Dr Steven Roper

  • Senior Lecturer (Mathematics)

telephone: 01413306535
email: Steven.Roper@glasgow.ac.uk

Room 413, Mathematics and Statistics, Mathematics and Statistics Building, University Place, Glasgow, G12 8QQ

Import to contacts

ORCID iDhttps://orcid.org/0000-0002-4771-1577

Research interests

My research interests are in solid mechanics, fluid mechanics, and the mathematics of materials science and soft tissue damage. Of particular interest are the behaviour of fluid filled cracks, phase transformations and the growth of solids, the evolution of mushy layers, porous media flow, foams, non-equilibrium thermodynamics and the thermomechanics of phase boundaries (especially involving finite elasticity). I use mathematical and computational techniques to study these systems.

I am also interested in general in numerical methods for partial differential equations, optimal transportation theory, computational geometry (generalised voronoi diagrams and their applications). I am also interested in rational mechanics and thermodynamics and problems involving differential geometry.

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2022 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2011 | 2010 | 2008 | 2007 | 2005
Number of items: 21.

2024

Buze, M., Feydy, J., Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Sedighiani, K. and Bourne, D.P. (2024) Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport. Computational Materials Science, 245, 113317. (doi: 10.1016/j.commatsci.2024.113317)

2023

Bourne, D.P., Pearce, M. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport. Mechanics Research Communications, 127, 104023. (doi: 10.1016/j.mechrescom.2022.104023)

2022

Egan, C.P., Bourne, D.P., Cotter, C.J., Cullen, M.J.P., Pelloni, B., Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Wilkinson, M. (2022) A new implementation of the geometric method for solving the Eady slice equations. Journal of Computational Physics, 469, 111542. (doi: 10.1016/j.jcp.2022.111542)

2020

Bourne, D.P., Kok, P.J.J., Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes. Philosophical Magazine, 100(21), pp. 2677-2707. (doi: 10.1080/14786435.2020.1790053)

2019

Li, Beibei, Roper, Steven M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Wang, Lei, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78(5), pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8) (PMID:30456652) (PMCID:PMC6453878)

2018

Wang, Lei, Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Roper, Steven M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109(1), pp. 227-238. (doi: 10.1007/s10665-017-9948-0)

2017

Wang, Lei, Roper, Steve M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Hill, Nick A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi: 10.1007/s10237-016-0806-1) (PMID:27395061)

2016

Hao, Yujue, Cai, Zongxi, Roper, Steven ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel. International Journal of Applied Mechanics, 8(6), 1650073. (doi: 10.1142/S1758825116500733)

2015

Bourne, D.P. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53(6), pp. 2545-2569. (doi: 10.1137/141000993)

Wang, Lei, Roper, Steven M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95(1), pp. 249-265. (doi: 10.1007/s10665-014-9757-7)

2014

Bourne, D.P., Peletier, M. A. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74(5), pp. 1315-1337. (doi: 10.1137/130922732)

2013

Brown, R.W. ORCID logoORCID: https://orcid.org/0000-0002-0763-3711, Beucher, R., Roper, S. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Persano, C. ORCID logoORCID: https://orcid.org/0000-0001-6437-1511, Stuart, F. ORCID logoORCID: https://orcid.org/0000-0002-6395-7868 and Fitzgerald, P. (2013) Natural age dispersion arising from the analysis of broken crystals, part I. Theoretical basis and implications for the apatite (U-Th)/He thermochronometer. Geochimica et Cosmochimica Acta, 122, pp. 478-497. (doi: 10.1016/j.gca.2013.05.041)

Beucher, Romain, Brown, Roderick W. ORCID logoORCID: https://orcid.org/0000-0002-0763-3711, Roper, Steven ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Stuart, Fin ORCID logoORCID: https://orcid.org/0000-0002-6395-7868 and Persano, Cristina ORCID logoORCID: https://orcid.org/0000-0001-6437-1511 (2013) Natural age dispersion arising from the analysis of broken crystals, part II. Practical application to apatite (U-Th)/He thermochronometry. Geochimica et Cosmochimica Acta, 120, pp. 395-416. (doi: 10.1016/j.gca.2013.05.042)

2011

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H. and Voorhees, P.W. (2011) Localisation of convection in mushy layers by weak background flow. Journal of Fluid Mechanics, 675, pp. 518-528. (doi: 10.1017/jfm.2011.117)

2010

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Anderson, A.M., Davis, S.H. and Voorhees, P.W. (2010) Radius selection and droplet unpinning in vapor-liquid-solid-grown nanowires. Journal of Applied Physics, 107(11), p. 114320. (doi: 10.1063/1.3434403)

2008

Brush, L.B. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2008) The thinning of lamellae in surfactant-free foams with non-Newtonian liquid phase. Journal of Fluid Mechanics, 616, pp. 235-262. (doi: 10.1017/S0022112008003790)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H. and Voorhees, P.W. (2008) An analysis of convection in a mushy layer with a deformable permeable interface. Journal of Fluid Mechanics, 596, pp. 333-352. (doi: 10.1017/S0022112007009469)

2007

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H., Norris, S.A., Golovin, A.A., Vorhees, P.W. and Weiss, M. (2007) Steady growth of nanowires via the vapor-liquid-solid method. Journal of Applied Physics, 102(3), 034304. (doi: 10.1063/1.2761836)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H. and Voorhees, P.W. (2007) Convection in a mushy zone forced by sidewall heat losses. Metallurgical and Materials Transactions A, 38(5), pp. 1069-1079. (doi: 10.1007/s11661-007-9119-4)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Lister, J.R. (2007) Buoyancy-driven crack propagation: the limit of large fracture toughness. Journal of Fluid Mechanics, 580, pp. 359-380. (doi: 10.1017/S0022112007005472)

2005

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Lister, J.R. (2005) Buoyancy-driven crack propagation from an over-pressured source. Journal of Fluid Mechanics, 536, pp. 79-98. (doi: 10.1017/S0022112005004337)

This list was generated on Sun Jun 15 14:42:40 2025 BST.
Jump to: Articles
Number of items: 21.

Articles

Buze, M., Feydy, J., Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Sedighiani, K. and Bourne, D.P. (2024) Anisotropic power diagrams for polycrystal modelling: efficient generation of curved grains via optimal transport. Computational Materials Science, 245, 113317. (doi: 10.1016/j.commatsci.2024.113317)

Bourne, D.P., Pearce, M. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2023) Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport. Mechanics Research Communications, 127, 104023. (doi: 10.1016/j.mechrescom.2022.104023)

Egan, C.P., Bourne, D.P., Cotter, C.J., Cullen, M.J.P., Pelloni, B., Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Wilkinson, M. (2022) A new implementation of the geometric method for solving the Eady slice equations. Journal of Computational Physics, 469, 111542. (doi: 10.1016/j.jcp.2022.111542)

Bourne, D.P., Kok, P.J.J., Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Spanjer, W.D.T. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes. Philosophical Magazine, 100(21), pp. 2677-2707. (doi: 10.1080/14786435.2020.1790053)

Li, Beibei, Roper, Steven M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Wang, Lei, Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78(5), pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8) (PMID:30456652) (PMCID:PMC6453878)

Wang, Lei, Hill, Nicholas A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X, Roper, Steven M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109(1), pp. 227-238. (doi: 10.1007/s10665-017-9948-0)

Wang, Lei, Roper, Steve M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Hill, Nick A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi: 10.1007/s10237-016-0806-1) (PMID:27395061)

Hao, Yujue, Cai, Zongxi, Roper, Steven ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Luo, Xiaoyu ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel. International Journal of Applied Mechanics, 8(6), 1650073. (doi: 10.1142/S1758825116500733)

Bourne, D.P. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2015) Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems. SIAM: Journal on Numerical Analysis, 53(6), pp. 2545-2569. (doi: 10.1137/141000993)

Wang, Lei, Roper, Steven M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Luo, X.Y. ORCID logoORCID: https://orcid.org/0000-0002-8753-4210 and Hill, N.A. ORCID logoORCID: https://orcid.org/0000-0003-3079-828X (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95(1), pp. 249-265. (doi: 10.1007/s10665-014-9757-7)

Bourne, D.P., Peletier, M. A. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2014) Hexagonal patterns in a simplified model for block copolymers. SIAM Journal on Applied Mathematics, 74(5), pp. 1315-1337. (doi: 10.1137/130922732)

Brown, R.W. ORCID logoORCID: https://orcid.org/0000-0002-0763-3711, Beucher, R., Roper, S. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Persano, C. ORCID logoORCID: https://orcid.org/0000-0001-6437-1511, Stuart, F. ORCID logoORCID: https://orcid.org/0000-0002-6395-7868 and Fitzgerald, P. (2013) Natural age dispersion arising from the analysis of broken crystals, part I. Theoretical basis and implications for the apatite (U-Th)/He thermochronometer. Geochimica et Cosmochimica Acta, 122, pp. 478-497. (doi: 10.1016/j.gca.2013.05.041)

Beucher, Romain, Brown, Roderick W. ORCID logoORCID: https://orcid.org/0000-0002-0763-3711, Roper, Steven ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Stuart, Fin ORCID logoORCID: https://orcid.org/0000-0002-6395-7868 and Persano, Cristina ORCID logoORCID: https://orcid.org/0000-0001-6437-1511 (2013) Natural age dispersion arising from the analysis of broken crystals, part II. Practical application to apatite (U-Th)/He thermochronometry. Geochimica et Cosmochimica Acta, 120, pp. 395-416. (doi: 10.1016/j.gca.2013.05.042)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H. and Voorhees, P.W. (2011) Localisation of convection in mushy layers by weak background flow. Journal of Fluid Mechanics, 675, pp. 518-528. (doi: 10.1017/jfm.2011.117)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Anderson, A.M., Davis, S.H. and Voorhees, P.W. (2010) Radius selection and droplet unpinning in vapor-liquid-solid-grown nanowires. Journal of Applied Physics, 107(11), p. 114320. (doi: 10.1063/1.3434403)

Brush, L.B. and Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 (2008) The thinning of lamellae in surfactant-free foams with non-Newtonian liquid phase. Journal of Fluid Mechanics, 616, pp. 235-262. (doi: 10.1017/S0022112008003790)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H. and Voorhees, P.W. (2008) An analysis of convection in a mushy layer with a deformable permeable interface. Journal of Fluid Mechanics, 596, pp. 333-352. (doi: 10.1017/S0022112007009469)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H., Norris, S.A., Golovin, A.A., Vorhees, P.W. and Weiss, M. (2007) Steady growth of nanowires via the vapor-liquid-solid method. Journal of Applied Physics, 102(3), 034304. (doi: 10.1063/1.2761836)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577, Davis, S.H. and Voorhees, P.W. (2007) Convection in a mushy zone forced by sidewall heat losses. Metallurgical and Materials Transactions A, 38(5), pp. 1069-1079. (doi: 10.1007/s11661-007-9119-4)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Lister, J.R. (2007) Buoyancy-driven crack propagation: the limit of large fracture toughness. Journal of Fluid Mechanics, 580, pp. 359-380. (doi: 10.1017/S0022112007005472)

Roper, S.M. ORCID logoORCID: https://orcid.org/0000-0002-4771-1577 and Lister, J.R. (2005) Buoyancy-driven crack propagation from an over-pressured source. Journal of Fluid Mechanics, 536, pp. 79-98. (doi: 10.1017/S0022112005004337)

This list was generated on Sun Jun 15 14:42:40 2025 BST.