A. Bermudez and M. E. Vazquez-cendon, Upwind methods for hyperbolic conservation laws with source terms, Computers & Fluids, vol.23, issue.8, pp.1049-1071, 1994.
DOI : 10.1016/0045-7930(94)90004-3

M. E. Hubbard and P. Garcia-navarro, Flux Difference Splitting and the Balancing of Source Terms and Flux Gradients, Journal of Computational Physics, vol.165, issue.1, pp.89-125, 2000.
DOI : 10.1006/jcph.2000.6603

E. F. Toro and P. G. Navarro, Godunov-type methods for free surface shallow water flows: a review, J.Hydraul.Res, vol.45, p.746, 2007.

G. Russo, Central schemes for balance laws, Hyperbolic Problems: Theory, Numerics, Applications, pp.821-829, 2001.

A. Kurganov and D. Levy, Central-Upwind Schemes for the Saint-Venant System, ESAIM: M2AN, pp.397-425, 2002.
DOI : 10.1051/m2an:2002019

A. Kurganov and G. Petrova, A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System, Communications in Mathematical Sciences, vol.5, issue.1, pp.133-160, 2007.
DOI : 10.4310/CMS.2007.v5.n1.a6

B. D. Rogers, A. Borthwick, and P. Taylor, Mathematical balancing of flux gradient and source terms prior to using Roe???s approximate Riemann solver, Journal of Computational Physics, vol.192, issue.2, pp.422-451, 2003.
DOI : 10.1016/j.jcp.2003.07.020

Q. Liang and A. G. Borthwick, Adaptive quadtree simulation of shallow flows with wet???dry fronts over complex topography, Computers & Fluids, vol.38, issue.2, pp.221-234, 2009.
DOI : 10.1016/j.compfluid.2008.02.008

Q. Liang and F. Marche, Numerical resolution of well-balanced shallow water equations with complex source terms, Advances in Water Resources, vol.32, issue.6, pp.873-884, 2009.
DOI : 10.1016/j.advwatres.2009.02.010
URL : https://hal.archives-ouvertes.fr/hal-00799080

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

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. Bollerman, Stabilized residual distribution for shallow water simulations, Journal of Computational Physics, vol.228, issue.4, pp.1071-111, 2009.
DOI : 10.1016/j.jcp.2008.10.020
URL : https://hal.archives-ouvertes.fr/inria-00538892

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, An explicit residual based approach for shallow water flows, Journal of Computational Physics, vol.280, pp.306-344, 2015.
DOI : 10.1016/j.jcp.2014.09.027
URL : https://hal.archives-ouvertes.fr/hal-01087940

F. Alauzet, P. Frey, P. L. George, and B. Mohammadi, 3D transient fixed point mesh adaptation for time-dependent problems: Application to CFD simulations, Journal of Computational Physics, vol.222, issue.2, pp.592-623, 2007.
DOI : 10.1016/j.jcp.2006.08.012

D. Isola, A. Guardone, and G. Quaranta, Arbitrary lagrangian eulerian formulation for two-dimensional flows using dynamic meshes with edge swapping, J. Comp. Phys, vol.230, pp.7706-7722, 2011.

H. Tang and T. Tang, Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, vol.41, issue.2, pp.487-515, 2003.
DOI : 10.1137/S003614290138437X

C. J. Budd, W. Huang, and R. D. Russell, Adaptivity with moving grids, Acta Numerica, vol.20, pp.1-131, 2009.
DOI : 10.1016/j.jcp.2007.01.019

J. F. Thompson and N. P. , Fundamental concepts and approaches, Hanbook of Grid Generation, p.10, 1999.

A. M. Winslow, Numerical solution of the quasilinear poisson equation in a nonuniform triangle mesh, Journal of Computational Physics, vol.1, issue.2, pp.149-172, 1967.
DOI : 10.1016/0021-9991(66)90001-5

H. D. Ceniceros and T. Y. Hou, An Efficient Dynamically Adaptive Mesh for Potentially Singular Solutions, Journal of Computational Physics, vol.172, issue.2, pp.609-639, 2008.
DOI : 10.1006/jcph.2001.6844

C. J. Budd, M. J. Cullen, and E. J. Walsh, Monge???Amp??re based moving mesh methods for numerical weather prediction, with applications to the Eady problem, Journal of Computational Physics, vol.236, 2012.
DOI : 10.1016/j.jcp.2012.11.014

W. Huang, Anisotropic mesh adaptation and movement. Workshop on Adaptive Method, Theory and Application, 2005.

J. U. Brackbill and J. S. Saltzman, Adaptive zoning for singular problems in two dimensions, Journal of Computational Physics, vol.46, issue.3, p.342, 1982.
DOI : 10.1016/0021-9991(82)90020-1

X. Xu, G. Ni, and S. Jiang, A High-Order Moving Mesh Kinetic Scheme Based on WENO Reconstruction for Compressible Flows on Unstructured Meshes, Journal of Scientific Computing, vol.178, issue.3, pp.278-299, 2013.
DOI : 10.1007/s10915-013-9705-0

Z. J. Wang and H. Yang, Unsteady flow simulation using a zonal multigrid approach with moving boundaries, pp.94-0057, 1994.

M. Lesoinne and C. Farhat, Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations, Computer Methods in Applied Mechanics and Engineering, vol.134, issue.1-2, pp.71-90, 1996.
DOI : 10.1016/0045-7825(96)01028-6

F. Zhou, G. Chen, Y. Huang, J. Z. Yang, and H. Feng, An adaptive moving finite volume scheme for modeling flood inundation over dry and complex topography, Water Resources Research, vol.130, issue.1, pp.1914-1928, 2013.
DOI : 10.1002/wrcr.20179

F. Zhou, G. Chen, S. Noelle, and H. C. Guo, A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes, International Journal for Numerical Methods in Fluids, vol.32, issue.6, pp.266-283, 2013.
DOI : 10.1002/fld.3800

J. Donea, Arbitrary lagrangian eulerian finite element methods. In Computational Methods for Transient Analysis, chapter 10, 1983.

I. K. Nikolos and A. I. Delis, An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.47-48, pp.3723-3750, 2009.
DOI : 10.1016/j.cma.2009.08.006

E. Audusse, F. Bouchut, M. Bristeau, R. Klein, and B. Perthame, 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

L. Arpaia, M. Ricchiuto, and R. Abgrall, An ALE Formulation for Explicit Runge???Kutta Residual Distribution, Journal of Scientific Computing, vol.215, issue.1, pp.1467-1482, 2014.
DOI : 10.1007/s10915-014-9910-5
URL : https://hal.archives-ouvertes.fr/hal-01087947

D. Isola, An Interpolation Free Two-Dimensional Conservative ALE scheme over Adaptive Unstructured Grids for Rotorcraf Aerodynamics

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

R. J. Leveque, High-resolution methods. In Finite Volume Methods for Hyperbolic problems, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01342271

P. Brufau, M. E. Vazquez-cendon, and P. Garcia-navarro, A numerical model for the flooding and drying of irregular domains, International Journal for Numerical Methods in Fluids, vol.38, issue.5, pp.247-275, 2002.
DOI : 10.1002/fld.285

P. Brufau, P. Garcia-navarro, and M. E. Vazquez-cendon, Zero mass error using unsteady wetting???drying conditions in shallow flows over dry irregular topography, International Journal for Numerical Methods in Fluids, vol.45, issue.10, pp.1047-1082, 2004.
DOI : 10.1002/fld.729

A. I. Delis, M. Kazolea, and N. A. Kampanis, A robust high-resolution finite volume scheme for the simulation of long waves over complex domains, International Journal for Numerical Methods in Fluids, vol.29, issue.4, pp.419-452, 2008.
DOI : 10.1002/fld.1537

M. Ricchiuto and R. Abgrall, Explicit Runge???Kutta residual distribution schemes for time dependent problems: Second order case, Journal of Computational Physics, vol.229, issue.16, pp.5653-5691, 2010.
DOI : 10.1016/j.jcp.2010.04.002
URL : https://hal.archives-ouvertes.fr/inria-00406958

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, 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

M. J. Baines and M. E. Hubbard, Multidimensional upwinding for grid adaptation. Numerical Methods for Wave Propagation, pp.33-54, 1998.

G. Chen, H. Tang, and P. Zhang, Second-Order Accurate Godunov Scheme for??Multicomponent Flows on Moving Triangular Meshes, Journal of Scientific Computing, vol.1, issue.1, pp.64-86, 2008.
DOI : 10.1007/s10915-007-9162-8

R. Li, T. Tang, and P. Zhang, A moving mesh finite element algorithm for signular problems in two and three space dimensions

J. A. Mackenzie and W. R. Mekwi, On the use of moving mesh methods to solve pdes, Adaptive Computations: Theory and Algorithms, pp.242-278, 2007.

M. Seaid, Non-oscillatory relaxation methods for the shallow-water equations in one and two space dimensions, International Journal for Numerical Methods in Fluids, vol.46, issue.5, pp.457-484, 2004.
DOI : 10.1002/fld.766

M. J. Briggs, C. E. Synolakis, G. S. Harkins, and D. R. Green, Laboratory experiments of tsunami runup on a circular island, Pure and Applied Geophysics PAGEOPH, vol.74, issue.33, pp.569-593, 1995.
DOI : 10.1007/BF00874384

P. L. Liu, H. Yeh, and C. Synolakis, Advanced Numerical Models for Simulating Tsunami Waves and Runup, of Advances in Coastal and Ocean Engineering. World Scientific, 2008.
DOI : 10.1142/6226

N. Center-for-tsunami and . Research, Tsunami runup onto a complex three-dimensional beach; monai valley

P. Lynett, D. Swigler, S. Sangyoung, D. Bryant, and S. Socolofsky, EXPERIMENTAL STUDY OF SOLITARY WAVE EVOLUTION OVER A 3D SHALLOW SHELF, Proc. 32th Conf. Coast. Engng, p.813, 2010.
DOI : 10.9753/icce.v32.currents.1

V. Roeber and K. F. Cheung, Boussinesq-type model for energetic breaking waves in fringing reef environments, Coastal Engineering, vol.70, pp.1-20, 2012.
DOI : 10.1016/j.coastaleng.2012.06.001

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

A. G. Filippini, M. Kazolea, and M. Ricchiuto, A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up, Journal of Computational Physics, vol.310, pp.381-417, 2016.
DOI : 10.1016/j.jcp.2016.01.027

K. Stein, T. E. Tezduyar, and R. Benney, Automatic mesh update with the solid-extension mesh moving technique, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.21-22
DOI : 10.1016/j.cma.2003.12.046