]. T. Barth, A 3-D upwind Euler solver for unstructured meshes, 10th Computational Fluid Dynamics Conference, 1991.
DOI : 10.2514/6.1991-1548

T. J. Barth, Aspects of unstructured grids and finite volume solvers for the Euler and Navier-Stokes equations, Special Course on Unstructured Grid Methods for advection Dominated Flows, AGARD report 787, 1992.

T. J. Barth, Numerical Methods and Error Estimation for Conservation laws on Structured and Unstructured Meshes. VKI Computational Fluid Dynamics Lecture Series, 2003.

T. J. Barth and M. Ohlberger, Finite Volume Methods: Foundation and Analysis, Encyclopedia of Computational Mechanics, 2004.
DOI : 10.1002/0470091355.ecm010
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.403

M. Benzi, Preconditioning Techniques for Large Linear Systems: A Survey, Journal of Computational Physics, vol.182, issue.2, pp.418-477, 2002.
DOI : 10.1006/jcph.2002.7176

M. Benzi, D. B. Szyld, and A. V. Duin, Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems, SIAM Journal on Scientific Computing, vol.20, issue.5, pp.1652-1670, 1999.
DOI : 10.1137/S1064827597326845

P. Bonneton, E. Barthelemy, J. D. Carter, F. Chazel, and S. T. Cien, Fully nonlinear weakly dispersive modelling of wave transformation, breaking and runup, Preprint submitted to European Journal of Mechanics -B/Fluids, 2011.

M. Brocchini, A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics, Proc. R. Soc. A, 469, 2013.
DOI : 10.1098/rspa.2013.0496

A. I. Delis, I. K. Nikolos, and M. Kazolea, Performance and Comparison of Cell-Centered and??Node-Centered Unstructured Finite Volume Discretizations for??Shallow Water Free Surface Flows, Archives of Computational Methods in Engineering, vol.38, issue.7, pp.57-118, 2011.
DOI : 10.1007/s11831-011-9057-6

W. Asmar and O. Nwogu, FINITE VOLUME SOLUTION OF BOUSSINESQ-TYPE EQUATIONS ON AN UNSTRUCTURED GRID, Coastal Engineering 2006, pp.73-85, 2006.
DOI : 10.1142/9789812709554_0007

A. Engsig-karup, Unstructured Nodal DG-FEM Solution of High-order Boussinesq-type equations, 2006.

K. S. Erduran, Further application of hybrid solution to another form of Boussinesq equations and comparisons, International Journal for Numerical Methods in Fluids, vol.22, issue.5, pp.827-849, 2007.
DOI : 10.1002/fld.1307

C. Eskilsson and S. J. Sherwin, Spectral/hp discontinuous Galerkin methods for modelling 2D Boussinesq equations, Journal of Computational Physics, vol.212, issue.2, p.566, 2006.
DOI : 10.1016/j.jcp.2005.07.017

D. R. Fuhrman and B. A. Bingham, Numerical solutions of fully non-linear and highly dispersive Boussinesq equations in two horizontal dimensions, International Journal for Numerical Methods in Fluids, vol.44, issue.3, pp.231-255, 2004.
DOI : 10.1002/fld.628

D. R. Fuhrman and P. A. Madsen, Simulation of nonlinear wave run-up with a high-order Boussinesq model, Coastal Engineering, vol.55, issue.2, pp.139-154, 1981.
DOI : 10.1016/j.coastaleng.2007.09.006

M. F. Gobbi, J. T. Kirby, and G. Wei, A fully nonlinear Boussinesq model for surface waves. Part 2. Extension to O(kh)4, Journal of Fluid Mechanics, vol.405, p.181, 2000.
DOI : 10.1017/S0022112099007247

M. Kazolea, A. I. Delis, I. 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

M. Kazolea, A. I. Delis, and C. E. Synolakis, Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations, Journal of Computational Physics, vol.271, pp.281-305, 2014.
DOI : 10.1016/j.jcp.2014.01.030

P. Lynett and P. L. Liu, A two-layer approach to wave modelling, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.460, issue.2049, p.2637, 2004.
DOI : 10.1098/rspa.2004.1305

P. A. Madsen and O. R. Sørensen, A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry, Coastal Engineering, vol.18, issue.3-4, pp.183-204, 1992.
DOI : 10.1016/0378-3839(92)90019-Q

P. A. Madsen, O. R. Sørensen, and H. A. Schäffer, Surf zone dynamics simulated by a Boussinesq type model. Part I. Model description and cross-shore motion of regular waves, Coastal Engineering, vol.32, issue.4, pp.255-288, 1997.
DOI : 10.1016/S0378-3839(97)00028-8

O. Nwogu, Alternative Form of Boussinesq Equations for Nearshore Wave Propagation, Journal of Waterway, Port, Coastal, and Ocean Engineering, vol.119, issue.6, pp.618-638, 1994.
DOI : 10.1061/(ASCE)0733-950X(1993)119:6(618)

D. H. Peregrine, Long waves on a beach, Journal of Fluid Mechanics, vol.13, issue.04, pp.815-882, 1967.
DOI : 10.1017/S0022112067002605

M. Ricchiuto and A. G. Filippini, Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries, Journal of Computational Physics, vol.271, pp.306-341, 2014.
DOI : 10.1016/j.jcp.2013.12.048
URL : https://hal.archives-ouvertes.fr/hal-00826912

P. L. Roe, Approximate Riemann solvers, parameter vectors, and difference schemes, Journal of Computational Physics, vol.43, issue.2, pp.357-372, 1981.
DOI : 10.1016/0021-9991(81)90128-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.457.5978

V. Roeber, K. F. Cheung, and M. H. Kobayashi, Shock-capturing Boussinesq-type model for nearshore wave processes, Coastal Engineering, vol.57, issue.4, pp.407-423, 2010.
DOI : 10.1016/j.coastaleng.2009.11.007

Y. Saad, SPARSIT: A basic tool kit for sparse matrix computations, version 2, 1994.

Y. Saad, Iterative Methods for Sparse Linear Systems, 1996.
DOI : 10.1137/1.9780898718003

F. Shi, J. T. Kirby, J. C. Harris, J. D. Geiman, and S. T. Grilli, A highorder adaptive time-stepping tvd solver for boussinesq modeling of breaking waves and coastal inundation. Ocean Modelling, pp.43-4436, 2012.

T. M. Smith, M. F. Barone, and R. B. Bond, Comparison of Reconstruction Techniques for Unstructured Mesh Vertex Centered Finite Volume Schemes, 18th AIAA Computational Fluid Dynamics Conference, pp.1-22, 2007.
DOI : 10.2514/6.2007-3958

R. J. Spiteri and S. J. Ruuth, A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods, SIAM Journal on Numerical Analysis, vol.40, issue.2, p.469, 2002.
DOI : 10.1137/S0036142901389025

M. Tonelli and M. Petti, Hybrid finite volume ??? finite difference scheme for 2DH improved Boussinesq equations, Coastal Engineering, vol.56, issue.5-6, pp.609-620, 2009.
DOI : 10.1016/j.coastaleng.2009.01.001

B. Van-leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, Journal of Computational Physics, vol.32, issue.1, p.101, 1979.
DOI : 10.1016/0021-9991(79)90145-1

M. Walkey 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, p.865, 2002.
DOI : 10.1002/fld.349

G. Wei and J. T. Kirby, Time-Dependent Numerical Code for Extended Boussinesq Equations, Journal of Waterway, Port, Coastal, and Ocean Engineering, vol.121, issue.5, pp.251-261, 1995.
DOI : 10.1061/(ASCE)0733-950X(1995)121:5(251)