Publications

Gray, J.M.N.T. & Morland, L.W. (1994). A two-dimensional model for the dynamics of sea ice. Phil. Trans. Roy. Soc. A 347 , 219-290. (abstract) (jstor) (pdf)

Gray, J.M.N.T. & Morland, L.W. (1994). A dry snow pack model. Cold Reg. Sci. Tech. 22(2), 135-148.

Gray, J.M.N.T. & Morland, L.W. (1995). The compaction of polar snow packs. Cold Reg. Sci. Tech. 23(2), 109-119 (pdf)

Gray, J.M.N.T., Morland, L.W. & Morris, E.M. (1995). A phase changing dry snow pack model. J. Glaciol. 41(137), 11-29.

Gray, J.M.N.T. & Killworth, P.D. (1995). Stability of the viscous plastic sea ice rheology. J. Phys. Ocean. 25(5), 971-978. (abstract) (pdf)

Gray, J.M.N.T., Morland, L.W. & Colbeck, S.C. (1995). The effect in change in thermal properties on the propagation of a periodic thermal wave: Application to a snow buried rocky outcrop. J. Geophys. Res. 100(B8), 15,267-15,279.

Morland, L.W. & Gray, J.M.N.T. (1995). Phase change interactions and singular fronts. Contin. Mech. & Thermodyn. 7(4), 387-414.

Gray, J.M.N.T. (1996). Water movement in wet snow. Phil. Trans. Roy. Soc. A, 354 , 465-500. (abstract) (jstor) (pdf)

Svendsen B. & Gray, J.M.N.T. (1996) On the balance relations for a classical mixture containing a moving non-material surface. Contin. Mech. & Thermodyn. 8(3), 171-187.

Gray, J.M.N.T. & Killworth, P.D. (1996). Sea ice ridging schemes. J. Phys. Ocean. 26(11), 2420-2428. (abstract) (pdf)

Gray, J.M.N.T. & Svendsen, B. (1997). Interaction models for mixtures with application to phase transitions. Int. J. Engng. Sci. 35(1), 55-74. (pdf)

Gray, J.M.N.T. (1997). Granular avalanches on complex topography. IUTAM Symposium on Mechanics of Granular and Porous Materials, Cambridge (Ed. N.A Fleck & A.C.F. Cocks), Kluwer Academic Publishers, 275-286. (pdf)

Gray, J.M.N.T. & Hutter, K. (1997). Pattern formation in granular avalanches. Contin. Mech. & Thermodyn. 9(6), 341-345. (abstract) (pdf)

Gray, J.M.N.T. & Hutter, K. (1998). Physik granularer Lawinen. Physikalische Blatter 54(1), 37-43. (pdf)

Gray, J.M.N.T. & Tai Y.C. (1998). Particle size segregation, granular shocks and stratification patterns. NATO ASI series, H.J. Herrmann, J. -P. Hovi, and S. Luding (eds.), Physics of dry granular media, 697--702. Kluwer Academic. (pdf)

Tai, Y.C. & Gray, J.M.N.T. (1998). Limiting stress states in granular avalanches. Annal. Glac., 26 , 272--276.

Gray, J.M.N.T. & Tai, Y.C. (1998). On the inclusion of a velocity dependent basal drag in avalanche models. Annal. Glac., 26 , 277--280.

Arons, E.M., Colbeck, S.C. & Gray, J.M.N.T. (1999). Depth hoar growth rates near a rocky outcrop. J. Glac., 44(148), 477-484.

Gray, J.M.N.T., Irmer, A., Tai, Y.C. & Hutter K. (1999). Plane & Oblique Shocks in shallow granular flows. 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)

Irmer, A., Schaefer, M., Gray, J.M.N.T. & P. Voinovich (1999). An adaptive unstructured solver for granular flows. 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)

Gray, J.M.N.T., Wieland, M. & Hutter K. (1999). Free surface flow of cohesionless granular avalanches over complex basal topography. Proc. Roy. Soc. 455, 1841-1874. (abstract & pdf)

Wieland, M., Gray, J.M.N.T. & Hutter K. (1999). Channelised free surface flow of cohesionless granular avalanches in a chute with shallow lateral curvature. J. Fluid. Mech. 392 , 73-100. (abstract) (pdf)

Gray, J.M.N.T. (1999). Loss of hyperbolicity and ill-posedness of the viscous-plastic sea ice rheology in uniaxial divergent flow. J. Phys. Ocean. 29(11), 2920-2929. (abstract) (pdf)

Tai, Y.C., Wang, Y., Gray, J.M.N.T. & Hutter, K. (1999). Methods of similitude in granular avalanche flows. K. Hutter et al. (eds.), Advances in Cold-Region Thermal Engineering and Sciences, 415-428. Springer-Verlag.

Wang, Y., Hutter, K., Gray, J.M.N.T. & Tai Y.-C. (2000). Gravity-driven shear flow of a sediment-water mixture: Comparison of theory and experiment Debris-flow hazard mitigation: Mechanics, Prediction and Assessment. G.F. Wieczorek & N.D. Naeser eds., A.A. Balkema/Rotterdam/Brookfield. p381-386.

Tai, Y.-C., Hutter, K. & Gray, J.M.N.T. (2000). Steady motion of a finite granular mass in a rotating drum. The Chinese Journal of Mechanics, 16(2), 67-72.

Gray, J.M.N.T., Tai, Y.C. & Hutter K. (2000). Shock waves and particle size segregation in shallow granular flows. IUTAM Symposium on segregation in granular materials (Eds. A.D. Rosato & D.L. Blackmore), Kluwer Academic Publishers. 269-276. (pdf)

Gray, J.M.N.T. (2001). Granular flow in partially filled slowly rotating drums. J. Fluid. Mech. 441 , 1-29. (abstract) (pdf)

Tai, Y.C., Noelle, S., Gray J.M.N.T. & Hutter K. (2001). An accurate shock-capturing finite difference method to solve the Savage-Hutter equations in avalanche dynamics. Annal. Glac., 32, 263-267.

Tai Y.C., Gray J.M.N.T., Hutter K. & Noelle S. (2001). Flow of dense avalanches past obstructions. Annal. Glac., 32, 281-284.

Tai, Y.-C., Hutter, K. & Gray, J.M.N.T. (2001). Dense Granular Avalanches: Mathematical description and experimental validation. Lecture Notes in Physics 582, (Eds. Provincale & Bamford), Geomorphological fluid dynamics, Springer. 339-366. (pdf)

Tai, Y.-C., Noelle, S., Gray J.M.N.T. & Hutter, K. (2002) Shock capturing and front tracking methods for granular avalanches. J. Comput. Phys. 175, 269-301. (abstract) (pdf)

Chugunov V., Gray J.M.N.T. & Hutter K. (2002). Some invariant solutions of the Savage-Hutter model for granular avalanches. Proceedings of the Institute of NAS of Ukraine 43(1) 111-119.

Gray J.M.N.T. (2003) Rapid Granular Avalanches. 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, 3-42.

Eckart, W., Gray J.M.N.T. & Hutter K. (2003) Particle Image Velocimetry (PIV) for granular avalanches on inclined planes. 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, 195-218.

Chugunov, V., Gray J.M.N.T. & Hutter K. (2003) Group theoretic methods and similarity solutions of the Savage-Hutter equations. 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.

Gray J.M.N.T., Tai Y.-C. & S. Noelle (2003) Shock waves, dead-zones and particle-free regions in rapid granular free surface flows. J. Fluid Mech. 491, 161-181. (abstract) (pdf)

Gray, J.M.N.T. & A.R. Thornton (2005) A theory for particle size segregation in shallow granular free-surface flows. Proc. Roy. Soc. A 461 , 1447-1473. (abstract & pdf)

Hogg, A.J., Gray, J.M.N.T. & Cui, X. (2005) Granular Vacua. In Powders & Grains 2005 (Eds. R. Garcia-Rojo, H.J. Herrmann & S. McNamara), A.A.Balkema, Rotterdam, 929-933. (pdf)

Thornton, A.R. Gray, J.M.N.T. & A.J. Hogg. (2006) A three-phase mixture theory for particle size segregation in shallow granular free-surface flows. J. Fluid Mech. 550, 1-25. (abstract) (pdf)

Gray, J.M.M.T., M. Shearer & A.R. Thornton. (2006) Time-dependent solutions for particle size segregation in shallow granular avalanches. Proc. Roy. Soc. 462, 947-972. (abstract & pdf)

Zuriguel, I., Gray, J.M.N.T., Peixinho, J. & T. Mullin (2006). Pattern selection by a granular wave in a rotating drum. Phys. Rev. E 73, 061302. (abstract)(pdf)

Gray, J.M.N.T. & V.A. Chugunov (2006). Particle-size segregation and diffusive remixing in shallow granular avalanches. J. Fluid Mech. 569 , 365-398. (abstract) (pdf)

Gray, J.M.N.T. & Cui, X. (2007). Weak, strong and detached oblique shocks in gravity driven granular free-surface flows. J. Fluid Mech. 579, 113-136. (abstract) (pdf) (movies)

Cui X., Gray J.M.N.T. & Johannesson T. (2007). Deflecting dams and the formation of oblique shocks in snow avalanches at Flateyri, Iceland. J. Geophys. Res. 112, F04012, doi:10.1029/2006JF000712. (abstract) (pdf) (movie)

McIntyre, M., Rowe, E., Shearer, M., Gray, J.M.N.T. & Thornton, A.R. (2007). Evolution of a mixing zone in granular avalanches. A.M.R.X. 2007, abm008. (abstract) (pdf)

Thornton, A.R. & Gray, J.M.N.T. (2008). Breaking size-segregation waves and particle recirculation in granular avalanches. J. Fluid Mech. 596 , 261-284. (abstract) (pdf) (movies)

Shearer, M., Gray, J.M.N.T. & Thornton, A.R. (2008). Stable solutions of a scalar conservation law for particle-size segregation in dense granular avalanches. European J. Applied Math. 19, 61-86. (abstract) (pdf)

Gray, J.M.N.T. & Ancey, C. (2009). Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts. J. Fluid Mech. 629, 387-423. (abstract) (pdf) (movie)

Gray, J.M.N.T. in press, Particle size segregation in granular avalanches: A brief review of recent progress. AIP Conf. Proc.

Gray, J.M.N.T. & Kokelaar, P. in press, Large particle segregation, transport and accumulation in granular free-surface flows. J. Fluid Mech.



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