A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows, SIAM J. Sci. Comput, vol.25, pp.2050-2065, 2004. ,
A mathematical model for unsteady mixed flows in closed water pipes, Sci. China. Math, vol.55, pp.221-244, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00599656
A numerical scheme for an improved green-naghdi model in the camassa-holm regime for the propagation of internal waves, Comput. Fluids, vol.156, pp.283-304, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01450221
Numerical simulation of strongly nonlinear and dispersive waves using a green-naghdi model, J. Sci. Comput, vol.48, pp.105-116, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00482561
A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive boussinesq-type equations. part ii: boundary conditions and validation, Int. J. Numer. Methods. Fluids, vol.53, pp.1423-1455, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00268892
Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02444355
Asymptotic derivation of the section-averaged shallow water equations for natural river hydraulics, Math. Models Methods Appl. Sci, vol.19, pp.387-417, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00275460
, honor of the 90th birthday of Ivo Babuska and 85th birthday of Milan Práger and Emil Vitásek, pp.17-33, 2015.
Energy equation for certain approximate models of long-wave hydrodynamics, Russ. J. Numer. Anal. Math. Model, vol.29, pp.167-178, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00998927
Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation, Discrete. Continuous. Dyn. Syst. Ser. B, vol.1, pp.89-102, 2001. ,
URL : https://hal.archives-ouvertes.fr/inria-00072549
A finite volume solver for 1d shallow-water equations applied to an actual river, Int. J. Numer. Methods. Fluids, vol.38, pp.1-19, 2002. ,
A derivation of equations for wave propagation in water of variable depth, J. Fluid Mech, vol.78, pp.237-246, 1976. ,
, The Water Waves Problem: Mathematical Analysis and Asymptotics, vol.188, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01101991
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation, Phys. Fluids, vol.21, p.16601, 2009. ,
A new class of fully nonlinear and weakly dispersive green-naghdi models for efficient 2d simulations, J. Comput. Phys, vol.282, pp.238-268, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00932858
Nonlinear wave-current interactions in shallow water, stud. appl. math, vol.136, pp.382-423, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01331247
Calculations of the development of an undular bore, J. Fluid Mech, vol.25, pp.321-330, 1966. ,
Théorie du mouvement non-permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit, C. R. Acad. Sci, vol.73, pp.147-154, 1871. ,
Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle, J. Fluid Mech, vol.176, pp.117-134, 1987. ,