Fabien Montiel, Mathematics, University of Otago

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Dr Fabien Montiel

Office: Science III, room 514
Phone: 479-7760
Email: fmontiel@maths.otago.ac.nz

My research in 2 minutes (Science Media SAVVY)

News:

The special issue Fluids in New Zealand published in the Journal of the Royal Society of New Zealand, co-edited by Prof. Mathieu sellier, A/P. Geof Wilmott and myslef, is now completed. Check out our editorial.

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Research interests

Multiple scattering theory

Linear wave propagation in random or periodic media.

Approximation methods for partial differential equations

Eigenfunction matching techniques, Integral equation/Galerkin method, S-matrix method, multipole technique, Green's functions ...

Fluid/structure interactions

Hydroelasticity, locally resonant structutres, rainbow trapping, ...

Modelling

Ocean waves in the marginal ice zone, ocean transport, smart coastal technologies (breakwater, wave energy converters), sonic crystals, ...

Postgraduate students

Current

Yiming Ma (PhD, expected completion in 2022), co-supervised with A/P. Ting Wang.

project: Mathematical and statistical modeling of slow slip events.

Nicolas Mokus (PhD, expected completion in 2022).

project: Large scale modelling of wave-induced sea ice breakup in the marginal ice zone.

Ben Wilks (PhD, expected completion in 2023), co-supervised with A/P. Sarah Wakes.

project: Rainbow Trapping in Water Waves.

Aiden Pons (Master, expected completion in 2021).

project: Simulating ocean waves in the Ross Sea marginal ice zone using WaveWatch III.

Completed

Johannes Mosig (PhD, 2018), co-supervised with Prof. Vernon Squire.

thesis: Contemporary wave–ice interaction models.

Funded research projects

Current projects

How vulnerable are Antarctica's coasts to colonisation? (2021-2024), Marsden Fund project administered by Royal Society Te Apārangi.
Seasonal and Interdecadal variability of sea ice in the Ross Sea (2019-2025), NZ Government funded project as part of the Antarctic Science Platform (project 4).
Breaking the ice: process-informed modelling of sea ice erosion due to ocean wave interactions (2019-2022), Marsden Fast Start project administered by Royal Society Te Apārangi.

Past projects

Targeted observation and process-informed modelling of Antarctic sea ice (2015-2020) funded by the Deep South National Science Challenge.
Sea State and Boundary Layer Physics of the Emerging Arctic Ocean (2013-2017) funded by the Office of Naval Research.

Publications

Journal articles

Montiel, F. and Chung, H. (2020). Planar acoustic scattering by a multi-layered split ring resonator. Journal of the Acoustical Society of America, 148, 3698. DOI:10.1121/10.0002883.
Kohout, A.L., Smith, M., Roach, L.A., Williams, G, Montiel, F. and Williams, M.J.M. (2020). Observations of exponential wave attenuation in Antarctic sea ice during the PIPERS campaign. Annals of Glaciology, 61(82), 196–209. DOI:10.1017/aog.2020.36.
Mosig, J.E.M., Montiel, F. and Squire, V.A. (2019). A transport equation for flexural-gravity wave propagation under a sea ice cover of variable thickness. Wave Motion, 88, 153–166, DOI:10.1016/j.wavemoti.2019.03.010.
Eggler, D., Chung, H., Montiel, F. Pan, J.and Kessissoglou, N. (2019). Active noise cloaking of 2D cylindrical shells. Wave Motion, 87, 106–122. DOI:10.1016/j.wavemoti.2018.08.006.
Montiel, F., Squire, V.A., Doble, M., Thomson,J., Wadhams, P. (2018). Attenuation and directional spreading of ocean waves during a storm event in the autumn Beaufort Sea marginal ice zone. Journal of Geophysical Research: Oceans, 123, 5912–5932. DOI:10.1029/2018JC013763.
Thomson, J., Ackley, S., Girard‐Ardhuin, F., Ardhuin, F., Babanin, A., Boutin, G., Brozena, J. et al. (incl. Montiel, F.) (2018). Overview of the Arctic Sea State and Boundary Layer Physics Program. Journal of Geophysical Research: Oceans, 123, 8674–8687. DOI:10.1002/2018JC013766.
Cheng, S., Rogers, W.E., Thomson, J., Smith, M., Doble, M., Wadhams, P., Kohout, A.L., Lund, B., Persson, O., Collins III, C.O., Ackley, S., Montiel, F. and Shen, H.H. (2017). Calibrating a viscoelastic sea ice model for wave propagation in the Arctic fall marginal ice zone. Journal of Geophysical Research: Oceans, 122, 8770–8793. DOI:10.1002/2017JC013275.
Montiel, F. and Squire, V.A. (2017). Modelling wave-induced ice breakup in the marginal ice zone. Proceedings of the Royal Society A, 473, 20170258, DOI:10.1098/rspa.2017.0258.
Lee, C.M., Thomson, J., Cho, K.-H., Cole, S., Doble, M., Freitag, L., Graber, H. et al. (incl. Montiel, F.) (2017). An autonomous approach to observing the seasonal ice zone in the western arctic. Oceanography, 30, 56–58. DOI:10.5670/oceanog.2017.222.
Bennetts, L.G., Peter, M.A. and Montiel, F. (2017). Localisation of Rayleigh–Bloch waves and damping of resonant loads on arrays of vertical cylinders. Journal of Fluid Mechanics, 813, 508–527, DOI: 10.1017/jfm.2016.855.
Montiel, F., Chung, H., Karimi, M. and Kessissoglou, N. (2017). An analytical and numerical investigation of acoustic attenuation by a finite sonic crystal. Wave Motion, 70, 135–151, DOI: 10.1016/j.wavemoti.2016.12.002.
Mosig, J.E.M, Montiel, F. and Squire, V.A. (2017). Water wave scattering from a mass loading ice floe of random length using generalised polynomial chaos. Wave Motion, 70, 222–239, DOI: 10.1016/j.wavemoti.2016.09.005.
Squire, V.A. and Montiel, F. (2016). Evolution of directional wave spectra in the marginal ice zone: a new model tested with legacy data. Journal of Physical Oceanography, 46, 3121–3137. DOI: 10.1175/JPO-D-16-0118.1.
Montiel, F., Squire, V.A. and Bennetts, L.G. (2016). Attenuation and directional spreading of ocean waves in the marginal ice zone. Journal of Fluid Mechanics, 790, 492–522. DOI: http://dx.doi.org/10.1017/jfm.2016.21.
Mosig, J.E.M., Montiel, F. and Squire, V.A. (2015). Comparison of viscoelastic-type models for ocean wave attenuation in ice-covered seas. Journal of Geophysical Research: Oceans, 120, doi: http://dx.doi.org/10.1002/2015JC010881.
Montiel, F., Squire, V. A. and Bennetts, L. G. (2015). Evolution of directional wave spectra through finite regular and randomly-perturbed arrays of scatterers. SIAM Journal on Applied Mathematics, 75, 630–651. DOI: http://dx.doi.org/10.1137/140973906.
Montiel, F., Squire, V. A. and Bennetts, L. G. (2015). Reflection and transmission of ocean wave spectra by a band of randomly distributed ice floes. Annals of Glaciology: thematic issue on sea ice in a changing environment, 56(69), 315–322. DOI: https://doi.org/10.3189/2015AoG69A556.
Montiel, F., Bennetts, L. G., Squire, V. A., Bonnefoy, F. and Ferrant, P. (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.
Montiel, F., Bonnefoy, F., Ferrant, P., Bennetts, L. G., Squire, V. A. and Marsault, P. (2013). Hydroelastic response of floating elastic disks to regular waves. Part 1: Wave basin experiments. Journal of Fluid Mechanics, 723, 604–628. DOI: http://dx.doi.org/10.1017/jfm.2013.123.
Montiel, F., Bennetts, L. G. and Squire, V. A. (2012). The transient response of floating elastic plates to wavemaker forcing in two dimensions. Journal of Fluids and Structures, 28, 416–433. DOI: http://dx.doi.org/10.1016/j.jfluidstructs.2011.10.007.

Conference proceedings (refereed)

Eggler, D., Chung, H., Montiel, F., Pan, J. and Kessissoglou, N. (2017). Active cloaking of rigid and elastic cylindrical scatterers. Proceedings of Acoustics 2017, Perth, Australia.
Chung, H., Montiel, F., Karimi, M. and Kessissoglou, N. (2017). Acoustic pressure fields of 2D elastic circular cylinders. INTER-NOISE and NOISE-CON Congress and Conference Proceedings, Hong Kong, China, 4263–4269.
Mosig, J.E.M., Montiel, F. and Squire, V.A. (2017). On the transport of energy by surface flexural-gravity waves. Proceedings of the 32nd International Workshop on Water Waves and Floating Bodies, Dalian, China, 23–26.
Montiel, F. and Squire, V. A. (2015). Hydroelastic perspectives of ocean wave/sea ice connectivity II. Proceedings of the 7th International Conference on Hydroelasticity in Marine Technology, Split, Croatia.
Squire, V. A. and Montiel, F. (2015). Hydroelastic perspectives of ocean wave/sea ice connectivity I. Proceedings of the 7th International Conference on Hydroelasticity in Marine Technology, Split, Croatia.
Mosig, J.E.M., Montiel, F. and Squire, V.A. (2015). Rheological models of flexural-gravity waves in an ice covered ocean on large scales. Proceedings of the 7th International Conference on Hydroelasticity in Marine Technology, Split, Croatia.
Montiel, F. and Squire, V. A. (2015). Transmission of ocean waves through a row of randomly perturbed circular ice floes. Proceedings of the 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany.
Montiel, F., Squire, V. A. and Bennetts, L. G. (2014). Modelling the propagation of a directional wave spectrum in the marginal ice zone. In: Proceedings of the 22nd IAHR International Symposium on Ice, Singapore.
Montiel, F., Bonnefoy, F., Bennetts, L. G., Squire, V. A., Ferrant, P. and Marsault, P. (2011). Experimental validation of a linear numerical model for the water wave scattering by a compliant floating elastic disk. In: Proceedings of the 26th International Workshop on Water Waves and Floating Bodies, Athens, Greece, 117–120.

Non-refereed publications

Willmott, G., Sellier, M., Wilgar, C. and Montiel, F. (2021). Ka rere ngā mea katoa – everything flows. Journal of the Royal Society of New Zealand, 51, 187–193. DOI:10.1080/03036758.2021.1912120.
Montiel, F., Bennetts, L.G., Chung, H., Kessissoglou, N. & McPhedran, R. (2020). Theoretical and numerical advances in wave science (editorial), Wave Motion, 92, 102392. DOI:10.1016/j.wavemoti.2019.102392.

PhD thesis

Numerical and Experimental Analysis of Water Wave Scattering by Floating Elastic Plates (awarded in 2012 by the University of Otago).