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Refereed Journal Publications

[ Scopus and Google Scholar and Orcid list some publications.]

Complementary approximations to wave scattering by vertical barriers R. Porter & D.V. Evans, 1995, J. Fluid Mech, 294, 155-180. Hydrodynamic properties of an oscillating water column device D. V. Evans & R. Porter, 1995, Appl. Ocean Res., 17, 155-164. Wave scattering by periodic arrays of breakwaters. R. Porter & D. V. Evans, 1996, Wave Motion, 23, 97-120. Hydrodynamic characteristics of a thin rolling plate in finite depth of water. D. V. Evans & R. Porter, 1996, Appl. Ocean Res., 18, 215-228. Efficient calculation of hydrodynamic properties of OWC-type devices. D. V. Evans & R. Porter, 1997, J. Offshore Mech. & Artic Eng., 119(4), 210-218. Trapped modes about multiple cylinders in a channel. D. V. Evans & R. Porter, 1997, J. Fluid Mech., 339, 331-356. Near-trapping of water waves by circular arrays of vertical cylinders D. V. Evans & R. Porter, 1997, Appl. Ocean Res., 19, 83-89. Trapped modes embedded in the continuous spectrum. D. V. Evans & R. Porter, 1998, Quart. J. Mech. Appl. Math., 52(1), 263-274. Uniqueness and trapped modes for surface-piercing cylinders in oblique waves N. Kuznetsov, R. Porter, D. V. Evans and M. J. Simon, 1998, J. Fluid Mech., 365, 351-368. The trapping of surface waves by multiple submerged horizontal cylinders. R. Porter & D. V. Evans, 1998. J. Eng. Math., 34, 417-433. An example of non-uniqueness in the two-dimensional linear water-wave problem involving submerged cylinders. D. V. Evans & R. Porter, 1998, Proc. Roy. Soc. A, 454, 3145-3165. Trapping and Near-trapping by Arrays of Cylinders in Waves. D. V. Evans & R. Porter, 1999, J. Eng. Math., 35, 149-179 (Special Issue on Ocean Mechanics) Rayleigh-Bloch surface waves along periodic gratings and their connection with trapped modes in waveguides. R. Porter & D. V. Evans, 1999, J. Fluid Mech., 386, 233-258. Wave scattering by a step of arbitrary profile. R. Porter & D. Porter, 2000, J. Fluid Mech., 411, 131-164. Interaction of water waves with three-dimensional periodic topography R. Porter & D. Porter, 2001, J. Fluid Mech., 434, 301-335. Embedded trapped modes for obstacles in two-dimensional waveguides M. McIver, C.M. Linton, P. McIver, J. Zhang & R. Porter, 2001, Quart. J. Mech. Appl. Math., 54(2), 273-293. Trapping of waves by a submerged elliptical torus. M. McIver & R. Porter, 2002, J. Fluid Mech., 456, 277-293. Scattering of surface waves by submerged cylinders of arbitrary cross-section. R. Porter, 2002, Proc. Roy. Soc. A., 458, 581-606. Trapping of water waves by pairs of submerged cylinders. R. Porter, 2002, Proc. Roy. Soc. A., 458, 607-624. On the existence of embedded surface waves along periodic arrays of parallel plates. D.V. Evans & R. Porter, 2002, Quart. J. Mech. Appl. Math., 55(3), 481-494. Scattered and free waves over periodic beds R. Porter & D. Porter, 2003, J. Fluid Mech., 483, 129-163. Wave scattering by narrow cracks in ice sheets floating on water of finite depth D.V. Evans & R. Porter, 2003, J. Fluid Mech., 484, 143-165. Approximations to wave scattering by an ice sheet of variable thickness over undulating bed topography. D. Porter & R. Porter, 2004, J. Fluid Mech., 509, 145-179. Second-order sloshing over an arbitrary bed G.J.D. Chapman & R. Porter, 2005, J. Fluid Mech., 524, 331-355. Embedded Rayleigh-Bloch surface waves along periodic rectangular arrays R. Porter & D.V. Evans, 2005, Wave Motion, 43, 29-50. Scattering of flexural waves by multiple narrow cracks in ice sheets floating on water R. Porter & D.V. Evans, 2006, Wave Motion, 43(5), 425-443. Approximations to water wave scattering by steep topography. R. Porter & D. Porter, 2006, J. Fluid Mech., 562, 279-302. The linear wave response of a periodic array of floating elastic plates. C.D. Wang, M.H. Meylan & R. Porter, 2007, J. Eng. Maths., 57(1), 23-40. Diffraction of flexural waves by finite straight cracks in an elastic sheet over water. R. Porter & D.V. Evans, 2007, J. Fluids and Structures, 23(2), 309-327. Scattering by a semi-infinite periodic array and excitation of surface waves C.M. Linton, R. Porter & I. Thompson, 2007, SIAM J. Appl. Math., 67(5), 1233-1258. Penetration of flexural waves through a periodically constrained thin elastic plate in vacuo and floating on water. D.V. Evans & R. Porter, 2007, J. Eng. Maths., 58, 317-337. Wave-free motions of isolated bodies and the existence of motion trapped modes D.V. Evans & R. Porter, 2007, J. Fluid Mech., 584, 225-234. Trapped modes in thin elastic plates. R. Porter, 2007, Wave Motion, 45(1-2), 3-15. Flexural waves on a pinned semi-infinite thin elastic plate D. V. Evans & R. Porter, 2008, Wave Motion, 45, 745-757. Examples of trapped modes in the presence of freely-floating structures R. Porter & D. V. Evans, 2008, J. Fluid Mech., 606, 189-207. A new approximation method for scattering by long finite arrays I. Thompson, C.M. Linton & R. Porter, 2008, Quart J. Mech. Appl. Math., 61(3), 333-352. Wave trapping by floating circular cylinders R. Porter & D. V. Evans, 2009, J. Fluid Mech., 633, 311-325. The effect of submergence on the scattering by the interface between two semi-infinite sheets T. Williams & R. Porter, 2009, J. Fluids and Structures, 25(5), 777-793. Estimation of wall effects on floating cylinders R. Porter & D. V. Evans, 2011, J. Eng Math., 70(1-3), 191-204. Focusing of surface waves by variable bathymetry L.S. Griffiths & R. Porter, 2012, Appl. Ocean Res., 34, 150-163. Wave energy extraction by coupled resonant absorbers D.V. Evans & R. Porter, 2012, Phil. Trans. Roy Soc. 370 1959 315-344. The effect of slatted screens on waves S. Crowley & R. Porter, 2012, J. Eng. Math., 76(1), 33-57. An analysis of screen arrangements for a tuned liquid damper S. Crowley & R. Porter, 2012, J. Fluids and Structures, 34, 291-309. The effect on bending waves by defects in pinned elastic plates M. Smith, R. Porter & T. Williams, 2012, J. Sound. Vib., 331(23), 5087-5106. A submerged cylinder wave energy converter S. Crowley, R. Porter & D.V. Evans, 2013, J. Fluid Mech. 716, 566-596. Trapped modes due to narrow cracks in thin simply-supported elastic plates R. Porter & D.V. Evans, 2014, Wave Motion, 51, 533-546. Connections between potentials describing wave scattering by complementary arrangements of vertical barriers R. Porter & D.V. Evans, 2014, Quart. J. Mech. Appl. Math., 67(2), 175-192. A submerged cylinder wave energy converter with internal sloshing power take off S.H. Crowley, R. Porter & D.V. Evans, 2014, Euro. J. of Mech. B/Fluids, 47, 108-123. Cloaking of a vertical cylinder in waves using variable bathymetry R. Porter & J.N. Newman, 2014, J. Fluid Mech., 750, 124-143. Linearised water wave problems involving submerged horizontal plates R. Porter, 2015, Appl. Ocean Res. 50 91-109. Optimisation of arrays of flap-type oscillating wave surge converters I.F. Noad & R. Porter, 2015, Appl. Ocean Res., 50, 237-253. The motion of a freely-floating cylinder in the presence of a wall and the approximation of resonances P. McIver & R. Porter, 2016, J. Fluid Mech., 795, 581-610. Surface wave interaction with rigid plates lying on water R. Porter, 2016, Wave Motion, 66, 118-131. Total transmission of waves through narrow gaps in channels D.V. Evans & R. Porter, 2017, Quart. J. Mech. Appl. Math., 70(1), 87-101. Analysis of the effect of a cavity resonator on acoustic transmission in a waveguide R. Porter & D.V. Evans, 2017, J. Sound Vib., 408, 138-153. Modelling an articulated raft wave energy converter I.F. Noad & R. Porter, 2017, Renewable energy, 114, 1146-1159. Approximations to wave energy absorption by articulated rafts I.F. Noad & R. Porter, 2017, SIAM J. Appl. Math., 77(6), 2199-2223. Modelling of the WITT wave energy converter S.H. Crowley, R. Porter, D. Taunton & P. Wilson, 2018, Renewable Energy, 115, 159-174. Trapping of waves by thin floating ice sheets R. Porter, 2018, Quart. J. Mech. Appl. Math. https://doi.org/10.1093/qjmam/hby014 Transmission and absorption in a waveguide with a metamaterial cavity Aasim Ullah Jan & R. Porter, 2018, J. Acoust. Soc. Am., 144(6), 3172-3180. The coupling between ocean waves and rectangular ice sheets R. Porter, 2019, J. Fluids and Structures, 84, 171-181. An extended linear shallow water equation R. Porter, 2019 J. Fluid Mech., 876, 413-427. On the connection between step approximations and depth-averaged models for wave scattering by variable bathymetry R. Porter, 2020, Q. J. Mech. Appl. Math., 73(1), 84-100. Wave scattering by an array of metamaterial cylinders S. Zheng, R. Porter & D. Greaves, 2020 J. Fluid Mech., 903, A50. doi.org/10.1017/jfm.2020.660 Plate arrays as a perfectly-transmitting negative refraction metamaterial R. Porter, 2021, Wave Motion, 100, 102673. doi.org/10.1016/j.wavemoti.2020.102673 Modelling and design of a perfectly-absorbing wave energy converter R. Porter, 2021, Appl. Ocean Res., 113, 102724 doi.org/10.1016/j.apor.2021.102724 Extending limits for wave power absorption by axisymmetric devices R. Porter, S. Zheng & D. Greaves, 2021, J. Fluid Mech., 924, A39. doi.org/10.1017/jfm.2021.645 Shallow water theory for structured bathymetry C. Marangos & R. Porter, 2021, Proc. Roy. Soc. A., 477, 20210421. doi.org/10.1098/rspa.2021.0421 Scattering of surface waves by vertical truncated structured cylinders R. Porter, S. Zheng & H. Liang, 2022, Proc. Roy. Soc. A., 478, 20210824. doi.org/10.1098/rspa.2021.0824 Water wave scattering by a structured ridge on the sea bed R. Porter & C. Marangos, 2022, Ocean Eng., 256, 111451. doi.org/10.1016/j.oceaneng.2022.111451 Acoustics of a partially partitioned narrow slit connected to a half-plane: case study for exponential quasi-bound states in the continuum and their resonant excitation O. Schnitzer & R. Porter, 2022, SIAM J. Appl. Math. 82(4) 1387-1410 doi.org/10.1137/22M1470426 Modelling Autler-Townes splitting and acoustically induced transparency in a waveguide loaded with resonant channels R. Porter, K. Pham, & A. Maurel, 2022, Phys. Rev. B, 105, 134301. doi.org/10.1103/PhysRevB.105.134301 Wave power absorption by a metamaterial cylinder with internal paddle power take off system J. Huang & R. Porter, 2022, Appl. Ocean Res. 128 103315. doi.org/10.1016/j.apor.2022.103315 A Tuneable Electromagnetic Metagrating H. J. Putley, S. Guenneau, R. Porter & R.V. Craster, 2022, Proc. Roy. Soc. Lond. A 478 20220454. doi.org/10.1098/rspa.2022.0454 Water wave propagation through arrays of closely-spaced surface-piercing vertical barriers J. Huang & R. Porter, 2023, J. Fluid Mech. 960, A20, doi:10.1017/jfm.2023.207 A surface-piercing truncated cylindrical meta-structure operating as a wave energy converter J. Huang, R. Porter & S. Zheng, 2023, Physics of Fluids 35, 097116 doi:10.1063/5.0165068 Perfect resonant absoprtion of guided water waves by Autler-Townes splitting L.-P. Euvé, K. Pham, R. Porter, P. Petitjeans, V. Pagneux & A. Maurel, 2023, Phys. Rev. Lett. 131, 204002 doi.org/10.1103/PhysRevLett.131.204002 Scattering of water waves by multiple rows of thin vertical barriers J. Huang & R. Porter, 2024, Wave Motion 125, 103258 doi.org/10.1016/j.wavemoti.2023.103258 Wave power extraction from a large periodic array of hinged paddles J. Huang & R. Porter, 2023, Preprint Attenuation of long waves through regions of irregular floating ice and bathymetry L. Dafydd & R. Porter (submitted to J. Fluid Mech. Aug 2023) A thin plate approximation for ocean wave interactions with an ice shelf L.G. Bennetts, T. Williams & R. Porter (accepted J. Fluid Mech 2024)

Book Contributions

Complementary methods for scattering by thin barriers D.V. Evans & R. Porter, 1997, Chapter 1 of "Mathematical Techniques for Water Waves", Ed. B.N. Mandal, Computational Mechanics Publications, Southampton. Cloaking in Water Waves R. Porter, 2018, World Scientific Handbook of Metamaterials and Plasmonics, Vol. 2: Elastic, Acoustic, and Seismic Metamaterials (Editor: S.A. Maier, Volume Editors: R.V. Craster, S. Guenneau). World Scientific.

Technical Reports and Notes

The solution to water wave scattering and radiation problems involving semi-immersed circular cylinders R. Porter (2008) Calculation of the hydrodynamic coefficients for cylinders of rectangular cross-section oscillating in the free surface R. Porter (2008) Eigenfrequencies and eigenmodes for a thin rectangular elastic plate with free edges and F77 code eig.f R. Porter (2017) Approximation to acoustic wave scattering by a small aperture in a thin screen across a duct: three ways R. Porter (2017) Waves on a long string with side branches R. Porter (2018) Scattering in a waveguide with narrow side channels R. Porter (2018)

Miscellaneous

Proceedings of the 30th International Workshop on Water Waves and Floating Bodies, Bristol, UK (2015) Eds: R. Porter & J. Zang. Journal of Fluid Mechanics book review: ''Multiple Scattering'' by P.A. Martin, (2007) Ph.D Thesis (1995) Optimisation of Car Park Designs Report Author, European Study Group with Industry, Bristol, 2013. Wave energy absorption by a flap-type oscillating wave surge converter R. Porter & N.R.T. Biggs, (rejected by J. Fluid Mech. on grounds that it was too similar to a paper by Renzi & Dias that was under review at the same time.) An Analysis of Cricket Ball Swing using Computational Methods by Philip Eccleston, a 3rd year project student whom I supervised in 2017. This was all Philip's work and the only credit I take is in allowing Philip to work on this topic. However, the work deserves to be widely accessible as it includes new results and insight.

Refereed conference proceedings

Wave scattering by a periodic array of breakwaters R. Porter & D.V. Evans. Proc 10th International Workshop on Water Waves & Floating Bodies, Oxford. 1995. 197-200. On the optimal design of an oscillating water column device D.V. Evans, B.P. O'Gallachoir, R. Porter & G.P. Thomas. The 2nd European Wave Power Conference, Cork. 1996. 172-178. Efficient Calculation of Hydrodynamic Properties of OWC-Type Devices R. Porter & D.V. Evans Proceedings of the 15th International Conference on Offshore Mechanics and Arctic Engineering, June 16-20, 1996, Florence, Italy. Recent results on trapped modes and their influence on finite arrays of vertical cylinders in waves R. Porter & D.V. Evans. Proc 12th International Workshop on Water Waves & Floating Bodies, Marseille. 1997. 211-214. Prediction of resonances due to waves interacting with finite linear arrays of cylinders. R. Porter & D.V. Evans. Proc 13th International Workshop on Water Waves & Floating Bodies, Alphan aan der Rijn, The Netherlands. 1998. 127-130. Acoustic resonances about tube bundles in waveguides. R. Porter & D.V. Evans. IUTAM Symposium 2000/10: Diffraction and Scattering in Fluid Mechanics and Elasticity. Manchester, UK. Trapping of waves by a submerged elliptical torus. M. McIver & R. Porter. Proc 16th International Workshop on Water Waves & Floating Bodies, Japan. 2001. Sloshing modes in a cylindrical tank containing multiple cylinders R. Porter. Proc 17th International Workshop on Water Waves & Floating Bodies, Cambridge, UK. 2002 Scattering of flexural-gravity waves by multiple cracks in ice sheets floating on water of finite depth D.V. Evans & R. Porter. Proc 18th International Workshop on Water Waves & Floating Bodies, Le Croisic, France. 2003. Flexural-gravity wave diffraction by finite cracks of arbitrary shape in ice sheets R. Porter. Proc 19th International Workshop on Water Waves & Floating Bodies, Cortona, Italy. March 2004. Wave scattering by an ice sheet of variable thickness D. Porter & R. Porter. Proc 19th International Workshop on Water Waves & Floating Bodies, Cortona, Italy. March 2004. Free and forced oscillations to second order for two dimensional fluid motion in a tank with an arbitrary bed profile. G.J.D. Chapman & R. Porter. Proc 19th International Workshop on Water Waves & Floating Bodies, Cortona, Italy. March 2004. Scattering of obliquely-incident waves by submerged ridges G.J.D. Chapman & R. Porter. Proc 20th International Workshop on Water Waves & Floating Bodies, Lonyearbyen, Svalbard, Norway, June 2005. Approximations to wave scattering by steep topography D. Porter & R. Porter. Proc 21st International Workshop on Water Waves & Floating Bodies, Loughborough, UK, 2006. Wave diffraction by a periodically constrained elastic plate floating on water. D.V. Evans & R. Porter. Proc 21st International Workshop on Water Waves & Floating Bodies, Loughborough, UK, 2006. Edge waves along a semi-infinite thin elastic plate. R. Porter & D.V. Evans. Euromech 481: Recent advances in the theory and application of surface and edge waves. Keele, UK, 2007. Examples of motion trapped modes in two or three dimensions D.V. Evans & R. Porter. Proc 22nd International Workshop on Water Waves & Floating Bodies, Croatia, 2007. A new approximation method for scattering by large arrays I. Thompson, C.M. Linton & R. Porter. Proc 22nd International Workshop on Water Waves & Floating Bodies, Croatia, 2007. Wave propagation across ripple beds R. Porter, (in Minisymposium on waves in periodic and random media) Waves 2007, Reading, UK. Wave trapping by freely-floating circular cylinders D.V. Evans & R. Porter. Proc 23rd International Workshop on Water Waves & Floating Bodies, Korea, 2008. Estimation of wall effects on floating cylinders D.V. Evans & R. Porter. Proc 23rd International Workshop on Water Waves & Floating Bodies, Zelenogorsk, Russia, 2009. Wave focusing over submerged elliptical topography R. Porter & L.S. Griffiths. Proc 25th International Workshop on Water Waves & Floating Bodies, Harbin, China, 2010. Cloaking of a cylinder in waves R. Porter. Proc 26th International Workshop on Water Waves & Floating Bodies, Athens, Greece, 2011. Optimal screen arrangements for a tuned liquid damper S.H. Crowley & R. Porter. Proc 26th International Workshop on Water Waves & Floating Bodies, Athens, Greece, 2011. The new Bristol cylinder: a submerged cylinder wave energy converter S.H. Crowley, R. Porter & D.V. Evans. Proc 27th International Workshop on Water Waves & Floating Bodies, Copenhagen, Denmark, 2012. A novel connection between the Ursell and Dean vertical barrier potentials R. Porter & D.V. Evans Proc 28th International Workshop on Water Waves & Floating Bodies, Marseille, France, 2013. Transparency of Structures in Water Waves D.V. Evans, M. McIver & R. Porter Proc 29th International Workshop on Water Waves & Floating Bodies, Osaka, Japan, 2014. Wave Trapping and Radiation by Semi-immersed Circular Cylinders J.R. Chaplin & R. Porter Proc 29th International Workshop on Water Waves & Floating Bodies, Osaka, Japan, 2014. Total transmission through narrow gaps in channels D.V. Evans & R. Porter Proc 30th International Workshop on Water Waves & Floating Bodies, Bristol, 2015. A fully submerged flap-type wave energy converter I. Noad & R. Porter Proc 30th International Workshop on Water Waves & Floating Bodies, Bristol, 2015. Scattering of waves by thin floating plates R. Porter, Waves 2015 (The 12th International conference on mathematical and numerical aspects of wave propagation), Karlsruhe. Wave Energy Absorption by Submerged Flap-type Oscillating Wave Surge Converters I. Noad & R. Porter, 11th European Wave and Tidal Energy Conference, 2015, Nantes. Mathematical modelling of the WITT wave energy converters S.H. Crowley & R. Porter Proc 31st International Workshop on Water Waves & Floating Bodies, Michigan, 2016. Wave energy absorption by a shallow-draughted rectangular barge of oscillating water columns I. Noad & R. Porter, Proceedings of the 12th European Wave and Tidal Energy Conference, Cork, Ireland, 2017. Plate arrays as a water wave metamaterial R. Porter, Proc 33rd International Workshop on Water Waves & Floating Bodies, Guidel-Plages, 2018. Extraordinary transmission past cylinders in channels D.V. Evans, R. Porter & J.R. Chaplin, Proc 33rd International Workshop on Water Waves & Floating Bodies, Guidel-Plages, 2018. An extension to the linear shallow water equation R. Porter, Proc 34th International Workshop on Water Waves & Floating Bodies, Newcastle, Australia, 2019. Extending limits on wave power absorption by axisymmetric devices R. Porter, S. Zheng & D. Greaves, Proc 36th International Workshop on Water Waves & Floating Bodies, Seoul, South Korea, 2021.