Effective Boundary Conditions for Laminar Flows over Periodic Rough Boundaries, Journal of Computational Physics, vol.147, issue.1, pp.187-218, 1998. ,
DOI : 10.1006/jcph.1998.6088
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. ,
DOI : 10.1137/S1064827503431090
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.401.8273
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.45, issue.1, pp.169-200, 2011. ,
DOI : 10.1051/m2an/2010036
URL : https://hal.archives-ouvertes.fr/hal-00355730
Characterization of the pressure drop in a 2d symmetrical pipe: some asymptotical, numerical and experimental comparisons, ZAMM, vol.85, issue.2, pp.141-146, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00363818
On Generalized Ventcel's Type Boundary Conditions for Laplace Operator in a Bounded Domain, SIAM Journal on Mathematical Analysis, vol.42, issue.2, pp.931-945, 2010. ,
DOI : 10.1137/090756521
Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 2. High-resolution numerical simulations, Journal of Fluid Mechanics, vol.514, pp.35-63, 2004. ,
DOI : 10.1017/S0022112004009991
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Frontiers in Mathematics, 2004. ,
Multi-Regime Shallow Free-Surface Flow Models for Quasi-Newtonian Fluids. working paper or preprint, 2013. ,
DOI : 10.1016/j.euromechflu.2015.10.005
URL : https://hal.archives-ouvertes.fr/hal-00877471
Mathematical Justification of a Shallow Water Model, Methods and Applications of Analysis, vol.14, issue.2, pp.87-118, 2007. ,
DOI : 10.4310/MAA.2007.v14.n2.a1
URL : https://hal.archives-ouvertes.fr/hal-00385922
Influence of wall roughness on the slip behaviour of viscous fluids, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.138, issue.05, pp.957-973, 2008. ,
DOI : 10.1017/S0308210507000376
Implicit schemes with large time step for non-linear equations: application to river flow hydraulics, International Journal for Numerical Methods in Fluids, vol.46, issue.6, pp.607-636, 2004. ,
DOI : 10.1002/fld.772
URL : https://digital.csic.es/bitstream/10261/86716/1/BurgueteJ_IntJNumMeth_2004.pdf
Finite volume method for simulating extreme flood events in natural channels, Journal of Hydraulic Research, vol.338, issue.2, pp.167-177, 2003. ,
DOI : 10.1016/S0045-7930(97)00071-6
Problématiques d'analyse numérique et de modélisation pourécoulementspourécoulements de fluides environnementaux. Theses, 2013. ,
Mécanique des fluides.Cépadù es edition, 2010. ,
Open-channel hydraulics, 1959. ,
Asymptotic analysis and boundary layers. Scientific Computation, 2007. ,
Effective boundary condition at a rough surface starting from a slip condition, Journal of Differential Equations, vol.251, issue.12, pp.3450-3487, 2011. ,
DOI : 10.1016/j.jde.2011.07.017
URL : https://hal.archives-ouvertes.fr/hal-00498555
Phénomène de séparation pour l'´ equation de prandtl stationnaire, Séminaire Laurent Schwartz ? EDP et applications, pp.1-18 ,
DOI : 10.5802/slsedp.80
SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies, International Journal for Numerical Methods in Fluids, vol.74, issue.3, pp.72269-300, 2013. ,
DOI : 10.1002/fld.3865
URL : https://hal.archives-ouvertes.fr/hal-00628246
Rain water overland flow on agricultural fields simulation. Theses, Université d'Orléans, 2010. ,
URL : https://hal.archives-ouvertes.fr/tel-00531377
A limitation of the hydrostatic reconstruction technique for Shallow Water equations, Comptes Rendus Mathematique, vol.350, issue.13-14, pp.13-14677, 2012. ,
DOI : 10.1016/j.crma.2012.08.004
URL : https://hal.archives-ouvertes.fr/hal-00710654
Simulation of rain-water overland-flow In Hyperbolic problems: theory, numerics and applications, Proc. Sympos. Appl. Math, vol.67, pp.537-546, 2009. ,
An improved viscous / inviscid velocity decomposition method, International Workshop on Water Waves and Floating Bodies (IWWWFB), 2011. ,
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.3-4265, 2000. ,
DOI : 10.1016/S0022-1694(00)00155-4
Finite volume methods and adaptive refinement for tsunami propagation and inundation, Thesis (Ph.D.)?, 2006. ,
Well-posedness for the Prandtl system without analyticity or monotonicity. ArXiv e-prints, 2013. ,
Relevance of the Slip Condition for Fluid Flows Near an Irregular Boundary, Communications in Mathematical Physics, vol.19, issue.2, pp.99-137, 2010. ,
DOI : 10.1007/s00220-009-0976-0
Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation, Discrete Contin. Dyn. Syst. Ser. B, vol.1, issue.1, pp.89-102, 2001. ,
URL : https://hal.archives-ouvertes.fr/inria-00072549
Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
Proceedings of the 2 nd workshop on dam-break wave simulation, 1997. ,
Modeling Overland Flow Contamination by Chemicals Mixed in Shallow Soil Horizons Under Variable Source Area Hydrology, Water Resources Research, vol.109, issue.3, pp.753-758, 1996. ,
DOI : 10.1016/0022-1694(89)90021-8
Contribution au développement d'une méthode SPH pour la simulation numérique des interactions houle-structure. Theses, 2008. ,
The effects of hydraulic resistance on dam-break and other shallow inertial flows, J. Fluid Mech, vol.501, pp.179-212, 2004. ,
A viscous layer model for a shallow water free surface flow. working paper or preprint, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01341563
Falling liquid films, Applied Mathematical Sciences, vol.176 ,
DOI : 10.1007/978-1-84882-367-9
Propagation and run-up of nearshore tsunamis with HLLC approximate Riemann solver, Ocean Engineering, vol.34, issue.8-9, pp.8-91164, 2007. ,
DOI : 10.1016/j.oceaneng.2006.07.001
The RNS/Prandtl equations and their link with other asymptotic descriptions: Application to the wall shear stress scaling in a constricted pipe, International Journal of Engineering Science, vol.43, issue.3-4, pp.3-4352, 2005. ,
DOI : 10.1016/j.ijengsci.2004.09.009
Interactive boundary layer (IBL) In Asymptotic methods in fluid mechanics: survey and recent advances, of CISM Courses and Lectures, pp.247-286, 2010. ,
Asymmetrical effects in a 2D stenosis, European Journal of Mechanics - B/Fluids, vol.26, issue.1, pp.83-92, 2007. ,
DOI : 10.1016/j.euromechflu.2006.05.003
A faster numerical scheme for a coupled system modeling soil erosion and sediment transport, Water Resources Research, vol.3, issue.8, pp.987-1005, 2015. ,
DOI : 10.1029/WR003i003p00753
Consistent section-averaged equations of quasi-one-dimensional laminar flow, Journal of Fluid Mechanics, vol.3, issue.008, pp.337-341 ,
DOI : 10.1146/annurev.fluid.36.050802.121918
Quadtree-adaptative tsunami modelling, Ocean Engineering, vol.61, issue.9, pp.1261-1285, 2011. ,
DOI : 10.1007/s10236-011-0438-z
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.374.7506
A new model of roll waves: comparison with Brock???s experiments, Journal of Fluid Mechanics, vol.10, pp.374-405, 2012. ,
DOI : 10.1098/rspa.1984.0079
An Analytical Solution for the Lateral Transport of Dissolved Chemicals in Overland Flow, Water Resources Research, vol.32, issue.3, pp.1031-1040, 1995. ,
DOI : 10.13031/2013.31089
Modeling film flows down inclined planes, The European Physical Journal B, vol.6, issue.2, pp.277-292, 1998. ,
DOI : 10.1007/s100510050550
Improved modeling of flows down inclined planes, The European Physical Journal B, vol.15, issue.2, pp.357-369, 2000. ,
DOI : 10.1007/s100510051137
URL : https://hal.archives-ouvertes.fr/hal-01025361
Boundary layer theory McGraw-Hill Series in Mechanical Engineering, 1968. ,
FLOW THROUGH CONSTRICTED OR DILATED PIPES AND CHANNELS: PART 1, The Quarterly Journal of Mechanics and Applied Mathematics, vol.29, issue.3, pp.343-376, 1976. ,
DOI : 10.1093/qjmam/29.3.343
Application of the transpiration method for aeroservoelastic prediction using CFD, 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, 1998. ,
DOI : 10.2514/6.1998-2071
ON THE IMPULSIVE MOTION OF A FLAT PLATE IN A VISCOUS FLUID, The Quarterly Journal of Mechanics and Applied Mathematics, vol.4, issue.2, pp.182-198, 1951. ,
DOI : 10.1093/qjmam/4.2.182
Water waves: The mathematical theory with applications, Pure and Applied Mathematics, 1957. ,
DOI : 10.1002/9781118033159
Unsteady computational fluid dynamics in aeronautics, volume 104 of Fluid Mechanics and its Applications ,
Case Study: Malpasset Dam-Break Simulation using a Two-Dimensional Finite Volume Method, Journal of Hydraulic Engineering, vol.128, issue.5, pp.460-472, 2002. ,
DOI : 10.1061/(ASCE)0733-9429(2002)128:5(460)
Perturbation Method in Fluid Mechanics, Journal of Applied Mechanics, vol.43, issue.1, 1975. ,
DOI : 10.1115/1.3423785
Linear and nonlinear waves, Pure and Applied Mathematics ,
DOI : 10.1002/9781118032954
An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries, 1957. ,