Refereed Journal publications:

MathSciNet has some of the publications below listed on it

Complementary approximations to wave scattering by vertical barriers
R. Porter & D.V. Evans, 1995 Journal of Fluid Mechanics, 294, 155-180

Hydrodynamic properties of an oscillating water column device
D. V. Evans & R. Porter, 1995 Applied Ocean Research, 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, Applied Ocean Research 18, 215-228.

Efficient calculation of hydrodynamic properties of OWC-type devices.
D. V. Evans & R. Porter, 1997, Journal of Offshore Mechanics & Artic Engineering, 119(4), 210-218.

Trapped modes about multiple cylinders in a channel.
D. V. Evans & R. Porter, 1997, Journal of Fluid Mechanics 339, 331-356.

Near-trapping of water waves by circular arrays of vertical cylinders
D. V. Evans & R. Porter, 1997, Applied Ocean Research, 19, 83-89.

Trapped modes embedded in the continuous spectrum.
D. V. Evans & R. Porter, 1998, Q. 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. Maths 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. Lond. A 454 3145-3165.

Trapping and Near-trapping by Arrays of Cylinders in Waves.
D. V. Evans & R. Porter, 1999, J. Eng. Maths, 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. Maths 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 Lond A. 458, 581--606

Trapping of water waves by pairs of submerged cylinders.
R. Porter, 2002, Proc. Roy. Soc Lond 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, 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. (DOI: 10.1007/s10665-006-9128-0)

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. Mechanics and Appl. Mathematics, 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 Maths, 70(1-3) 191-204

Focusing of surface waves by variable bathymetry
L.S. Griffiths & R. Porter, 2012, Appl. Ocean Res. 34 150-163. doi:10.1016/j.apor.2011.08.00

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. Maths, 76(1), 33-57. doi:10.1007/s10665-011-9529-6

An analysis of screen arrangements for a tuned liquid damper
S. Crowley & R. Porter, 2012, Journal of Fluids and Structures, 34 291-309, doi:10.1016/j.jfluidstructs.2012.06.001

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, doi:10.1016/j.jsv.2012.06.013.

Wave energy absorption by a flap-type oscillating wave surge converter
R. Porter & N.R.T. Biggs, (submitted to J. Fluid Mech.)

A submerged cylinder wave energy converter
S. Crowley, R. Porter & D.V. Evans, (submitted to J. Fluid Mech.)

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.

Technical reports:

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)

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. (Website)

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. (Website)

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. (Website)

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.
(Website)

Sloshing modes in a cylindrical tank containing multiple cylinders
R. Porter. Proc 17th International Workshop on Water Waves & Floating Bodies, Cambridge, UK. 2002. (Website)

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. (Website)

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. (Website)

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. (Website)

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. (Website)

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. (Website)

Approximations to wave scattering by steep topography
D. Porter & R. Porter. Proc 21st International Workshop on Water Waves & Floating Bodies, Loughborough, UK, 2006.
(Website)

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. (Website)

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. (Website)

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. (Website)

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. (Website)

Wave propagation across ripple beds
R. Porter, (in Minisymposium on waves in periodic and random media) Waves 2007, Reading, UK. (Website)

Other publications

Journal of Fluid Mechanics book review: ''Multiple Scattering'' by P.A. Martin, (2007)

Ph.D Thesis (1995)
(Click to download postscript)