Dr Mike Meylan
Associate Professor
School of Mathematical and Physical Sciences
 Email:mike.meylan@newcastle.edu.au
 Phone:(02) 4921 6792
Career Summary
Biography
Research Expertise
I am an expert in wave scattering in both the time and frequency domain. Much of my research has been connected with wave water scattering, especially with hydroelasticity, but I have also worked in photonics and more general wave scattering theory. I am especially interested in the connection between the frequency and time domain problems and the phenomena of near trapping. However, the main focus of my research has been on understanding the process of wave scattering in the Marginal Ice Zone. This is an extremely complicated wave scattering problem which is very poorly understood. I have been responsible for some of the most important models developed in the last twenty years.
Teaching Expertise
I have taught a wide range of mathematics courses, but I specialize in teaching differential equations. I have a very broad knowledge of this field from both my research (which is connected with the use of differential equations to model wave phenomena) and from the courses I have taught. I like to combine modelling, analytic and numerical solutions in my teaching so that students see the way in which all three are connected.
Administrative Expertise
I am currently the Program Convener for BMath and a member of the CARMA executive..
Collaborations
I am collaborating with Prof Ross McPhedran at the University of Sydney, Luke Bennetts at University of Adelaide, Colm Fitzgerald at Oxford University.
Qualifications
 PhD, University of Otago  New Zealand
 Bachelor of Science (Honours), University of Otago  New Zealand
 Bachelor of Arts, University of Otago  New Zealand
Keywords
 DIfferential Equations
 Hydroelasticity
 Wave Scattering
Fields of Research
Code  Description  Percentage 

010299  Applied Mathematics not elsewhere classified  30 
010399  Numerical and Computational Mathematics not elsewhere classified  30 
010599  Mathematical Physics not elsewhere classified  40 
Professional Experience
UON Appointment
Title  Organisation / Department 

Associate Professor  University of Newcastle School of Mathematical and Physical Sciences Australia 
Academic appointment
Dates  Title  Organisation / Department 

1/01/2012   Editorial Board  The Journal of Applied Mathematics  The Journal of Applied Mathematics Australia 
1/08/2003  1/12/2011  Lecturer  Massey University New Zealand 
1/08/2003  1/12/2011  Senior Lecturer  The University of Auckland Department of Mathematics New Zealand 
Awards
Recipient
Year  Award 

2012 
Teaching Award Unknown 
Publications
For publications that are currently unpublished or inpress, details are shown in italics.
Journal article (70 outputs)
Year  Citation  Altmetrics  Link  

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) Â© 2016 Elsevier B.V.Measurements of the wave fields reflected and transmitted by a thin floating plastic plate are reported for regular incident waves over a range of incident pe... [more] Â© 2016 Elsevier B.V.Measurements of the wave fields reflected and transmitted by a thin floating plastic plate are reported for regular incident waves over a range of incident periods (producing wavelengths comparable to the plate length) and steepnesses (ranging from mild to stormlike). Two different plastics are tested, with different densities and mechanical properties, and three different configurations are tested. The configurations include freely floating plates, loosely moored plates (to restrict drift), and plates with edge barriers (to restrict waves overwashing the plates). The wave fields reflected and transmitted by plates without barriers are shown to become irregular, as the incident waves become steeper, particularly for the denser plastic and the moored plate. Further, the proportion of energy transmitted by the plates without barriers is shown to decrease as the incident wave becomes steeper, and this is related to wave energy dissipation.


2017 
Meylan MH, Smith MJA, 'Perforated grating stacks in thin elastic plates', Wave Motion, 70 1528 (2017) Â© 2016 Elsevier B.V.The reflection and transmission spectrum of an individual grating, and repeated stacks of gratings, is computed using boundary integral methods for arrays of ... [more] Â© 2016 Elsevier B.V.The reflection and transmission spectrum of an individual grating, and repeated stacks of gratings, is computed using boundary integral methods for arrays of arbitrarily shaped cavities, with freeedge boundary conditions, that are periodically repeated in a thin elastic plate. The solution is found using a specially developed boundary element method coupled with an array Green's function. The computational code is tested against the solution obtained using multipoles which applies only to circular geometries but is shown to give very good agreement. The code is also validated using energy balance equations which includes the evanescent modes. A number of cavity shapes are investigated and results are compared against circular cavities with equivalent volumes.


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) Â© 2016 Elsevier B.V.An eigenfunctionmatching method is developed for the problem of linear waterwave scattering by a circular floating porous elastic plate, and a coupled bound... [more] Â© 2016 Elsevier B.V.An eigenfunctionmatching method is developed for the problem of linear waterwave scattering by a circular floating porous elastic plate, and a coupled boundaryelement and finiteelement method is developed for the problem in which the plate is of arbitrary shape. The methods are shown to produce the same solutions for a circular plate, and their convergence properties are established. The impact of porosity on the far field (the wave field away from the plate) is investigated using integral representations for the Bessel and Hankel functions. It is shown that waveenergy dissipation due to porosity initially increases as the plate becomes more porous, but reaches a maximum and then slowly decreases as the porosity increases further.


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) Â© 2017 Elsevier LtdThe timedomain linear water wave problem for multiple bodies which are constrained to move in heave after being given an arbitrary initial displacement is con... [more] Â© 2017 Elsevier LtdThe timedomain linear water wave problem for multiple bodies which are constrained to move in heave after being given an arbitrary initial displacement is considered. It is shown that the solution can be calculated in a simple and efficient method using the frequency domain solution. The resonant behaviour of the system is then investigated and an approximation to the solution using the singularity expansion method derived. A method to exploit any symmetry in the multiple body geometry, which makes the calculations more efficient and simplifies the analysis, is presented. Numerical calculations are performed for truncated cylinders, using bespoke code that computes the solution for complex frequencies. A method to approximate the solution for complex frequencies using results for real frequencies is derived and this is used to make calculations for heaving hemispheres using existing general purpose computer code.


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 Â© 2015 John Wiley & Sons, Ltd.We present solutions to both trifurcated and pentafurcated spaced waveguides using the mode matching (or eigenfunction expansion) method. ... [more] Copyright Â© 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 WienerÂ¿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 WienerÂ¿Hopf technique. We also investigate the numerical solution in detail for various geometries to model practical exhaust systems. Copyright Â© 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] Â© 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] Â© 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] Â© 2016 The AuthorsThe 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] Â© 2016 The AuthorsThe 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] Â© 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] Â© 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] Â© 2016An approach for tomographic reconstruction of threedimensional strain distributions from Braggedge neutron transmission strain images is outlined and investigated. This a... [more] Â© 2016An 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] Â© 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] Â© 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] Â© 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] Â© 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] Â© 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 t... [more] Â© 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 equatio... [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 the Weddell ... [more] Wave attenuation coefficients (a, m^{1}) 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 
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, 74 15511570 (2014) [C1] Â© 2014 Society for Industrial and Applied MathematicsThe density of states, which measures the density of the spectrum, is evaluated for a platonic crystal (periodically structur... [more] Â© 2014 Society for Industrial and Applied MathematicsThe 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) [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.Â© 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] Â© 2014 Â© 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 ... [more] Â© 2014 Â© 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 
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]


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)


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. Â© 2004 Elsevier Ltd. All rights reserved.


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)


Show 67 more journal articles 
Conference (43 outputs)
Year  Citation  Altmetrics  Link  

2016  Skene D, Bennetts L, Meylan MH, Wright M, Maki K, 'Comparison of mathematical and CFD models of overwash of a step' (2016)  
2016  Meylan MH, Wolgamot H, 'Symmetry in Multiple Body Calculations' (2016)  
2015  Skene D, Bennetts L, Meylan MH, Toffoli A, Monty J, 'Modelling Water Wave Overwash of a Sea Ice Floe', Proceedings of IWWWFB30 (2015) [E1]  
2014  Meylan MH, Troffoli A, Bennetts LG, Cavaliere C, Alberello A, Babanin A, 'An Experimental Model of WaveInduced Motions of an Ice Floe', The Proceedings of the 19th Australasian Fluid Mechanics Conference (2014) [E1]  
2014  Bennetts L, Yiew L, Meylan MH, French B, Thomas G, 'An Experimental Model of Nonrafting Collisions between Ice Floes Caused by Monochromatic Water Waves', The Proceedings of the 19th Australasian Fluid Mechanics Conference (2014) [E1]  
2013  Meylan MH, 'Modelling wave attenuation in the marginal ice zone', Proceedings of the 49th ANZIAM Conference (2013) [E3]  
2006 
Kohout AL, Meylan MH, 'A model for wave scattering in the marginal ice zone based on a twodimensional floatingelasticplate solution', Annals of Glaciology, Vol 44, 2006 (2006)


2004 
Peter MA, Meylan MH, Chung H, 'Wave scattering by a circular elastic plate in water of finite depth: Closed form solution', INTERNATIONAL JOURNAL OF OFFSHORE AND POLAR ENGINEERING (2004)


2003 
Wang CD, Meylan MH, 'The effect of discretisation on the scattering by floating plates using a higher order method.', PROCEEDINGS OF THE THIRTEENTH (2003) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL 1 (2003)


2002  Meylan MH, Hazard C, 'Spectral theory for a floating massless thin plate on water of arbitrary depth.', PROCEEDINGS OF THE TWELFTH (2002) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL 1 (2002)  
2001 
Meylan MH, 'An application of scattering frequencies to hydroelasticity', PROCEEDINGS OF THE ELEVENTH (2001) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL III (2001)


Show 40 more conferences 
Grants and Funding
Summary
Number of grants  6 

Total funding  $436,088 
Click on a grant title below to expand the full details for that specific grant.
20171 grants / $385,032
BraggEdge Neutron Transmission Strain Tomography$385,032
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Associate Professor Chris Wensrich, Professor Erich Kisi, Doctor Mike Meylan, Anton Tremsin, Dr Vladmir Luzin, Oliver Kirstein 
Scheme  Discovery Projects 
Role  Investigator 
Funding Start  2017 
Funding Finish  2019 
GNo  G1600171 
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  Y 
20142 grants / $35,000
Just add ice  modelling wave transport in the marginal ice zone$20,000
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Doctor Mike Meylan 
Scheme  Near Miss Grant 
Role  Lead 
Funding Start  2014 
Funding Finish  2014 
GNo  G1301387 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
A thermally stratified SeaIceWave Interaction Facility$15,000
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Dr Jason Monty, Professor Alexander Babanin, Doctor Mike Meylan, Dr Luke Bennetts, Dr Alessandro Toffoli, Professor Ivan Marusic, Professor Joseph Klewicki, Associate Professor Nicholas Hutchins, Associate Professor Sergey Suslov, Dr David Walker, Dr Daniel Chung 
Scheme  Equipment Grant 
Role  Lead 
Funding Start  2014 
Funding Finish  2014 
GNo  G1300553 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
20132 grants / $12,000
Complex Resonant Water Wave Scattering: Linking Theory, Numerical Methods, and Modelling$10,000
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Doctor Mike Meylan 
Scheme  Near Miss Grant 
Role  Lead 
Funding Start  2013 
Funding Finish  2013 
GNo  G1300460 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
Faculty PVC Conference Assistance Grant 2013$2,000
Funding body: University of Newcastle  Faculty of Science & IT
Funding body  University of Newcastle  Faculty of Science & IT 

Project Team  Doctor Mike Meylan 
Scheme  PVC Conference Assistance Grant 
Role  Lead 
Funding Start  2013 
Funding Finish  2013 
GNo  G1401174 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
20121 grants / $4,056
Hydrodynamic Response of Floating Structures: Developing Novel Methods$4,056
Funding body: University of Newcastle
Funding body  University of Newcastle 

Project Team  Doctor Mike Meylan 
Scheme  New Staff Grant 
Role  Lead 
Funding Start  2012 
Funding Finish  2012 
GNo  G1200627 
Type Of Funding  Internal 
Category  INTE 
UON  Y 
Research Supervision
Number of supervisions
Current Supervision
Commenced  Level of Study  Research Title  Program  Supervisor Type 

2010  PhD  Wave Scattering in Platonics  Mathematics, The University of Auckland  Principal Supervisor 
Past Supervision
Year  Level of Study  Research Title  Program  Supervisor Type 

2011  Masters  The Decay of the Free Motion of a Floating Body  Ocean Engineering, The University of Auckland  Sole Supervisor 
News
Climate Change Discovery
June 3, 2014
University of Newcastle hydrodynamics expert, Dr Mike Meylan, part of the research team behind a recent groundbreaking discovery that linked the effects of stormgenerated waves on sea ice behaviours, said the finding could help predict future global climate trends.
Dr Mike Meylan
Position
Associate Professor
School of Mathematical and Physical Sciences
Faculty of Science
Contact Details
mike.meylan@newcastle.edu.au  
Phone  (02) 4921 6792 
Fax  (02) 49216898 
Office
Room  VG26 

Building  Mathematics Building. 
Location  Callaghan University Drive Callaghan, NSW 2308 Australia 