Gravity-driven free surface flow of granular avalanches over complex basal topography

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1985, 1999, Pages 1841-1874

  Gray, J M N T ^a   Wieland, M ^a   Hutter, K ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Avalanches; Depth integrated equations; Gravity flow; Hyperbolic equations; Mohr coulomb behaviour; Rapid granular flow

Indexed keywords

EID: 33746445883     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0383     Document Type: Article

References (17)

1. Brillouin, L. 1964 Tensors in mechanics and elasticity. New York: Academic.
2. Dent, J. D., Burrel, K. J., Schmidt, D. S., Louge, M. Y., Adams, E. E. & Jazbutis, T. G. 1998 Density, velocity and friction measurements in a dry-snow avalanche. Annal. Glac. 26, 247-252.
3. Eglit, M. E. 1983 Some mathematical models of snow avalanches. In Advances in mechanics and the flow of granular materials (ed. M. Shahinpoor), vol. 2, pp. 577-588. Houston, TX : Clausthal-Zellerfeld and Gulf Publishing Company.
4. Grève, R. & Hutter, K. 1993 Motion of a granular avalanche in a convex and concave curved chute: experiments and theoretical predictions. Phil. Trans. R. Soc. Land. A 342, 573-600.
5. Grève, R., Koch, T. & Hutter, K. 1994 Unconfined flow of granular avalanches along a partly curved surface. I. Theory. Proc. R. Soc. Land. A 445, 399-413.
6. Hungr, O. & Morgenstern, N. R. 1984a Experiments on the flow behaviour of granular materials at high velocity in an open channel flow. Geotechnique 34, 405-413.
7. Hungr, O. & Morgenstern, N. R. 19846 High velocity ring shear tests on sand. Geotechnique 34, 415-421.
8. Hutter, K. & Koch, T. 1991 Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions. Phil. Trans. R. Soc. Land. A 334, 93-138.
9. Hutter, K., Siegel, M., Savage, S. B. & Nohguchi, Y. 1993 Two-dimensional spreading of a granular avalanche down an inclined plane. I. Theory. Ada Mech. 100, 37-68.
10. Hutter, K., Koch, T., Pliiss, C. & Savage, S. B. 1995 The dynamics of avalanches of granular materials from initiation to run-out. Ada Mech. 109, 127-165.
11. Keller, S., Ito, Y. & Nishimura, K. 1998 Measurements of the vertical velocity distribution in ping pong ball avalanches. Annal. Glac. 26, 259-264.
12. Klingbeil, E. 1966 Tensorrechnung für ingenieure. Bibliographisches Institut, Mannheim: Hochschultaschenbücher.
13. Koch, T., Grève, R. & Hutter, K. 1994 Unconfined flow of granular avalanches along a partly curved chute. II. Experiments and numerical computations. Proc. R. Soc. Land. A 445, 415-435.
14. McConnell, A. J. 1957 Applications of tensor analysis. New York: Dover.
15. Savage, S. B. & Hutter, K. 1989 The motion of a finite mass of granular material down a rough incline. J. Fluid Mech. 199, 177-215.
16. Savage, S. B. & Hutter, K. 1991 The dynamics of avalanches of granular materials from initiation to run-out. I. Analysis. Ada Mech. 86, 201-223.
17. Sokolnikoff, I. S. 1951 Tensor analysis theory and applications. New York: Wiley.