Publications

• Erosion-deposition waves in shallow granular free-surface free-surface flows
  A. N. Edwards & J. M. N. T. Gray (2015) J. Fluid Mech. 762 , 35-67. (movies)
• 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.