Publications
For detailed information about the evolution of my publication record and associated metrics, please consult my Google Scholar profile. Open access versions (preprints, accepted versions etc.) are available either as part of public repositories, e.g. WRAP, or, where allowable, ResearchGate.
Up to this stage I have worked across three major research areas, with publications being encoded by area (first letter) and number (in chronological order), as [fX] Fluid mechanics, [aX] Computational acoustics and [iX] Industrial mathematics.
In the drop-down lists below all digital object identifiers (doi's) are links to the respective publications.
Fluid mechanics
Fluid mechanics (and in particular highly nonlinear interfacial flows) is my main research area at present. I started working on small scale electrohydrodynamics as part of my M.Sc. degree in Imperial and have continued being active in this field ever since [f1, f2, f3, f5, f10]. Starting with the late stages of my Ph.D. I have dedicated more and more resources towards high-speed flows and drop impact in particular [f6, f7, f8, f14, f15, f17, f19, f20, f21, f24], which led to fruitful collaborations as part of OCIAM in Oxford. Across all areas I have also nurtured my interests in mathematical modelling, asymptotic analysis and numerical solutions for differential equations [f4, f9, f11, f12, f16], with new research strands in topics such as control theory [f13, f18, f23, f25].
[f25] O.A. Holroyd, RC, S.N. Gomes, Stabilisation of falling liquid films with restricted observations, IEEE Proc. Eur. Control Conference 2024, 2574-2579, 2024. doi: 10.23919/ECC64448.2024.10591067.
[f24] B.D. Fudge, RC, A.A. Castrejón-Pita, Drop impact onto immiscible liquid films floating on pools, Scientific Reports 14, 13671, 2024. doi: 10.1038/s41598-024-62427-y.
[f23] O.A. Holroyd, RC, S.N. Gomes, Linear Quadratic Regulation Control for Falling Liquid Films, SIAM Journal of Applied Mathematics 84.3, 940-960, 2024. doi: 10.1137/23M1548475.
[f22] RC, A.A. Castrejón-Pita, L.N. Lim, M. Vatish, E.X. Georgiou, A new flow-based design for double-lumen needles, Journal of Biomechanics 160, 111832 1-8, 2023. doi: 10.1016/j.jbiomech.2023.111832. Linked to patent [p2] and ongoing interdisciplinary activities.
[f21] T.C. Sykes, RC, B.D. Fudge, J.R. Castrejón-Pita, A.A. Castrejón-Pita, Droplet impact dynamics on shallow pools, Journal of Fluid Mechanics 970, A34 1-12, 2023. doi: 10.1017/jfm.2023.622.
[f20] B.D. Fudge, RC, A. Antkowiak, J.R. Castrejón-Pita, A.A. Castrejón-Pita, Drop splashing after impact onto immiscible pools of different viscosities, Journal of Colloid and Interface Science 641, 585-594, 2023. doi: 10.1016/j.jcis.2023.03.040.
[f19] L.F.L. Alventosa, RC, D.M. Harris, Inertio-capillary rebound of a droplet impacting a fluid bath, Journal of Fluid Mechanics 958, A24 1-31, 2023. doi: 10.1017/jfm.2023.88 which also made the JFM Cover.
[f18] A.W. Wray, RC, S.N. Gomes, Electrostatic control of the Navier-Stokes equations for thin films, Phys. Rev. Fluids 7, L122001, 2022, doi: 10.1103/PhysRevFluids.7.L122001.
[f17] B.D. Fudge, RC, A.A. Castrejón-Pita, Dipping into a new pool: the interface dynamics of drops impacting onto a different liquid, Physical Review E 104 065102:1-10, doi: 10.1103/PhysRevE.104.065102.
[f16] M.P. Dalwadi, RC, H. Ockendon, J. Ockendon, T. Mullin, Levitation of a cylinder by a thin viscous film, Journal of Fluid Mechanics 917, A28 1-27, 2021. doi: 10.1017/jfm.2021.284 and Nature Research Highlight.
[f15] M.J. Negus, M.R. Moore, J.M. Oliver, RC, Droplet impact onto a spring-supported plate: analysis and simulations, Journal of Engineering Mathematics 128, 1-27, 2021, doi: 10.1007/s10665-021-10107-5.
[f14] C.A. Galeano-Rios, RC, I. Bauman, A. MacEwen, P.A. Milewski, D.M. Harris. Capillary-scale solid rebounds: Experiments, modelling and simulations, Journal of Fluid Mechanics 912 A17, 1-31, 2021, doi: 10.1017/jfm.2020.1135.
[f13] RC, S.N. Gomes, D.T. Papageorgiou, Active control of liquid film flows: beyond reduced-order models, Nonlinear Dynamics 104, 267-287, 2021, doi: 10.1007/s11071-021-06287-5.
[f12] C.J. Ojiako, RC, H.C. Hemaka Bandulasena, R. Smith, D. Tseluiko, Deformation and dewetting of liquid films under gas jets, Journal of Fluid Mechanics 905 A18, 1-38, 2020, doi: 10.1017/jfm.2020.751.
[f11] A.W. Wray, RC, Reduced-order modelling of thick inertial flows around rotating cylinders, Journal of Fluid Mechanics 898 A1, 1-33, 2020, doi: 10.1017/jfm.2020.421.
[f10] R.J. Tomlin, RC, D.T. Papageorgiou, Instabilities and dripping of electrified liquid films on inverted substrates, Phys. Rev. Fluids 5, 013703:1-34, 2020, doi: 10.1103/PhysRevFluids.5.013703 and APS Physics Synopsis.
[f9] A. Kalogirou, RC, M.G. Blyth, Asymptotic modelling and direct numerical simulations of multilayer pressure-driven flows, Eur. J. of Mech. - B/Fluids 80 195-205, 2020, doi: 10.1016/j.euromechflu.2019.10.011.
[f8] M.R. Moore, RC, H. Ockendon, J.R. Ockendon, J.M. Oliver, Boundary layers in Helmholtz flows, Journal of Fluid Mechanics 882 A19 1-20, 2020, doi: 10.1017/jfm.2019.832.
[f7] RC, M.R. Moore, Early-time jet formation in liquid-liquid impact problems: theory and simulations, Journal of Fluid Mechanics 856, 764-796, 2018, doi: 10.1017/jfm.2018.704.
[f6] RC, D.T. Papageorgiou, Three-dimensional high speed drop impact onto solid surfaces at arbitrary angles, Int. Journal of Multiphase Flow 107, 192-207, 2018, doi: 10.1016/j.ijmultiphaseflow.2018.06.011.
[f5] T.G. Anderson, RC, D.T. Papageorgiou, P.G. Petropoulos, Electric field stabilization of viscous liquid layers coating the underside of a surface, Phys. Rev. Fluids 054001, 2017, doi: 10.1103/PhysRevFluids.2.054001.
[f4] A. Kalogirou, RC, E.E Keaveny, D.T. Papageorgiou, Capturing nonlinear dynamics of two-fluid Couette flows with asymptotic models, Journal of Fluid Mechanics 806 (R1) 1-13, 2016, doi: 10.1017/jfm.2016.612.
[f3] RC, D.T. Papageorgiou, Electrostatically induced mixing in confined stratified multi-fluid systems, International Journal of Multiphase Flow 75, 194-204, 2015, doi: 10.1016/j.ijmultiphaseflow.2015.05.012.
[f2] RC, D.T. Papageorgiou, On the generation of nonlinear travelling waves in confined geometries using electric fields, Phil. Trans. (A) of the Royal Soc. 372 (2020), 2014, doi: 10.1098/rsta.2014.0066.
[f1] RC, D.T. Papageorgiou, P.G. Petropoulos, On the control and suppression of the Rayleigh-Taylor instability using electric fields, Physics of Fluids 26 (2), 2014, doi: 10.1063/1.4865674.
Computational acoustics
My first research experience consisted in mathematical modelling, numerical analysis and software engineering for HIFU (high-intensity focused ultrasound) therapies at Fraunhofer MeVis Bremen. Two full-time summer stints, as well as a part-time role within my final undergraduate year resulted in expertise in wave equations and a thesis on perfectly matched layer techniques. This knowledge has then been re-deployed and advanced for both acoustic and elastic waves in a collaboration with Prof. Matthias Heil and Anton Martinsson at the University of Manchester through a project supported by Thales Underwater Systems.
[a1] RC, A. Martinsson, M. Heil, A parameter-free perfectly matched layer formulation for the finite-element-based solution of the Helmholtz equation, J. Comp. Phys. 296, 329-347, 2015, doi: 10.1016/j.jcp.2015.05.006.
Industrial mathematics
This large-scale project was initiated following promising early progress at ESGI 93 Limerick. It resulted in a consultancy role facilitated by MACSI, as well as development of dedicated methodologies for port activity planning involving mathematical modelling, statistics and queueing theory:
[i2] RC, M.T. Devine, C. O’Brien, A simulation model for the management and expansion of extended port terminal operations, Transportation Research Part E 98 105-131, 2017, doi: 10.1016/j.tre.2016.12.005.
[i1] RC, M.T. Devine, D. Tocher, L. Clune, Development and analysis of a port terminal loader model at RUSAL Aughinish, Simulation Modelling Practice and Theory 51, 14-30, 2015, doi: 10.1016/j.simpat.2014.11.001.
I am also an active referee for a number of prestigious journals and grant awarding bodies, with details available on my Publons profile. Favourites include the Journal of Fluid Mechanics, Physical Review Fluids, Physics of Fluids, Nature Physics, Science Advances, Journal of Fluids and Structures and the International Journal of Multiphase Flow, as well as the Engineering and Physical Sciences Research Council.