. Hydrol, , vol.195, pp.200-217, 1997.

G. I. Barenblatt, Dimensional Analysis, 1987.

A. Basson and D. Gerard-varet, Wall laws for fluid flows at a boundary with random roughness, Commun. Pur. Appl. Math, vol.61, pp.941-987, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00083222

P. D. Bates and A. P. De-roo, A simple raster-based model for flood inundation simulation, J. Hydrol, vol.236, pp.54-77, 2000.

P. D. Bates, M. S. Horritt, and T. J. Fextrell, A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation model, J. Hydrol, vol.387, pp.33-45, 2010.

J. C. Bathurst, Flow resistance estimation in mountain rivers, J. Hydraul. Eng.-ASCE, vol.111, pp.625-643, 1985.

J. C. Bathurst, At-a-site variation and minimum flow resistance for mountain rivers, J. Hydrol, vol.269, pp.11-26, 2006.

M. Bayazit, Free surface flow in a channel of large relative roughness, J. Hydraul. Res, vol.14, pp.115-126, 1976.

D. B. Beasley, L. F. Huggins, and E. J. Monke, ANSWERS: a model for watershed planning, pp.938-944, 1980.

G. Belaud and A. Paquier, Sediment diversion through irrigation outlets, J. Irrig. Drain. E.-ASCE, vol.127, pp.35-38, 2001.
URL : https://hal.archives-ouvertes.fr/hal-02579708

S. Beltaos, P. Tang, and R. Rowsell, Ice jam modelling and field data collection for flood 30 forecasting in the Saint John River, Canada, Hydrol. Process, vol.26, pp.2535-2545, 2012.

J. P. Bennett, Concepts of mathematical modelling of sediment yield, Water Resour. Res, vol.10, pp.485-492, 1974.

F. Charru, H. Mouilleron-arnould, and O. Eiff, Erosion and deposition of particles on a bed sheared by a viscous flow, J. Fluid Mech, vol.519, pp.59-80, 2004.

S. M. Chartrand and P. J. Whiting, Alluvial architecture in headwater streams with special emphasis on step-pool topography, Earth Surf. Proc. Land, vol.25, pp.583-600, 2000.

C. L. Chen, Momentum and energy coefficients based on power-law velocity profile, J. Hydraul. Eng.-ASCE, vol.118, pp.1571-1584, 1992.

R. C. Chen and J. L. Wu, The flow characteristics between two interactive spheres, Chem. Eng. Sci, vol.55, pp.1143-1158, 2000.

M. Chiari, Numerical modelling of bedload transport in torrents and mountain streams

. Thesis, University of natural resources and applied life sciences, p.212, 2008.

A. Chin, The morphologic structure of step-pools in mountain streams, Geomorphology, vol.27, pp.191-204, 1999.

A. Chin and E. Wohl, Toward a theory for step pools in stream channels, Prog. Phys. Geog, vol.20, pp.275-296, 2005.

C. Chinnarasri and S. Wongwise, Flow patterns and energy dissipation over various stepped chutes, J. Irrig. Drain. E.-ASCE, vol.132, pp.70-76, 2006.

G. W. Choi and A. Molinas, Simultaneous solution algorithm for channel network modelling, Water Resour. Res, vol.29, pp.321-328, 1993.

V. T. Chow, Geomorphic thresholds in riverine landscapes, vol.680, pp.541-557, 1959.

M. Church and A. Zimmermann, Form and stability of step-pool channels: research progress, Water Resour. Res, vol.43, p.3415, 2007.

N. L. Coleman, A theoretical and experimental study of drag and lift forces acting on a sphere resting on a hypothetical streambed, Proceedings of 12th IAHR Congress, vol.3, pp.185-192, 1967.

J. R. Cooper, J. Aberle, K. Koll, and S. J. Tait, Influence of relative submergence on spatial variance and form-induced stress of gravel-bed flows, Water Resour. Res, vol.49, pp.5765-5777, 2013.

J. Croke and S. Mockler, Gully initiation and road-to-stream linkage in a forested catchment, south-eastern Australia, Earth Surf, Proc. Land, vol.26, pp.205-217, 2001.

J. A. Cunge, On the subject of a flood propagation computation method (Muskingum method), J. Hydraul. Res, vol.7, pp.205-230, 1969.

S. Dey and A. Papanicolaou, Sediment threshold under stream flow: a state-of-the-art review, KSCE J. Civ. Eng, vol.12, pp.45-60, 2008.

A. Dittrich and K. Koll, Velocity field and resistance of flow over rough surfaces with large and small relative roughness, Int. J. Sediment Res, vol.12, pp.21-33, 1997.

T. G. Drake, R. L. Shreve, W. E. Dietrich, P. J. Whiting, L. et al., Bedload transport of fine gravel observed by motion picture photography, J. Fluid Mech, vol.192, pp.193-217, 1988.

D. Boys and D. , Le Rhône et les rivières à lit affouillables, Annales des Ponts et Chaussées, Série, vol.5, pp.141-195, 1879.

D. Buat and P. , Principes d'hydraulique et de pyrodynamique vérifiés par un grand nombre 15 d'expériences faites par ordre du gouvernement, Firmin Didot Ed, p.1779

D. Dunkerley, Determining friction coefficients for interrill flows: the significance of flow filaments and backwater effects, Earth Surf, Proc. Land, vol.28, pp.475-491, 2003.

D. Dunkerley, Flow threads in surface run-off: implications for the assessment of flow properties and friction coefficients in soil erosion and hydraulics investigations, Earth Surf. Proc. Land

Z. G. Feng and E. E. Michaelides, Interparticle forces and lift on a particle attached to a solid boundary in suspension flow, Phys. Fluids, vol.14, pp.49-60, 2002.

R. L. Ferguson, Flow resistance equations for gravel-and boulder-bed streams, Water Resour. Res, vol.43, p.5427, 2007.

R. Fernandez-luque and R. Van-beek, Erosion and Transport of Bed-Load Sediment, J. Hy-10 draul. Res, vol.14, pp.127-144, 1976.

M. G. Ferrick, Analysis of wave types, Water Resour. Res, vol.21, pp.209-212, 1985.

V. Ferro, Flow resistance in gravel-bed channels with large-scale roughness, Earth Surf. Proc. Land, vol.28, p.1822, 2003.

O. Fovet, X. Litrico, G. Belaud, and O. Genthon, Adaptive control of algae detachment in regulated canal networks, J. Hydroinform, vol.15, pp.321-334, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01209138

R. H. French and W. Froude, Observations and suggestions on the subject of determining by experiment the resistance of ships, Open-channel hydraulics, p.705, 1868.

, The papers of William Froude, The Institution of Naval Architects, pp.120-128, 1868.

P. Gao and A. D. Abrahams, Bedload transport resistance in rough open-channel flows, Earth Surf. Proc. Land, vol.29, pp.423-435, 2004.

M. Garcia and G. Parker, Experiments on the entrainment of sediment into suspension by a 25 dense bottom current, J. Geophys. Res.-Oceans, vol.98, pp.4793-4807, 1993.

M. L. Gaur and B. S. Mathur, Modeling event-based temporal variability of flow resistance coefficient, J Hydrol. Eng, vol.8, pp.266-277, 2003.

I. Y. Gejadze and G. J. Copeland, Open boundary control problem for Navier-Stokes equations including a free surface: adjoint sensitivity analysis, Computer and Mathematics with rills, vol.37, pp.791-799, 2001.

R. Gimenez, O. Planchon, N. Silvera, and G. Govers, Longitudinal velocity patterns and bed morphology interaction in a rill, Earth Surf. Proc. Land, vol.29, pp.105-114, 2004.

G. Gioia and F. A. Bombardelli, Scaling and similarity in rough channel flows, Phys. Rev. Lett, vol.88, p.14501, 2001.

G. Govers, Evaluation of transporting capacity formulae for overland flow, Overland Flow Hydraulics and Erosion Mechanics, pp.243-273, 1992.

G. E. Grant, Critical flow constrains flow hydraulics in mobile-bed streams: a new hypothesis, Water Resour. Res, vol.33, pp.349-358, 1997.

G. E. Grant, F. J. Swanson, and M. G. Wolman, Pattern and origin of stepped-bed morphology in high-gradient streams, Geol. Soc. Am. Bull, vol.102, pp.340-352, 1990.

P. M. Gresho and R. L. Sani, Incompressible Flow and the Finite Element Method, 1998.

V. Guinot and B. Cappelaere, Sensitivity analysis of 2-D steady-state shallow water flow. Application to the surface flow model calibration, Adv. Water Resour, vol.32, pp.540-560, 2009.

S. J. Gumiere, D. Raclot, B. Cheviron, G. Davy, X. Louchart et al., MHYDAS-Erosion : a distributed single-storm water erosion model for agricultural catchment, Hydrol. Process, vol.25, pp.1717-1728, 2011.

P. B. Hairsine and C. W. Rose, Modeling water erosion due to overland flow using physical principles. 1. Sheet flow, Water Resour. Res, vol.28, pp.237-243, 1992.

P. B. Hairsine and C. W. Rose, Modeling water erosion due to overland flow using physical principles. 2. Rill flow, Water Resour. Res, vol.28, pp.245-250, 1992.

D. Hallema and R. Moussa, A model for distributed GIUH-based flow routing on natural and 30 anthropogenic hillslopes, Hydrol. Process, vol.28, pp.4877-4895, 2013.

G. Hauke, A stabilized finite element method for the Saint-Venant equations with application to irrigation, Int. J. Numer. Meth. Fl, vol.38, pp.963-984, 2002.

R. Hessel, Consequences of hyperconcentrated flow for process-based soil erosion modelling on the Chinese Loess Plateau, Earth Surf, Proc. Land, vol.31, pp.1100-1114, 2006.

R. Hessel, V. Jetten, and Z. Ganghui, Estimating Manning's n for steep slopes, Catena, vol.54, pp.77-91, 2003.

M. Hino, Turbulent flows with suspended particles, J. Hydr. Eng. Div.-ASCE, vol.89, pp.161-185, 1963.

F. Hjulström, Studies of the morphological activity of rivers as illustrated by the river Fyris, Bulletin of the Geology Institute of Uppsala, vol.25, pp.221-527, 1935.

G. M. Hornberger and E. W. Boyer, Recent advances in watershed modelling, US National report to the IUGG, vol.33, pp.949-957, 1991.

M. S. Horritt and P. D. Bates, Evaluation of 1-D and 2-D numerical models for predicting river flood inundation, J. Hydrol, vol.268, pp.87-99, 2002.

R. E. Horton, Erosional development of streams and their drainage basins: hydrological approach to quantitative morphology, Bull. Geol. Soc. Am, vol.56, pp.275-370, 1945.

A. D. Howard, A detachment-limited model of drainage basin evolution, Water Resour. Res, 1994.

S. Ikeda, Incipient motion of sand particles on side slopes, J. Hydraul. Eng, vol.108, pp.95-114, 1982.

Y. Iwagaki, Fundamental studies on the runoff analysis by characteristics, p.25, 1955.

N. Izumi and G. Parker, Linear stability of channel inception: downstream-driven theory, J. Fluid Mech, vol.283, pp.341-363, 1995.

W. Jäger and A. Mikelic, On the roughness-induced effective boundary conditions for an incompressible viscous flow, J. Differ. Equations, vol.170, pp.96-122, 2001.

W. Jäger and A. Mikelic, Couette flow over a rough boundary and drag reduction, Commun. in Gravel Bed Streams, Impacts of Global Climate Change, pp.1-12, 2005.

L. S. Kuchment, Matematicheskoye modelirovanye rechnogo stoka (Mathematical Models of River Flow), 1972.

J. M. Laflen, L. J. Lane, and G. R. Foster, A new generation in erosion-prediction technology, J. Soil Water Conserv, vol.46, pp.34-38, 1991.

P. Lagrée, A triple-deck model of ripple formation and evolution, Phys. Fluids, vol.15, pp.2355-2368, 2003.

E. Lajeunesse, L. Malverti, P. Lancien, L. Armstrong, F. Métivier et al., Fluvial and submarine morphodynamics of laminar and near-laminar flows, Sedimentology, vol.57, pp.1-26, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01499489

H. Lamarre and A. Roy, The role of morphology on the displacement of particles in a step-pool river system, Geomorphology, vol.99, pp.270-279, 2008.

M. P. Lamb, W. E. Dietrich, and J. G. Venditti, Is the critical Shields stress for incipient sediment dependent on channel-bed slope?, J. Geophys. Res.-Earth, vol.113, p.2008, 2008.

M. P. Lamb, W. E. Dietrich, and L. S. Sklar, A model for fluvial bedrock incision by impacting 25 suspended and bed load sediment, J. Geophys. Res, vol.113, p.3025, 2008.

S. N. Lane, K. S. Richards, and J. H. Chandler, Application of distributed sensitivity analysis to a model of turbulent open-channel flow in a natural river channel, P. Roy. Soc. Lond. A Mat, vol.447, pp.49-63, 1994.

H. L. Langhaar, L. B. Leopold, R. A. Bagnold, M. G. Wolman, and L. M. Brush, Flow resistance in sinuous or irregular channels, Dimensional Analysis and the Theory of Models, 1960.

J. A. Liggett and D. A. Woolhiser, Difference solutions of the shallow-water equation, J. Eng. Mech. Div.-ASCE, vol.93, pp.39-71, 1967.

M. J. Lighthill and G. B. Whitham, On kinematic waves, 1. Flood movement in long rivers

R. Soc, , vol.229, pp.281-316, 1955.

L. Lilburne, The scale matcher: A framework for assessing scale compatibility of environmental data and models, vol.392, 2002.

A. E. Lobkovsky, A. V. Orpe, R. Molloy, A. Kudrolli, and D. H. Rothman, Erosion of a granular bed driven by laminar fluid flow, J. Fluid Mech, vol.605, pp.47-58, 2008.

D. P. Loucks and E. Van-beek, Water Resources Systems Planning and Management -An Introduction to Methods, Models and Applications, Studies and Reports in Hydrology series, p.680, 2005.

D. A. Lyn, Turbulence characteristics of sediment-laden flows in open channels, J. Hydraul. Eng, vol.118, pp.971-988, 1992.

C. Manes, D. Pokrajac, O. Coceal, and I. Mcewan, On the significance of form-induced stress in rough wall turbulent boundary layers, Acta Geophys, vol.56, pp.845-861, 2008.

A. Mangeney, F. Bouchut, N. Thomas, J. P. Vilotte, and M. O. Bristeau, Numerical modelling of self-channeling granular flows and of their levee-channel deposits, J. Geophys. Res, vol.112, p.2017, 2007.

R. Manning, On the flow of water in open channels and pipes, Transactions of the Institution of Civil Engineers of Ireland, vol.20, pp.161-207, 1871.

F. Marche, Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects, Eur. J. Mech. B-Fluid, vol.26, pp.49-63, 2007.
URL : https://hal.archives-ouvertes.fr/hal-02067998

T. Meile, Influence of macro-roughness of walls on steady and unsteady flow in a channel, 2007.

C. Mendoza and D. Zhou, Energetics of sediment-laden streamflows, Water Resour. Res, vol.33, pp.39-64, 1948.

J. D. Milliman and J. P. Syvitski, Geomorphic/tectonic control of sediment discharge to the ocean: the importance of small mountainous rivers, J. Geol, pp.525-544, 1992.

D. R. Montgomery and J. M. Buffington, Channel-reach morphology in mountain drainage basins, Geol. Soc. Am. Bull, vol.109, pp.596-611, 1997.

R. P. Morgan, J. N. Quinton, R. E. Smith, G. Govers, J. Poesen et al., The European Soil Erosion Model (EUROSEM): a dynamic approach for predicting sediment transport from fields and small catchments, Earth Surf. Proc. Land, vol.23, pp.527-544, 1998.

R. Moussa, Analytical Hayami solution for the diffusive wave flood routing problem with lateral 15 inflow, Hydrol. Process, vol.10, pp.1209-1227, 1996.

R. Moussa and C. Bocquillon, Criteria for the choice of flood-routing methods in natural channels, J. Hydrol, vol.186, pp.1-30, 1996.

R. Moussa and C. Bocquillon, Algorithms for solving the diffusive wave flood routing equation, Hydrol. Process, vol.10, pp.105-124, 1996.

R. Moussa and C. Bocquillon, Approximation zones of the Saint-Venant equations f flood routing with overbank flow, Hydrol. Earth Syst. Sci, vol.4, pp.251-260, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00330834

R. Moussa and C. Bocquillon, On the use of the diffusive wave for modelling extreme flood events with overbank flow in the floodplain, J. Hydrol, vol.374, pp.116-135, 2009.

R. Moussa, M. Voltz, A. , and P. , Effects of the spatial organization of agricultural management on the hydrological behaviour of a farmed catchment during flood events, Hydrol. Process, vol.16, pp.393-412, 2002.

R. Moussa, N. Chahinian, and C. Bocquillon, Distributed hydrological modelling of a Mediterranean mountainous catchment -model construction and multi-site validation, J. Hydrol

S. Munier, X. Litrico, G. Belaud, and P. Malaterre, Distributed approximation of openchannel flow routing accounting for backwater effects, Adv. Water Resour, vol.31, pp.1590-1602, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00682721

R. Muñoz-carpena, J. E. Parsons, G. , and J. W. , Modelling hydrology and sediment transport in vegetative filter strips, J. Hydrol, vol.214, pp.111-129, 1999.

T. G. Myers, H. Nakagawa, and I. Nezu, Prediction of the contributions to the Reynolds stress from bursting events in open channel flows, J. Fluid Mech, vol.46, pp.99-128, 1977.

J. E. Nash and J. V. Sutcliffe, River flow forecasting through conceptual models, part I -A discussion of principles, J. Hydrol, vol.10, pp.282-290, 1970.

C. L. Navier, Mémoire sur les lois du mouvement des fluides, Mémoires de l'Académie Royale des Sciences de l, vol.6, pp.389-440, 1822.

C. L. Navier, Sur les lois de l'équilibre et du mouvement des corps élastiques, Mémoires de l'Académie Royale des Sciences de l, vol.7, pp.375-393, 1827.

C. R. Neill, A re-examination of the beginning of movement for coarse granular bed materials, p.20

, Hydraulic Research Station, 1968.

J. M. Nelson, R. L. Shreve, D. C. Mclean, and T. G. Drake, Role of near-bed turbulence structure in bed load transport and bed form mechanics, Water Resour. Res, vol.31, pp.2071-2086, 1995.

H. Nepf, Drag, turbulence, and diffusion in flow through emergent vegetation, Water Resour. 25 Res, vol.35, pp.479-489, 1999.

I. Newton, I. Nezu, and H. Nekagawa, Philosophiae Naturalis -Principia Mathematica, vol.512, 1993.

V. Nikora and D. Goring, Flow turbulence over fixed and weakly mobile gravel beds, J. Hydraul

G. Nord and M. Esteves, The effect of soil type, meteorological forcing and slope gradient on the simulation of internal erosion processes at the local scale, Hydrol. Process, vol.24, pp.1766-1780, 2010.
URL : https://hal.archives-ouvertes.fr/insu-00564674

M. Ouriémi, P. Aussillous, M. Medale, Y. Peysson, and E. Guazzelli, Determination of the critical Shields number for particle erosion in laminar flow, Phys. Fluids, vol.19, p.61706, 2007.

R. C. Paiva, W. Collischonn, and D. C. Buarque, Validation of a full hydrodynamic model for large-scale hydrologic modelling in the Amazon, Hydrol. Process, vol.27, pp.333-346, 2013.

R. L. Panton, Incompressible Flow, p.780, 1984.

C. Paola, P. L. Heller, A. , and C. L. , The large-scale dynamics of grain-size variation in alluvial basins. I: Theory, Basin Res, vol.4, pp.73-90, 1992.

C. Paola, K. Straub, D. Mohrig, and L. Reinhardt, The "unreasonable effectiveness" of stratigraphic and geomorphic experiments, Earth-Sci. Rev, vol.97, pp.1-43, 2009.

A. N. Papanicolaou, P. Diplas, C. L. Dancey, and M. Balakrishnan, Surface roughness effects in near-bed turbulence: implications to sediment entrainment, J. Eng. Mech.-ASCE, vol.127, pp.211-218, 2001.

G. Parker, On the cause and characteristic scales of meandering and braiding in rivers, J. Fluid Mech, vol.76, pp.457-480, 1976.

G. Parker, Self-formed straight rivers with equilibrium banks and mobile bed. Part 1: the sandsilt river, J. Fluid Mech, vol.89, pp.109-125, 1978.

G. Parker, Self-formed straight rivers with equilibrium banks and mobile bed. Part 2: the gravel 25 river, J. Fluid Mech, vol.89, pp.127-146, 1978.

G. Parker and N. L. Coleman, Simple model of sediment-laden flows, J. Hydraul. Eng, vol.112, pp.356-375, 1986.

G. Parker, Y. Fukushima, and H. M. Pantin, Self-accelerating turbidity currents, J. Fluid Mech, vol.171, pp.145-181, 1986.

A. J. Wainwright, J. Abraham, A. D. Simanton, and J. R. , Distributed dynamic modelling of interrill overland flow, Hydrol. Process, vol.11, pp.1833-1859, 1997.

A. J. Parsons, R. E. Brazier, J. Wainwright, and M. E. Powell, Scale relationships in hillslope runoff and erosion, Earth Surf, Proc. Land, vol.31, pp.1384-1393, 2003.

S. P. Perkins and A. D. Koussis, Stream-aquifer interaction model with diffusive wave routing, p.5

, J. Hydraul. Eng, vol.122, pp.210-218, 1996.

M. Perumal and R. K. Price, A fully mass conservative variable parameter McCarthy-Muskingum method: Theory and verification, J. Hydrol, vol.502, pp.89-102, 2013.

L. Peyras, P. Royet, and G. Degoutte, Flow and energy dissipation over stepped gabion weirs, J. Hydraul. Eng.-ASCE, vol.118, pp.707-717, 1992.

G. Pickup, A. Marks, D. Pokrajac, L. J. Campbell, V. Nikora et al., Regional scale sedimentation process models from airborne gamma ray remote sensing and digital elevation data, Earth Surf, Experiments in Fluids, vol.26, pp.413-423, 2001.

V. O. Polyakov and M. A. Nearing, Sediment transport in rill flow under deposition and detachment conditions, Catena, vol.51, pp.33-43, 2003.

V. M. Ponce, Generalized diffusive wave equation with inertial effects, Water Resour. Res, vol.26, pp.1099-1101, 1990.

V. M. Ponce and D. B. Simons, Shallow wave propagation in open channel flow, J. Hydr. Eng, vol.20

. Div, , vol.103, pp.1461-1476, 1977.

V. M. Ponce, R. M. Li, and D. B. Simons, Applicability of kinematic and diffusion models, J. Hydr. Eng. Div.-ASCE, vol.104, pp.353-360, 1978.

V. M. Ponce, A. K. Lohani, and C. Scheyhing, Analytical verification of Muskingum-Cunge routing, J. Hydrol, vol.174, pp.235-241, 1996.

D. M. Powell, Flow resistance in gravel-bed rivers: progress in research, Earth-Sci. Rev, vol.136, pp.301-338, 2014.

L. Prahl, A. Holzer, D. Arlov, J. Revstedt, M. Sommerfeld et al., Influence of periodic wall roughness on the slip behaviour at 30 liquid/solid interfaces: molecular-scale simulations versus continuum predictions, Int. J. Multiphas. Flow, vol.33, pp.25-46, 2006.

I. P. Prosser and P. Rustomji, Sediment transport capacity for overland flow, Prog. Phys. Geog, vol.24, pp.179-193, 2000.

I. P. Prosser, W. E. Dietrich, and J. Stevenson, Flow resistance and sediment transport by concentrated overland flow in a grassland valley, Geomorphology, vol.13, pp.71-86, 1995.

S. Rathburn and E. Wohl, Predicting sediment dynamics along a pool-riffle mountain channel, p.5

M. R. Geomorphology-;-raupach, Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers, J. Fluid Mech, vol.55, pp.363-382, 1981.

G. Rauws, Laboratory experiments on resistance to overland flow due to composite roughness, J. Hydrol, vol.103, pp.37-52, 1980.

, Rayleigh: Theory of sound, p.1877

K. V. Reddy, T. I. Eldho, E. P. Rao, and N. Hengade, A kinematic-wave-based distributed watershed model using FEM, GIS and remotely sensed data, Hydrol. Process, vol.21, pp.2765-2777, 2007.

O. Reynolds, An experimental investigation of the circumstances which determine whether the 15 motion of water shall be direct or sinuous, and of the law of resistance in parallel channels, Philos. T. R. Soc. Lond, vol.174, pp.935-982, 1883.

O. Reynolds, On the dynamical theory of incompressible viscous fluids and the determination of the criterion, Philos. T. R. Soc. Lond, vol.186, p.1895

D. Riabouchinsky, Méthode des variables de dimension zero et son application en aérody-20 namique, L'aérophile, vol.19, pp.407-408, 1911.

S. Richardson, On the no-slip boundary condition, J. Fluid Mech, vol.59, pp.707-719, 1973.

J. C. Ritchie and J. R. Mchenry, Application of Radioactive Fallout Cesium-137 for Measuring soil erosion and sediment accumulation rates and patterns: A review, J. Environ. Qual, vol.19, pp.215-233, 1990.

N. Roche, Modélisation du ruissellement sur surfaces rugueuses, p.213, 2006.

J. Rodellar, M. Gomez, and L. Bonet, Control method for on-demand operation of openchannel flow, J. Irrig. Drain. E.-ASCE, vol.119, pp.225-241, 1993.

R. J. Romanowicz, J. C. Dooge, and Z. W. Kundzewicz, Moments and cumulants of lin

H. Roux and D. Dartus, Use of parameter optimization to estimate a flood wave: Potential applications to remote sensing of rivers, J. Hydrol, vol.328, pp.258-266, 2006.

P. Rutschmann and W. H. Hager, Diffusion of floodwaves, J. Hydrol, vol.178, pp.19-32, 1996.

F. Saleh, A. Ducharme, N. Flipo, L. Oudin, and E. Ledoux, Impact of river bed morphology on discharge and water levels simulated by a 1-D Saint-Venant hydraulic model at regional 5 scale, J. Hydrol, vol.476, pp.169-177, 2013.

G. C. Sander, J. Y. Parlange, D. A. Barry, M. B. Parlange, and W. L. Hogarth, Limitation of the transport capacity approach in sediment transport modeling, Water Resour. Res, vol.43, p.2403, 2007.

J. Sau, P. Malaterre, and J. Baume, Sequential Monte-Carlo state estimation of an irri-10 gation canal, C. R. Mecanique, vol.338, pp.212-219, 2010.

H. Schlichting, Experimental investigation of the problem of surface roughness, Experimentelle Untersuchungenzum Rauhigkeitsproblem, vol.7, pp.1-34, 1936.

M. W. Schmeeckle and J. M. Nelson, Direct numerical simulation of bedload transport using a 15 local, dynamic boundary condition, Sedimentology, vol.50, pp.279-301, 2003.

M. W. Schmeeckle, J. M. Nelson, and R. L. Shreve, Forces on stationary particles in near-bed turbulent flows, Earth Surf. Proc. Land, vol.112, pp.241-262, 1996.

D. J. Sen and N. K. Garg, Efficient algorithm for generally varied flows in channel networks, J. Irrig. Drain. E.-ASCE, vol.128, pp.351-357, 2002.

S. Sharifi, M. Sterling, and D. W. Knight, A novel application of a multi-objective evolutionary algorithm in open channel flow modelling, J. Hydroinform, vol.11, pp.31-50, 2009.

B. Sheets, T. A. Hickson, P. , C. Shields, and A. , Assembling the stratigraphic record: Depositional 25 patterns and time-scales in an experimental alluvial basin, Mitteilungen der Preußischen Versuchsanstalt für Wasserbau und Schiffbau, vol.14, pp.287-301, 1936.

G. Simpson and S. Castelltort, Coupled model of surface water flow, sediment transport and morphological evolution, Computers and Geosciences, vol.32, pp.1600-1614, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00067817

N. S. Yevjevich and V. , Experimental verification of the Dressler curved-flow equations, J. Hydraul. Res, vol.25, pp.373-391, 1987.

M. Sivapalan, B. C. Bates, and J. E. Larsen, A generalized, non-linear, diffusion wave equation: theoretical development and application, J. Hydrol, vol.192, pp.1-16, 1997.

L. S. Sklar and W. E. Dietrich, A mechanistic model for river incision into bedrock by saltating 5 bed load, Water Resour. Res, vol.40, 2004.

O. Slaymaker, Towards the identification of scaling relations in drainage basin sediment budgets, Geomorphology, vol.80, 2006.

G. M. Smart, Sediment transport formula for steep channels, J. Hydraul. Eng, vol.110, pp.267-276, 1984.

J. D. Smith and S. R. Mclean, Spatially averaged flow over a wavy surface, J. Geophys. Res, vol.82, pp.1735-1746, 1977.

M. W. Smith, N. J. Cox, and L. J. Bracken, Applying flow resistance equations to overland flows, Prog. Phys. Geog, vol.31, pp.363-387, 2007.

R. E. Smith, D. C. Goodrich, D. A. Woolhiser, C. L. Unkrich, V. P. Singh et al., KINEROS -a kinematic 15 runoff and erosion model, Computer Models of Watershed Hydrology, pp.697-732, 1995.

O. R. Stein, C. V. Alonso, and P. Y. Julien, Mechanics of jet scour downstream of a headcut, J. Hydraul. Res, vol.31, pp.723-738, 1993.

P. Stevenson, R. B. Thorpe, and J. F. Davidson, Incipient motion of a small particle in the 20 viscous boundary layer at a pipe wall, Chem. Eng. Sci, vol.57, pp.4505-4520, 2002.

J. J. Stoker, Water waves, the mathematical theory with application, p.357, 1957.

G. G. Stokes, On the theories of internal friction of fluids in motion, Transactions of the Cambridge Philosophical Society, vol.8, pp.287-319, 1845.

A. N. Strahler, The nature of induced erosion and aggradation. in: Man's Role in Changing the Face of the Earth, pp.621-638, 1956.

S. Sundaresan, J. Eaton, D. L. Koch, and J. M. Ottino, Appendix 2: Report of study group on disperse flow, Int. J. Multiphas. Flow, vol.29, pp.1069-1087, 2003.

A. J. Sutherland, Proposed mechanism for sediment entrainment by turbulent flows, J. Geophys. Res, vol.72, pp.6183-6194, 1967.

J. P. Syvitski and J. D. Milliman, Geology, geography, and humans battle for dominance over the delivery of fluvial sediment to the coastal ocean, J. Geol, vol.115, pp.1-19, 2007.

L. Tatard, O. Planchon, J. Wainwright, G. Nord, D. Favis-mortlock et al., Measurement and modeling of high-resolution flow-velocity data under simulated rainfall on a low-slope sandy soil, J. Hydrol, vol.348, pp.1-12, 2008.

B. Tiemeyer, R. Moussa, B. Lennartz, and M. Voltz, MHYDAS-DRAIN : a spatially distributed model for small, artificially drained lowland catchments, Ecol. Model, vol.209, pp.2-20, 2007.

E. Todini and A. Bossi, PAB (Parabolic and Backwater): an unconditionnally stable flood routing scheme particularly suited for real time forecasting and control, J. Hydraul. Res, vol.24, pp.405-424, 1986.

M. A. Trigg, M. D. Wilson, P. D. Bates, M. S. Horritt, D. E. Alsdorf et al., Amazon flood wave hydraulics, J. Hydrol, vol.374, pp.92-105, 2009.

S. Turek, Efficient Solvers for Incompressible Flow Problems, p.352, 1999.

M. W. Van-heijst, G. Postma, X. D. Meijer, J. N. Snow, A. et al., Quantitative 15 analogue flume-model study of River-shelf systems: principles and verification examplified by the late quaternary Colorado River-delta evolution, Basin Res, vol.13, pp.243-268, 2001.

D. S. Van-maren, Grain size and sediment concentration effects on channel patterns of siltladen rivers, Sediment. Geol, vol.202, pp.297-316, 2007.

L. C. Van-rijn, Sediment transport, part I: bed load transport, J. Hydraul. Eng, vol.110, pp.1431-1451, 1984.

L. C. Van-rijn, Sediment transport, part II: suspended load transport, J. Hydraul. Eng, vol.110, pp.1613-1641, 1984.

V. A. Vanoni, Transportation of suspended sediment by water, Trans. Annu. Meet. Amer, vol.111, pp.67-133, 1946.

A. Vaschy, B. E. Vieux, Z. Cui, and A. Gaur, Evaluation of a physics-based distributed hydrologic model for flood forecasting, Annales Télégraphiques, vol.19, pp.155-177, 1892.

J. Wainwright, A. J. Parsons, E. N. Müller, R. E. Brazier, D. M. Powell et al., A transport-distance approach to scaling erosion rates: I. Background and model development

G. T. Wang and S. Chen, A semi-analytical solution of the Saint-Venant equations for channel flood routing, Water Resour. Res, vol.39, p.1076, 2003.

G. T. Wang, C. Yao, C. Okoren, C. , and S. , 4-Point FDF of Muskingum method based on the complete St Venant equations, J. Hydrol, vol.324, pp.339-349, 2006.

L. Wang, J. Q. Wu, W. J. Elliot, F. R. Fiedler, and S. Lapin, Linear diffusion wave channel 5 routing using a discrete Hayami convolution method, J. Hydrol, vol.509, pp.282-294, 2014.

Y. Wang, K. M. Straub, and E. A. Hajek, Scale-dependent compensational stacking: an estimate of time scales in channelized sedimentary deposits, Geology, vol.39, pp.811-814, 2011.

R. Weichert, Bed morphology and stability of steep open channels, vol.265, 2006.

J. Weisbach, Lehrbuch der Ingenieur-und Maschinen-Mechanik, p.1845

G. B. Whitham, P. L. Wiberg, and J. D. Smith, Calculations of the critical shear stress for motion of uniform and heterogeneous sediments, Water Resour. Res, vol.23, pp.1471-1480, 1987.

G. P. Williams, Flume width and water depth effects in sediment-transport experiments, US Geological Survey Professional Paper, vol.562, 1970.

R. M. Wu and D. J. Lee, Hydrodynamic drag on non-spherical floc and free-settling test, Water Research, vol.35, pp.3226-3234, 2001.

E. M. Yager, J. W. Kirchner, and W. E. Dietrich, Calculating bed load transport in steep boulder 20 bed channels, Water Resour. Res, vol.43, p.7418, 2007.

M. S. Yalin, Mechanics of sediment transport, 1977.

C. T. Yang, Unit stream power and sediment transport, J. Hydr. Div.-ASCE, vol.100, pp.1269-1272, 1974.

U. C. Zanke, On the influence of turbulence on the initiation of sediment motion, Int. J. Sediment Res, vol.18, pp.17-31, 2003.

J. G. Zhou, Velocity-depth coupling in shallow-water flows, J. Hydraul. Eng, vol.121, pp.717-724, 1995.

A. Zimmermann and M. Church, Channel morphology, gradient profiles and bed stresses

C. Neill and I. C. , Criteria for the choice of flood routing methods in natural channels, Hydrology and Water Resources, pp.75-81, 1982.