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

  • Mathematical Modelling of Structures, Solids and Fluids

Publications

Davies, IT, Cox, SJ & Lambert, J 2013, 'Reconstruction of tomographic images of dry aqueous foams' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 438, pp. 33-40. DOI: 10.1016/j.colsurfa.2013.01.051
Cox, SJ, Lipşa, DR, Davies, IT & Laramee, RS 2013, 'Visualizing the dynamics of two-dimensional foams with FoamVis' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 438, pp. 28-32. DOI: 10.1016/j.colsurfa.2013.01.029
Cox, SJ, Morgan, F & Graner, F 2013, 'Are large perimeter-minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?' Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol 469, no. 2149, 20120392. DOI: 10.1098/rspa.2012.0392
Hazel, AL, Pailha, M, Cox, SJ & Juel, A 2013, 'Multiple states of finger propagation in partially occluded tubes' Physics of Fluids, vol 25, no. 6, 062106. DOI: 10.1063/1.4811176
Jones, SA, Dollet, B, Méheust, Y, Cox, SJ & Cantat, I 2013, 'Structure-dependent mobility of a dry aqueous foam flowing along two parallel channels' Physics of Fluids, vol 25, no. 6, 063101. DOI: 10.1063/1.4811178
Nonnekes, LE, Cox, SJ & Rossen, WR 2012, Effect of gas diffusion on mobility of foam for EOR. in Proceedings - SPE Annual Technical Conference and Exhibition. vol. 5, Society of Petroleum Engineers, pp. 3499-3509, SPE Annual Technical Conference and Exhibition 2012: Unconventional Wisdom, ATCE 2012, San Antonio, TX, United States of America, 2012.
Lipsa, DR, Laramee, RS, Cox, SJ, Roberts, JC, Walker, R, Borkin, MA & Pfister, H 2012, 'Visualization for the Physical Sciences' Computer Graphics Forum, vol 31, no. 8, pp. 2317-2347. DOI: 10.1111/j.1467-8659.2012.03184.x
Cox, S, Celestini, F, Raufaste, C & Kirstetter, G 2012, 'Deformation of a free interface pierced by a tilted cylinder' EPL, vol 99. DOI: 10.1209/0295-5075/99/24001
Jones, SA & Cox, SJ 2012, 'On the effectiveness of a quasistatic bubble-scale simulation in predicting the constriction flow of a two-dimensional foam' Journal of Rheology, vol 56, no. 3, pp. 457-471. DOI: 10.1122/1.3687301
Davies, IT & Cox, S 2012, 'Sphere motion in ordered three-dimensional foams' Journal of Rheology, vol 56, no. 3, pp. 473-483. DOI: 10.1122/1.3687415
Durand, M, Kafer, J, Quilliet, C, Cox, SJ, Ataei Talebi, S & Graner, F 2012, 'Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology' Physical Review Letters, vol 107, no. 16, pp. 168304-168309. DOI: 10.1103/PhysRevLett.107.168304
Lipsa, DR, Laramee, RS, Cox, SJ & Davies, IT 2011, 'FoamVis: Visualization of 2D Foam Simulation Data' IEEE Transactions on Visualization and Computer Graphics, vol 17, no. 12, pp. 2096-2105. DOI: 10.1109/TVCG.2011.204
Vaz, MF, Cox, SJ & Teixeira, PIC 2011, 'Cyclic deformation of bidisperse two-dimensional foams' Philosophical Magazine, vol 91, no. 34, pp. 4345-4356. DOI: 10.1080/14786435.2011.620995
Jones, SA & Cox, S 2011, 'The transition from three-dimensional to two-dimensional foam structures' European Physical Journal E.
Cox, S, Ran, L, Garrett, P, Jones, S, Embley, B, Tong, M & Grassia, P 2011, 'Characterisation, modification and mathematical modelling of sudsing' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 382, no. 1-3, pp. 50-57. DOI: 10.1016/j.colsurfa.2010.11.028
Jones, S, Dollet, B, Slosse, N, Jiang, Y, Cox, S & Graner, F 2011, 'Two-dimensional constriction flows of foams' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 382, no. 1-3, pp. 18-23. DOI: 10.1016/j.colsurfa.2010.11.054
Boulogne, F & Cox, SJ 2011, 'Elastoplastic flow of a foam around an obstacle' Physical Review E, vol 83, no. 4, 041404. DOI: 10.1103/PhysRevE.83.041404
Cox, S, Vaz, F & Teixeira, PIC 2010, 'Simulation of defects in bubble clusters' Journal of Physics: Condensed Matter, vol 22, pp. 0-65101. DOI: 10.1088/0953-8984/22/6/065101
Davies, IT & Cox, SJ 2010, 'Sedimentation of an elliptical object in a two-dimensional foam' Journal of Non-Newtonian Fluid Mechanics, vol 165, no. 13-14, pp. 793-799. DOI: 10.1016/j.jnnfm.2010.04.005
Cox, SJ & Flikkema, E 2010, 'The minimal perimeter for N confined deformable bubbles of equal area' Electronic Journal of Combinatorics, vol 17, R45.
Raufaste, C, Marmottant, P, Cox, S & Graner, F 2010, 'Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foams' Physical Review E, vol 81, no. 3. DOI: 10.1103/PhysRevE.81.031404
Cox, SJ, Mishuris, G & Weaire, D 2009, 'The Viscous Froth Model: steady states and the high-velocity limit' Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol 465, no. 2108, pp. 2391-2405. DOI: 10.1098/rspa.2009.0057
Vaz, MF, Graner, F, Teixeira, PIT & Cox, S 2009, 'Effect of the number of shells on the pressure and energy of two-dimensional free bubble clusters' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 344, no. 1-3, pp. 33-36. DOI: 10.1016/j.colsurfa.2009.01.007
Davies, IT & Cox, SJ 2009, 'Sedimenting discs in a two-dimensional foam' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 344, no. 1-3, pp. 8-14. DOI: 10.1016/j.colsurfa.2008.11.056
Cox, S 2009 'Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere'.
Greaves, GN, Wilding, MC, Fearn, S, Langstaff, D, Kargl, F, Cox, S, Van, QV, Majérus, O, Benmore, CJ, Weber, R, Martin, CM & Hennet, L 2008, 'Detection of first-order liquid/liquid phase transitions in yttrium oxide-aluminium oxide melts' Science, vol 322, no. 5901, pp. 566-570. DOI: 10.1126/science.1160766
Janiaud, E & Cox, SJ 2008, 'On the structure of quasi-two-dimensional foams' Philosophical Magazine Letters, vol 88, no. 9-10, pp. 693-701. DOI: 10.1080/09500830802068508
Hutzler, S, Saadatfar, M, van der Net, A, Weaire, D & Cox, S 2008, 'The dynamics of a topological change in a system of soap films' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 323, no. 1-3, pp. 123-131. DOI: 10.1016/j.colsurfa.2007.11.060
Wyn, A, Davies, IT & Cox, SJ 2008, 'Simulations of two-dimensional foam rheology: Localization in linear Couette flow and the interaction of settling discs' European Physical Journal E, vol 26, no. 1, pp. 81-89. DOI: 10.1140/epje/i2007-10286-0
Wilson, HJ, Cox, S & Neethling, S 2008, '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 2007' pp. 93-95.
Cox, SJ & Mishuris, G 2008, 'Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains' Journal of Mechanics of Materials and Structures, vol 4, no. 9, pp. 1555–1572. DOI: 10.2140/jomms.2009.4.1555
Cox, S, Graner, F & Vaz, MF 2008, 'Screening in dry two-dimensional foams' Soft Matter, vol 4, no. 9, b802792g, pp. 1871-1878. DOI: 10.1039/b802792g
Cox, S, Kafer, J, Rabaud, D, Quilliet, C, Graner, F & Ataei Talebi, S 2008, 'Topological and geometrical disorder correlate robustly in two-dimensional foams' Philosophical Magazine Letters, vol 88, no. 9-10, pp. 651-660. DOI: 10.1080/09500830802334249
Cox, SJ & Wyn, A 2008, 'Localization of Topological Changes in Couette and Poiseuille Flows of Two‐Dimensional Foams' pp. 836-838. DOI: 10.1063/1.2964864
Fortes, MA, Vaz, MF, Cox, S & Teixeira, P 2007, 'Instabilities in two-dimensional flower and chain clusters of bubbles' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 309, no. 1-3, pp. 64-70. DOI: 10.1016/j.colsurfa.2007.02.039
Cox, S, Hutzler, S, Weaire, D & Janiaud, E 2007, 'Drainage induced convection rolls in foams' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 309, no. 1-3, pp. 33-37. DOI: 10.1016/j.colsurfa.2006.10.075
Cox, SSimulations of Two-Dimensional Foam under Couette Shear.
Raufaste, C, Dollet, B, Cox, S, Jiang, Y & Graner, F 2007, 'Yield drag in a two-dimensional foam flow around a circular obstacle: Effect of liquid fraction' European Physical Journal E, vol 23, no. 2, pp. 217-228. DOI: 10.1140/epje/i2006-10178-9
Cox, S, Weaire, D, Hutzler, S & Peron, N 2007, 'Steady drainage in emulsions: corrections for surface Plateau borders and a model for high aqueous volume fraction' European Physical Journal E, vol 22, no. 4, pp. 341-351. DOI: 10.1140/epje/e2007-00043-8
Hutzler, S, van der Net, A, Weaire, D, Cox, S & Janiaud, E 2007, 'Pre-empting Plateau: the nature of topological transitions in foam' EPL, vol 77, no. 2. DOI: 10.1209/0295-5075/77/28002
Vitasari, D & Cox, S 2017, 'A viscous froth model adapted to wet foams' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 534, pp. 8-15. DOI: 10.1016/j.colsurfa.2017.04.064
Mughal, A, Cox, S & Schröder-Turk , GE 2017, 'Curvature driven motion of a bubble in a toroidal Hele-Shaw cell' Interface Focus. DOI: 10.1098/rsfs.2016.0106
Veldhuis, JH, Ehsandar, A, Maître, JL, Hiiragi, T, Cox, S & Brodland, GW 2017, 'Inferring cellular forces from image stacks' Philosophical Transactions of the Royal Society B: Biological Sciences, vol 372, no. 1720, 20160261. DOI: 10.1098/rstb.2016.0261
Cox, S, Graner, F, Mosseri, R & Sadoc, J-F 2017, 'Quasicrystalline three-dimensional foams' Journal of Physics: Condensed Matter, vol 29, no. 11. DOI: 10.1088/1361-648X/aa5712
Cox, S & Davies, IT 2016, 'Simulations of quasi-static foam flow through a diverging-converging channel' Korea-Australia Rheology Journal, vol 28, no. 3, pp. 181-186. DOI: 10.1007/s13367-016-0018-3
Davies, T, Garratt, L & Cox, S 2015, 'Rhaniad arwynebedd lleiaf silindr yn dair rhan' Gwerddon, no. 20, pp. 30-43.
Cox, SJ 2015, 'Simulations of bubble division in the flow of a foam past an obstacle in a narrow channel' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 473, pp. 104-108. DOI: 10.1016/j.colsurfa.2014.10.038
Nonnekes, LE, Cox, SJ & Rossen, WR 2015, 'Effect of Gas Diffusion on Mobility of Foam for Enhanced Oil Recovery' Transport in Porous Media, vol 106, no. 3, pp. 669-689. DOI: 10.1007/s11242-014-0419-z
Whittaker, RJ & Cox, S 2015, 'Stability of a helicoidal surface inside a cylinder with pinned diameters' Quarterly Journal of Mechanics and Applied Mathematics, vol 68, no. 1, pp. 23-52. DOI: 10.1093/qjmam/hbu026
Teixeira, MAC, Arscott, S, Cox, SJ & Teixeira, PIC 2015, 'What is the shape of an air bubble on a liquid surface?' Langmuir, vol 31, no. 51, pp. 13708-13717. DOI: 10.1021/acs.langmuir.5b03970
Grassia, P, Mas-Hernández, E, Shokri, N, Cox, SJ, Mishuris, G & Rossen, WR 2014, 'Analysis of a model for foam improved oil recovery' Journal of Fluid Mechanics, vol 751, pp. 346-405. DOI: 10.1017/jfm.2014.287
Durand, M, Kraynik, AM, Van Swol, F, Käfer, J, Quilliet, C, Cox, S, Ataei Talebi, S & Graner, F 2014, 'Statistical mechanics of two-dimensional shuffled foams: Geometry-topology correlation in small or large disorder limits' Physical Review E, vol 89, no. 6, 062309. DOI: 10.1103/PhysRevE.89.062309
Cox, SJ & Jones, SA 2014, 'Instability of stretched and twisted soap films in a cylinder' Journal of Engineering Mathematics, vol 86, no. 1, pp. 1-7. DOI: 10.1007/s10665-013-9657-2
Ferguson, DJ & Cox, SJ 2013, 'The motion of a foam lamella traversing an idealised bi-conical pore with a rounded central region' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 438, pp. 56-62. DOI: 10.1016/j.colsurfa.2013.02.015
Raufaste, C & Cox, S 2013, 'Deformation of a free interface pierced by a tilted cylinder: Variation of the contact angle' Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol 438, pp. 126-131. DOI: 10.1016/j.colsurfa.2012.12.030
Lipşa, DR, Laramee, RS, Cox, S & Davies, IT 2013, Visualizing 3D time-dependent foam simulation data. in G Bebis, R Boyle & B Parvin (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 edn, vol. 8033 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 8033 LNCS, Springer Nature, pp. 255-265, 9th International Symposium on Advances in Visual Computing, ISVC 2013, Rethymnon, Crete, United Kingdom of Great Britain and Northern Ireland, 2013. DOI: 10.1007/978-3-642-41914-0_26
Cox, SJ 2013, Methods for modelling food cellular structures and the relationship between microstructure and mechanical and rheological properties. in V Morris & K Groves (eds), Food microstructures: Microscopy, measurement and modelling. vol. 254, Woodhead Publishing Series in Food Science, Technology and Nutrition, Elsevier, pp. 310-323.
Satomi, R, Grassia, P, Cox, S, Mishuris, G & Lue, L 2013, 'Diffusion of curvature on a sheared semi-infinite film' Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol 469, no. 2159. DOI: 10.1098/rspa.2013.0359
Cantat, I, Cohen-Addad, S, Elias, F, Graner, F, Höhler , R, Pitois, O, Rouyer, F, Saint-Jalmes, A, Cox, SJ (ed.) 2013, Foams: Structure and Dynamics. translated by Ruth Flatman, Oxford University Press.
Ishihara, S, Sugimura, K, Cox, SJ, Bonnet, I, Bellaiche, Y & Graner, F 2013, 'Comparative study of non-invasive force and stress inference methods in tissue' European Physical Journal E, vol 36, no. 4, ARTN 45. DOI: 10.1140/epje/i2013-13045-8
Cox, S 2006, 'Calculations of the minimal perimeter for N deformable cells of equal area confined in a circle' Philosophical Magazine Letters, vol 86, no. 9, pp. 569-578. DOI: 10.1080/09500830600929083
Cox, S 2006, 'The mixing of bubbles in two-dimensional bidisperse foams under extensional shear' Journal of Non-Newtonian Fluid Mechanics, vol 137, no. 1-3, pp. 39-45. DOI: 10.1016/j.jnnfm.2006.02.005
Cox, S & Whittick, E 2006, 'Shear modulus of two-dimensional foams: The effect of area dispersity and disorder' European Physical Journal E, vol 21, no. 49-56, pp. 49-56. DOI: 10.1140/epje/i2006-10044-x
Cox, S 2005, 'A viscous froth model for dry foams in the Surface Evolver' pp. 81-89. DOI: 10.1016/j.colsurfa.2004.12.061
Cox, S & Graner, F 2004, 'Three-dimensional bubble clusters: Shape, packing, and growth rate' Physical Review E, vol 69, no. 3. DOI: 10.1103/PhysRevE.69.031409
Weaire, D, Cox, S & Vaz, MF 2003, 'Topological changes in a two-dimensional foam cluster' European Physical Journal E, vol 11, no. 1, pp. 29-35. DOI: 10.1140/epje/i2002-10126-9
Weaire, D, Cox, S & Fátima Vaz, M 2002, 'The transition from two-dimensional to three-dimensional foam structures' European Physical Journal E, vol 7, no. 4, pp. 311-315. DOI: 10.1140/epje/i2001-10099-1
Cox, S, Weaire, D & Bradley, G 2001, 'Metallic foam processing from the liquid state' European Physical Journal Applied Physics, vol 14, no. 2, pp. 87-97. DOI: 10.1051/epjap:2001141
Weaire, D, Verbist, G, Cox, SJ & Hutzler, S 2001, Frontiers of the physics of foams. in B Schürmann & O Minster (eds), Proceedings of the First International Symposium. ESA SPECIAL PUBLICATIONS, vol. 454, European Space Agency, Paris, pp. 103-108, 1st International Symposium on Microgravity Research and Applications in Physical Sciences and Biotechnology, Sorrento, Italy, 2000.