Publications

Journal articles

Submitted/accepted

A. Alberello, M. Onorato, L. Bennetts, M. Vichi, C. Eayrs, K. MacHutchon, A. Toffoli, Pancake ice floe size distribution during the winter expansion of the Antarctic marginal ice zone, The Cryosphere Discussions.

M. Quigley, L. Bennetts, P. Durance, P. Kuhnert, M. Lindsay, K. Pembleton, M. Roberts, C. White, The provision and utility of earth science to decision-makers, submitted.

B. Kalyanaraman, L. Bennetts, B. Lamichhane, M. Meylan, On the shallow water limit for modelling ocean-wave induced ice-shelf vibrations, submitted.

L. Bennetts, M. Peter, P. Dylejko, A. Skvortsov, Effective properties of acoustic metamaterial chains with low-frequency bandgaps controlled by the geometry of lightweight attachment, submitted.

S. Rupprecht, L. Bennetts, M. Peter, On the calculation of wave attenuation along rough strings using individual and effective fields, Wave Motion, accepted.

Published

[47] A. Dolatshah, F. Nelli, L. Bennetts, M. Meylan, A. Alberello, J. Monty, A. Toffoli, 2018, Hydroelastic interactions between water waves and floating freshwater ice, Physics of Fluids, 30, 091702, https://doi.org/10.1063/1.5050262, arXiv:1807.10999.

[46] L. Bennetts, M. Peter, R. Craster, 2018, Graded resonator arrays for spatial frequency separation and amplification of water waves, Journal of Fluid Mechanics, 854, R4, doi:10.1017/jfm.2018.648, arXiv:1806.05404.

[45] M. Meylan, L. Bennetts, 2018, Three-dimensional time-dependent scattering of waves in the marginal ice zone, Philosophical Transactions of the Royal Society, 376:20170334. http://dx.doi.org/10.1098/rsta.2017.0334.

[44] R. Massom, T. Scambos, L. Bennetts, P. Reid, V. Squire, S. Stammerjohn, 2018, Antarctic ice shelf disintegration triggered by sea ice loss and ocean swell, Nature, https://doi.org/10.1038/s41586-018-0212-1.

[43] M. Ilyas, M. Meylan, B. Lamichhane, L. Bennetts, 2018, Time-domain and modal response of ice shelves to wave forcing using the finite element method, Journal of Fluids and Structures, 80, 113–131, doi.org/10.1016/j.jfluidstructs.2018.03.010.

[42] M. Meylan, L. Bennetts, J. Mosig, E. Rogers, M. Doble, M. Peter, 2018, Dispersion relations, power laws and energy loss for waves in the marginal ice zone, Journal of Geophysical Research, doi.org/10.1002/2018JC013776.

[41] D. Skene, L. Bennetts, M. Wright, M. Meylan, K. Maki, 2018, Water wave over wash of a step, Journal of Fluid Mechanics, 839, 293–312, doi.org/10.1017/jfm.2017.857.

[40] L. Yiew, L. Bennetts, M. Meylan, G. Thomas, B. French, 2017, Wave-induced collisions of thin floating disks, Physics of Fluids, doi:10.1063/1.5003310.

[39] M. Meylan, L. Bennetts, R. Hosking, E. Catt, On the calculation of normal modes of a coupled ice-shelf/sub-ice-shelf cavity system, Journal of Glaciology, DOI: https://doi.org/10.1017/jog.2017.27.

[38] L. Bennetts, S. O’Farrell, P. Uotila, 2017, Impacts of ocean-wave-induced breakup of Antarctic sea ice via thermodynamics in a standalone version of the CICE sea-ice model, The Cryosphere, 11, 1035–1040, doi:10.5194/tc-11-1035-2017.

[37] L. Bennetts, M. Peter, F. Montiel, 2017, Localisation of Rayleigh—Bloch waves and damping of resonant loads on arrays of cylinders, Journal of Fluid Mechanics, 813, 508–527, DOI: https://doi.org/10.1017/jfm.2016.855. Graphical abstract.

[36] F. Nelli, L. Bennetts, D. Skene, J. Monty, J. Lee, M. Meylan, A. Toffoli, Reflection and transmission of regular water waves by a thin floating plate, Wave Motion, 70, 209–221, DOI: http://dx.doi.org/10.1016/j.wavemoti.2016.09.003

[35] S. Rupprecht, L. Bennetts, M. Peter, Effective wave-propagation along a rough thin-elastic beam, Wave Motion, 70, 3–14, DOI:http://dx.doi.org/10.1016/j.wavemoti.2016.08.002

[34] M. Meylan, L. Bennetts, M. Peter, Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions, Wave Motion, 70, 240–250, DOI: http://dx.doi.org/10.1016/j.wavemoti.2016.06.014

[33] F. Montiel, V. Squire, L. Bennetts, 2016, Attenuation and directional spreading of ocean wave spectra in the marginal ice zone, Journal of Fluid Mechanics, 790, 492-522, DOI: http://dx.doi.org/10.1017/jfm.2016.21

[32] L. Yiew, L. Bennetts, M. Meylan, B. French, G. Thomas, 2016, Hydrodynamic response of a thin floating disk to regular waves, Ocean Modelling, 97, 52-64, doi:10.1016/j.ocemod.2015.11.008

[31] A. Toffloi, L. Bennetts, M. Meylan, C. Cavaliere, A. Alberello, J. Elsnab, J. P. Monty, 2015, Sea ice floes dissipate the energy of steep ocean waves, Geophysical Research Letters, 42(20), 8547-8554, DOI: 10.1002/2015GL065937

[30] D. Skene, L. Bennetts, M. Meylan, A. Toffloi, 2015, Modelling water wave overwash of a thin floating plate, Journal of Fluid Mechanics, 777, http://dx.doi.org/10.1017/jfm.2015.378Electronic supplementary material

[29] L. Bennetts, A. Alberello, M. Meylan, C. Cavaliere, A. Babanin, A. Toffloi, 2015, An idealised experimental model of ocean surface wave transmission by an ice floe, Ocean Modelling, 96(1), 85-92, doi:10.1016/j.ocemod.2015.03.001

[28] F. Montiel, V. Squire, L. Bennetts, 2015, Reflection and transmission of ocean wave spectra by a band of randomly distributed ice floes, Annals of Glaciology, 56(69), 315-322, doi: 10.3189/2015AoG69A556

[27] M. Meylan, L. Bennetts, A. Alberello, C. Cavaliere, A. Toffloi, 2015, Experimental and theoretical models of wave-induced flexure of a sea ice floe, Physics of Fluids, 27, 041704, doi: 10.1063/1.4916573. Electronic supplementary material

[26] F. Montiel, V. Squire, L. Bennetts, 2015, Evolution of directional wave spectra through finite regular and randomly-perturbed arrays of scatterers, SIAM Journal on Applied Mathematics, 75(2), 630-651, DOI. 10.1137/140973906

[25] L. Bennetts, S. O’Farrell, P. Uotila, V. Squire, 2015, An idealised wave-ice interaction model without subgrid spatial or temporal discretisations, Annals of Glaciology, 56(69), 258-262, doi: 10.3189/2015AoG69A599

[24] L. Bennetts, T. Williams, 2015, Water wave transmission by an array of floating disks, Proceedings of the Royal Society of London, Series A, 471, doi:10.1098/rspa.2014.0698

[23] L. Bennetts, M. Peter, H. Chung, 2015, Absence of localisation in ocean wave interactions with a rough seabed in intermediate water depth, Quarterly Journal of Mechanics and Applied Mathematics, 68(1), 97-113, doi: 10.1093/qjmam/hbu024 

[22] M. Meylan, L. Yiew, L. Bennetts, B. French, G. Thomas, 2015, Surge motion of an ice floe in waves: comparison of theoretical and experimental models, Annals of Glaciology, 56(69), 107-111, doi: 10.3189/2015AoG69A646

[21] M. Meylan, L. Bennetts, A. Kohout, 2014, In-situ measurements and analysis of ocean waves in the Antarctic marginal ice zone, Geophysical Research Letters, 41, doi:10.1002/2014GL060809

[20] T. Williams, L. Bennetts, V. Squire, D. Dumont, L. Bertino, 2013, Wave-ice interactions in the marginal ice zone. Part 1: Theoretical foundations, Ocean Modelling, 71, 81-91, doi:10.1016/j.ocemod.2013.05.010

[19] T. Williams, L. Bennetts, V. Squire, D. Dumont, L. Bertino, 2013, Wave-ice interactions in the marginal ice zone. Part 2: Numerical implementation and sensitivity studies along 1D transects of the ocean surface, Ocean Modelling, 71, 92-101, doi:10.1016/j.ocemod.2013.05.011

[18] L. Bennetts, M. Peter, 2013,  Spectral analysis of wave propagation through rows of scatterers via random sampling and a coherent potential approximation, SIAM Journal on Applied Mathematics, 73(4), 1613-1633, DOI:10.1137/120903439

[17] F. Montiel, F. Bonnefoy, P. Ferrant, L. Bennetts, V. Squire, P Marsault, 2013, Hydroelastic response of floating elastic disks to regular waves. Part 1: Wave tank experiments, Journal of Fluid Mechanics, 723, 604-628, DOI: http://dx.doi.org/10.1017/jfm.2013.123

[16] F. Montiel, L. Bennetts, V. Squire, F. Bonnefoy, P. Ferrant, 2013, Hydroelastic response of floating elastic disks to regular waves. Part 2: Modal analysis, Journal of Fluid Mechanics, 723, 629-652, DOI: http://dx.doi.org/10.1017/jfm.2013.124

[15] V. Squire, T. Williams, L. Bennetts, 2013, Better operational forecasting for the contemporary Arctic via ocean wave integration, International Journal of Offshore & Polar Engineering, 23(2), 81-88, ISSN 1053-5381

[14] L. Bennetts, V. Squire, 2012, Model sensitivity analysis of scattering-induced attenuation of ice-coupled waves, Ocean Modelling, 45-46, 1-13,doi:10.1016/j.ocemod.2012.01.002

[13] F. Montiel, L. Bennetts, V. Squire, 2012, The transient response of floating elastic plates to wavemaker forcing in two dimensions, Journal of Fluids and Structures, 28, 416-433, doi:10.1016/j.jfluidstructs.2011.10.007

[12] L. Bennetts, V. Squire, 2012, On the calculation of an attenuation coefficient for transects of ice covered ocean, Proceedings of the Royal Society of London, Series A, 468, 136-162, DOI: 10.1098/rspa.2011.0155

[11] L. Bennetts, 2011, Wave attenuation through multiple rows of scatterers with differing periodicities, SIAM Journal on Applied Mathematics, 71(2), 540-548, DOI:10.1137/10080662X

[10] L. Bennetts, T. Williams, 2010, Wave scattering by ice floes and polynyas of arbitrary shape, Journal of Fluid Mechanics, 662, 5–35, DOI: http://dx.doi.org/10.1017/S0022112010004039

[9] L. Bennetts, M. Peter, V. Squire, M. Meylan, 2010 A three-dimensional model of wave attenuation in the marginal ice zone, Journal of Geophysical Research Oceans, 115, C12043, DOI: 10.1029/2009JC005982

[8] L. Bennetts, V. Squire, 2010, Linear wave forcing of an array of axisymmetric ice floes, IMA Journal of Applied Mathematics, 75(1), 108–138, doi: 10.1093/imamat/hxp038

[7] V. Squire, G. Vaughan, L. Bennetts, 2009, Ocean surface wave evolvement in the Arctic Basin, Geophysical Research Letters, 36, L22502, DOI: 10.1029/2009GL040676

[6] L. Bennetts, V. Squire, 2009, Wave scattering by multiple rows of circular ice floes, Journal of Fluid Mechanics, 639, 213–238, DOI:http://dx.doi.org/10.1017/S0022112009991017

[5] G. Vaughan, L. Bennetts, V. Squire, 2009, The decay of flexural-gravity waves in long sea-ice transects, Proceedings of the Royal Society of London, Series A, 465, 2785–2812, DOI: 10.1098/rspa.2009.0187

[4] L. Bennetts, N. Biggs, D. Porter, 2009, The interaction of flexural-gravity waves with periodic geometries, Wave Motion, 46(1), 57–73, doi:10.1016/j.wavemoti.2008.08.002

[3] L. Bennetts, N. Biggs, D. Porter, 2009, Wave scattering by an axisymmetric ice floe of varying thickness, IMA Journal of Applied Mathematics, 74, 273–295, doi:10.1093/imamat/hxn019

[2] L. Bennetts, V. Squire, 2008, Wave scattering by an infinite straight-line array of axisymmetric ice floes, International Journal of Offshore and Polar Engineering, 18(4), 254–262, ISSN 1053-5381

[1] L.Bennetts, N. Biggs, D. Porter, 2007, A multi-mode approximation to wave scattering by ice sheets of varying thickness, Journal of Fluid Mechanics, 579, 413–443, DOI:http://dx.doi.org/10.1017/S002211200700537X

Refereed conference proceedings

[24] M. Meylan, L. Bennetts, M. Ilyas, B. Lamichhane, M. Peter, Application of the Hydroelastic Theory of Ships to the Motion of Ice Shelves, The 33rd International Workshop of Water Waves and Floating Bodies, Guidel-Plages, France.

[23] M. Peter, L. Bennetts, R. Craster, 2018, Rainbow trapping of water waves, The 33rd International Workshop of Water Waves and Floating Bodies, Guidel-Plages, France.

[22] B. Ding, L. Silva, N. Sergiienko, F. Meng, J. Piper, L. Bennetts, M. Wagner, B. Cazzolato,  M. Arjomandi, Study of fully submerged point absorber wave energy converter-modelling, simulation and scaled experiment, The 32nd International Workshop of Water Waves and Floating Bodies, Dalian, China.

[21] M. Meylan, L. Bennetts, R. Hosking, O. Sergienko, 2017, Modelling wave–ice shelf interactions, The 32nd International Workshop of Water Waves and Floating Bodies, Dalian, China.

[20] F. Nelli, D. Skene, L. Bennetts, M. Meylan, J. Lee, J. Monty & A. Toffoli, 2016, Dissipation of wave energy during wave-ice interactions due to overwash: Experiments and direct numerical simulations, The 22nd International Association of Hydro-Environment Engineering and Research International Symposium on Ice, Ann Arbor MI, USA.

[19] D. Skene, L. Bennetts, M. Meylan, M. Wright & K. Maki, 2016, Comparison of mathematical and CFD models of overwash of a step, The 31st International Workshop of Water Waves and Floating Bodies, Plymouth MI, USA.

[18] S. Rupprecht, M. Peter, L. Bennetts & H. Chung, 2015, Effective versus individual waves in water wave and thin plate problems, The 12th International Conference on Mathematical & Numerical Aspects of Waves, Karlsruhe, Germany.

[17] D. Skene, L. Bennetts, M. Meylan, A. Toffoli & J. Monty, 2015, Modelling water wave overwash of ice floes, The 30th International Workshop of Water Waves and Floating Bodies, Bristol, UK.

[16] S. Rupprecht, M. Peter, L. Bennetts & H. Chung, 2015, Localisation in water wave and thin plate problems, The 30th International Workshop of Water Waves and Floating Bodies, Bristol, UK.

[15] L. Bennetts, L. Yiew, M. Meylan, B. French & G. Thomas, 2014, An experimental model of non-rafting collisions between ice floes caused by monochromatic waves, The 19th Australasian Fluid Mechanics Conference, Melbourne.

[14] M. Meylan, A. Toffoli, L. Bennetts, C. Cavaliere, A. Alberello & A. Babanin, 2014, An experimental model of wave-induced motions of an ice floe, The 19th Australasian Fluid Mechanics Conference, Melbourne.

[13] L. Bennetts, S. O’Farrell, P. Uotila & V. Squire, 2014, Towards a model of the marginal ice zone for use in climate studies, The 22nd International Association of Hydro-Environment Engineering and Research International Symposium on Ice, Singapore.

[12] F. Montiel, V Squire & L. Bennetts, 2014,  Modelling the propagation of a directional wave spectrum in the marginal ice zone, The 22nd International Association of Hydro-Environment Engineering and Research International Symposium on Ice, Singapore.

[11] T. Williams, L. Bennetts, V. Squire, D. Dumont & L. Bertino, 2012, Preliminary results from a two-dimensional model of wave-ice interactions in the Fram Strait, The Arctic Technology Conference, Houston, Texas, U.S.A.

[10] V. Squire, T. Williams & L. Bennetts, 2012, Better operational forecasting for the contemporary Arctic via ocean wave integration, The 22nd International Symposium of Offshore & Polar Engineering, Rhodes, Greece.

[9] T. Williams, L. Bennetts & V. Squire, 2012, A waves-in-ice model with a floe-breaking parameterisation, The 27th International Workshop of Water Waves & Floating Bodies, Copenhagen, Denmark.

[8] L. Bennetts & M. Peter, 2012, Approximations of wave propagation in one-dimensional multiple scattering problems with random characteristics, The 27th International Workshop of Water Waves & Floating Bodies, Copenhagen, Denmark.

[7] L. Bennetts & H. Chung, 2011, Free-body and flexural motion of an elastic plate under wave maker forcing, The 10th International Conference on Mathematical & Numerical Aspects of Waves, Vancouver, Canada.

[6] P. Weir L. Bennetts & V. Squire, 2011, Nonlinear FEM approach to the analysis of the hydroelastic behaviour of floating beams, The 10th International Conference on Mathematical & Numerical Aspects of Waves, Vancouver, Canada.

[5] F. Montiel, F. Bonnefoy, L. Bennetts, V. Squire, P. Ferrant & P. Marsault, 2011, Experimental validation of a linear numerical model for the water wave scattering by a compliant floating elastic disk, The 26th International Workshop of Water Waves & Floating Bodies, Athens, Greece.

[4] L. Bennetts, T. Williams & V. Squire, 2009, An approximation to wave scattering by an ice polynya, The 24th International Workshop of Water Waves & Floating Bodies, St. Petersburg, Russia.

[3] L. Bennetts & V. Squire, 2008, Wave scattering by an infinite straight-line array of axisymmetric ice floes, The 18th International Symposium of Offshore & Polar Engineering, Vancouver, Canada.

[2] L. Bennetts, N. Biggs & D. Porter, 2007, Wave scattering by a circular ice floe of variable thickness and non-zero draught, The 8th International Conference on Mathematical & Numerical Aspects of Waves, Reading, U.K.

[1] L. Bennetts, N. Biggs & D. Porter, 2007, Wave scattering by a circular ice floe of variable thickness, The 22nd International Workshop of Water Waves & Floating Bodies, Plitvice, Croatia.

My PhD thesis

Wave scattering by ice sheets of varying thickness, Awarded in 2007 by the University of Reading UK.