ENGINEERING MATHEMATICS, 57 2340 (2007)



2007 
Peter MA, Meylan MH, 'Waterwave scattering by a semiinfinite periodic array of arbitrary bodies', JOURNAL OF FLUID MECHANICS, 575 473494 (2007)



2007 
Hazard C, Meylan MH, 'Spectral theory for an elastic thin plate floating on water of finite depth', SIAM JOURNAL ON APPLIED MATHEMATICS, 68 629647 (2007)



2006 
Peter MA, Meylan MH, Linton CM, 'Waterwave scattering by a periodic array of arbitrary bodies', JOURNAL OF FLUID MECHANICS, 548 237256 (2006)



2006 
Meylan MH, 'A semianalytic solution to the timedependent halfspace linear Boltzmann equation', TRANSPORT THEORY AND STATISTICAL PHYSICS, 35 187227 (2006)



2006 
Grotmaack R, Meylan MH, 'Wave forcing of small floating bodies', JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERINGASCE, 132 192198 (2006)



2006 
Meylan MH, Masson D, 'A linear Boltzmann equation to model wave scattering in the marginal ice zone', OCEAN MODELLING, 11 417427 (2006)



2006 
Kohout AL, Meylan MH, 'A Model for Wave Scattering in the Marginal Ice Zone based on a TwoDimensional Floating Elastic Plate Solution', Annals of Glaciology, 44 101107 (2006) 


2004 
Peter MA, Meylan MH, 'Infinitedepth interaction theory for arbitrary floating bodies applied to wave forcing of ice floes', JOURNAL OF FLUID MECHANICS, 500 145167 (2004)



2004 
Peter MA, Meylan MH, 'The eigenfunction expansion of the infinite depth free surface Green function in three dimensions', WAVE MOTION, 40 111 (2004)



2004 
Wang CD, Meylan MH, 'A higherordercoupled boundary element and finite element method for the wave forcing of a floating elastic plate', Journal of Fluids and Structures, 19 557572 (2004)
We present a higherorder 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 higherorder 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 freesurface 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.



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 8185 (2004) 


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 236245 (2003) 


2002 
Meylan MH, 'Spectral solution of timedependent shallow water hydroelasticity', JOURNAL OF FLUID MECHANICS, 454 387402 (2002)



2002 
Wang CD, Meylan MH, 'The linear wave response of a floating thin plate on water of variable depth', APPLIED OCEAN RESEARCH, 24 163174 (2002)



2002 
Meylan MH, 'Wave response of an ice floe of arbitrary geometry', Journal of Geophysical Research: Oceans, 107 (2002)
A fully threedimensional model for the motion and bending of a solitary ice floe due to wave forcing is presented. This allows the scattering and waveinduced force for a realist... [more]
A fully threedimensional model for the motion and bending of a solitary ice floe due to wave forcing is presented. This allows the scattering and waveinduced force for a realistic ice floe to be calculated. These are required to model wave scattering and waveinduced 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 timeaveraged 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.



2001 
Meylan MH, 'A variational equation for the wave forcing of floating thin plates', APPLIED OCEAN RESEARCH, 23 195206 (2001)



1997 
Meylan MH, Squire VA, Fox C, 'Toward realism in modeling ocean wave behavior in marginal ice zones', JOURNAL OF GEOPHYSICAL RESEARCHOCEANS, 102 2298122991 (1997)



1997 
Meylan MH, 'The forced vibration of a thin plate floating on an infinite liquid', JOURNAL OF SOUND AND VIBRATION, 205 581591 (1997)



1996 
Meylan MH, Squire VA, 'Response of a circular ice floe to ocean waves', JOURNAL OF GEOPHYSICAL RESEARCHOCEANS, 101 88698884 (1996)



1995 
Meylan MH, 'A Flexible Vertical Sheet in Waves', International Journal of Offshore and Polar Engineering, 5 105110 (1995)



1995 
Meylan MH, 'A Flexible Vertical Sheet in Waves', International Journal of Offshore and Polar Engineering, 5 105110 (1995) 


1995 
Meylan MH, Squire VA, 'Response of a thick flexible raft to ocean waves', International Journal of Offshore and Polar Engineering, 5 198203 (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 lengthtothickness 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.



1994 
SQUIRE VA, ROBINSON WH, MEYLAN M, HASKELL TG, 'OBSERVATIONS OF FLEXURAL WAVES ON THE EREBUSICETONGUE, MCMURDOSOUND, ANTARCTICA, AND NEARBY SEAICE', JOURNAL OF GLACIOLOGY, 40 377385 (1994)



1994 
MEYLAN M, SQUIRE VA, 'THE RESPONSE OF ICE FLOES TO OCEAN WAVES', JOURNAL OF GEOPHYSICAL RESEARCHOCEANS, 99 891900 (1994)



1993 
MEYLAN M, SQUIRE VA, 'FINITEFLOE WAVE REFLECTION AND TRANSMISSION COEFFICIENTS FROM A SEMIINFINITE MODEL', JOURNAL OF GEOPHYSICAL RESEARCHOCEANS, 98 1253712542 (1993)



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 322323 (1993)



1991 
BUCKLEY RG, POOKE DM, TALLON JL, PRESLAND MR, FLOWER NE, STAINES MP, et al., 'CASUBSTITUTION AND LASUBSTITUTION IN YBA2CU3O7DELTA, Y2BA4CU7O15DELTA AND YBA2CU4O8', PHYSICA CSUPERCONDUCTIVITY AND ITS APPLICATIONS, 174 383393 (1991)


