,
, Modeling rain-driven overland flow: Empirical versus analytical friction terms in the shallow water approximation, Journal of Hydrology, vol.536, pp.1-9, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01291414
, Slope = 2 %, Rain = 50 mm
, Slope = 5 %, Rain = 25 mm
, Water depth (top) and velocity (bottom) profiles along the slope at the steady stage (t = 599 s). Error bars are standard errors, Figure, vol.8
, Analysis of an open source quadtree grid shallow water flow solver for flood simulation, Quaternary International, pp.1-11, 2015.
, A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows, SIAM Journal on Scientific Computing, vol.25, issue.6, pp.2050-2065, 2004.
, A 2d Well-balanced Positivity Preserving Second Order Scheme for Shallow Water Flows on Unstructured Meshes, Journal of Computational Physics, vol.206, issue.1, pp.311-333, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00070738
, A simple inertial formulation of the shallow water equations for efficient twodimensional flood inundation modelling, Journal of Hydrology, vol.387, issue.1-2, pp.33-45, 2010.
, Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes, Journal of Computational Physics, vol.226, issue.1, pp.180-203, 2007.
, Modeling rain-driven overland flow: Empirical versus analytical friction terms in the shallow water approximation, Journal of Hydrology, vol.536, issue.8, pp.1049-1071, 1994.
URL : https://hal.archives-ouvertes.fr/hal-01291414
, On doing better hydrological science. Hydrological processes, vol.22, pp.3549-3553, 2008.
, Boundary Conditions for the Shallow Water Equations solved by Kinetic Schemes, Applied Mathematical Modelling, vol.31, issue.3, pp.490-498, 2001.
URL : https://hal.archives-ouvertes.fr/inria-00072305
, Experimental validation of two-dimensional depth-averaged models for forecasting rainfallrunoff from precipitation data in urban areas, Journal of Hydrology, vol.382, issue.1-4, pp.88-102, 2010.
, The hydraulics of open channel flow : an introduction, 2004.
, Open channel flow, 1959.
, Recherches expérimentales relatives au mouvement de l'eau dans les tuyaux, vol.1, 1857.
, Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et a l'introduction des marées dans leurs lit, Comptes Rendus des séances de l'Académie des Sciences, vol.73, pp.237-240, 1871.
, FullSWOF : a software for overland flow simulation, Advances in Hydroinformatics, pp.221-231, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00687689
, A limitation of the hydrostatic reconstruction technique for Shallow Water equations, Comptes Rendus Mathematique, vol.350, pp.677-681, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00710654
, Simulation of Rain-Water Overland-Flow, Proceedings of the 12th international conference on Hyperbolic Problems, pp.1-11, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00343721
, Overland flow and infiltration modelling for small plots during unsteady rain: Numerical results versus observed values, Journal of Hydrology, vol.228, issue.3-4, pp.265-282, 2000.
, Modeling rain-driven overland flow: Empirical versus analytical friction terms in the shallow water approximation, Proceedings of Rainfall Simulator Workshop, vol.536, pp.45-59, 1979.
URL : https://hal.archives-ouvertes.fr/hal-01291414
, Large-scale runoff generation -Parsimonious parameterisation using high-resolution topography, Hydrology and Earth System Sciences, vol.15, issue.8, pp.2481-2494, 1867.
, 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.
, Fundamental studies on the runoff analysis by characteristic. Disaster prevention research institute, pp.1-29, 1955.
, A New Approach to Linear Filtering and Prediction Problems, Transactions of the ASME-Journal of Basic Engineering, vol.82, pp.35-45, 1960.
, Central-upwind schemes for Saint-Venant system, Mathematical modelling and numerical analysis, vol.36, pp.397-425, 2002.
, A secondorder well-balanced positivity preserving central-upwind scheme for the Saint-Venant system, Communications in Mathematical Sciences, vol.5, issue.1, pp.133-160, 2007.
, On the flow of water in open channels and pipes. Transactions of the Institution of Civil Engineers of Ireland, vol.20, pp.161-207, 1890.
, Theoretical and numerical study of shallow water models: applications to nearshore hydrodynamics, 2005.
, Discussion on 'The European soil erosion model (EUROSEM): A dynamic approach for predicting sediment transport from fields and small catchments, Earth Surface Processes and Landforms, vol.24, issue.6, pp.563-565, 1999.
, raindropstimulated transportation in shallow-water flows: an experimental study. Sedimentary geology, vol.22, pp.165-184, 1979.
, An automated salt-tracing gauge for flow-velocity measurement. Earth Surface Processes and Landforms, vol.30, pp.833-844, 2005.
URL : https://hal.archives-ouvertes.fr/hal-02682751
, Comment citer ce document
, Modeling rain-driven overland flow: Empirical versus analytical friction terms in the shallow water approximation, Journal of Hydrology, vol.536, pp.1261-1285, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01291414
, Applying flow resistance equations to overland flows, Progress in Physical Geography, vol.31, issue.4, pp.363-387, 2007.
, Restoration of the Contact Surface in the HLL {Riemann} Solver, Shock Waves, vol.4, pp.25-34, 1994.
, Towards the Ultimate Conservative Difference Scheme, Journal of Computational Physics, vol.135, issue.2, pp.229-248, 1997.
, Mécanique des fluides appliquéeÉcoulements incompressibles. Presses de l'École Nationale des Ponts et Chaussées, 1998.
, Modeling of Two-Dimensional Overland Flow, Water Resources Research, vol.25, issue.9, pp.2019-2035, 1989.