D. Adalsteinsson and J. A. Sethian, The Fast Construction of Extension Velocities in Level Set Methods, Journal of Computational Physics, vol.148, issue.1, pp.2-22, 1999.
DOI : 10.1006/jcph.1998.6090

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

V. , L. Chenadec, and H. Pitsch, A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows, J. Comput. Phys, vol.249, pp.185-203, 2013.

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

M. Cisternino and L. Weynans, Abstract, Communications in Computational Physics, vol.39, issue.05, pp.1562-1587, 2012.
DOI : 10.1016/j.jcp.2006.02.014

F. Couderc, Développement d'un code de calcul pour la simulation d'écoulements de fluides non miscibles: application à la désintégration assistée d'un jet liquide par un courant gazeux, ENSAE, 2007.

O. Desjardins and H. Pitsch, A spectrally refined interface approach for simulating multiphase flows, Journal of Computational Physics, vol.228, issue.5, pp.1658-1677, 2009.
DOI : 10.1016/j.jcp.2008.11.005

A. Duchene, C. Min, and F. Gibou, Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes, Journal of Scientific Computing, vol.114, issue.2-3, pp.114-131, 2008.
DOI : 10.1007/s10915-007-9177-1

C. Galusinski and P. Vigneaux, On stability condition for bifluid flows with surface tension: Application to microfluidics, Journal of Computational Physics, vol.227, issue.12, pp.6140-61648380, 2008.
DOI : 10.1016/j.jcp.2008.02.023
URL : https://hal.archives-ouvertes.fr/hal-00274569

M. Herrmann, The influence of density ratio on the primary atomization of a turbulent liquid jet in crossflow, Proceedings of the Combustion Institute, vol.33, issue.2, pp.2079-2088, 2011.
DOI : 10.1016/j.proci.2010.07.002

X. Y. Hu, B. C. Khoo, N. A. Adams, and F. L. Huang, A conservative interface method for compressible flows, Journal of Computational Physics, vol.219, issue.2, pp.553-578, 2006.
DOI : 10.1016/j.jcp.2006.04.001
URL : http://mediatum.ub.tum.de/doc/1343198/document.pdf

M. Kang, R. P. Fedkiw, and X. Liu, A boundary condition capturing method for multiphase incompressible flow, Journal of Scientific Computing, vol.15, issue.3, pp.323-360, 2000.
DOI : 10.1023/A:1011178417620

X. Liu, R. P. Fedkiw, and M. Kang, A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains, Journal of Computational Physics, vol.160, issue.1, pp.151-178, 2000.
DOI : 10.1006/jcph.2000.6444
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.5776

F. Luddens, M. Bergmann, and L. Weynans, Enablers for high-order level set methods in fluid mechanics, International Journal for Numerical Methods in Fluids, vol.155, issue.2, pp.654-675, 2015.
DOI : 10.1002/fld.4070
URL : https://hal.archives-ouvertes.fr/hal-01250641

M. Bergmann, J. Hovnanian, and A. Iollo, Abstract, Communications in Computational Physics, vol.230, issue.05, pp.1266-1290, 2014.
DOI : 10.1002/fld.1281

M. Smereka, M. Sussman, and S. Osher, A level-set approach for computing solutions to incompressible two-phase flows, J. Comput. Phys, vol.114, pp.146-159, 1994.

J. C. Martin and W. J. Moyce, Part IV. An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.244, issue.882, pp.312-324, 1952.
DOI : 10.1098/rsta.1952.0006
URL : https://hal.archives-ouvertes.fr/hal-00518739

R. Mittal, H. Dong, M. Bozkurttas, F. M. Najjar, A. Vargas et al., A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries, Journal of Computational Physics, vol.227, issue.10, pp.4825-4852, 2008.
DOI : 10.1016/j.jcp.2008.01.028
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2834215

S. Osher and R. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces, 2003.
DOI : 10.1115/1.1760520
URL : http://dx.doi.org/10.1016/s0898-1221(03)90179-9

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, p.79, 1988.
DOI : 10.1016/0021-9991(88)90002-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.5254

M. Raessi and H. Pitsch, Consistent mass and momentum transport for simulating incompressible interfacial flows with large density ratios using the level set method, Computers & Fluids, vol.63, pp.70-81, 2012.
DOI : 10.1016/j.compfluid.2012.04.002

C. M. Rhie and W. L. Chow, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA Journal, vol.21, issue.11, pp.1525-1532, 1983.
DOI : 10.2514/3.8284

E. Rouy and A. Tourin, A Viscosity Solutions Approach to Shape-From-Shading, SIAM Journal on Numerical Analysis, vol.29, issue.3, pp.867-884, 1992.
DOI : 10.1137/0729053

M. Rudman, A volume-tracking method for incompressible multifluid flows with large density variations, International Journal for Numerical Methods in Fluids, vol.229, issue.2, pp.357-378, 1998.
DOI : 10.1002/(SICI)1097-0363(19980815)28:2<357::AID-FLD750>3.0.CO;2-D

G. Russo and P. Smereka, A Remark on Computing Distance Functions, Journal of Computational Physics, vol.163, issue.1, pp.51-67, 2000.
DOI : 10.1006/jcph.2000.6553
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.6810

J. A. Sethian, Level Set Methods and Fast Marching Methods, 1999.

J. A. Sethian, Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts, Journal of Computational Physics, vol.169, issue.2, pp.503-555, 2001.
DOI : 10.1006/jcph.2000.6657

J. A. Sethian, A fast marching level set method for monotonically advancing fronts., Proceedings of the National Academy of Sciences, vol.93, issue.4, pp.1591-1595, 1996.
DOI : 10.1073/pnas.93.4.1591
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC39986

C. Guang-shan-jiang and I. L. Shu, Efficient Implementation of Weighted ENO Schemes, Journal of Computational Physics, vol.126, issue.1, pp.202-228, 1995.
DOI : 10.1006/jcph.1996.0130

M. Sussman and E. G. Puckett, A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows, Journal of Computational Physics, vol.162, issue.2, pp.301-337, 2000.
DOI : 10.1006/jcph.2000.6537

M. Sussman, K. M. Smith, M. Y. Hussaini, M. Ohta, and R. Zhi-wei, A sharp interface method for incompressible two-phase flows, Journal of Computational Physics, vol.221, issue.2, pp.469-505, 2007.
DOI : 10.1016/j.jcp.2006.06.020
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.7193

S. Tanguy, T. Menard, and A. Berlemont, A Level Set Method for vaporizing two-phase flows, Journal of Computational Physics, vol.221, issue.2, pp.837-853, 2007.
DOI : 10.1016/j.jcp.2006.07.003
URL : https://hal.archives-ouvertes.fr/hal-00649783

R. Temam, Sur l'approximation de la solution des equations de navier-stokes par la méthode des pas fractionnaires ii, Archiv. Rat. Mech. Anal, vol.32, pp.377-385, 1969.

Y. , L. Cheng, S. Osher, and H. Zhao, Fast sweeping algorithms for a class of hamiltonjacobi equations, SIAM J. Numer. Anal, vol.41, pp.673-694, 2003.