R. Abgrall, G. Baurin, A. Krust, D. De-santis, and M. Ricchiuto, Numerical approximation of parabolic problems by residual distribution schemes, International Journal for Numerical Methods in Fluids, vol.49, issue.11, pp.1191-1206, 2013.
DOI : 10.1002/fld.3710
URL : https://hal.archives-ouvertes.fr/hal-00647999

R. Abgrall, D. D. Santis, and M. Ricchiuto, Construction of a high order Residual Distribution scheme for complex viscous flows, Seventh International Conference on Computational Fluid Dynamics (ICCFD7), 2012.
URL : https://hal.archives-ouvertes.fr/hal-00716621

R. Abgrall and J. Trefilik, An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements, Journal of Scientific Computing, vol.59, issue.7, pp.3-25, 2010.
DOI : 10.1007/s10915-010-9405-y
URL : https://hal.archives-ouvertes.fr/inria-00403691

S. Adjerid, M. Aiffa, and J. E. Flaherty, Hierarchical finite element bases for triangular and tetrahedral elements, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.22-23, pp.2925-2941, 2001.
DOI : 10.1016/S0045-7825(00)00273-5

P. Amestoy, A. Guermouche, L. Jean-yves, S. Excellent, and . Pralet, Hybrid scheduling for the parallel solution of linear systems, Parallel Computing, vol.32, issue.2, pp.136-156, 2006.
DOI : 10.1016/j.parco.2005.07.004
URL : https://hal.archives-ouvertes.fr/hal-00358623

R. Patrick, I. S. Amestoy, . Duff, L. Jean-yves, J. Excellent et al., A fully asynchronous multifrontal solver using distributed dynamic scheduling, SIAM J. Matrix Anal. Appl, vol.23, issue.1, pp.15-41, 2001.

W. Asmar and O. Nwogu, Finite volume solution of boussinesq-type euations on an unstructured grid, Proc. of the 30 th Int. Conf. on Coastal Engineering, 2006.

T. J. Barth, Numerical Methods for Gasdynamic Systems on Unstructured Meshes, Lecture Notes in Computational Science and Engineering, vol.5, pp.195-285, 1998.
DOI : 10.1007/978-3-642-58535-7_5

S. Beji and K. Nadaoka, A formal derivation and numerical modeling of the improved boussinesq equations for varying depth, Ocean Engineering, vol.23, 1996.

M. J. Berger and R. J. Leveque, Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems, SIAM Journal on Numerical Analysis, vol.35, issue.6, 1998.
DOI : 10.1137/S0036142997315974

J. C. Berkhoff, N. Booy, and A. C. Radder, Verification of numerical wave propagation models for simple harmonic linear water waves, Coastal Engineering, vol.6, issue.3, pp.255-279, 1982.
DOI : 10.1016/0378-3839(82)90022-9

P. Bonneton, Modeling of periodic wave transformation in the inner surf zone, Ocean Engineering, vol.34, 2007.

P. Bonneton, F. Chazel, D. Lannes, F. Marche, and M. Tissier, A splitting approach for the fully nonlinear and wakly dispersive green-naghdi model, Journal of Computational Physics, vol.230, 2011.

P. Brufau and P. Garcia-navarro, Unsteady free surface flow simulation over complex topography with a multidimensional upwind technique, Journal of Computational Physics, vol.186, issue.2, pp.503-526, 2003.
DOI : 10.1016/S0021-9991(03)00072-X

R. Cienfuegos, E. Barthelemy, and P. Bonneton, A fourth order compact finite volume scheme for fully nonlinear and weakly dispersive boussinesq type equations. parti II: Boundary conditions and validation, Int. J. Numer. Meth. Fluids, vol.53, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00182841

L. Quartapelle and D. Ambrosi, A taylor-galerkin method for simulating nonlinear dispersive water waves, Journal of computational physics, vol.146, pp.546-569, 1998.

H. Deconinck and M. Ricchiuto, Residual Distribution Schemes: Foundations and Analysis, Encyclopedia of Computational Mechanics, 2007.
DOI : 10.1002/0470091355.ecm054
URL : https://hal.archives-ouvertes.fr/hal-00402592

H. Deconinck, M. Ricchiuto, and K. Sermeus, Introduction to residual distribution schemes and stabilized finite elements, VKI LS 2003-05, 33 rd Computational Fluid dynamics Course, von Karman Institute for Fluid Dynamics, 2003.

D. Dutykh, T. Katsaonis, and D. Mitsotakis, Finite volume schemes for dispersive wave propagation and runup, Journal of Computational Physics, vol.230, issue.8, 2011.
DOI : 10.1016/j.jcp.2011.01.003
URL : https://hal.archives-ouvertes.fr/hal-00472431

A. P. Engsig-karup, Unstructured nodal dg-fem solution of high order boussinesq type equations, 2006.

A. P. Engsig-karup, J. S. Hesthaven, H. B. Bingham, and T. Warburton, DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations, Coastal Engineering, vol.55, issue.3, 2008.
DOI : 10.1016/j.coastaleng.2007.09.005

C. Eskilsson and S. J. Sherwin, Spectral/hp discontinuous galerkin methods for modelling 2d boussinsq equations, Journal of Computational Physics, vol.210, 2006.

D. R. Fuhrman and H. Bingham, Numerical solution of fully nonlinear and highly dispersive boussinesq equations in two horizontal dimensions, Int. J. Numer. Meth. Fluids, p.44, 2004.

J. T. Kirby and G. Wei, A time-dependent numerical code for extended boussinesq equations, Journal of Waterway, Port, Coastal, and Ocean Engineering, vol.120, pp.251-261, 1995.

M. F. Gobbi, J. T. Kirby, and G. E. Wei, A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)4, Journal of Fluid Mechanics, vol.405, p.405, 2000.
DOI : 10.1017/S0022112099007247

N. Goutal, M. O. Bristeau, and J. Sainte-marie, Numerical simulation of a nonhydrostatic shallow water model, Computers&Fluids, vol.47, issue.1, 2011.

]. G. Hauke, A symmetric formulation for computing transient shallow water flows, Computer Methods in Applied Mechanics and Engineering, vol.163, issue.1-4, pp.111-122, 1998.
DOI : 10.1016/S0045-7825(98)00007-3

T. J. Hughes and A. Brook, Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comp. Meth. Appl. Mech. Engrg, vol.32, pp.199-259, 1982.

T. J. Hughes, J. A. Cottrell, and Y. Bazilevs, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.39-41, pp.39-414135, 2005.
DOI : 10.1016/j.cma.2004.10.008

T. J. Hughes and M. Mallet, A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems, Computer Methods in Applied Mechanics and Engineering, vol.58, issue.3, pp.329-336, 1986.
DOI : 10.1016/0045-7825(86)90153-2

T. J. Hughes, G. Scovazzi, and T. Tezduyar, Stabilized Methods for Compressible Flows, Journal of Scientific Computing, vol.190, issue.10, pp.343-368, 2010.
DOI : 10.1007/s10915-008-9233-5

P. H. Taylor, A. G. Orszaghova, and . Borthwick, From the paddle to the beach -a bousinesq shallow water numerical wave tank based on madsen and sørensen's equations, Journal of Computational Physics, vol.231, pp.328-344, 2012.

M. Kazolea, A. I. Delis, I. K. Nikolos, and C. E. Synolakis, An unstructured finite volume boussinesq model for near shore applications. presented at " Frontiers of Computational Physics : Modeling the Earth system, Boulder (CO), 2012.

M. Kazolea, A. I. Delis, I. K. Nikolos, and C. E. Synolakis, An unstructured finite volume numerical scheme for extended 2D Boussinesq-type equations, Coastal Engineering, vol.69, pp.42-66, 2012.
DOI : 10.1016/j.coastaleng.2012.05.008

D. Lannes and P. Bonneton, Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation, Physics of Fluids, vol.21, issue.1, 2009.
DOI : 10.1063/1.3053183

Y. S. Li, S. X. Liu, Y. X. Yu, and G. Lai, Numerical modelling of boussinesq equations by finite element method, Coastal Engineering, vol.37, 1999.

H. Nishikawa, A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes, Journal of Computational Physics, vol.227, issue.1, pp.315-352, 2007.
DOI : 10.1016/j.jcp.2007.07.029

O. Nwogu, An alternative form of the boussinesq equations for near-shore wave propagation, Journal of Waterway, Port, Coastal, and Ocean Engineering, pp.618-638, 1994.

L. Sørensen, O. R. Sørensen, and H. Shaffer, Boussinesq-type modelling using an unstructured finite element technique, Coastal Engineering, vol.50, issue.4, 2004.
DOI : 10.1016/j.coastaleng.2003.10.005

O. R. Sørensen and P. A. Madsen, A new form of the boussinesq equations with improved linear dispersion characteristics. part 2: a slowing varying bathymetry, Coastal Engineering, vol.18, pp.183-204, 1992.

D. H. Peregnine, Long waves on a beach, J.Fluid.Mech, p.27, 1967.

R. Remi, D. D. Santis, and M. Ricchiuto, High order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids, 2012.

M. Ricchiuto, On the C-property and Generalized C-property of??Residual Distribution for the Shallow Water Equations, Journal of Scientific Computing, vol.228, issue.1, pp.304-318, 2011.
DOI : 10.1007/s10915-010-9369-y
URL : https://hal.archives-ouvertes.fr/inria-00538844

M. Ricchiuto, R. Abgrall, and H. Deconinck, Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes, Journal of Computational Physics, vol.222, issue.1, pp.287-331, 2007.
DOI : 10.1016/j.jcp.2006.06.024
URL : https://hal.archives-ouvertes.fr/inria-00402649

M. Ricchiuto and A. Bollermann, Stabilized residual distribution for shallow water simulations, Journal of Computational Physics, vol.228, issue.4, pp.1071-1115, 2009.
DOI : 10.1016/j.jcp.2008.10.020
URL : https://hal.archives-ouvertes.fr/inria-00538892

J. A. Battjes and S. Beji, Numerical simulations of nonlinear-wave propagation over a bar, Coastal Engineering, vol.23, pp.1-16, 1994.

H. A. Schaffer and P. A. Madsen, Further enhancements of Boussinesq-type equations, Coastal Engineering, vol.26, issue.1-2, pp.1-14, 1995.
DOI : 10.1016/0378-3839(95)00017-2

M. Tissier, P. Bonneton, F. Marche, F. Chazel, and D. Lannes, A new approach to handle wave breaking in fully nonlinear boussinesq models, Coastal Engineering, vol.67, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00798996

M. Tonelli and M. Petti, Hybrid finite volume ??? finite difference scheme for 2DH improved Boussinesq equations, Coastal Engineering, vol.56, issue.5-6, 2009.
DOI : 10.1016/j.coastaleng.2009.01.001

M. A. Walkley, A numerical method for extended boussinesq shallow-water wave equations, 1999.

M. A. Walkley and M. Berzins, A finite element method for the two-dimensional extended Boussinesq equations, International Journal for Numerical Methods in Fluids, vol.7, issue.10, 2002.
DOI : 10.1002/fld.349

R. W. Whalin, The limit of applicability of linear wave refraction theory in a convergence zone, 1971.

C. H. Whiting and K. E. Jansen, A stabilized finite element formulation for the incompressible navier-stokes equations using a hierarchical basis, International Journal for Numerical Methods in Fluids, vol.35, 2001.