C. Huh and L. E. Scriven, Hydrodynamic model of steady movement of a solid/liquid/fluid contact line, Journal of Colloid and Interface Science, vol.35, issue.1, 1971.
DOI : 10.1016/0021-9797(71)90188-3

E. B. Dussan, V. , and S. H. Davis, On the motion of a fluid-fluid interface along a solid surface, Journal of Fluid Mechanics, vol.14, issue.01, pp.71-95, 1974.
DOI : 10.1016/0021-9797(71)90280-3

P. G. De-gennes, Wetting: statics and dynamics, Reviews of Modern Physics, vol.57, issue.3, pp.827-863, 1985.
DOI : 10.1103/RevModPhys.57.827

D. Jacqmin, Contact-line dynamics of a diffuse fluid interface, Journal of Fluid Mechanics, vol.402, pp.57-88, 2000.
DOI : 10.1017/S0022112099006874

H. Ding, P. D. Spelt, and C. Shu, Diffuse interface model for incompressible two-phase flows with large density ratios, Journal of Computational Physics, vol.226, issue.2, pp.2078-2095, 2007.
DOI : 10.1016/j.jcp.2007.06.028

E. B. Dussan and V. , On the Spreading of Liquids on Solid Surfaces: Static and Dynamic Contact Lines, Annual Review of Fluid Mechanics, vol.11, issue.1, pp.371-400, 1979.
DOI : 10.1146/annurev.fl.11.010179.002103

E. Ruckenstein and C. S. Dunn, Slip velocity during wetting of solids, Journal of Colloid and Interface Science, vol.59, issue.1, p.135138, 1977.
DOI : 10.1016/0021-9797(77)90347-2

D. N. Sibley, N. Savva, and S. Kalliadasis, Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system, Physics of Fluids, vol.24, issue.8, p.82105, 2012.
DOI : 10.1063/1.4742895

R. G. Cox, The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow, Journal of Fluid Mechanics, vol.81, issue.-1, pp.169-194, 1986.
DOI : 10.1021/ie50320a024

R. G. Cox, Inertial and viscous effects on dynamic contact angles, Journal of Fluid Mechanics, vol.357, pp.249-278, 1998.
DOI : 10.1017/S0022112097008112

L. M. Hocking and A. D. Rivers, The spreading of a drop by capillary action, Journal of Fluid Mechanics, vol.34, issue.-1, pp.425-442, 1982.
DOI : 10.1017/S0022112077000123

O. V. Voinov, Hydrodynamics of wetting, Fluid Dynamics, vol.11, issue.5, p.714721, 1976.
DOI : 10.1007/BF01012963

C. G. Ngan, E. B. Dussan, and V. , On the dynamics of liquid spreading on solid surfaces, Journal of Fluid Mechanics, vol.38, issue.-1, 1989.
DOI : 10.1063/1.866563

R. L. Hoffman, A study of the advancing interface. I. Interface shape in liquid???gas systems, Journal of Colloid and Interface Science, vol.50, issue.2, p.228235, 1975.
DOI : 10.1016/0021-9797(75)90225-8

M. Fermigier and P. Jenffer, An experimental investigation of the dynamic contact angle in liquid-liquid systems, Journal of Colloid and Interface Science, vol.146, issue.1, pp.226-241, 1991.
DOI : 10.1016/0021-9797(91)90020-9

J. Eggers and H. A. Stone, Characteristic lengths at moving contact lines for a perfectly wetting fluid: the influence of speed on the dynamic contact angle, Journal of Fluid Mechanics, vol.505, pp.309-321, 2004.
DOI : 10.1017/S0022112004008663

M. Renardy, Y. Renardy, and J. Li, Numerical Simulation of Moving Contact Line Problems Using a Volume-of-Fluid Method, Journal of Computational Physics, vol.171, issue.1, pp.171-243, 2001.
DOI : 10.1006/jcph.2001.6785

P. D. Spelt, A level-set approach for simulations of flows with multiple moving contact lines with hysteresis, Journal of Computational Physics, vol.207, issue.2, pp.389-404, 2005.
DOI : 10.1016/j.jcp.2005.01.016

H. Ding and P. D. Spelt, Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations, Journal of Fluid Mechanics, vol.576, pp.287-296, 2007.
DOI : 10.1017/S0022112007004910

S. Afkhami, S. Zaleski, and M. Bussmann, A mesh-dependent model for applying dynamic contact angles to VOF simulations, Journal of Computational Physics, vol.228, issue.15, pp.5370-5389, 2009.
DOI : 10.1016/j.jcp.2009.04.027

Y. Sui and P. D. Spelt, Validation and modification of asymptotic analysis of slow and rapid droplet spreading by numerical simulation, Journal of Fluid Mechanics, vol.146
DOI : 10.1017/S0022112086000332

M. Sussman, A. S. Almgren, J. B. Bell, P. Colella, L. H. Howell et al., An adaptive level set approach for incompressible two-phase flows, J. Comput. Phys, pp.148-81, 1999.

S. Popinet and S. Zaleski, A front-tracking algorithm for accurate representation of surface tension, Int. J. Numer. Meth. Fluids, vol.30, issue.775793, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01445441

J. Dupont and D. Legendre, Numerical simulation of static and sliding drop with contact angle hysteresis, Journal of Computational Physics, vol.229, issue.7, pp.2453-2478, 2010.
DOI : 10.1016/j.jcp.2009.07.034

F. Y. Kafka, E. B. Dussan, and V. , On the interpretation of dynamic contact angles in capillaries, Journal of Fluid Mechanics, vol.86, issue.03, pp.539-565, 1979.
DOI : 10.1103/PhysRev.17.273

T. D. Blake, M. Bracke, and Y. D. Shikhmurzaev, Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle, Physics of Fluids, vol.11, issue.8, 1995.
DOI : 10.1063/1.870063

T. D. Blake and J. M. Haynes, Kinetics of displacement, Journal of Colloid and Interface Science, vol.30, issue.3, pp.421-423, 1969.
DOI : 10.1016/0021-9797(69)90411-1

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

X. D. Liu, S. Osher, and T. Chan, Weighted Essentially Non-oscillatory Schemes, Journal of Computational Physics, vol.115, issue.1, pp.200-212, 1994.
DOI : 10.1006/jcph.1994.1187
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.8744

P. Macneice, K. M. Olson, C. Mobarry, R. D. Fainchtein, and C. Packer, PARAMESH: A parallel adaptive mesh refinement community toolkit, Computer Physics Communications, vol.126, issue.3, p.126, 2000.
DOI : 10.1016/S0010-4655(99)00501-9

W. Boender, A. K. Chesters, and A. J. Van-der-zanden, An approximate analytical solution of the hydrodynamic problem associated with an advancing liquid-gas contact line, International Journal of Multiphase Flow, vol.17, issue.5, pp.661-676, 1991.
DOI : 10.1016/0301-9322(91)90031-W

J. Lowndes, The numerical simulation of the steady movement of a fluid meniscus in a capillary tube, Journal of Fluid Mechanics, vol.76, issue.03, p.631646, 1980.
DOI : 10.1016/0020-7683(68)90031-0

E. Ramé, On an approximate model for the shape of a liquid???air interface receding in a capillary tube, Journal of Fluid Mechanics, vol.342, pp.87-96, 1997.
DOI : 10.1017/S0022112097005004

Y. Sui and P. D. Spelt, Sustained inertial-capillary oscillations and jet formation in displacement flow in a tube, Physics of Fluids, vol.23, issue.12, p.122104, 2011.
DOI : 10.1063/1.3670010
URL : https://hal.archives-ouvertes.fr/hal-00691093

H. Ding, E. Q. Li, F. H. Zhang, Y. Sui, P. D. Spelt et al., Propagation of capillary waves and ejection of small droplets in rapid droplet spreading, Journal of Fluid Mechanics, vol.1, pp.92-114, 2012.
DOI : 10.1103/PhysRevE.75.046708
URL : https://hal.archives-ouvertes.fr/hal-00744484

P. Sheng and M. Zhou, Immiscible-fluid displacement: Contact-line dynamics and the velocity-dependent capillary pressure, Physical Review A, vol.45, issue.8, pp.5694-5708, 1992.
DOI : 10.1103/PhysRevA.45.5694