Integrating Rifts and Swell in the Mathematics of Ice Shelf Disintegration

Modelling dynamic strains on ice shelves resulting from flexural and extensional motions forced by ocean wave packets

LG Bennetts, JIE Liang

2026-02-13

The transient response of an ice shelf to an incident wave packet from the open ocean is studied with a model that allows for exte..

Model study of ocean wave propagation through broken sea ice covers with variable ice concentration

JPA Pitt, LG Bennetts

2026-01-01

A theoretical model is used to study the propagation of water waves into and through the marginal ice zone. The marginal ice zone ..

Transformation-based cloaking for flexural–gravity waves in an anisotropic plate floating on shallow water

S Thery, MA Peter, LG Bennetts, S Guenneau

2026-01-01

The principle of cloaking has been developed and applied to different types of waves. We consider the application in the context o..

Waves in ice

Luke G Bennetts

2026-01-01

Ocean surface waves can propagate long distances through regions containing floating ice covers. The impacts that ocean waves have..

Acoustic lattice resonances and generalised Rayleigh–Bloch waves

GJ Chaplain, SC Hawkins, MA Peter, LG Bennetts, TA Starkey

2025-12-01

The intrigue of waves on periodic lattices and gratings has resonated with physicists and mathematicians alike for decades. In-dep..

Attenuating transmitted infragravity waves by a small heaving body

L Cui, LG Bennetts, AR Westcott, JS Leontini, NY Sergiienko, BS Cazzolato, R Manasseh

2025-10-06

When a water wave group encounters a floating body, it forces the body into motion; this motion radiates waves that modify the wav..

Large-scale ice-shelf calving events follow prolonged amplifications in flexure

NJ Teder, LG Bennetts, PA Reid, RA Massom, JPA Pitt, TA Scambos, AD Fraser

2025-07-01

The retreat of Antarctic ice shelves due to calving and the subsequent reduction in buttressing of the Antarctic Ice Sheet are of ..

Roadmap on metamaterial theory, modelling and design

B Davies, S Szyniszewski, MA Dias, L de Waal, A Kisil, V P Smyshlyaev, S Cooper, IV Kamotski, M Touboul, RV Craster, JR Capers, SAR Horsley, RW Hewson, M Santer, R Murphy, D Thillaithevan, SJ Berry, GJ Conduit, J Earnshaw, N Syrotiuk

2025-05-19

This Roadmap surveys the diversity of different approaches for characterising, modelling and designing metamaterials. It contains ..

Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes

B Wilks, F Montiel, LG Bennetts, S Wakes

2025-01-01

Eigenmodes are studied for a fluid-filled rectangular tank containing one or more vertical barriers, and on which either Dirichlet..

Long-term evolution of the Sulzberger Ice Shelf, West Antarctica: Insights from 74-year observations and 2022 Hunga-Tonga volcanic tsunami-induced calving

A Zhao, Y Cheng, AD Fraser, LG Bennetts, H Xiao, Q Liang, T Li, R Li

2024-11-15

On January 15, 2022, the eruption of the Hunga-Tonga volcano unleashed a tsunami that rapidly traversed the Pacific Ocean, soon re..

Tracking Rayleigh-Bloch waves swapping between Riemann sheets

K Matsushima, LG Bennetts, MA Peter

2024-11-13

Rayleigh-Bloch waves are modes localized to periodic arrays of scatterers with unbounded unit cells. Here, Rayleigh-Bloch waves ar..

Broadband near-perfect capture of water wave energy by an array of heaving buoy wave energy converters

AR Westcott, LG Bennetts, NY Sergiienko, BS Cazzolato

2024-10-24

Arrays of heaving buoy type wave energy converters (WECs) are a promising contender to harness the renewable power of ocean waves ..

On transitions in water wave propagation through consolidated to broken sea ice covers

JPA Pitt, LG Bennetts

2024-09-12

A theoretical model is used to study water waves propagating into and through a region containing thin floating ice, for ice cover..

Closing the Loops on Southern Ocean Dynamics: From the Circumpolar Current to Ice Shelves and From Bottom Mixing to Surface Waves

LG Bennetts, CJ Shakespeare, CA Vreugdenhil, A Foppert, B Gayen, A Meyer, AK Morrison, L Padman, HE Phillips, CL Stevens, A Toffoli, NC Constantinou, JM Cusack, A Cyriac, EW Doddridge, MH England, DG Evans, P Heil, AMC Hogg, RM Holmes

2024-09-01

A holistic review is given of the Southern Ocean dynamic system, in the context of the crucial role it plays in the global climate..

Analysis of the Antarctic Marginal Ice Zone Based on Unsupervised Classification of Standalone Sea Ice Model Data

NS Day, LG Bennetts, SP O’Farrell, A Alberello, F Montiel

2024-08-01

The Antarctic marginal ice zone, the regularly wave-affected outer band of the sea ice covered Southern Ocean, typically contains ..

Pan-Antarctic Assessment of Ice Shelf Flexural Responses to Ocean Waves

J Liang, JPA Pitt, LG Bennetts

2024-08-01

Understanding the drivers of iceberg calving from Antarctic ice shelves is important for future sea level rise projections. Ocean ..

A thin-plate approximation for ocean wave interactions with an ice shelf

LG Bennetts, TD Williams, R Porter

2024-04-05

A variational principle is proposed to derive the governing equations for the problem of ocean wave interactions with a floating i..

Protecting coastlines by offshore wave farms: On optimising array configurations using a corrected far-field approximation

L Cui, NY Sergiienko, JS Leontini, N Cohen, LG Bennetts, B Cazzolato, IL Turner, F Flocard, AR Westcott, F Cheng, R Manasseh

2024-04-01

A rapid-calculation method O(10³)∼O(10⁴) times faster than a typical BEM (Boundary Element Method) model is ..

Metamaterial applications of T matsolver, an easy-to-use software for simulating multiple wave scattering in two dimensions

SC Hawkins, LG Bennetts, MA Nethercote, MA Peter, D Peterseim, HJ Putley, B Verfürth

2024-01-01

Multiple scattering of waves is eminent in a wide range of applications and extensive research is being undertaken into multiple s..

A coupled damped harmonic oscillator model for arbitrary arrays of floating cylinders using homotopy methods

SD Chowdhury, LG Bennetts, R Manasseh

2023-10-01

A coupled damped harmonic oscillator model is derived for the long-time motion of an array of floating cylinders moving in heave, ..

Parametric analysis of a two-body floating-point absorber wave energy converter

Q Xu, Y Li, LG Bennetts, S Wang, L Zhang, H Xu, S Narasimalu

2023-09-01

In the evolution of floating-point absorber wave energy conversion systems, multiple-body systems are gaining more attention than ..

Viscous effects on the added mass and damping forces during free heave decay of a floating cylinder with a hemispherical bottom

H Chen, Q Xu, X Zheng, LG Bennetts, B Xie, Z Lin, Z Lin, Y Li

2023-03-01

This paper presents an analysis of viscous effects on the added mass and damping forces during free heave decay of a cylinder with..

Three-dimensional imaging of waves and floes in the marginal ice zone during a cyclone

A Alberello, LG Bennetts, M Onorato, M Vichi, K MacHutchon, C Eayrs, BN Ntamba, A Benetazzo, F Bergamasco, F Nelli, R Pattani, H Clarke, I Tersigni, A Toffoli

2022-12-01

The marginal ice zone is the dynamic interface between the open ocean and consolidated inner pack ice. Surface gravity waves regul..

Modeling Ocean Wave Transfer to Ross Ice Shelf Flexure

LG Bennetts, J Liang, JPA Pitt

2022-11-16

An efficient mathematical model is presented for predicting the transfer of ocean waves to ice shelf flexure along two-dimensional..

Marginal ice zone dynamics: future research perspectives and pathways

LG Bennetts, CM Bitz, DL Feltham, AL Kohout, MH Meylan

2022-10-31

Perspectives are discussed on future directions for the field of marginal ice zone (MIZ) dynamics, based on the extraordinary prog..

Modelling attenuation of irregular wave fields by artificial ice floes in the laboratory

A Toffoli, JPA Pitt, A Alberello, LG Bennetts

2022-10-31

A summary is given on the utility of laboratory experiments for gaining understanding of wave attenuation in the marginal ice zone..

Theory, modelling and observations of marginal ice zone dynamics: multidisciplinary perspectives and outlooks

LG Bennetts, CM Bitz, DL Feltham, AL Kohout, MH Meylan

2022-10-31

The marginal ice zone (MIZ) is the dynamic interface between the open ocean and sea ice-covered ocean. It is characterized by inte..

Model Predictions of Wave Overwash Extent Into the Marginal Ice Zone

JPA Pitt, LG Bennetts, MH Meylan, RA Massom, A Toffoli

2022-10-01

In the marginal ice zone (MIZ), where ocean waves and sea ice interact, waves can produce flows of water across ice floe surfaces ..

Interactions between Irregular Wave Fields and Sea Ice: A Physical Model for Wave Attenuation and Ice Breakup in an Ice Tank

G Passerotti, LG Bennetts, FVBU Polach, A Alberello, O Puolakka, A Dolatshah, J Monbaliu, A Toffoli

2022-07-01

Irregular, unidirectional surface water waves incident on model ice in an ice tank are used as a physical model of ocean surface w..

Rayleigh-Bloch waves above the cutoff

LG Bennetts, MA Peter

2022-06-10

Extensions of Rayleigh-Bloch waves above the cutoff frequency are studied via the discrete spectrum of a transfer operator for a c..

Sea ice-free corridors for large swell to reach Antarctic ice shelves

NJ Teder, LG Bennetts, PA Reid, RA Massom

2022-01-01

Sea ice can attenuate Southern Ocean swell before it reaches Antarctic ice shelves and imposes flexural stresses, which promote ca..

A physical model of wave attenuation in pancake ice

A Alberello, A Dolatshah, LG Bennetts, M Onorato, F Nelli, A Toffoli

2021-09-01

A physical model is discussed that mimics the interaction between ocean waves and a multitude of loose pancake ice floes, which fo..

A floe size dependent scattering model in two- and three-dimensions for wave attenuation by ice floes

MH Meylan, C Horvat, CM Bitz, LG Bennetts

2021-05-01

Two- and three-dimensional models are proposed for ocean-wave attenuation due to scattering by ice floes in the marginal ice zone,..

A transition-loss theory for waves reflected and transmitted by an overwashed body

DM Skene, LG Bennetts

2021-05-01

A transition-loss theory for waves reflected by an overwashed step and transmitted by an overwashed plate is presented. The theory..

Complex resonant ice shelf vibrations

LG Bennetts, MH Meylan

2021-01-01

The problem of ice shelf vibrations forced by incident waves from the open ocean is considered, using a linear hydroelastic model ..

A coupled fluid-elasticity model for the wave forcing of an ice-shelf

B Kalyanaraman, MH Meylan, LG Bennetts, BP Lamichhane

2020-08-01

A mathematical model for predicting the vibrations of ice-shelves based on linear elasticity for the ice-shelf motion and potentia..

Experimental realization of broadband control of water-wave-energy amplification in chirped arrays

AJ Archer, HA Wolgamot, J Orszaghova, LG Bennetts, MA Peter, RV Craster

2020-06-01

Water waves in natural environments are typically broadband, nonlinear, and dynamic phenomena. Taking concepts developed for slow ..