J. Baker, F. Guillard, B. Marks, and I. Einav, X-ray rheography uncovers planar granular flows despite non-planar walls, Nature communications, vol.9, issue.1, p.5119, 2018.

A. Boris, A. E. Bakhmeteff, and . Matzke, The hydraulic jump in terms of dynamic similarity, Transactions of the American Society of Civil Engineers, vol.101, issue.1, pp.630-647, 1936.

M. Barbolini, . Domaas, P. Faug, . Gauer, . Hakonardottir et al., The design of avalanche protection dams Recent practical and theoretical developments. European Commission, Directorate-General for Research, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00575782

J. Belanger, Essai sur la solution numerique de quelques problemes relatifs au mouvement permanent des eaux courantes; par m. J.-B. Belanger.. chez CarilianGoeury, libraire, des corps royaux des ponts et chaussees et, p.1828

D. Berzi, C. G. Di-prisco, and D. Vescovi, Constitutive relations for steady, dense granular flows, Physical Review E, vol.84, p.31301, 2011.

H. A. W-ar-beverloo, J. Leniger, and . Van-de-velde, The flow of granular solids through orifices, Chemical engineering science, vol.15, issue.3-4, pp.260-269, 1961.

. Jf, . Boudet, . Amarouchene, H. Bonnier, and . Kellay, The granular jump, Journal of Fluid Mechanics, vol.572, pp.413-432, 2007.

C. E. Brennen, K. Sieck, and J. Paslaski, Hydraulic jumps in granular material flow, Powder Technology, vol.35, issue.1, pp.31-37, 1983.

N. Brodu, P. Richard, and R. Delannay, Shallow granular flows down flat frictional channels: Steady flows and longitudinal vortices, Physical Review E, vol.87, issue.2, p.22202, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00815647

W. M. John, J. M. Bush, and . Aristoff, The influence of surface tension on the circular hydraulic jump, Journal of Fluid Mechanics, vol.489, pp.229-238, 2003.

S. Charles and . Campbell, Elastic granular flows of ellipsoidal particles, Physics of Fluids, vol.23, issue.1, p.13306, 2011.

G. Cardano and C. Spon, Ars magna (1545), vol.4, pp.221-302, 1968.

F. G. Carollo, V. Ferro, and V. Pampalone, Hydraulic jumps on rough beds, Journal of Hydraulic Engineering, vol.133, issue.9, pp.989-999, 2007.

H. Chanson, Current knowledge in hydraulic jumps and related phenomena. a survey of experimental results, European Journal of Mechanics-B/Fluids, vol.28, issue.2, pp.191-210, 2009.

H. Chanson, Development of the bélanger equation and backwater equation by jean-baptiste bélanger (1828), Journal of Hydraulic Engineering, vol.135, issue.3, pp.159-163, 2009.

. Ven-te-chow, Open-Channels Hydraulics, 1959.

T. Faug, Jumps and bores in bulky frictional granular flows, POWDERS AND GRAINS 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media, vol.1542, pp.642-645, 2013.

T. Faug, Depth-averaged analytic solutions for free-surface granular flows impacting rigid walls down inclines, Physical Review E, vol.92, issue.6, p.62310, 2015.
DOI : 10.1103/physreve.92.062310
URL : https://hal.archives-ouvertes.fr/hal-01275252

T. Faug, P. Childs, E. Wyburn, and I. Einav, Standing jumps in shallow granular flows down smooth inclines, Physics of Fluids, vol.27, issue.7, p.73304, 2015.

Y. Forterre and O. Pouliquen, Flows of dense granular media, Annual Review of Fluid Mechanics, vol.40, issue.1, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01432132

. Gdrmidi, On dense granular flows, The European Physical Journal E, vol.14, issue.4, pp.341-365, 2004.

G. Gioia and P. Chakraborty, Turbulent friction in rough pipes and the energy spectrum of the phenomenological theory, Physical Review Letters, vol.96, p.44502, 2006.

C. Goldenberg and . Goldhirsch, Continuum mechanics for small systems and fine resolutions, 2006.

I. Goldhirsch, Rapid granular flows. Annual review of fluid mechanics, vol.35, pp.267-293, 2003.

I. Goldhirsch, Stress, stress asymmetry and couple stress: from discrete particles to continuous fields, Granular Matter, vol.12, issue.3, pp.239-252, 2010.

J. M. Gray, Y. Tai, and S. Noelle, Shock waves, dead zones and particle-free regions in rapid granular free-surface flows, Journal of Fluid Mechanics, vol.491, pp.161-181, 2003.

J. Gray and . Cui, Weak, strong and detached oblique shocks in gravity-driven granular free-surface flows, Journal of Fluid Mechanics, vol.579, pp.113-136, 2007.

F. Guillard, B. Marks, and I. Einav, Dynamic x-ray radiography reveals particle size and shape orientation fields during granular flow, Scientific Reports, vol.7, issue.1, p.8155, 2017.

H. Willi and . Hager, Energy dissipators and hydraulic jump, 1992.

H. Willi, R. Hager, and . Bremen, Classical hydraulic jump: sequent depths, Journal of Hydraulic Research, vol.27, issue.5, pp.565-585, 1989.

M. Kristín and . Hákonardóttir, The interaction between snow avalanches and dams, 2004.

K. M. Hákonardóttir and A. Hogg, Oblique shocks in rapid granular flows, Physics of Fluids, vol.17, issue.7, p.77101, 1994.

A. J. Holyoake and J. N. Mcelwaine, High-speed granular chute flows, Journal of Fluid Mechanics, vol.710, p.2012

C. William, J. Hughes, and . Flack, Hydraulic jump properties over a rough bed, Journal of Hydraulic Engineering, vol.110, issue.12, pp.1755-1771, 1984.

D. Husain, A. Alhamid, and . Negm, Length and depth of hydraulic jump in sloping channels, Journal of Hydraulic Research, vol.32, issue.6, pp.899-910, 1994.

S. R. Jaeger, M. , and R. P. Behringer, Granular solids, liquids, and gases, Rev. Mod. Phys, vol.68, p.1259, 1996.

M. W. James-t-jenkins and . Richman, Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks. The Physics of fluids, vol.28, pp.3485-3494, 1985.

C. G. Johnson and J. M. Gray, Granular jets and hydraulic jumps on an inclined plane, Journal of Fluid Mechanics, vol.675, pp.87-116, 2011.

P. Jop, Rheological properties of dense granular flows, Comptes Rendus Physique, vol.16, issue.1, pp.62-72, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01133113

P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature, vol.441, issue.7094, pp.727-730, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00118375

E. Carl and . Kindsvater, The hydraulic jump in sloping channels, Trans. ASCE, vol.109, pp.1107-1154, 1944.

Y. Michel, S. C. Louge, and . Keast, On dense granular flows down flat frictional inclines, Physics of Fluids, vol.13, issue.5, pp.1213-1233, 2001.

B. Leon and . Lucy, A numerical approach to the testing of the fission hypothesis, The astronomical journal, vol.82, pp.1013-1024, 1977.

S. Méjean, T. Faug, and I. Einav, A general relation for standing normal jumps in both hydraulic and dry granular flows, Journal of Fluid Mechanics, vol.816, pp.331-351, 2017.

S. Méjean, F. Guillard, T. Faug, and I. Einav, Length of standing jumps along granular flows down inclines, Physical Review Fluid, 2019.

S. Méjean, T. Faug, and I. Einav, Discrete element method simulations of standing jumps in granular flows down inclines, EPJ Web of Conferences, vol.140, p.3026, 2017.

B. Dániel, P. Nagy, T. Claudin, E. Börzsönyi, and . Somfai, Rheology of dense granular flows for elongated particles, Physical Review E, vol.96, issue.6, p.62903, 2017.

I. Ohtsu and Y. Yasuda, Hydraulic jump in sloping channels, Journal of Hydraulic Engineering, vol.117, issue.7, pp.905-921, 1991.

I. Ohtsu, Y. Yasuda, and M. Ishikawa, Submerged hydraulic jumps below abrupt expansions, Journal of hydraulic engineering, vol.125, issue.5, pp.492-499, 1999.

A. J. Peterka, Hydraulic design of stilling basins and energy dissipators. Engineering Monograph No. 25, 1984.

O. Pouliquen and Y. Forterre, Friction law for dense granular flows: application to the motion of a mass down a rough inclined plane, Journal of Fluid Mechanics, vol.453, pp.133-151, 2002.
URL : https://hal.archives-ouvertes.fr/hal-01432227

O. Pouliquen, Scaling laws in granular flows down rough inclined planes, Physics of fluids, vol.11, issue.3, pp.542-548, 1999.

F. Radjai and S. Roux, Turbulentlike fluctuations in quasistatic flow of granular media. Physical review letters, vol.89, p.64302, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00122057

N. Rajaratnam, Advances in hydroscience, vol.4, pp.197-280, 1967.

R. Riegel and J. Beebe, The Hydraulic jump as a means of dissipating energy, 1917.

P. Rognon, T. Miller, and I. Einav, A circulation-based method for detecting vortices in granular materials, Granular Matter, vol.17, issue.2, pp.177-188, 2015.

J. Pierre-g-rognon, M. Roux, F. Naaim, and . Chevoir, Dense flows of cohesive granular materials, Journal of Fluid Mechanics, vol.596, pp.21-47, 2008.

J. Roux and G. Combe, Quasistatic rheology and the origins of strain, Comptes Rendus Physique, vol.3, issue.2, pp.131-140, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00354256

G. Saingier, P. Deboeuf, and . Lagrée, On the front shape of an inertial granular flow down a rough incline, Physics of Fluids, vol.28, issue.5, p.53302, 1994.
URL : https://hal.archives-ouvertes.fr/hal-01226495

S. B. Savage and K. Hutter, The motion of a finite mass of granular material down a rough incline, Journal of Fluid Mechanics, vol.199, pp.177-215, 1989.

B. Stuart and . Savage, Gravity flow of cohesionless granular materials in chutes and channels, Journal of Fluid Mechanics, vol.92, p.1979

A. Savitzky and . Golay, Smoothing and differentiation of data by simplified least squares procedures, Analytical chemistry, vol.36, issue.8, pp.1627-1639, 1964.

H. Schulz, U. D. Nóbrega, A. L. Simões, H. Schulz, R. De-melo et al., Hydrodynamics -Concepts and Experiments, chapter Details of Hydraulic Jumps for Design Criteria of Hydraulic Structures, pp.73-116, 2015.

L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine et al., Granular flow down an inclined plane: Bagnold scaling and rheology, Physical Review E, vol.64, p.51302, 2001.
DOI : 10.1103/physreve.64.051302
URL : http://arxiv.org/pdf/cond-mat/0105071

R. Silvester, Hydraulic jump in all shapes of horizontal channels, J. Hydraul. Div. ASCE, vol.90, pp.23-55, 1964.

V. Smilauer, A. Gladky, J. Kozicki, C. Modenese, J. Stronsky et al., Using and Programming, The Yade Project, 2010.

A. Taboada, N. Estrada, and F. Radjai, Additive decomposition of shear strength in cohesive granular media from grain-scale interactions, Physical review letters, vol.97, issue.9, p.98302, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01425247

S. Viroulet, J. L. Baker, A. N. Edwards, C. G. Johnson, C. Gjaltema et al., Multiple solutions for granular flow over a smooth two-dimensional bump, Journal of Fluid Mechanics, vol.815, pp.77-116, 2017.

. Aw-vreman, . Al-tarazi, . Kuipers, O. Van-sint-annaland, and . Bokhove, Supercritical shallow granular flow through a contraction: experiment, theory and simulation, Journal of fluid mechanics, vol.578, issue.1, pp.233-269, 2007.

T. Weinhart, R. Hartkamp, A. R. Thornton, and S. Luding, Coarse-grained local and objective continuum description of three-dimensional granular flows down an inclined surface, Physics of Fluids, vol.25, issue.7, p.70605, 2013.

T. Weinhart, S. Anthony-r-thornton, O. Luding, and . Bokhove, Closure relations for shallow granular flows from particle simulations, Granular Matter, vol.14, issue.4, pp.531-552, 2012.

G. Beresford and W. , Linear and nonlinear waves, vol.42, 2011.

C. R. Chia-shun-yih and . Guha, Hydraulic jump in a fluid system of two layers, Tellus, vol.7, issue.3, pp.358-366, 1955.

V. ?milauer, E. Catalano, B. Chareyre, S. Dorofeenko, J. Duriez et al., Yade Reference Documentation, Yade Documentation. The Yade Project, 2010.