## 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**:

- 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. - 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.

**Conference announcement**:

**KOZWaves 2018** will take place in Auckland, 12-14 February 2018. Check out our invited speakers line-up!

**Follow me on:**

### 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

- 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.
- 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.