S. Vincent, J. Caltagirone, and D. Jamet, Test case n ? 15: phase inversion in a closed box (pn, pe), Multiphase Sci. Technol, vol.6, pp.101-104, 2004.
DOI : 10.1615/multscientechn.v16.i1-3.160

J. Larocque, S. Vincent, P. Lubin, D. Lacanette, and J. Caltagirone, Parametric study of LES subgrid terms in turbulent phase separation flows, Int. J. Heat Fluid Flow, vol.31, pp.536-544, 2010.
DOI : 10.1007/978-3-540-72604-3_250

S. Vincent, D. Lacanette, J. Larocque, A. Toutant, P. Lubin et al., Numerical simulation of phase separation and a priori two-phase LES filtering, Computers & Fluids, vol.37, issue.7, pp.898-906, 2008.
DOI : 10.1016/j.compfluid.2007.02.017

P. Caltagirone and A. Berlemont, A phase inversion benchmark for multiscale multiphase flows. submitted to, J. Comput. Phys, 2016.

J. Smagorinsky, GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS, Monthly Weather Review, vol.91, issue.3, pp.99-165, 1963.
DOI : 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2

F. Nicoud and F. Ducros, Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turb, Comb, vol.62, pp.183-200, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00910373

J. Bardina, J. H. Ferziger, and W. C. Reynolds, Improved subgrid-scale models for large-eddy simulation, 13th Fluid and PlasmaDynamics Conference, p.1357, 1980.
DOI : 10.2514/6.1980-1357

J. Bardina, J. H. Ferziger, and W. C. Reynolds, Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows, 1983.

N. A. Adams and S. Stolz, A Subgrid-Scale Deconvolution Approach for Shock Capturing, Journal of Computational Physics, vol.178, issue.2, pp.391-426, 2002.
DOI : 10.1006/jcph.2002.7034

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.5014

E. Labourasse, D. Lacanette, A. Toutant, P. Lubin, S. Vincent et al., Towards large eddy simulation of isothermal two-phase flows: Governing equations and a priori tests, International Journal of Multiphase Flow, vol.33, issue.1, pp.1-39, 2007.
DOI : 10.1016/j.ijmultiphaseflow.2006.05.010

A. Toutant, E. Labourasse, O. Lebaigue, and O. Simonin, DNS of the interaction between a deformable buoyant bubble and a spatially decaying turbulence: A priori tests for LES two-phase flow modelling, Computers & Fluids, vol.37, issue.7, pp.877-886, 2008.
DOI : 10.1016/j.compfluid.2007.03.019

J. Chesnel, J. Reveillon, F. X. Demoulin, and T. Menard, Subgrid modeling of liquid atomization, 6th International Conference on Multiphase Flow, 2007.
DOI : 10.1615/atomizspr.v21.i1.40

URL : https://hal.archives-ouvertes.fr/hal-00573786/file/Draft_Chesnel_et_al.pdf

P. Liovic and D. Lakehal, Interface???turbulence interactions in large-scale bubbling processes, International Journal of Heat and Fluid Flow, vol.28, issue.1, pp.127-144, 2006.
DOI : 10.1016/j.ijheatfluidflow.2006.03.003

C. T. Crowe, Multiphase flow handbook, 2005.
DOI : 10.1201/9781420040470

S. Vincent, J. Caltagirone, and D. Jamet, TEST-CASE NO 15: PHASE INVERSION IN A CLOSED BOX (PC), Multiphase Science and Technology, vol.16, issue.1-3, pp.101-104, 2004.
DOI : 10.1615/MultScienTechn.v16.i1-3.160

C. Kleinstreuer, Two-phase flow: theory and applications. Taylor and Francis, 2003.

R. Lebas, T. Ménard, P. A. Beau, A. Berlemont, and F. X. Demoulin, Numerical simulation of primary break-up and atomization: DNS and modelling study, International Journal of Multiphase Flow, vol.35, issue.3, pp.247-260, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2008.11.005

URL : https://hal.archives-ouvertes.fr/hal-00649748

D. Zuzio, J. Estivalezes, P. Villedieu, and G. Blanchard, Numerical simulation of primary and secondary atomization, Comptes Rendus M??canique, vol.341, issue.1-2, pp.15-25, 2013.
DOI : 10.1016/j.crme.2012.10.003

P. Trontin, S. Vincent, J. Estivalezes, and J. Caltagirone, Direct numerical simulation of a freely decaying turbulent interfacial flow, International Journal of Multiphase Flow, vol.36, issue.11-12
DOI : 10.1016/j.ijmultiphaseflow.2010.08.003

P. Sagaut, Large Eddy Simulation for Incompressible Flows. An Introduction, Measurement Science and Technology, vol.12, issue.10, 1998.
DOI : 10.1088/0957-0233/12/10/707

I. Kataoka, Local instant formulation of two-phase flow, International Journal of Multiphase Flow, vol.12, issue.5, pp.745-758, 1986.
DOI : 10.1016/0301-9322(86)90049-2

R. Scardovelli and S. Zaleski, DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW, Annual Review of Fluid Mechanics, vol.31, issue.1, pp.567-603, 1999.
DOI : 10.1146/annurev.fluid.31.1.567

A. Prosperetti and G. Tryggvason, Computational methods for multiphase flows, 2007.
DOI : 10.1017/CBO9780511607486

C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, vol.39, issue.1, pp.201-225, 1981.
DOI : 10.1016/0021-9991(81)90145-5

S. Osher and R. Fedkiw, Level Set Methods: An Overview and Some Recent Results, Journal of Computational Physics, vol.169, issue.2, pp.463-502, 2001.
DOI : 10.1006/jcph.2000.6636

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.552

G. Tryggvason, R. Scardovelli, and S. Zaleski, Direct numerical simulations of gas-liquid multiphase flows, 2011.

R. Denèfle, S. Mimouni, J. Caltagirone, and S. Vincent, Multifield hybrid approach for two-phase flow modeling ??? Part 1: Adiabatic flows, Computers & Fluids, vol.113
DOI : 10.1016/j.compfluid.2014.07.018

S. Fleau, S. Mimouni, N. Mérigoux, and S. Vincent, Simulations of twophase flows with a multifield approach, Proceedings of Computational Heat Transfer conference CHT-15, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01172289

S. Fleau, S. Mimouni, N. Mérigoux, and S. Vincent, VALIDATION OF A MULTIFIELD APPROACH FOR THE SIMULATIONS OF TWO-PHASE FLOWS, Computational Thermal Sciences: An International Journal, vol.7, issue.5-6, pp.1-17, 2016.
DOI : 10.1615/ComputThermalScien.2016015855

URL : https://hal.archives-ouvertes.fr/hal-01342563

D. Jacqmin, Calculation of Two-Phase Navier???Stokes Flows Using Phase-Field Modeling, Journal of Computational Physics, vol.155, issue.1, pp.96-127, 1999.
DOI : 10.1006/jcph.1999.6332

P. Sagaut and C. Cambon, Homogeneous turbulence dynamics, 2008.
DOI : 10.1017/CBO9780511546099

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.461.3658

P. Liovic and D. Lakehal, Multi-physics treatment in the vicinity of arbitrarily deformable gas???liquid interfaces, Journal of Computational Physics, vol.222, issue.2, pp.504-535, 2007.
DOI : 10.1016/j.jcp.2006.07.030

W. Aniszewski, A. Boguslawski, M. Marek, and A. Tyliszczak, A new approach to sub-grid surface tension for LES of two-phase flows, Journal of Computational Physics, vol.231, issue.21, pp.7368-7379, 2012.
DOI : 10.1016/j.jcp.2012.07.016

W. Aniszewski, T. Ménard, and M. Marek, Volume of Fluid (VOF) type advection methods in two-phase flow: A comparative study, Computers & Fluids, vol.97, pp.52-73, 2014.
DOI : 10.1016/j.compfluid.2014.03.027

G. Tomar, D. Fuster, S. Zaleski, and S. Popinet, Multiscale simulations of primary atomization, Computers & Fluids, vol.39, issue.10, pp.1864-1874, 2010.
DOI : 10.1016/j.compfluid.2010.06.018

URL : https://hal.archives-ouvertes.fr/hal-01445424

J. M. Delhaye, Jump conditions and entropy sources in two-phase systems. Local instant formulation, International Journal of Multiphase Flow, vol.1, issue.3, pp.395-409, 1974.
DOI : 10.1016/0301-9322(74)90012-3

J. U. Brackbill, D. B. Kothe, and C. Zemach, A continuum method for modeling surface tension, Journal of Computational Physics, vol.100, issue.2, pp.335-354, 1992.
DOI : 10.1016/0021-9991(92)90240-Y

A. J. Chorin, Numerical solution of the Navier-Stokes equations, Mathematics of Computation, vol.22, issue.104, pp.745-762, 1968.
DOI : 10.1090/S0025-5718-1968-0242392-2

R. Temam, Sur l'approximation de la solution deséquationsdeséquations de Navier- Stokes par la méthode des pas fractionnaires, Arch. Ration. Mech. Anal, vol.33, pp.377-385, 1969.

R. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method), Journal of Computational Physics, vol.152, issue.2, pp.457-492, 1999.
DOI : 10.1006/jcph.1999.6236

C. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, 1997.
DOI : 10.1016/0021-9991(90)90120-P

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.895

C. W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics, vol.77, issue.2, pp.439-471, 1988.
DOI : 10.1016/0021-9991(88)90177-5

URL : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA189392

M. Sussman, E. Fatemi, P. Smereka, and S. Osher, An improved level set method for incompressible two-phase flows, Computers & Fluids, vol.27, issue.5-6, pp.663-680, 1998.
DOI : 10.1016/S0045-7930(97)00053-4

URL : http://ccvweb.csres.utexas.edu/collections/papers/bubbles/references/improved.level.set.sussman.pdf

P. Trontin, S. Vincent, J. Estivalezes, and J. Caltagirone, Detailed comparisons of front-capturing methods for turbulent two-phase flow simulations, International Journal for Numerical Methods in Fluids, vol.33, issue.8, pp.1543-1549, 2008.
DOI : 10.1002/fld.1733

D. Zuzio and J. Estivalezes, An efficient block parallel AMR method for two phase interfacial flow simulations, Computers & Fluids, vol.44, issue.1, pp.339-357, 2011.
DOI : 10.1016/j.compfluid.2011.01.035

M. Ishii, Thermo-fluid dynamics, theory of two-phase flow, Eyrolles, 1975.

S. Mimouni, R. Denèfle, S. Fleau, and S. Vincent, Multifield Approach and Interface Locating Method for Two-Phase Flows in Nuclear Power Plant
DOI : 10.1007/978-981-287-615-7_33

Y. Bartosiewicz, A first assessment of the NEPTUNE_CFD code: Instabilities in a stratified flow comparison between the VOF method and a two-field approach, International Journal of Heat and Fluid Flow, vol.29, issue.2, pp.460-478, 2008.
DOI : 10.1016/j.ijheatfluidflow.2007.09.005

S. Patankar and D. Spalding, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, International Journal of Heat and Mass Transfer, vol.15, issue.10, pp.1787-1806, 1975.
DOI : 10.1016/0017-9310(72)90054-3

S. Fleau, S. Mimouni, and S. Vincent, Conservative implementation of the interface sharpening equation within a multifield approach. under correction in Comput, p.2015

E. Olsson and G. Kreiss, A conservative level set method for two phase flow, Journal of Computational Physics, vol.210, issue.1, pp.225-246, 2005.
DOI : 10.1016/j.jcp.2005.04.007

L. Strubelj, Numerical simulations of stratified two-phase flows with twofluid model and interface sharpening, 2009.

O. Vasilyev, T. S. Lund, P. Moin, and K. Aksellvoll, A General Class of Commutative Filters for LES in Complex Geometries, Journal of Computational Physics, vol.146, issue.1, pp.82-104, 1998.
DOI : 10.1006/jcph.1998.6060

Y. M. Dakhoul and K. W. Bedford, Improved averaging method for turbulent flow simulation. Part I: Theoretical development and application to Burgers' transport equation, International Journal for Numerical Methods in Fluids, vol.100, issue.2, pp.49-64, 1986.
DOI : 10.1002/fld.1650060202

Y. M. Dakhoul and K. W. Bedford, Improved averaging method for turbulent flow simulation. Part II: Calculations and verification, International Journal for Numerical Methods in Fluids, vol.103, issue.2, pp.65-82, 1986.
DOI : 10.1002/fld.1650060203

M. Tavares, S. Vincent, M. Ould-rouiss, and J. Estivalezes, A priori study for the modeling of LES subgrid scale terms, Proceedings of the 4 th Turbulence and Interactions conference TI2015, 2015.

S. Fleau, S. Vincent, and S. Mimouni, LES modeling with a multifield approach, Proceedings of the 4 th Turbulence and Interactions conference TI2015, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01172349

P. Sagaut and M. Germano, On the filtering paradigm for LES of flows with discontinuities, Journal of Turbulence, vol.17, pp.1-9, 2005.
DOI : 10.1080/14685240500149799

D. Lacanette, A. Gosset, S. Vincent, J. Buchlin, and E. Arquis, Macroscopic analysis of gas-jet wiping: Numerical simulation and experimental approach, Physics of Fluids, vol.18, issue.4, pp.421031-421046, 2006.
DOI : 10.1063/1.2186589

J. Héliot, M. Caltagirone, and . Moreau, Macroscopic analysis of a turbulent round liquid jet impinging on an air/water interface in a confined medium, Phys. Fluid, vol.21, pp.651101-651122, 2009.

I. Calmet and J. Magnaudet, High-Schmidt number mass transfer through turbulent gas???liquid interfaces, International Journal of Heat and Fluid Flow, vol.19, issue.5, pp.522-532, 1998.
DOI : 10.1016/S0142-727X(98)10017-6

I. Calmet and J. Magnaudet, Statistical structure of high-reynoldsnumber turbulence close to the free surface of an open-channel flow, J

I. Calmet and J. Magnaudet, Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow, Physics of Fluids, vol.9, issue.2, pp.438-455, 1997.
DOI : 10.1063/1.869138

D. , L. E. Ofm, and . Smagorinsky, Mixed model [8] and ADM [9]. The bottom line is a zoom on the middle plot. The results are plotted in a vertical line centered on, Figure 6: Comparison of equivalent turbulent viscosities obtained with

D. , L. E. Mfa, and . Smagorinsky, Mixed model [8] and ADM [9]. The bottom line is a zoom on the middle plot. The results are plotted in a vertical line centered on, Figure 7: Comparison of equivalent turbulent viscosities obtained with