Publications

• Transient wave activity in snow avalanches is controlled by entrainment and topography.
  Xingyue Li, Betty Sovilla, John Mark Nicholas Timm Gray & Johan Gaume (2024) Comm. Earth Env. 5, 77. (supplement) (movies)
• Granular-fluid avalanches: the role of vertical structure and velocity shear.
  X. Meng, A.M. Taylor-Noonan, C.G. Johnson, W.A. Take, E.T. Bowman & J.M.N.T. Gray (2024) J. Fluid Mech 980, A11. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7)
• Particle-size segregation patterns in a partially filled triangular rotating drum.
  E.S.F. Maguire, T. Barker, M. Rauter, C.G. Johnson & J.M.N.T. Gray (2024) J. Fluid Mech 979, A40. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7) (movie 8) (movie 9) (movie 10) (movie 11) (movie 12) (movie 13) (movie 14) (movie 15) (movie 16) (movie 17) (movie 18) (movie 19)
• Particle-size segregation in self-channelized granular flows.
  A.N. Edwards, F.M. Rocha, B.P. Kokelaar, C.G. Johnson & J.M.N.T. Gray (2023) J. Fluid Mech 955, A38. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7) (movie 8) (movie 9) (movie 10) (movie 11) (movie captions) (complete movie download)
• Well-posedness and ill-posedness of single-phase models for suspensions.
  T. Barker, J.M.N.T. Gray, D.G. Schaeffer & M. Shearer (2023) J. Fluid Mech 954, A17. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie captions)
• Formation of dry granular fronts and watery tails in debris flows
  Xiannan Meng, C. G. Johnson & J. M. N. T. Gray (2022) J. Fluid Mech 943, A19. (movie 1) (movie 2) (movie 3) (movie 4)
• Subcritical and supercritical granular flow around an obstacle on a rough inclined plane
  C. Tregaskis, C. G. Johnson, X. Cui & J. M. N. T. Gray (2022) J. Fluid Mech 933, A25. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7) (movie 8)
• Large particle segregation in two-dimensional sheared granular flows
  T. Trewhela, J. M. N. T. Gray & C. Ancey (2021) Phys. Rev. Fluids 6, 054302. (movie 1) (movie 2)
• An experimental scaling law for particle-size segregation in dense granular flows
  T. Trewhela, C. Ancey & J. M. N. T. Gray (2021) J. Fluid Mech. 916, A55. (movie 1) (movie 2)
• Size segregation of irregular granular materials captured by time‑resolved 3D imaging
  Parmesh Gajjar, Chris G. Johnson, James Carr, Kevin Chrispeels, J. M. N. T. Gray & Philip J. Withers (2021) Sci. Rep. 11, 8352. (supplementary material) (media news) (Science Friday) (Private Eye)
• Erosion-deposition dynamics and long distance propagation of granular avalanches
  A.N. Edwards, S. Viroulet, C. G. Johnson & J. M. N. T. Gray (2021) J. Fluid Mech. 915, A9. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7) (movie 8) (movie 9) (movie 10) (movies 11-24)
• Coupling rheology and segregation in granular flows
  T. Barker, M. Rauter, E. S. F. Maguire, C. G. Johnson & J. M. N. T. Gray (2021) J. Fluid Mech. 909, A22. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6)
• Discrete and continuum modelling of grain size segregation during bedload transport
  R. Chassagne, R. Maurin, J. Chauchat, J. M. N. T. Gray & P. Frey (2020) J. Fluid Mech. 895, A30.
• Self-channelisation and levee formation in monodisperse granular flows.
  F. M. Rocha, C. G. Johnson & J. M. N. T. Gray (2019) J. Fluid Mech. 876, 591--641. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7) (movie 8) (movie 9) (movie 10)
• Frictional hysteresis and particle deposition in granular free-surface flows.
  A. N. Edwards, A. S. Russell, C. G. Johnson & J. M. N. T. Gray (2019) J. Fluid Mech. 875, 1058--1095. (movies)
• Constitutive relations for compressible granular flow in the inertial regime.
  D. G. Schaeffer, T. Barker, D. Tsuji, P. Gremaud, M. Shearer & J. M. N. T. Gray (2019) J. Fluid Mech. 874, 926--951. (movies)
• Shedding dynamics and mass exchange by dry granular waves flowing over erodible beds.
  S. Viroulet, A. N. Edwards, C. G. Johnson, B. P. Kokelaar & J. M. N. T. Gray (2019) Earth and Planetary Sci. Lett. 523, 115700. (movies)
• Retrogressive failure of a static granular layer on an inclined plane.
  A. S. Russell, C. G. Johnson, A. N. Edwards, S. Viroulet, F. M. Rocha & J. M. N. T. Gray (2019) J. Fluid Mech. 869, 313--340. (movies)
• Bulbous head formation in bidisperse shallow granular flow over an inclined plane.
  I. F. C. Denissen, T. Weinhart , A. Te Voortwis, S. Luding, J. M. N. T. Gray & A. R.Thornton (2019) J. Fluid Mech. 866, 263--297. (movie)
• Breaking size-segregation waves and mobility feedback in dense granular avalanches
  K. van der Vaart, A. R. Thornton, C. G. Johnson, T. Weinhart, L. Jing, P. Gajjar, J. M. N. T. Gray & C. Ancey (2018) Granular Matter 20, 46:1--18.
• The kinematics of bidisperse granular roll waves
  S. Viroulet, J. L. Baker, F. M. Rocha, C. G. Johnson, B. P. Kokelaar & J. M. N. T. Gray (2018) J. Fluid Mech. 848, 836--875. (movies)
• Particle Segregation in Dense Granular Flows
  J. M. N. T. Gray (2018) Ann. Rev. Fluid Mech. 50, 407--433. (movies)
• Granular avalanches on the Moon: Mass-wasting conditions, processes, and features
  B. P. Kokelaar, R. S. Bahia, K. H. Joy, S. Viroulet & J. M. N. T. Gray (2017) J. Geophys. Res. Planets 122, 1893--1925. (supplement)
• Partial regularisation of the incompressible μ(I)-rheology for granular flow
  T. Barker & J. M. N. T. Gray (2017) J. Fluid Mech. 828, 5--32. (movies)
• Formation of levees, troughs and elevated channels by avalanches on erodible slopes
  A. N. Edwards, S. Viroulet, B. P. Kokelaar & J. M. N. T. Gray (2017) J. Fluid Mech. 823, 278--315. (movies) (JFM Blog)
• Well-posed continuum equations for granular flow with compressibility and μ(I)-rheology.
  T. Barker, D. G. Schaeffer, M. Shearer & J. M. N. T. Gray (2017) Proc. Roy. Soc. A 473 , 20160846.
• Multiple solutions for granular flow over a smooth two-dimensional bump.
  S. Viroulet, J. L. Baker, A. N. Edwards, C. G. Johnson, C. Gjaltema, P. Clavel & J. M. N. T. Gray (2017) J. Fluid Mech. 815, 77--116. (movies)
• Segregation-induced finger formation in granular free-surface flows
  J. L. Baker, C. G. Johnson & J. M. N. T. Gray (2016) J. Fluid Mech. 809, 168--212. (movies)
• Asymmetric breaking size-segregation waves in dense granular free-surface
  P. Gajjar, K. van der Vaart, A. R. Thornton, C. G. Johnson, C. Ancey & J. M. N. T. Gray (2016) J. Fluid Mech. 794, 460-505.
• A two-dimensional depth-averaged μ(I)-rheology for dense granular avalanches
  J. L. Baker, T. Barker & J. M. N. T. Gray (2016) J. Fluid Mech. 787, 367-395.
• Well-posed and ill-posed behaviour of the μ(I)-rheology for granular flow
  T. Barker, D.G. Schaeffer, P. Bohorquez & J. M. N. T. Gray (2015) J. Fluid Mech. 779, 794-818. (movies)
• Particle-size and -density segregation in granular free-surface flows
  J. M. N. T. Gray & C. Ancey (2015) J. Fluid Mech. 779, 622-668.
• Underlying asymmetry within particle size segregation
  K. van der Vaart, P. Gajjar, G. Epely-Chauvin, N. Andreini J. M. N. T. Gray & C. Ancey (2015) Phys. Rev. Lett. 114, 238001.
• Particle-size segregation in dense granular avalanches
  J. M. N. T. Gray, P. Gajjar & P Kokelaar (2015) C. R. Physique 16, 73-85. (movies)
• Erosion-deposition waves in shallow granular free-surface flows
  A. N. Edwards & J. M. N. T. Gray (2015) J. Fluid Mech. 762, 35-67. (movie 1) (movie 2) (movie 3) (movie 4) (movie 5) (movie 6) (movie 7) (movie 8) (movie 9) (movie 10)
• Arrested coarsening of granular roll waves
  D. Razis, A. N. Edwards, J. M. N. T. Gray & Ko van der Weele (2014) Phys. Fluids 26, 123305.
• Asymmetric flux models for particle-size segregation in granular avalanches
  P. Gajjar & J. M. N. T. Gray (2014) J. Fluid Mech. 757, 297-329.
• A depth-averaged μ(I)-rheology for shallow granular free-surface flows
  J. M. N. T. Gray & A. N. Edwards (2014) J. Fluid Mech. 755, 503-534.
• Fine-grained linings of leveed channels facilitate runout of granular flows
  B. P. Kokelaar, R. L. Graham, J. M. N. T. Gray and J. W. Vallance (2014) Earth Planet. Sci. Lett. 385, 172-180. (copyright)
• A hierarchy of particle-size segregation models: From polydisperse mixtures to depth-averaged theories
  J. M. N. T. Gray (2013) AIP Conf. Proc. 1542, 66-73. (Keynote Powders & Grains Sydney 2013) (copyright)
• Gravity-driven granular free-surface flow around a circular cylinder
  X. Cui & J. M. N. T. Gray (2013) J. Fluid Mech. 720, 314-337. (movies) (copyright)
• Segregation-induced fingering instabilities in granular free surface flows
  M. J. Woodhouse, A. R. Thornton, C. G. Johnson, B. P. Kokelaar & J. M. N. T. Gray (2012) J. Fluid Mech. 709, 543-580. (movies) (copyright)
• Grain-size segregation and levee formation in geophysical mass flows
  Johnson, C. G., Kokelaar, B. P., Iverson, R. M., Logan, M., LaHusen, R. G. & Gray J. M. N. T. (2012) J. Geophys. Res. 117, F01032. (html) (movies) (free access with login ID and password: 27050929)
• Multi-component particle-size segregation in shallow granular avalanches
  Gray, J.M.N.T. & Ancey, C. (2011) J. Fluid Mech. 678, 535-588. (example code) (copyright)
• Granular jets and hydraulic jumps on an inclined plane
  Johnson, C.G. & Gray, J.M.N.T. (2011) J. Fluid Mech. 675, 87-116. (movies) (copyright)
• Experimental investigation into segregating granular flows down chutes.
  Sebastien Wiederseiner, Nicolas Andreini, Gael Epely-Chauvin, Gaudenz Moser, Mathieu Monnereau, J.M.N.T. Gray, and Christophe Ancey (2011) Physics of Fluids 23, 013301. (read online) (copyright)
• Particle size segregation in granular avalanches: A brief review of recent progress.
  Gray, J.M.N.T. (2010) AIP Conf. Proc. 1227, 343-362. (copyright)
• Large particle segregation, transport and accumulation in granular free-surface flows.
  Gray, J.M.N.T. & Kokelaar, B.P. (2010) J. Fluid Mech. 652, 105-137. (movies) (Erratum) (copyright)
• Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts.
  Gray, J.M.N.T. & Ancey, C. (2009) J. Fluid Mech. 629, 387-423. (movie) (copyright)
• Stable solutions of a scalar conservation law for particle-size segregation in dense granular avalanches.
  Shearer, M., Gray, J.M.N.T. & Thornton, A.R. (2008) Eur. J. Appl. Math. 19, 61-86. (copyright)
• Breaking size-segregation waves and particle recirculation in granular avalanches.
  Thornton, A.R. & Gray, J.M.N.T. (2008) J. Fluid Mech. 596, 261-284. (movies) (copyright)
• Evolution of a mixing zone in granular avalanches.
  McIntyre, M., Rowe, E., Shearer, M., Gray, J.M.N.T. & Thornton, A.R. (2008) App. Math Res. Express 2008, abm008.
• Deflecting dams and the formation of oblique shocks in snow avalanches at Flateyri, Iceland.
  Cui X., Gray J.M.N.T. & Johannesson T. (2007) J. Geophys. Res. 112, F04012. (movie)
• Weak, strong and detached oblique shocks in gravity driven granular free-surface flows.
  Gray, J.M.N.T. & Cui, X. (2007) J. Fluid Mech. 579, 113-136. (movies) (copyright)
• Particle-size segregation and diffusive remixing in shallow granular avalanches.
  Gray, J.M.N.T. & V.A. Chugunov (2006) J. Fluid Mech. 569, 365-398. (movie Fig. 1) (copyright)
• Pattern selection by a granular wave in a rotating drum.
  Zuriguel, I., Gray, J.M.N.T., Peixinho, J. & T. Mullin (2006) Phys. Rev. E 73, 061302. (movie 1) (movie 2)
• Time-dependent solutions for particle size segregation in shallow granular avalanches.
  Gray, J.M.M.T., M. Shearer & A.R. Thornton. (2006) Proc. Roy. Soc. 462, 947-972. (movies)
• A three-phase mixture theory for particle size segregation in shallow granular free-surface flows.
  Thornton, A.R. Gray, J.M.N.T. & A.J. Hogg. (2006) J. Fluid Mech. 550, 1-25. (copyright)
• Granular Vacua.
  Hogg, A.J., Gray, J.M.N.T. & Cui, X. (2005) In Powders & Grains 2005 (R. Garcia-Rojo, H.J. Herrmann & S. McNamara eds.), A.A.Balkema, Rotterdam, 929-933.
• A theory for particle size segregation in shallow granular free-surface flows.
  Gray, J.M.N.T. & A.R. Thornton (2005) Proc. Roy. Soc. A 461, 1447-1473. (movie Fig. 1)
• Shock waves, dead-zones and particle-free regions in rapid granular free surface flows.
  Gray J.M.N.T., Tai Y.-C. & S. Noelle (2003) J. Fluid Mech. 491, 161-181. (movie Fig. 1) (Fig. 3) (Fig. 4) (Fig. 5) (Fig. 6) (copyright)
• Group theoretic methods and similarity solutions of the Savage-Hutter equations.
  Chugunov, V., Gray J.M.N.T. & Hutter K. (2003) In "Dynamic Response of granular and porous material under large and catastrophic deformations" (Eds. K. Hutter & N. Kirchner), Lecture Notes in Applied & Computational Mechanics, Springer, 11, 251-261.
• Particle Image Velocimetry (PIV) for granular avalanches on inclined planes.
  Eckart, W., Gray J.M.N.T. & Hutter K. (2003) In "Dynamic Response of granular and porous material under large and catastrophic deformations" (K. Hutter & N. Kirchner eds.), Lecture Notes in Applied & Computational Mechanics, Springer, 11, 195-218.
• Rapid Granular Avalanches.
  Gray J.M.N.T. (2003) In "Dynamic Response of granular and porous material under large and catastrophic deformations" (K. Hutter & N. Kirchner eds.), Lecture Notes in Applied & Computational Mechanics, Springer, 11, 3-42.
• Some invariant solutions of the Savage-Hutter model for granular avalanches.
  Chugunov V., Gray J.M.N.T. & Hutter K. (2002) Proceedings of the Institute of NAS of Ukraine 43(1) 111-119.
• Shock capturing and front tracking methods for granular avalanches.
  Tai, Y.-C., Noelle, S., Gray J.M.N.T. & Hutter, K. (2002) J. Comput. Phys. 175, 269-301.
• Dense Granular Avalanches: Mathematical description and experimental validation.
  Tai, Y.-C., Hutter, K. & Gray, J.M.N.T. (2001) Lecture Notes in Physics 582, Geomorphological fluid dynamics (N.J. Balmforth & A. Provincale eds.), Springer. 339-366. (abstract)
• Flow of dense avalanches past obstructions.
  Tai Y.C., Gray J.M.N.T., Hutter K. & Noelle S. (2001) Annal. Glac. 32, 281-284.
• An accurate shock-capturing finite difference method to solve the Savage-Hutter equations in avalanche dynamics.
  Tai, Y.C., Noelle, S., Gray J.M.N.T. & Hutter K. (2001) Annal. Glac. 32, 263-267.
• Granular flow in partially filled slowly rotating drums.
  Gray, J.M.N.T. (2001) J. Fluid. Mech. 441, 1-29. (movie Fig. 10) (Fig. 14) (copyright)
• Shock waves and particle size segregation in shallow granular flows.
  Gray, J.M.N.T., Tai, Y.C. & Hutter K. (2000) IUTAM Symposium on segregation in granular materials (A.D. Rosato & D.L. Blackmore eds.), Kluwer Academic Publishers. 269-276.
• Steady motion of a finite granular mass in a rotating drum.
  Tai, Y.-C., Hutter, K. & Gray, J.M.N.T. (2000) The Chinese Journal of Mechanics, 16(2), 67-72.
• Gravity-driven shear flow of a sediment-water mixture: Comparison of theory and experiment.
  Wang, Y., Hutter, K., Gray, J.M.N.T. & Tai Y.-C. (2000) Debris-flow hazard mitigation: Mechanics, Prediction and Assessment. (G.F. Wieczorek & N.D. Naeser eds.), A.A. Balkema/Rotterdam/Brookfield. p381-386.
• Methods of similitude in granular avalanche flows.
  Tai, Y.C., Wang, Y., Gray, J.M.N.T. & Hutter, K. (1999) Advances in Cold-Region Thermal Engineering and Sciences (K. Hutter, Y. Wang & H. Beer eds.), 415-428. Springer-Verlag. (abstract)
• Loss of hyperbolicity and ill-posedness of the viscous-plastic sea ice rheology in uniaxial divergent flow.
  Gray, J.M.N.T. (1999) J. Phys. Ocean. 29(11), 2920-2929.
• Channelized free surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature.
  Wieland, M., Gray, J.M.N.T. & Hutter K. (1999) J. Fluid. Mech. 392, 73-100. (copyright)
• Free surface flow of cohesionless granular avalanches over complex basal topography.
  Gray, J.M.N.T., Wieland, M. & Hutter K. (1999) Proc. Roy. Soc. 455, 1841-1874.
• An adaptive unstructured solver for granular flows.
  Irmer, A., Schaefer, M., Gray, J.M.N.T. & P. Voinovich (1999) In 22nd International Symposium on Shock Waves, Imperial College, London, U.K. July 18-23, 1999, Paper 4610, 689-693, Bound Proceedings ISBN 0854327118, CD-Rom ISBN 0845327061.
• Plane & Oblique Shocks in shallow granular flows.
  Gray, J.M.N.T., Irmer, A., Tai, Y.C. & Hutter K. (1999) In 22nd International Symposium on Shock Waves, Imperial College, London, U.K. July 18-23, 1999, Paper 4550, 1447-1452, Bound Proceedings ISBN 0854327118, CD-Rom ISBN 0845327061.
• Depth hoar growth rates near a rocky outcrop.
  Arons, E.M., Colbeck, S.C. & Gray, J.M.N.T. (1999) J. Glac. 44(148), 477-484.
• On the inclusion of a velocity dependent basal drag in avalanche models.
  Gray, J.M.N.T. & Tai, Y.C. (1998) Annal. Glac. 26, 277--280.
• Limiting stress states in granular avalanches.
  Tai, Y.C. & Gray, J.M.N.T. (1998) Annal. Glac. 26, 272--276.
• Particle size segregation, granular shocks and stratification patterns.
  Gray, J.M.N.T. & Tai Y.C. (1998) NATO ASI series, H.J. Herrmann, J. -P. Hovi, and S. Luding (eds.), Physics of dry granular media, 697--702. Kluwer Academic.
• Physik granularer Lawinen.
  Gray, J.M.N.T. & Hutter, K. (1998) Physikalische Blatter 54(1), 37-43.
• Pattern formation in granular avalanches.
  Gray, J.M.N.T. & Hutter, K. (1997) Contin. Mech. & Thermodyn. 9(6), 341-345. (movie Fig. 5)
• Granular avalanches on complex topography.
  Gray, J.M.N.T. (1997) IUTAM Symposium on Mechanics of Granular and Porous Materials, Cambridge (Ed. N.A Fleck & A.C.F. Cocks), Kluwer Academic Publishers, 275-286.
• Interaction models for mixtures with application to phase transitions.
  Gray, J.M.N.T. & Svendsen, B. (1997) Int. J. Engng. Sci. 35(1), 55-74.
• Sea ice ridging schemes.
  Gray, J.M.N.T. & Killworth, P.D. (1996) J. Phys. Ocean. 26(11), 2420-2428.
• On the balance relations for a classical mixture containing a moving non-material surface.
  Svendsen B. & Gray, J.M.N.T. (1996) Contin. Mech. & Thermodyn. 8(3), 171-187.
• Water movement in wet snow.
  Gray, J.M.N.T. (1996) Phil. Trans. Roy. Soc. A, 354, 465-500.
• Phase change interactions and singular fronts.
  Morland, L.W. & Gray, J.M.N.T. (1995) Contin. Mech. & Thermodyn. 7(4), 387-414.
• The effect in change in thermal properties on the propagation of a periodic thermal wave: Application to a snow buried rocky outcrop.
  Gray, J.M.N.T., Morland, L.W. & Colbeck, S.C. (1995) J. Geophys. Res. 100(B8), 15,267-15,279. (abstract)
• Stability of the viscous plastic sea ice rheology.
  Gray, J.M.N.T. & Killworth, P.D. (1995) J. Phys. Ocean. 25(5), 971-978.
• A phase changing dry snow pack model.
  Gray, J.M.N.T., Morland, L.W. & Morris, E.M. (1995) J. Glaciol. 41(137), 11-29.
• The compaction of polar snow packs.
  Gray, J.M.N.T. & Morland, L.W. (1995) Cold Reg. Sci. Tech. 23(2), 109-119
• A dry snow pack model.
  Gray, J.M.N.T. & Morland, L.W. (1994) Cold Reg. Sci. Tech. 22(2), 135-148.
• A two-dimensional model for the dynamics of sea ice.
  Gray, J.M.N.T. & Morland, L.W. (1994) Phil. Trans. Roy. Soc. A 347, 219-290.