[. Références and . Ajami, Calibration of a semi-distributed hydrologic model for streammow estimation along a river system, Journal of Hydology, vol.298, issue.1, pp.112-135, 2004.

A. , SWAT: Model use, calibration, and validation, Transactions of the ASABE, vol.55, issue.4, pp.1491-1508, 2012.

. Audusse, A fast stable well-balanced scheme with hydrostatic reconstruction for shallow water ows, SIAM Journal on Scientiic Computing, vol.25, issue.6, pp.2050-2065, 2004.

A. , E. Bbbbbbb, and M. O. , A well-balanced positivity "second-order" scheme for shallow water ows on unstructured meshes, Journal of Computational Physics, vol.206, pp.311-333, 2005.

. Audusse, A simple well-balanced and positive numerical scheme for the shallow-water system, Communications in Mathematical Sciences, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01083364

. Beasley, . Huggins, D. B. Bbbbbbb, and L. F. Hhhhhhh, ANSWERS User's Manual, 1981.

[. Bechet, Detection of seasonal cycles of erosion processes in a black marl gully from a time series of high-resolution digital elevation models (dems), Earth Surf. Dynam, vol.4, pp.781-798, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01507419

[. Bello, A hllc riemann solver to compute shallow water equations with topography and friction, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00193944

. Références-[bermudez, Upwind scheme for the two-dimensional shallow water equations with variable depth using unstructured meshes, Comput. Methods Appl. Mech. Engrg, vol.155, pp.49-72, 1998.

C. Bbbbbbb and F. Fffffff, EEcient well-balanced hydrostatic upwind schemes for shallow-water equations, Journal of Computational Physics, vol.231, pp.4993-5015, 2012.

;. Berthon-et-marche, C. Bbbbbbb, and F. Mmmmmm, A positive preserving high order vfroe scheme for shallow water equations: a class of relaxation schemes, pp.1-26, 2008.

M. Bbbbbbbb, Debris--ow susceptibility assessment at the regional scale of the Southern French Alps, 2014.

[. Borah, Mathematical Models of Small Watershed Hydrology and Applications, chapitre DWSM -A dynamic watershed simulation model, pp.113-166, 2002.

J. M. Bbbbb and J. D. Hhhhhhh, A review of catchment experiments to determine the eeect of vegetation changes on water yield and evapotranspiration, Journal of Hydrology, vol.55, pp.3-23, 1982.

F. Bbbbbbb, Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-Balanced Schemes for Sources, 2004.

[. Bouchut-et-de-luna, ;. Bbbbbbb, F. Llll, and T. M. , A subsonic-well-balanced reconstruction scheme for shallow water ows, SIAM Journal on Numerical Analysis, vol.48, issue.5, pp.1733-1758, 2010.

[. Bouchut, On new erosion models of Savage-Hutter type for avalanches, Acta mechanica, vol.199, issue.1-4, pp.181-208, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00369433

[. Bouchut, A two-phase shallow debris ow model with energy balance, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.1, pp.101-140, 2015.

[. Bouchut, A new model of Saint Venant and Savage-Hutter type for gravity driven shallow water ows, C. R. Acad. Sci, vol.336, pp.531-536, 2003.

D. L. Bbbbbbbbbb and W. J. Rr, Agricultural management eeects on soil water processes part II: Green and ampt parameters for crusting soils, Transactions of the ASAE, vol.26, pp.1753-1757, 1983.

M. O. Bbbbbbb, B. Ccccccc, R. H. Bbbbbb, and A. T. Ccccc, Boundary conditions for the shallow water equations solved by kinetic schemes, Hydraulic properties of porous media, 1964.

[. Buuard, A sequel to a rough godunov scheme: application to real gases, Computers & Fluids, vol.29, pp.813-847, 2000.

V. Ccccccc, Semi-implicit nite diierence methods for the twodimensional shallow water equations, Journal of Computational Physics, vol.86, pp.56-74, 1990.

[. Cea, Experimental validation of a 2D overland ow model using high resolution water depth and velocity data, Journal of Hydrology, vol.513, pp.142-153, 2014.

N. Ccccccccc, Comparison of innltration models to simulate ood events at the eld scale, Journal of Hydrology, vol.306, pp.191-214, 2005.

G. Cccc and S. Nnnnnn, A new hydrostatic reconstruction scheme based on subcell reconstructions, SIAM Journal on Numerical Analysis, vol.55, issue.2, pp.758-784, 2017.

S. T. Ccc, Innltration during an unsteady rain, Water Resources Research, vol.14, issue.3, pp.461-466, 1978.

[. Courant, On the partial diierence equations of mathematical physics, IBM journal of Research and Development, vol.11, issue.2, pp.215-234, 1967.

. Coussot, . Meunier, P. Cccccc, and M. Mmmmmmm, Recognition, classiication and mechanical description of debris ows, Earth-Science Reviews, vol.40, pp.209-227, 1996.

A. Cccc, Etude et modélisation de la dynamique de fonctionnement hydrologique des bassins versants torrentiels marneux, 2005.

J. A. Ccccc and M. Wwwwww, Intégration numérique des équa-tions d'écoulement de barré de saint-venant par un schéma implicite de diiérences nies, La houille blanche, vol.1, pp.33-39, 1964.

S. De and A. B. , Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit, 1871.

O. Dddddddd, Simulation du ruissellement d'eau de pluie sur des surfaces agricoles, 2010.

. Références-[delestre, Fullswof: A software for overland ow simulation, Advances in hydroinformatics, pp.221-231, 2014.

[. Delestre, A limitation of the hydrostatic reconstruction technique for shallow water equations, Comptes Rendus de l'Académie des Sciences -Series I, vol.350, pp.677-681, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00710654

J. ;. Delestre, O. Dddddddd, and F. Jjjjj, Simulation of rainfall events and overland ow, Monografías Matemáticas, pp.1-11, 2009.

B. Ddddddd, Solveur de roe positivement conservatif, C. R. Acad. Sci. Paris, Ser. I, vol.329, pp.827-832, 1999.

. Esteves, Soil hydraulic properties in a marly gully catchment, Catena, vol.63, pp.282-298, 2005.
URL : https://hal.archives-ouvertes.fr/ird-02153554

. Esteves, Overland ow and innltration modelling for small plots during unsteady rain: numerical results versus observed values, Journal of Hydrology, vol.228, pp.265-282, 2000.

[. Ewen, SHETRAN: distributed river basin ow and transport modeling system, Journal of Hydrologic Engineering, vol.5, issue.3, pp.250-258, 2000.

. Fiedler, . Ramirez, F. R. Fffffff, and J. A. Rrrrrrr, A numerical method for simulating discontinuous shallow ow over an innltrating surface, Int. J. Numer. Meth. Fluids, vol.32, pp.219-240, 2000.

[. Foster, CREAMS: A eld scale model for Chemicals, Runoo, and Erosion From Agricultural Management Systems, chapitre A Model to Estimate Sediment Yield From Filed-Sized Areas: Development of Model, pp.36-64, 1980.

[. Gallouet, Some approximate godunov schemes to compute shallow-water equations with topography, Computers & Fluids, vol.32, pp.479-513, 2003.
URL : https://hal.archives-ouvertes.fr/hal-01290889

G. Et-iverson, ;. Gggggg, D. L. Iiiiiii, and R. M. , A depth-averaged debris--ow model that includes the eeects of evolving dilatancy. ii. numerical predictions and experimental tests, Proceedings of the Royal Society, vol.470, p.20130820, 2014.

J. F. Gggggg and B. Pppppppp, Derivation of viscous saint venant system for laminar shallow water; numerical validation, Discrete and Continuous Dynamical Systems, vol.1, issue.1, pp.89-102, 2001.

[. Gerten, , 2004.

, Terrestrial vegetation and water balance -hydrological evaluation of a dynamic global vegetation model, Journal of Hydrology, vol.286, pp.249-270

[. Gottardi, ;. Venutelli, G. Gg, and M. Vvvvvvvvv, A control-volume niteelement model for two-dimensional overland ow, Advances in Water Resources, vol.16, issue.5, pp.277-284, 1993.

N. Gggg and F. Mm, A nite volume solver for 1D shallowwater equations applied to an actual river, International Journal for Numerical Methods in Fluids, vol.38, issue.1, pp.1-19, 2002.

R. S. Gg, Artiicial neural networks in hydrology. I: Preliminary concepts, Journal of Hydrologic Engineering, vol.5, issue.2, pp.115-123, 2000.

. Graham, . Butts, D. N. Gggggg, and M. B. Bbbbb, Watershed models, chapitre Flexible integrated watershed modelling with MIKE SHE, pp.245-272, 2005.

;. Grangeon and T. Gggggggg, Etude multi-échelle de la granulométrie des particules nes générées par érosion hydrique : apports pour la modélisation, 2013.

[. Gray, Gravity-driven free surface ow of granular avanlanches over complex basal topography, Proceedings of the Royal Society A, vol.455, pp.1841-1874, 1999.

W. H. Ggggg and G. A. Aaaa, Studies on soil physics, The Journal of Agricultural Science, vol.4, pp.1-17, 1911.

. Greenberg, . Leroux, J. M. Ggggggggg, and A. Y. Llrrrr, A well-balanced scheme for the numerical processing of source terms in hyperbolic equations, SIAM Journal on Numerical Analysis, vol.33, issue.1, pp.1-16, 1996.

[. Harten, On upstream diierencing and godunov-type schemes for hyperbolic conservation laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983.

[. Heniche, A twodimensional nite element drying-wetting shallow water model for rivers and estuaries. Advances in Water Resources, vol.23, pp.359-372, 2000.

J. M. Hhhh, Free Surface Flows modelling with the nite element method, 2007.

J. M. Hhhh, Latest news on distributive schemes and dry zones : the eria scheme, Telemac-Mascaret User Conference, 2016.

;. Références-[hibbert and A. R. Hhhhhhh, Forest treatment eeects on water yield, 1965.

;. Horton and R. E. Hhhh, The role of innltration in the hydrologic cycle, pp.446-460, 1933.

;. Iverson and R. M. Iiiiiii, Landslide triggering by rain innltration, Water Resources Research, vol.36, issue.7, pp.1897-1910, 2000.

G. ;. Iverson, R. M. Iiiiiii, and D. L. Gggggg, A depth-averaged debris--ow model that includes the eeects of evolving dilatancy. i. physical basis, Proceedings of the Royal Society A, vol.470, p.20130819, 2014.

. Iverson, The perfect debris ow? Aggregated results from 28 large-scale experiments, Journal of Geophysical Research: Earth Surface, p.115, 2010.

;. Jetten and V. Jjjjjj, OpenLISEM -a spatial model for runoo, 2013.

[. Julien, Modeling watershed erosion with CASC2D. River, Coastal and Estuarine Morphodynamics, pp.1089-1098, 2006.

P. Y. Jjjjjj, P. Y. Jjjjjj, and B. Ss, CASC2D user's manual: a twodimensional watershed rainfall-runoo model, CER, vol.90, pp.91-103, 1998.

;. Kinnell and P. I. Kkkkkkk, The mechanics of raindrop-induced ow transport, Australian Journal of Soil Research, vol.28, pp.497-516, 1990.

[. Kirstetter, , 2015.

P. , S. Fffffff, J. M. Jjjjjjjjj, and C. , Modeling rain-driven overland ow: empirical versus analytical friction terms in the shallow water approximation, Journal of Hydrology, vol.536, pp.1-9, 2015.

. Krause, . Kralish, P. Kkk, and S. Kkkkkkk, The hydrological modelling system j2000-knowledge core for jams, MODSIM 2005 International Congress on Modelling and Simulation, pp.676-682, 2005.

[. Kurganov, ;. Petrova, A. Ppppp, and G. , A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system, Communications in Mathematical Sciences, vol.5, pp.133-160, 2007.

D. S. Ll, Macroscale surface roughness and frictional resistance in overland ow, Earth Surface Processes and Landforms, vol.22, pp.365-382, 1997.

[. Bbbbbbbbbb and C. , Dégradation des sédiments marneux et suspensions hyperconcentrées, 2011.

L. Bouteiller, Observatoire hydrosédimentaire de montagne Draix-Bléone, 2015.

L. Hir, ;. Ll-hhh, and P. , Aide mémoire à la dynamique sédimentaire. Rapport technique, 2008.

[. Leavesley, Precipitation-runoo modeling system: User's manual, 1983.

[. Legout, High spatial resolution mapping of surface velocities and depths for shallow overland ow, Earth Surface Processes and Landforms, vol.37, pp.984-993, 2012.

[. Lindström, Development and test of the distributed hbv-96 hydrological model, Journal of Hydrology, vol.201, issue.1-4, pp.272-288, 1997.

[. Lohmann, Regional scale hydrology: I. formulation of the vic-2l model coupled to a routing model, Hydrological Sciences Journal, vol.43, issue.1, pp.131-141, 1998.

[. Lukey, Test of the SHETRAN technology for modelling the impact of reforestation on badlands runoo and sediment yield at Draix, France, Journal of Hydrology, vol.235, pp.44-62, 2000.

[. Macdonald, , 1997.

, Analytic benchmark solutions for open-channel ows, Journal of Hydraulic Engineering, vol.123, pp.1041-1046

G. ;. Madsen, O. S. Mmmmmm, and W. D. Ggggg, Coastal Engineering, chapitre Quantitative Description of Sediment Transport by Waves, pp.1093-1112, 1976.

F. Mmmmmm, Spatialisation et modélisation de l'état hydrique des sols pour l'étude des processus de formation des écoulements en contexte torrentiel : application au bassin versant marneux du Laval, 2018.

;. Mathys and N. Mm, Analyse et modélisation à diiérentes échelles des mécanismes d'érosion et de transport de matériaux solides, 2006.

R. G. Mein-et-larson-;-mmmm and C. L. Llllll, Modeling innltration during a steady rain, Water Resources Research, vol.9, pp.384-394, 1973.

M. A. Références-[melton-;-mmm, The geomorphic and paleoclimatic signiicance of alluvial deposits in southern arizona, Journal of Geology, vol.73, issue.1, pp.1-38, 1965.

[. Merten, EEect of sediment load on soil detachment and deposition in rills, Soil Sci. Soc. Am, vol.65, pp.861-868, 2001.

. Michel-dansac, A wellbalanced scheme for the shallow-water equations with topography, Computers & Mathematics with Applications, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01247813

;. Mockus and V. Mmmmmm, National Engineering Handbook, chapitre Estimation of Direct Runoo from Storm Rainfall. United States Department of Agriculture, 1972.

D. ;. Montgomery, D. R. Mmmm, and W. E. Dddddddd, A physically based model for the topographic control on shallow landsliding, Water Resources Research, vol.30, issue.4, pp.1153-1171, 1994.

. Monthe, Positivity preserving nite volume roe schemes for transport-diiusion equations, Comput. Methods Appl. Mech. Engrg, vol.178, pp.215-232, 1999.

. Montrasio, . Valentino, L. Mmmmmmmmm, V. , and R. , A model for triggering mechanisms of shallow landslides, Natural Hazards and Earth System Sciences, vol.8, pp.1149-1159, 2008.

H. J. Mmmmmmssss, Derivation of equations for variable rainfall innltration, Water Resources Research, vol.14, pp.561-568, 1978.

. Morel-seytoux, ;. Khanji, H. J. Mmmmmmssss, and J. Kkkkkk, Derivation of an equation of innltration, Water Resources Research, vol.10, pp.795-800, 1974.

. Morton, D. M. Mmmm, and R. H. Cccccccc, Spring muddows at wrightwood southern california, Quarterly Journal of Engineering Geology and Hydrogeology, vol.7, pp.377-384, 1974.

. Moss, Raindrop-stimulated transportation in shallow water ows: an experimental study, Sedimentary geology, vol.22, pp.165-184, 1979.

[. Mugler, Comparison of roughness models to simulate overland ow and tracer transport experiments under simulated rainfall at plot scale, Journal of Hydrology, vol.402, pp.25-40, 2011.

[. Murillo, ;. Garcia-navarro, J. Mmmmmmm, and P. Ggggggnn, Augmented versions of the hll and hllc riemann solvers including source terms in one and two dimensions for shallow ow applications, Journal of Computational Physics, vol.231, pp.6861-6906, 2012.

J. E. Nnnn, The form of the instantaneous Unit Hydrograph, International Association of Scientiic Hydrology, vol.3, pp.114-121, 1957.

. Nietsch, Soil and Water Assessment Tool Theoretical Documentation, 2000.

N. , Well-balanced nite volume schemes of arbitrary order of accuracy for shallow water ows, Journal of Computational Physics, vol.213, pp.474-499, 2006.

G. Nnnn, Modélisation à base physique des processus de l'érosion hydrique à l'échelle de la parcelle, 2006.

G. Nnnn and M. Eeeeeee, PSEM2D: A physically based model of erosion processes at the plot scale, Water Resources Research, p.41, 2005.

;. Obrien-et-julien, J. S. Oooooo, and P. Y. Jjjjjj, Laboratory analysis of muddow properties, Journal of hydraulic engineering, vol.114, issue.8, pp.877-887, 1988.

[. Obrien, Two-dimensional water ood and muddow simulation, Journal of Hydraulic Engineering, vol.119, pp.244-261, 1993.

D. J. Ooooo-w and P. Eeeeeeeeeee, Erosion and sediment transport on steep marly hillslopes, draix, haute-provence, france: an experimental eld study, Catena, vol.33, pp.179-200, 1998.

P. and J. , A high resolution nite volume model for 1d debris ow, Journal of Hydro-environement Research, vol.9, pp.145-155, 2015.

P. and G. , A Three-Dimensional Variably-Saturated Subsurface Modelling System for River Basins, 1996.

. Paulus, Innovative modelling of 3D unsaturated ow in porous media by coupling independent models for vertical and lateral ows, Journal of Computational and Applied Mathematics, vol.246, pp.38-51, 2013.

[. Pelanti, A riemann solver for single-phase and two-phase shallow ow models based on relaxation. relations with roe and vfroe solvers, Journal of Computational Physics, vol.230, pp.515-550, 2011.

J. B. Pppppp, The theory of innltration, chapitre The innltration equation and its solution, pp.345-357, 1957.

;. Références-[pierson, T. C. Ppppppp, and . Planchon, Hyperconcentrated ow -transitional process between water ow and debris ow, Debris--ow hazards and related phenomena, vol.30, pp.833-844, 2005.

S. P. Ppp, A general two-phase debris ow model, Journal of Geophysical Research: Earth Surface, issue.F3, p.117, 2012.

D. Rrrrrrr and N. Mm, Historique, contexte technique et scientiiquedes BVRE de Draix. Caractéristiques, données disponibles et principaux résultats acquis au cours de dix ans de suivi, Les bassins versants expérimentaux de Draix, 1999.

L. A. Richards-;-rrrrrrrr, Capillary conduction of liquids through porous mediums, Physics, vol.1, issue.5, pp.318-333, 1931.

D. Rrrrrrrrrr, Hyperconcentrated ow and sediment transport at steep slopes, Journal of hydraulic engineering, vol.117, issue.11, pp.1419-1439, 1991.

P. L. Rrr, Approximate Reimann solvers, parameter vectors, and diierence schemes, Journal of Computational Physics, vol.43, pp.357-372, 1981.

R. Ssssssss, The dynamics of nite-diierence models of the shallowwater equations, Journal of the Atmospheric Sciences, vol.32, pp.680-689, 1975.

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

W. A. Sssssssssssss, Hydrologic Modeling System HEC-HMS Users manual, 2001.

;. Schulla and J. Sssssss, Model Description WaSiM. Swiss Federal Institute of Technology, 2012.

M. Ssssss and M. Mm, Runoo of pesticides: achievements and limitations of modelling agrochemical dislocation from non-point sources at various landscape related scales, Living Rev. Landscape Res, vol.1, 2007.

;. Arnold, R. E. Sssssss, and H. Aaaaaa, Hydrological models for application to small rural catchments in southern africa: Reenements and development, 1984.

;. Sharma-et-nakagawa, R. H. Ssssss, and H. Nnnn, Shallow landslide modelling for heavy rainfall events, Annals of Disaster Prevention Research, issue.48B, 2005.

R. P. Sssss and L. H. Nnnnnn, Muddows of 1941 at wrightwood, southern california, Bulletin of the Geological Society of America, vol.64, pp.547-560, 1953.

[. Singh, Hydrological modeling of the iroquois river watershed using hspf and swat1, 2005.

;. Singh and V. P. Sssss, Is hydrology kinematic? Hydrological Processes, vol.16, pp.667-716, 2002.

[. Sitch, , 2003.

, Evaluation of ecosystem dynamics, plant geography and terrestrial carbon cycling in the lpj dynamic global vegetation model, Global Change Biology, vol.9, issue.2, pp.161-185

[. Smith, Modeling innltration for multistorm runoo events, Water Resources Research, vol.29, issue.1, pp.133-144, 1993.

[. Smith, , 1995.

, Computer Models of Watershed Hydrology, chapitre KINEROS -a Kinematic Runoo and Erosion Model, pp.697-732

P. Sssssss, Méthodes numérique pour les écoulements souterrains et couplage avec le ruissellement, 2008.

R. L. Sssssss, Dynamics of marine sands, a manual for practical applications, 1997.

T. S. Sssssssss, M. Van-der, and W. H. , The thornthwaite-mather procedure as a simple engineering method to predict recharge, Journal of Hydrology, vol.84, issue.3-4, pp.221-229, 1986.

;. Takahashi and T. , Debris ow: Mechanics, Prediction and Countermeasures, 2007.

&. Taylor and . Francis,

[. Tatard, Measurement and modelling of high-resolution ow-velocity data under simulated rainfall on a low-slope sandy soil, Journal of Hydrology, vol.348, pp.1-12, 2008.

. Thiéry, D. Tttttt, and N. Aaaa, Hydrological modelling of the saone basin sensitivity to the soil model, Part B: Hydrology, Oceans and Atmosphere, vol.26, issue.5, pp.467-472, 2001.

E. F. Références-[toro-;-t, Riemann Solvers and Numerical Methods for Fluid Dynamics, 2009.

[. Toro, Restoration of the contact surface in the HLL-Riemann solver, Shock Waves, vol.4, pp.25-34, 1994.

Y. ;. Tsai, T. Tttt, Y. Et, and J. , Modeling of rainfall-triggered shallow landslide, Environmental Geology, vol.50, issue.4, pp.525-534, 2006.

[. Van-genuchten-;-v-ggggggggg and M. T. , A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am, vol.44, pp.892-898, 1980.

[. Van-rijn-;-v-rrrr and L. C. , Sediment Transport, Part II: Suspended Load Transport, pp.1613-1641, 1984.

;. Vazquez-cendon and E. Vcccccc, Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry, Journal of Computational Physics, vol.148, pp.497-526, 1999.

;. Vázquez-cendón and E. Vcccccc, Solving Hyperbolic Equations with Finite Volume Methods, 2015.

W. Walling, D. E. Wwww, and B. W. , Sediment availability and the prediction of storm-period sediment yields. Recent developments in the explanation and prediction of erosion and sediment yield, vol.137, pp.327-337, 1982.

[. Wang, Gis-based two-dimensional numerical simulation of rainfall-induced debris ow, Natural Hazards and Earth System Sciences, vol.8, pp.47-58, 2008.

. Widen-nilsson, Global waterbalance modelling with wasmod-m: Parameter estimation and regionalisation, Journal of Hydrology, vol.340, issue.1-2, pp.105-118, 2007.

[. Wigmosta, Mathematical models of small watershed hydrology and applications, chapitre The distributed hydrology soil vegetation model, pp.7-42, 2002.

W. and G. P. , Sediment concentration versus water discharge during single hydrologic events in rivers, Journal of Hydrology, vol.111, issue.1-4, pp.89-106, 1989.

[. Wu, Flow models of uidized granular massas with diierent basal resistance terms, Geomechanics and Engineering, vol.8, issue.6, pp.811-828, 2015.

[. Xia, An eecient and stable hydrodynamic model with novel source term discretization schemes for overland ow and ood simulations, Water Resources Research, p.53, 2017.

;. Xu and K. , A well-balanced gas-kinetic scheme for the shallow-water equations with source terms, Journal of Computational Physics, vol.178, issue.2, pp.533-562, 2002.

Y. and Z. J. , The eeect of suspended sediment concentration on the settling velocity of cohesive sediment in quiescent water, Ocean Engineering, vol.31, pp.1955-1965, 2004.

U. Zzzzz and . Özgen, Upscaling the shallow water model with a novel roughness formulation, Environ. Earth Sci, vol.74, pp.7371-7386, 1977.

[. Zhang, Theory and preliminary experimental veriication of the directional diierence of overland ow resistance in distributed hydrological models, Water Science and Technology: Water Supply, vol.18, issue.6, pp.2142-2150, 2018.

C. Zhang, W. Zzzzz, and T. W. Cccc, Modeling of two-dimensional overland ow, Water Resources Research, vol.25, issue.9, pp.2019-2035, 1989.