Publications

  • Particle size segregation in granular avalanches: A brief review of recent progress.
    Gray, J.M.N.T. (2010) AIP Conf. Proc. 1227, 343-362. (abstract) (pdf)

  • 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. (doi:10.1017/S002211201000011X) (abstract) (pdf) new (movies) and
    ERRATUM Large particle segregation, transport and accumulation in granular free-surface flows -- ERRATUM
    Gray, J.M.N.T. & Kokelaar, B.P. (2010) J. Fluid Mech. 657, 539. (doi:10.1017/S0022112010003241) (abstract) (pdf)

  • 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. (doi:10.1017/S0022112009006466) (pdf) new (movie)
  • 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. (doi:10.1017/S0956792507007280) (pdf)
  • 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. (doi:10.1017/S0022112007009445) (pdf) new (movies)
  • Evolution of a mixing zone in granular avalanches.
    McIntyre, M., Rowe, E., Shearer, M., Gray, J.M.N.T. & Thornton, A.R. (2007) A.M.R.X. 2007, abm008. (abstract) (pdf)
  • 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, doi:10.1029/2006JF000712. (doi:10.1029/2006JF000712) (pdf) new (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. (doi:10.1017/S0022112007004843) (pdf) new (movies)
  • 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. (doi:10.1017/S0022112006002977) (pdf) new (movie Fig. 1)
  • 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. (doi:10.1103/PhysRevE.73.061302) (pdf)
  • 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. (doi:10.1098/rspa.2005.1580) (pdf) new (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. (doi:10.1017/S0022112005007676) (pdf)
  • 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. (pdf)
  • 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. (doi:10.1098/rspa.2004.1420) (pdf) new (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. (doi:10.1017/S0022112003005317) (pdf) new (movie Fig. 1) (Fig. 3) (Fig. 4) (Fig. 5) (Fig. 6)
  • 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. (doi:10.1006/jcph.2001.6946) (pdf)
  • 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) (pdf)
  • Flow of dense avalanches past obstructions.
    Tai Y.C., Gray J.M.N.T., Hutter K. & Noelle S. (2001) Annal. Glac., 32, 281-284. (pdf)
  • 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. (pdf)
  • Granular flow in partially filled slowly rotating drums.
    Gray, J.M.N.T. (2001) J. Fluid. Mech. 441 , 1-29. (doi:10.1017/S0022112001004736) (pdf) new (movie Fig. 10) (Fig. 14)
  • 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. (pdf)
  • 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) (pdf)
  • 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. (doi:10.1175/1520-0485(1999)029<2920:LOHAIP>2.0.CO;2) (pdf)
  • Channelised 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. (doi:10.1017/S0022112099005467) (pdf)
  • 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. (doi:10.1098/rspa.1999.0383) (pdf)
  • 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. (pdf)
  • 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. (pdf)
  • 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. (pdf)
  • 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. (pdf)
  • Limiting stress states in granular avalanches.
    Tai, Y.C. & Gray, J.M.N.T. (1998) Annal. Glac., 26 , 272--276. (pdf)
  • 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. (pdf)
  • Physik granularer Lawinen.
    Gray, J.M.N.T. & Hutter, K. (1998) Physikalische Blatter 54(1), 37-43. (pdf)
  • Pattern formation in granular avalanches.
    Gray, J.M.N.T. & Hutter, K. (1997) Contin. Mech. & Thermodyn. 9(6), 341-345. (doi:10.1007/s001610050075) (pdf) new (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. (pdf)
  • 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. (doi:10.1016/S0020-7225(96)00082-1) (pdf)
  • Sea ice ridging schemes.
    Gray, J.M.N.T. & Killworth, P.D. (1996) J. Phys. Ocean. 26(11), 2420-2428. (doi:10.1175/1520-0485(1996)026<2420:SIRS>2.0.CO;2) (pdf)
  • 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. (doi:10.1007/BF01181854) (pdf)
  • Water movement in wet snow.
    Gray, J.M.N.T. (1996) Phil. Trans. Roy. Soc. A, 354 , 465-500. (doi:10.1098/rsta.1996.0017) (pdf)
  • Phase change interactions and singular fronts.
    Morland, L.W. & Gray, J.M.N.T. (1995) Contin. Mech. & Thermodyn. 7(4), 387-414. (doi:10.1007/BF01175665) (pdf)
  • 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) (pdf)
  • Stability of the viscous plastic sea ice rheology.
    Gray, J.M.N.T. & Killworth, P.D. (1995) J. Phys. Ocean. 25(5), 971-978. (doi:10.1175/1520-0485(1995)025<0971:SOTVPS>2.0.CO;2) (pdf)
  • 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. (pdf)
  • The compaction of polar snow packs.
    Gray, J.M.N.T. & Morland, L.W. (1995) Cold Reg. Sci. Tech. 23(2), 109-119 (doi:10.1016/0165-232X(94)00010-U) (pdf)
  • A dry snow pack model.
    Gray, J.M.N.T. & Morland, L.W. (1994) Cold Reg. Sci. Tech. 22(2), 135-148. (doi:10.1016/0165-232X(94)90025-6) (pdf)
  • 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. (doi:10.1098/rsta.1994.0045) (pdf)

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