B. Barnier, P. Marchesiello, A. P. De-miranda, J. M. Molines, and M. Coulibaly, A sigma-coordinate primitive equation model for studying the circulation in the South Atlantic. Part I: Model configuration with error estimates, Deep Sea Research Part I: Oceanographic Research Papers, vol.45, issue.4-5, pp.543-572, 1998.
DOI : 10.1016/S0967-0637(97)00086-1

A. F. Bennett and B. S. Chua, Open Boundary Conditions for Lagrangian Geophysical Fluid Dynamics, Journal of Computational Physics, vol.153, issue.2, pp.418-436, 1999.
DOI : 10.1006/jcph.1999.6284

J. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, Journal of Computational Physics, vol.114, issue.2, pp.185-200, 1994.
DOI : 10.1006/jcph.1994.1159

G. L. Browning and H. O. Kreiss, Initialization of the shallow water equations with open boundaries by the bounded derivative method, Tellus, vol.34, pp.334-351, 1982.

C. Bruneau, Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.34, issue.2, pp.303-314, 2000.
DOI : 10.1051/m2an:2000142

C. Bruneau and P. Fabrie, Effective downstream boundary conditions for incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids, vol.59, issue.8, pp.693-705, 1994.
DOI : 10.1002/fld.1650190805

C. Bruneau and P. Fabrie, New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result, ESAIM: Mathematical Modelling and Numerical Analysis, vol.30, issue.7, pp.815-840, 1996.
DOI : 10.1051/m2an/1996300708151

C. H. Bruneau and E. Creusé, Towards a transparent boundary condition for compressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids, vol.285, issue.7, pp.807-840, 2001.
DOI : 10.1002/fld.158
URL : https://hal.archives-ouvertes.fr/hal-00768720

A. L. Camerlengo and J. J. O-'brien, Open boundary conditions in rotating fluids, Journal of Computational Physics, vol.35, issue.1, pp.12-35, 1980.
DOI : 10.1016/0021-9991(80)90031-5

K. M. Carpenter, Note on the paper ???Radiation conditions for the lateral boundaries of limited-area numerical models???, Quarterly Journal of the Royal Meteorological Society, vol.107, issue.457, pp.717-719, 1982.
DOI : 10.1002/qj.49710845714

D. C. Chapman, Numerical Treatment of Cross-Shelf Open Boundaries in a Barotropic Coastal Ocean Model, Journal of Physical Oceanography, vol.15, issue.8, pp.1060-1075, 1985.
DOI : 10.1175/1520-0485(1985)015<1060:NTOCSO>2.0.CO;2

G. Darblade, R. Baraille, A. Roux, X. Carton, and D. Pinchon, Conditions limites non r??fl??chissantes pour un mod??le de Saint-Venant bidimensionnel barotrope lin??aris??, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.324, issue.4, pp.485-490, 1997.
DOI : 10.1016/S0764-4442(97)80091-2

H. C. Davies, 1976: A lateral boundary formulation for multi-level prediction models, Quart. J. R. Meteorol. Soc, vol.102, pp.405-418

D. Durran, Open Boundary Conditions: Fact and Fiction, IUTAM Symposium on Advances in mathematical modeling of Atmosphere and Ocean dynamics, 2001.
DOI : 10.1007/978-94-010-0792-4_1

B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Mathematics of Computation, vol.31, issue.139, pp.629-651, 1977.
DOI : 10.1090/S0025-5718-1977-0436612-4

B. Engquist and L. Halpern, Far field boundary conditions for computation over long time, Applied Numerical Mathematics, vol.4, issue.1, pp.21-45, 1988.
DOI : 10.1016/S0168-9274(88)80004-7

R. A. Flather, A tidal model of the north-west European continental shelf, Mem. Soc. R. Sci.Lì ege, vol.6, issue.10, pp.141-164, 1976.

D. Givoli, Non-reflecting boundary conditions, Journal of Computational Physics, vol.94, issue.1, pp.1-29
DOI : 10.1016/0021-9991(91)90135-8

D. J. Guo and Q. C. Zeng, Open Boundary Conditions for a Numerical Shelf Sea Model, Journal of Computational Physics, vol.116, issue.1, pp.97-102, 1995.
DOI : 10.1006/jcph.1995.1008

L. Halpern, Artificial boundary conditions for the linear advection diffusion equation, Mathematics of Computation, vol.46, issue.174, pp.425-439, 1986.
DOI : 10.1090/S0025-5718-1986-0829617-8

L. Halpern, Artificial Boundary Conditions for Incompletely Parabolic Perturbations of Hyperbolic Systems, SIAM Journal on Mathematical Analysis, vol.22, issue.5, pp.1256-1283, 1991.
DOI : 10.1137/0522081

G. W. Hedström, Nonreflecting boundary conditions for nonlinear hyperbolic systems, Journal of Computational Physics, vol.30, issue.2, pp.222-237, 1979.
DOI : 10.1016/0021-9991(79)90100-1

A. Holstad and I. Lie, On transparent boundary conditions and nesting for ocean models, 1999.

F. Q. Hu, On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer, Journal of Computational Physics, vol.129, issue.1, pp.201-219, 1996.
DOI : 10.1006/jcph.1996.0244

F. Q. Hu, A Stable, Perfectly Matched Layer for Linearized Euler Equations in Unsplit Physical Variables, Journal of Computational Physics, vol.173, issue.2, pp.455-480, 2001.
DOI : 10.1006/jcph.2001.6887

T. Jensen, Open boundary conditions in stratified ocean models, Journal of Marine Systems, vol.16, issue.3-4, pp.297-322, 1998.
DOI : 10.1016/S0924-7963(97)00023-7

I. Lie, Well-posed transparent boundary conditions for the shallow water equations, Applied Numerical Mathematics, vol.38, issue.4, pp.445-474, 2001.
DOI : 10.1016/S0168-9274(01)00045-9

P. Marchesiello, J. Mcwilliams, and A. Shchepetkin, Open boundary conditions for long-term integration of regional oceanic models. Ocean Modelling, pp.1-20, 2001.

E. A. Martinsen and H. E. , Implementation and testing of a lateral boundary scheme as an open boundary condition in a barotropic ocean model, Coastal Engineering, vol.11, issue.5-6, pp.603-627, 1987.
DOI : 10.1016/0378-3839(87)90028-7

A. Mcdonald, A Step toward Transparent Boundary Conditions for Meteorological Models, Monthly Weather Review, vol.130, issue.1, pp.140-151
DOI : 10.1175/1520-0493(2002)130<0140:ASTTBC>2.0.CO;2

A. Mcdonald, Transparent Boundary Conditions for the Shallow-Water Equations: Testing in a Nested Environment, Monthly Weather Review, vol.131, issue.4, pp.698-705, 2003.
DOI : 10.1175/1520-0493(2003)131<0698:TBCFTS>2.0.CO;2

M. J. Miller and A. J. Thorpe, Radiation conditions for the lateral boundaries of limited-area numerical models, Quarterly Journal of the Royal Meteorological Society, vol.14, issue.453, pp.615-628, 1981.
DOI : 10.1002/qj.49710745310

I. M. Navon, M. Y. Neta, and . Hussaini, A Perfectly Matched Layer Approach to the Linearized Shallow Water Equations Models, Monthly Weather Review, vol.132, issue.6, pp.1369-1378, 2004.
DOI : 10.1175/1520-0493(2004)132<1369:APMLAT>2.0.CO;2

J. Nycander and K. Döös, Open boundary conditions for barotropic waves, Journal of Geophysical Research, vol.106, issue.C10, pp.3168-3187, 2003.
DOI : 10.1029/2002JC001529

J. Oliger and A. Sundström, Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics, SIAM Journal on Applied Mathematics, vol.35, issue.3, pp.419-446, 1978.
DOI : 10.1137/0135035

I. Orlanski, A simple boundary condition for unbounded hyperbolic flows, Journal of Computational Physics, vol.21, issue.3, pp.251-269
DOI : 10.1016/0021-9991(76)90023-1

E. D. Palma and R. P. Matano, On the implementation of passive open boundary conditions for a general circulation model: The barotropic mode, Journal of Geophysical Research: Oceans, vol.23, issue.6, pp.1319-1341, 1998.
DOI : 10.1029/97JC02721

A. L. Perkins, L. F. Smedstad, D. W. Blake, G. W. Heburn, and A. J. Wallcraft, A new nested boundary condition for a primitive equation ocean model, Journal of Geophysical Research: Oceans, vol.114, issue.2, pp.3483-3500, 1997.
DOI : 10.1029/96JC03246

T. Poinsot and S. K. Lele, Boundary conditions for direct simulations of compressible viscous flows, Journal of Computational Physics, vol.101, issue.1, pp.104-129, 1992.
DOI : 10.1016/0021-9991(92)90046-2

W. H. Raymond and H. L. Kuo, A radiation boundary condition for multi-dimensional flows, Quarterly Journal of the Royal Meteorological Society, vol.39, issue.464, pp.535-551, 1984.
DOI : 10.1002/qj.49711046414

L. P. Röed and C. Cooper, A study of various open boundary conditions for wind-forced barotropic numerical ocean models, in Three-dimensional models of marine and estuarine dynamics, pp.305-335, 1987.

R. Temam and J. Tribbia, Open Boundary Conditions for the Primitive and Boussinesq Equations, Journal of the Atmospheric Sciences, vol.60, issue.21, pp.2647-2660, 2003.
DOI : 10.1175/1520-0469(2003)060<2647:OBCFTP>2.0.CO;2

A. Tréguier, B. Barnier, A. P. De-miranda, J. Molines, N. Grima et al., An eddy-permitting model of the Atlantic circulation: Evaluating open boundary conditions, Journal of Geophysical Research: Oceans, vol.48, issue.no. 32, pp.106-22115, 2001.
DOI : 10.1029/2000JC000376

S. V. Tsynkhov, Numerical solution of problems on unbounded domains. A review, Applied Numerical Mathematics, vol.27, issue.4, pp.456-532, 1998.
DOI : 10.1016/S0168-9274(98)00025-7