## References

Aradian, A., Raphaël, É. & De Gennes, P.-G.
2002
Surface flows of granular materials: a short introduction to some recent models. C. R. Phys.
3 (2), 187–196.

Aranson, I. S. & Tsimring, L. S.
2001
Continuum description of avalanches in granular media. Phys. Rev. E
64, 020301(R).

Aranson, I. S. & Tsimring, L. S.
2002
Continuum theory of partially fluidized granular flows. Phys. Rev. E
65, 061303.

Baker, J. L., Barker, T. & Gray, J. M. N. T.
2016a
A two-dimensional depth-averaged mu(I)-rheology for dense granular avalanches. J. Fluid Mech.
787, 367–395.

Balmforth, N. J. & McElwaine, J. N.
2018
From episodic avalanching to continuous flow in a granular drum. Granul. Matt.
20, 52.

Bouchaud, J. P. & Cates, M. E.
1998
Triangular and uphill avalanches of a tilted sandpile. Granul. Matt.
1 (2), 101–103.

Bouchaud, J. P., Cates, M. E., Prakesh, J. R. & Edwards, S. F.
1994
A model for the dynamics of sandpile surfaces. J. Phys. I France
4 (10), 1383–1410.

Bouchut, F. & Westdickenberg, M.
2004
Gravity driven shallow water models for arbitrary topography. Commun. Math. Sci.
2 (3), 359–389.

Christen, M., Kowalski, J. & Bartelt, P.
2010
RAMMS: numerical simulation of dense snow avalanches in three-dimensional terrain. Cold Reg. Sci. Technol.
63 (1-2), 1–14.

Daerr, A.
2001
Dynamical equilibrium of avalanches on a rough plane. Phys. Fluids
13 (7), 2115–2124.

Daerr, A. & Douady, S.
1999
Two types of avalanche behaviour in granular media. Nature
399 (6733), 241–243.10.1038/20392

Denlinger, R. P. & Iverson, R. M.
2001
Flow of variably fluidized granular masses across three-dimensional terrain 2. Numerical predictions and experimental tests. J. Geophys. Res.
106 (B1), 553–566.

Doyle, E. E., Hogg, A. J. & Mader, H. M.
2011
A two-layer approach to modelling the transformation of dilute pyroclastic currents into dense pyroclastic flows. Proc. R. Soc. Lond. A
467 (2129), 1348–1371.

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

Edwards, A. N., Russell, A. S., Johnson, C. G. & Gray, J. M. N. T.
2019
Frictional hysteresis and particle deposition in granular free-surface flows. J. Fluid Mech. (submitted).

Edwards, A. N., Viroulet, S., Kokelaar, B. P. & Gray, J. M. N. T.
2017
Formation of levees, troughs and elevated channels by avalanches on erodible slopes. J. Fluid Mech.
823, 278–315.

Eke, E., Viparelli, E. & Parker, G.
2011
Field-scale numerical modeling of breaching as a mechanism for generating continuous turbidity currents. Geosphere
7 (5), 1063–1076.

Félix, G. & Thomas, N.
2004
Relation between dry granular flow regimes and morphology of deposits: formation of levées in pyroclastic deposits. Earth Planet. Sci. Lett.
221, 197–213.

Fischer, J. T., Kowalski, J. & Pudasaini, S. P.
2012
Topographic curvature effects in applied avalanche modeling. Cold Reg. Sci. Technol.
74–75, 21–30.10.1016/j.coldregions.2012.01.005

GDR-MiDi
2004
On dense granular flows. Eur. Phys. J. E
14 (4), 341–365.

Glimsdal, S., L’Heureux, J. S., Harbitz, C. B. & Lovholt, F.
2016
The 29th january 2014 submarine landslide at statland, norway-landslide dynamics, tsunami generation, and run-up. Landslides
13, 1435–1444.

Goujon, C., Thomas, N. & Dalloz-Dubrujeaud, B.
2003
Monodisperse dry granular flows on inclined planes: role of roughness. Euro. Phys. J. E
11 (2), 147–157.

Gray, J. M. N. T. & Edwards, A. N.
2014
A depth-averaged 𝜇(*I*)-rheology for shallow granular free-surface flows. J. Fluid Mech.
755, 503–544.

Gray, J. M. N. T., Tai, Y. C. & Noelle, S.
2003
Shock waves, dead-zones and particle-free regions in rapid granular free-surface flows. J. Fluid Mech.
491, 161–181.10.1017/S0022112003005317

Gray, J. M. N. T., Wieland, M. & Hutter, K.
1999
Free surface flow of cohesionless granular avalanches over complex basal topography. Proc. R. Soc. Lond. A
455 (1985), 1841–1874.10.1098/rspa.1999.0383

Grigorian, S. S., Eglit, M. E. & Iakimov, I. L.
1967
New statement and solution of the problem of the motion of snow avalanche. Snow, Avalanches & Glaciers. Tr. Vysokogornogo Geofizich Inst
12, 104–113.

Iverson, R. M.
1997
The physics of debris flows. Rev. Geophys.
35 (3), 245–296.

Iverson, R. M. & Denlinger, R. P.
2001
Flow of variably fluidized granular masses across three-dimensional terrain 1. Coulomb mixture theory. J. Geophys. Res.
106 (B1), 537–552.

Iverson, R. M. & Ouyang, C.
2015
Entrainment of bed material by earth-surface mass flows: review and reformulation of depth-integrated theory. Rev. Geophys.
53 (1), 27–58.10.1002/2013RG000447

Jing, L., Kwok, C. Y., Leung, Y. F. & Sobral, Y. D.
2016
Characterization of base roughness for granular chute flows. Phys. Rev. E
94, 052901.10.1103/PhysRevE.94.052901

Johnson, C. G., Kokelaar, B. P., Iverson, R. M., Logan, M., LaHusen, R. G. & Gray, J. M. N. T.
2012
Grain-size segregation and levee formation in geophysical mass flows. J. Geophys. Res.
117, F01032.

Jop, P., Forterre, Y. & Pouliquen, O.
2006
A constitutive law for dense granular flows. Nature Publishing Group
441 (7094), 727–730.

Kamrin, K. & Henann, D. L.
2015
Nonlocal modeling of granular flows down inclines. Soft Matt.
11 (1), 179–185.

Köhler, A., McElwaine, J. N., Sovilla, B., Ash, M. & Brennan, P.
2016
The dynamics of surges in the 3 February 2015 avalanches in Vallee de la Sionne. J. Geophys. Res.
121 (11), 2192–2210.

Kokelaar, B. P., Graham, R. L., Gray, J. M. N. T. & Vallance, J. W.
2014
Fine-grained linings of leveed channels facilitate runout of granular flows. Earth Planet. Sci. Lett.
385, 172–180.10.1016/j.epsl.2013.10.043

Kuo, C. Y., Tai, Y. C., Bouchut, F., Mangeney, A., Pelanti, M., Chen, R. F. & Chang, K. J.
2009
Simulation of Tsaoling landslide, Taiwan, based on Saint Venant equations over general topography. Engng Geol.
104 (3–4), 181–189.

Kurganov, A. & Tadmor, E.
2000
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. J. Comput. Phys.
160 (1), 241–282.

Lovholt, F., Pedersen, G., Harbitz, C. B., Glimsdal, S. & Kim, J.
2015
On the characteristics of landslide tsunamis. Phil. Trans. R. Soc. Lond. A
373, 20140376.

Luca, I., Hutter, K., Tai, Y. C. & Kuo, C. Y.
2009
A hierarchy of avalanche models on arbitrary topography. Acta Mechanica
205 (1–4), 121–149.10.1007/s00707-009-0165-4

Mangeney, A., Bouchut, F., Thomas, N., Vilotte, J. P. & Bristeau, M. O.
2007
Numerical modeling of self-channeling granular flows and of their levee-channel deposits. J. Geophys. Res.
112, F02017.

Mangeney, A., Roche, O., Hungr, O., Mangold, N., Faccanoni, G. & Lucas, A.
2010
Erosion and mobility in granular collapse over sloping beds. J. Geophys. Res.
115, F03040.

Mangeney-Castelnau, A., Vilotte, J. P., Bristeau, M. O., Perthame, B., Bouchut, F., Simeoni, C. & Yerneni, S.
2003
Numerical modeling of avalanches based on Saint Venant equations using a kinetic scheme. J. Geophys. Res.
108 (B11), 2527–2544.

Mastbergen, D., van den Ham, G., Cartigny, M., Koelewijn, A., de Kleine, M., Clare, M., Hizzett, J., Azpiroz, M. & Vellinga, A.
2016
Multiple flow slide experiment in the Westerschelde Estuary, The Netherlands. In Submarine Mass Movements and their Consequences, Advances in Natural and Technological Hazards Research, vol. 41, pp. 241–249. Springer.

Naaim, M., Naaim-Bouvet, F., Faug, T. & Bouchet, A.
2004
Dense snow avalanche modeling: flow, erosion, deposition and obstacle effects. Cold Reg. Sci. Tech.
39 (2–3), 193–204.

Pitman, E. B., Nichita, C. C., Patra, A., Bauer, A., Sheridan, M. & Bursik, M.
2003
Computing granular avalanches and landslides. Phys. Fluids
15 (12), 3638–3646.10.1063/1.1614253

Pouliquen, O.
1999a
Scaling laws in granular flows down rough inclined planes. Phys. Fluids
11 (3), 542–548.

Pouliquen, O.
1999b
On the shape of granular fronts down rough inclined planes. Phys. Fluids
11 (7), 1956–1958.

Pouliquen, O. & Forterre, Y.
2002
Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane. J. Fluid Mech.
453, 133–151.

Pudasaini, S. P. & Hutter, K.
2003
Rapid shear flows of dry granular masses down curved and twisted channels. J. Fluid Mech.
495, 193–208.

Rocha, F. M., Johnson, C. G. & Gray, J. M. N. T.
2019
Self-channelisation and levee formation in monodisperse granular flows. J. Fluid Mech. (submitted).

Saingier, G., Deboeuf, S. & Lagrée, P.-Y.
2016
On the front shape of an inertial granular flow down a rough incline. Phys. Fluids
28 (5), 053302.10.1063/1.4948401

Sampl, P. & Zwinger, T.
2004
Avalanche simulation with samos. Ann. Glaciol.
38 (1), 393–398.10.3189/172756404781814780

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.

Savage, S. B. & Hutter, K.
1991
The dynamics of avalanches of granular materials from initiation to runout. Part i: analysis. Acta Mechanica
86 (1–4), 201–223.

Silbert, L. E., Ertas, D., Grest, G. S., Halsey, T. C., Levine, D. & Plimpton, S. J.
2001
Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E
64, 051302.

Silbert, L. E., Landry, J. W. & Grest, G. S.
2003
Granular flow down a rough inclined plane: transition between thin and thick piles. Phys. Fluids
15 (1), 1–10.

Van den Berg, J. H., Van Gelder, A. & Mastbergen, D. R.
2002
The importance of breaching as a mechanism of subaqueous slope failure in fine sand. Sedimentology
49 (1), 81–95.

Varnes, D. J.
1978
Slope movement types and processes. In Landslides Analysis and Control. Washington Transportation Research Board, Special Report 176 (ed. Schuster, R. L. & Krizek, R. J.), chap. 2. National Academy of Sciences.

Viroulet, S., Baker, J. L., Edwards, A. N., Johnson, C. G., Gjaltema, C., Clavel, P. & Gray, J. M. N. T.
2017
Multiple solutions for granular flow over a smooth two-dimensional bump. J. Fluid Mech.
815, 77–116.

Viroulet, S., Baker, J. L., Rocha, F. M., Johnson, C. G., Kokelaar, B. P. & Gray, J. M. N. T.
2018
The kinematics of bidisperse granular roll waves. J. Fluid Mech.
848, 836–875.

Wiederseiner, S., Andreini, N., Epely-Chauvin, G., Moser, G., Monnereau, M., Gray, J. M. N. T. & Ancey, C.
2011
Experimental investigation into segregating granular flows down chutes. Phys. Fluids
23, 013301.

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