A. Arakawa and C. S. Konor, Vertical Coordinates, Monthly Weather Review, vol.124, issue.3, pp.511-528, 1996.
DOI : 10.1175/1520-0493(1996)124<0511:VDOTPE>2.0.CO;2

H. Berntsen, Z. Kowalik, S. Saelid, and K. Sørli, Efficient numerical simulation of ocean hydrodynamics by a splitting procedure. Modeling, Identification and Control, pp.181-199, 1981.

E. Blayo and L. Debreu, Revisiting open boundary conditions from the point of view of characteristic variables. Ocean Modelling, pp.231-252, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00134856

L. Debreu and P. Marchesiello, Pierrick Penven, and Gildas Cambon. Two-way nesting in split-explicit ocean models: Algorithms, implementation and validation. Ocean Modelling, pp.49-501, 2012.

K. John and . Dukowicz, Structure of the barotropic mode in layered ocean models. Ocean Modelling, pp.49-68, 2006.

K. John, R. D. Dukowicz, and . Smith, Implicit free-surface method for the bryan-coxsemtner ocean model, Journal of Geophysical Research: Oceans, vol.99, issue.C4, pp.7991-8014, 1994.

M. Stephen, R. C. Griffies, M. Pacanowski, V. Schmidt, and . Balaji, Tracer conservation with an explicit free surface method for z-coordinate ocean models, Monthly Weather Review, vol.12912, issue.508, pp.1081-1098, 2001.

R. Hallberg, Stable Split Time Stepping Schemes for Large-Scale Ocean Modeling, Journal of Computational Physics, vol.135, issue.1, pp.54-65, 1997.
DOI : 10.1006/jcph.1997.5734

L. Robert, R. A. Higdon, and . De-szoeke, Barotropic-baroclinic time splitting for ocean circulation modeling, Journal of Computational Physics, vol.135, issue.1, pp.30-53, 1997.

D. Holdaway, J. Thuburn, and N. Wood, Comparison of Lorenz and Charney-Phillips vertical discretisations for dynamics-boundary layer coupling. Part I: Steady states, Quarterly Journal of the Royal Meteorological Society, vol.129, issue.673, pp.1073-1086, 2013.
DOI : 10.1002/qj.2016

V. M. Kamenkovich and D. A. Nechaev, On the time-splitting scheme used in the Princeton Ocean Model, Journal of Computational Physics, vol.228, issue.8, pp.2874-2905, 2009.
DOI : 10.1016/j.jcp.2008.12.033

D. Peter, D. J. Killworth, D. Webb, S. M. Stainforth, and . Paterson, The development of a free-surface bryan?cox?semtner ocean model, Journal of Physical Oceanography, vol.2129, issue.907, pp.1333-1348, 1991.

P. K. Kundu and I. M. Cohen, Fluid Mechanics, Second Edition, 2002.

J. M. Molines, B. Barnier, T. Penduff, L. Brodeau, A. M. Treguier et al., Definition of the global 1/2 ? experiment with CORE forcing, ORCA05-G50, 2006.

Y. Morel, R. Baraille, and A. Pichon, Time splitting and linear stability of the slow part of the barotropic component. Ocean Modelling, pp.3-473, 2008.

B. T. Nadiga, M. W. Hecht, L. G. Margolin, and P. K. Smolarkiewicz, On Simulating Flows with Multiple Time Scales Using a Method of Averages, Theoretical and Computational Fluid Dynamics, vol.9, issue.3-4, pp.3-4281, 1997.
DOI : 10.1007/s001620050045

F. Alexander, J. C. Shchepetkin, and . Mcwilliams, The regional oceanic modeling system (roms): a split-explicit, free-surface, topography-following-coordinate oceanic model. Ocean Modelling, pp.347-404, 2005.

F. Alexander, J. C. Shchepetkin, and . Mcwilliams, Computational kernel algorithms for fine-scale, multiprocess, longtime oceanic simulations, Handbook of Numerical Analysis, pp.121-183, 2009.