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)

New publications:

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.

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Research

Multiple scattering theory

Analytical and numerical methods in multiple scattering theory (slab-clustering method, multipole technique, order-of-scattering, Foldy's approximation).
Scattering by random arrays of cylindrical obstructions, directional spectrum of scattered wave fields, plane wave representation of cylindrical harmonics (integral representations of Bessel functions).
Development of efficient methods for the scattering of water waves by a rigid or elastic structure (eigenfunction matching, integral equations).

Polar marine modelling

Application of multiple scattering theory to ocean wave scattering by large fields of ice floes.
Attenuation of ocean wave propagation through the marginal ice zone and evolution of the directional spectrum.
Rheological models for wave attenuation in ice-covered seas.

Acoustics

Spectral methods for efficiently testing the performances of locally resonant structures
Application to design of sonic crystal barriers

Marine renewable energy

Performance of large arrays of wave energy converters and their effect on wave climate near shore

Research projects

Sea State and Boundary Layer Physics of the Emerging Arctic Ocean (2013-2017) funded by the Office of Naval Research
Targeted observation and process-informed modelling of Antarctic sea ice (2015-2019) funded by the Deep South National Science Challenge.

PhD students

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

thesis: Quantifying uncertainties of ocean wave attenuation in ice-covered seas.

Publications

Journal articles

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.
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, DOI:10.1029/2018JC013763.
Eggler, D., Chung, H., Montiel, F. Pan, J.and Kessissoglou, N. (2018). Active noise cloaking of 2D cylindrical shells. Wave Motion, DOI:10.1016/j.wavemoti.2018.08.006.
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, 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, 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.
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.

Recent talks and posters

American Geophysical Union 2013 Fall Meeting (poster). Evolution of a directional wave spectrum in a 3D marginal ice zone with random floe size distribution

PhD Thesis

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

Teaching

MATH160/102 (Calculus 1) - currently teaching full paper (semester 2, 2016).
COMO101 (Computational Mathematics) - taught 40% of the course (semester 2, 2013, 2014).
I am actively involved in the creation of video teaching material for university and high school Maths courses, as part of the online independent tutoring resource SeeTheSolutions.