Prof Simon Cox

BSc (Warwick) PhD (East Anglia)

Prof Simon Cox

Professor

Head of Department (Maths)

Contact Details

Profile

Simon graduated with a degree in Applied Mathematics from the University of Warwick in 1994. His PhD research at the University of East Anglia explored the effects of the large pressures generated by breaking waves, for example when they impact against coastal structures. Simon then moved to Trinity College Dublin where he investigated the Physics of Foams with Denis Weaire, firstly as a postdoctoral fellow with a Marie Curie award, and then as a temporary lecturer.

Teaching

Research

  • Foam Rheology: Solution of problems relating to the flow of foams. Numerical implementation of meso-scopic bubble-scale models using the Surface Evolver, quantifying the role of viscosity in the flow of complex fluids such as foams.
  • Foam Drainage: Use of analytical techniques, such as similarity solutions, and numerics to solve partial differential equations describing the viscous flow of liquid through a network of thin collapsible channels. Simple experiments on aqueous foams and soap films.
  • Simulation of Cellular Structures: Analysis of instabilities in small clusters of cells. Simulation of area-minimizing structures using the Surface Evolver. Analysis and visualisation of three-dimensional disordered structures.
  • Biological Morphology: Investigation of the morphology of echinoids (sea urchins) using an analogy with bubble formation. Application of the results of packing problems to infer details of the growth of biological systems such as flowers.
  • Pressure Impulse Theory: Analysis of pressures induced by breaking waves on coastal structures. Potential theory.

Research Groups

Publications

When is a surface foam-phobic or foam-philic?Teixeira, M. A. C., Arscott, S., Cox, S. & Teixeira, P. I. C. 2018 In : Soft Matter.
A viscous froth model adapted to wet foamsVitasari, D. & Cox, S. 2017 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.534, p. 8-158 p.
Curvature driven motion of a bubble in a toroidal Hele-Shaw cellMughal, A., Cox, S. & Schröder-Turk , G. E. 2017 In : Interface Focus.
Inferring cellular forces from image stacksVeldhuis, J. H., Ehsandar, A., Maître, J. L., Hiiragi, T., Cox, S. & Brodland, G. W. 2017 In : Philosophical Transactions of the Royal Society B: Biological Sciences.372, 1720, 20160261
Quasicrystalline three-dimensional foamsCox, S., Graner, F., Mosseri, R. & Sadoc, J-F. 2017 In : Journal of Physics: Condensed Matter.29, 11
Simulations of quasi-static foam flow through a diverging-converging channelCox, S. & Davies, I. T. 2016 In : Korea-Australia Rheology Journal.28, 3, p. 181-1866 p.
Rhaniad arwynebedd lleiaf silindr yn dair rhanDavies, T., Garratt, L. & Cox, S. 2015 In : Gwerddon.20, p. 30-4314 p.
Simulations of bubble division in the flow of a foam past an obstacle in a narrow channelCox, S. J. 2015 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.473, p. 104-1085 p.
Effect of Gas Diffusion on Mobility of Foam for Enhanced Oil RecoveryNonnekes, L. E., Cox, S. J. & Rossen, W. R. 2015 In : Transport in Porous Media.106, 3, p. 669-689
Stability of a helicoidal surface inside a cylinder with pinned diametersWhittaker, R. J. & Cox, S. 2015 In : Quarterly Journal of Mechanics and Applied Mathematics.68, 1, p. 23-5230 p.
What is the shape of an air bubble on a liquid surface?Teixeira, M. A. C., Arscott, S., Cox, S. J. & Teixeira, P. I. C. 2015 In : Langmuir.31, 51, p. 13708-13717
Analysis of a model for foam improved oil recoveryGrassia, P., Mas-Hernández, E., Shokri, N., Cox, S. J., Mishuris, G. & Rossen, W. R. 2014 In : Journal of Fluid Mechanics.751, p. 346-40560 p.
Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limitsDurand, M., Kraynik, A. M., Van Swol, F., Käfer, J., Quilliet, C., Cox, S., Ataei Talebi, S. & Graner, F. 2014 In : Physical Review E.89, 6, 062309
Instability of stretched and twisted soap films in a cylinderCox, S. J. & Jones, S. A. 2014 In : Journal of Engineering Mathematics.86, 1, p. 1-77 p.
The motion of a foam lamella traversing an idealised bi-conical pore with a rounded central regionFerguson, D. J. & Cox, S. J. 2013 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.438, p. 56-627 p.
Deformation of a free interface pierced by a tilted cylinder: Variation of the contact angleRaufaste, C. & Cox, S. 2013 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.438, p. 126-1316 p.
Visualizing 3D time-dependent foam simulation dataLipşa, D. R., Laramee, R. S., Cox, S. & Davies, I. T. 2013 Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Bebis, G., Boyle, R. & Parvin, B. (eds.). PART 1 ed.Springer Nature, Vol. 8033 LNCS, p. 255-26511 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 8033 LNCS, no. PART 1)
Methods for modelling food cellular structures and the relationship between microstructure and mechanical and rheological propertiesCox, S. J. 2013 Food microstructures: Microscopy, measurement and modelling. Morris, V. & Groves, K. (eds.). Elsevier, Vol. 254, p. 310-323 (Woodhead Publishing Series in Food Science, Technology and Nutrition)
Diffusion of curvature on a sheared semi-infinite filmSatomi, R., Grassia, P., Cox, S., Mishuris, G. & Lue, L. 2013 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.469, 2159
Foams: Structure and DynamicsCantat, I., Cohen-Addad, S., Elias, F., Graner, F., Höhler , R., Pitois, O., Rouyer, F., Saint-Jalmes, A., Cox, S. J. (ed.) & Flatman, R. (Translator) 2013 Oxford University Press.
Comparative study of non-invasive force and stress inference methods in tissueIshihara, S., Sugimura, K., Cox, S. J., Bonnet, I., Bellaiche, Y. & Graner, F. 2013 In : European Physical Journal E.36, 4, 13 p., ARTN 45
Reconstruction of tomographic images of dry aqueous foamsDavies, I. T., Cox, S. J. & Lambert, J. 2013 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.438, p. 33-408 p.
Visualizing the dynamics of two-dimensional foams with FoamVisCox, S. J., Lipşa, D. R., Davies, I. T. & Laramee, R. S. 2013 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.438, p. 28-325 p.
Are large perimeter-minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?Cox, S. J., Morgan, F. & Graner, F. 2013 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.469, 2149, 10 p., 20120392
Multiple states of finger propagation in partially occluded tubesHazel, A. L., Pailha, M., Cox, S. J. & Juel, A. 2013 In : Physics of Fluids.25, 6, 15 p., 062106
Structure-dependent mobility of a dry aqueous foam flowing along two parallel channelsJones, S. A., Dollet, B., Méheust, Y., Cox, S. J. & Cantat, I. 2013 In : Physics of Fluids.25, 6, 18 p., 063101
Effect of gas diffusion on mobility of foam for EORNonnekes, L. E., Cox, S. J. & Rossen, W. R. 2012 Proceedings - SPE Annual Technical Conference and Exhibition.Society of Petroleum Engineers, Vol. 5, p. 3499-350911 p.
Visualization for the Physical SciencesLipsa, D. R., Laramee, R. S., Cox, S. J., Roberts, J. C., Walker, R., Borkin, M. A. & Pfister, H. 2012 In : Computer Graphics Forum.31, 8, p. 2317-234731 p.
Deformation of a free interface pierced by a tilted cylinderCox, S., Celestini, F., Raufaste, C. & Kirstetter, G. 2012 In : EPL.99
On the effectiveness of a quasistatic bubble-scale simulation in predicting the constriction flow of a two-dimensional foamJones, S. A. & Cox, S. J. 2012 In : Journal of Rheology.56, 3, p. 457-47115 p.
Sphere motion in ordered three-dimensional foamsDavies, I. T. & Cox, S. 2012 In : Journal of Rheology.56, 3, p. 473-48311 p.
Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and TopologyDurand, M., Kafer, J., Quilliet, C., Cox, S. J., Ataei Talebi, S. & Graner, F. 2012 In : Physical Review Letters.107, 16, p. 168304-1683095 p.
FoamVis: Visualization of 2D Foam Simulation DataLipsa, D. R., Laramee, R. S., Cox, S. J. & Davies, I. T. 2011 In : IEEE Transactions on Visualization and Computer Graphics.17, 12, p. 2096-2105
Cyclic deformation of bidisperse two-dimensional foamsVaz, M. F., Cox, S. J. & Teixeira, P. I. C. 2011 In : Philosophical Magazine.91, 34, p. 4345-435612 p.
The transition from three-dimensional to two-dimensional foam structuresJones, S. A. & Cox, S. 2011 In : European Physical Journal E.
Characterisation, modification and mathematical modelling of sudsingCox, S., Ran, L., Garrett, P., Jones, S., Embley, B., Tong, M. & Grassia, P. 2011 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.382, 1-3, p. 50-578 p.
Two-dimensional constriction flows of foamsJones, S., Dollet, B., Slosse, N., Jiang, Y., Cox, S. & Graner, F. 2011 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.382, 1-3, p. 18-236 p.
Elastoplastic flow of a foam around an obstacleBoulogne, F. & Cox, S. J. 2011 In : Physical Review E.83, 4, 7 p., 041404
Simulation of defects in bubble clustersCox, S., Vaz, F. & Teixeira, P. I. C. 2010 In : Journal of Physics: Condensed Matter.22, p. 0-6510165102 p.
Sedimentation of an elliptical object in a two-dimensional foamDavies, I. T. & Cox, S. J. 2010 In : Journal of Non-Newtonian Fluid Mechanics.165, 13-14, p. 793-7997 p.
The minimal perimeter for N confined deformable bubbles of equal areaCox, S. J. & Flikkema, E. 2010 In : Electronic Journal of Combinatorics.17, R45
Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foamsRaufaste, C., Marmottant, P., Cox, S. & Graner, F. 2010 In : Physical Review E.81, 3
The Viscous Froth Model: steady states and the high-velocity limitCox, S. J., Mishuris, G. & Weaire, D. 2009 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.465, 2108, p. 2391-240515 p.
Effect of the number of shells on the pressure and energy of two-dimensional free bubble clustersVaz, M. F., Graner, F., Teixeira, P. I. T. & Cox, S. 2009 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.344, 1-3, p. 33-364 p.
Sedimenting discs in a two-dimensional foamDavies, I. T. & Cox, S. J. 2009 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.344, 1-3, p. 8-147 p.
Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphereCox, S. 2009
Detection of first-order liquid/liquid phase transitions in yttrium oxide-aluminium oxide meltsGreaves, G. N., Wilding, M. C., Fearn, S., Langstaff, D., Kargl, F., Cox, S., Van, Q. V., Majérus, O., Benmore, C. J., Weber, R., Martin, C. M. & Hennet, L. 2008 In : Science.322, 5901, p. 566-5705 p.
On the structure of quasi-two-dimensional foamsJaniaud, E. & Cox, S. J. 2008 In : Philosophical Magazine Letters.88, 9-10, p. 693-7019 p.
The dynamics of a topological change in a system of soap filmsHutzler, S., Saadatfar, M., van der Net, A., Weaire, D. & Cox, S. 2008 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.323, 1-3, p. 123-1319 p.
Simulations of two-dimensional foam rheology: Localization in linear Couette flow and the interaction of settling discsWyn, A., Davies, I. T. & Cox, S. J. 2008 In : European Physical Journal E.26, 1, p. 81-899 p.
Report on the British Society of Rheology mid-winter meeting on The Rheology of Foams and Emulsions, Royal School of Mines, Imperial College, London 10th - 11th December 2007Wilson, H. J., Cox, S. & Neethling, S. 2008 p. 93-953 p.
Remarks on the accuracy of algorithms for motion by mean curvature in bounded domainsCox, S. J. & Mishuris, G. 2008 In : Journal of Mechanics of Materials and Structures.4, 9, p. 1555–1572
Screening in dry two-dimensional foamsCox, S., Graner, F. & Vaz, M. F. 2008 In : Soft Matter.4, 9, p. 1871-18788 p., b802792g
Topological and geometrical disorder correlate robustly in two-dimensional foamsCox, S., Kafer, J., Rabaud, D., Quilliet, C., Graner, F. & Ataei Talebi, S. 2008 In : Philosophical Magazine Letters.88, 9-10, p. 651-660
Localization of Topological Changes in Couette and Poiseuille Flows of Two‐Dimensional FoamsCox, S. J. & Wyn, A. 2008 p. 836-838
Instabilities in two-dimensional flower and chain clusters of bubblesFortes, M. A., Vaz, M. F., Cox, S. & Teixeira, P. 2007 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.309, 1-3, p. 64-707 p.
Drainage induced convection rolls in foamsCox, S., Hutzler, S., Weaire, D. & Janiaud, E. 2007 In : Colloids and Surfaces A: Physicochemical and Engineering Aspects.309, 1-3, p. 33-375 p.
Simulations of Two-Dimensional Foam under Couette ShearCox, S. 2007
Yield drag in a two-dimensional foam flow around a circular obstacle: Effect of liquid fractionRaufaste, C., Dollet, B., Cox, S., Jiang, Y. & Graner, F. 2007 In : European Physical Journal E.23, 2, p. 217-22822 p.
Steady drainage in emulsions: corrections for surface Plateau borders and a model for high aqueous volume fractionCox, S., Weaire, D., Hutzler, S. & Peron, N. 2007 In : European Physical Journal E.22, 4, p. 341-35111 p.
Pre-empting Plateau: the nature of topological transitions in foamHutzler, S., van der Net, A., Weaire, D., Cox, S. & Janiaud, E. 2007 In : EPL.77, 2
Calculations of the minimal perimeter for N deformable cells of equal area confined in a circleCox, S. 2006 In : Philosophical Magazine Letters.86, 9, p. 569-57810 p.
The mixing of bubbles in two-dimensional bidisperse foams under extensional shearCox, S. 2006 In : Journal of Non-Newtonian Fluid Mechanics.137, 1-3, p. 39-457 p.
Shear modulus of two-dimensional foams: The effect of area dispersity and disorderCox, S. & Whittick, E. 2006 In : European Physical Journal E.21, 49-56, p. 49-568 p.
A viscous froth model for dry foams in the Surface EvolverCox, S. 2005 p. 81-899 p.
Three-dimensional bubble clusters: Shape, packing, and growth rateCox, S. & Graner, F. 2004 In : Physical Review E.69, 3
Topological changes in a two-dimensional foam clusterWeaire, D., Cox, S. & Vaz, M. F. 2003 In : European Physical Journal E.11, 1, p. 29-357 p.
The transition from two-dimensional to three-dimensional foam structuresWeaire, D., Cox, S. & Fátima Vaz, M. 2002 In : European Physical Journal E.7, 4, p. 311-3155 p.
Metallic foam processing from the liquid stateCox, S., Weaire, D. & Bradley, G. 2001 In : European Physical Journal Applied Physics.14, 2, p. 87-9711 p.
Frontiers of the physics of foamsWeaire, D., Verbist, G., Cox, S. J. & Hutzler, S. 2001 Proceedings of the First International Symposium. Schürmann, B. & Minster, O. (eds.). Paris: European Space Agency, p. 103-1086 p. (ESA SPECIAL PUBLICATIONS; vol. 454)