D. Adalsteinsson and J. A. Sethian, A fast level set method for propagating interfaces, J. Comput. Phys, vol.118, issue.2, pp.269-277, 1995.

D. Anderson, G. Mcfadden, and A. Wheeler, Diffuse-interface methods in fluid mechanics, Annu. Rev. Fluid Mech, vol.30, 1997.

L. Anumolu and M. F. Trujillo, Gradient augmented level set method for phase change simulations, J. Comput. Phys, vol.353, pp.377-406, 2018.

T. D. Aslam, A partial differential equation approach to multidimensional extrapolation, J. Comput. Phys, vol.193, issue.1, pp.349-355, 2004.

R. Aubry, F. Mut, R. Löhner, and J. R. , Deflated preconditioned conjugate gradient solvers for the pressure-poisson equation, J. Comput. Phys, vol.227, issue.24, pp.10196-10208, 2008.

A. Begmohammadi, M. Farhadzadeh, and M. H. Rahimian, Simulation of pool boiling and periodic bubble release at high density ratio using lattice boltzmann method, Int. Commun. Heat Mass Transf, vol.61, pp.78-87, 2015.

A. Begmohammadi, M. H. Rahimian, M. Farhadzadeh, and M. A. Hatani, Numerical simulation of single-and multi-mode film boiling using lattice boltzmann method, Comput. Math. Appl, vol.71, issue.9, pp.1861-1874, 2016.

P. Benard, Analysis and improvement of a centimetric burner by large-eddy simulations. Theses, INSA de Rouen, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01310811

M. Bernard, G. Lartigue, G. Balarac, V. Moureau, and G. Puigt, A framework to perform high-order deconvolution for finite-volume method on simplicial meshes, J. Comput. Phys

J. U. Brackbill, D. B. Kothe, and C. Zemach, A continuum method for modeling surface tension, J. Comput. Phys, vol.100, issue.2, pp.335-354, 1992.

E. Carlini, M. Falcone, and P. Hoch, A generalized fast marching method on unstructured triangular meshes, SIAM J. Numer. Anal, vol.51, issue.6, pp.2999-3035, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00916540

S. Chen and G. D. Doolen, Lattice boltzmann method for fluid flows, Annu. Rev. Fluid Mech, vol.30, issue.1, pp.329-364, 1998.

R. Chiodi and O. Desjardins, A reformulation of the conservative level set reinitialization equation for accurate and robust simulation of complex multiphase flows, J. Comput. Phys, vol.343, pp.186-200, 2017.

A. J. Chorin, Numerical solution of the navier-stokes equations, Math. Comp, vol.22, pp.745-762, 1968.

R. Cole, A photographic study of pool boiling in the region of the critical heat flux, AIChE Journal, vol.6, issue.4, pp.533-538, 1960.

M. G. Cooper, Heat flow rates in saturated nucleate pool boiling-a wide-ranging examination using reduced properties, Advances in Heat Transfer, vol.16, pp.157-239, 1984.

C. Dapogny and P. Frey, Computation of the signed distance function to a discrete contour on adapted triangulation, Calcolo, vol.49, issue.3, pp.193-219, 2012.

P. De-gennes, F. Brochart-wyart, and D. Quéré, Gouttes, bulles, perles et ondes, 2002.

O. Desjardins, V. Moureau, and H. Pitsch, An accurate conservative level set/ghost fluid method for simulating turbulent atomization, J. Comput. Phys, vol.227, issue.18, pp.8395-8416, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01655351

D. Humières, Simulation d'allées de von karman bidimensionellesà l'aide d'un gaz sur réseau, C. R. Acad. Sc, vol.301, pp.1391-1394, 1985.

A. Fakhari and D. Bolster, Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: A lattice boltzmann model for large density and viscosity ratios, J. Comput. Phys, vol.334, pp.620-638, 2017.

R. P. Fedkiw, T. Aslam, B. Merriman, and S. Osher, A non-oscillatory eulerian approach to interfaces in multimaterial flows (the ghost fluid method), J. Comput. Phys, vol.152, issue.2, pp.457-492, 1999.

J. Franc and J. Michel, Fundamentals of Cavitation. Fluid Mechanics and Its Applications, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00216178

U. Frisch, B. Hasslacher, and Y. Pomeau, Lattice-gas automata for the navier-stokes equation, Phys. Rev. Lett, vol.56, pp.1505-1508, 1986.

W. Fritz, Maximum volume of vapour bubbles, Physik Zeitschr, vol.36, pp.379-384, 1935.

F. Gibou, L. Chen, D. Nguyen, and S. Banerjee, A level set based sharp interface method for the multiphase incompressible navier-stokes equations with phase change, J. Comput. Phys, vol.222, issue.2, pp.536-555, 2007.

F. Gibou, R. P. Fedkiw, L. Cheng, and M. Kang, A second-order-accurate symmetric discretization of the poisson equation on irregular domains, J. Comput. Phys, vol.176, issue.1, pp.205-227, 2002.

R. Goldman, Curvature formulas for implicit curves and surfaces, Geometric Modelling and Differential Geometry, vol.22, pp.632-658, 2005.

A. Guion, S. Afkhami, S. Zaleski, and J. Buongiorno, Simulations of microlayer formation in nucleate boiling, Int. J. Heat Mass Transf, vol.127, pp.1271-1284, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01978400

R. Haghani-hassan-abadi and M. H. Rahimian, Hybrid lattice boltzmann finite difference model for simulation of phase change in a ternary fluid, Int. J. Heat Mass Transf, vol.127, pp.704-716, 2018.

P. and H. Trieu, Effects of Nano-and Micro-surface Treatments on Boiling Heat Transfer. Theses, Institut National Polytechnique de Grenoble -INPG, 2010.

F. H. Harlow and J. E. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Phys. Fluids, vol.8, issue.12, pp.2182-2189, 1965.

A. P. Hatton and I. S. Hall, Photographic study of boiling on prepared surfaces, Third International Heat Transfer Conference, vol.4, pp.24-37, 1966.

M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, J. Res. Natl. Bur. Stand, vol.49, issue.6, pp.409-436, 1952.

C. W. Hirt and B. D. Nichols, Volume of fluid (vof) method for the dynamics of free boundaries, J. Comput. Phys, vol.39, issue.1, pp.201-225, 1981.

G. Huber, S. Tanguy, M. Sagan, and C. Colin, Direct numerical simulation of nucleate pool boiling at large microscopic contact angle and moderate jakob number, Int. J. Heat Mass Transf, vol.113, pp.662-682, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01552748

C. Huh and L. E. Scriven, Hydrodynamic model of steady movement of a solid/liquid/fluid contact line, J. Colloid Interface Sci, vol.35, issue.1, pp.85-101, 1971.

H. J. Ivey, Relationships between bubble frequency, departure diameter and rise velocity in nucleate boiling, Int. J. Heat Mass Transf, vol.10, issue.8, pp.1023-1040, 1967.

R. Janodet, G. Vaudor, G. Lartigue, P. Benard, V. Moureau et al., An unstructured conservative level-set algorithm coupled with dynamic mesh adaptation for the computation of liquid-gas flows, 29th European Conference on Liquid Atomization and Spray Systems (ILASS Europe), 2019.
URL : https://hal.archives-ouvertes.fr/hal-02304125

G. Jiang and D. Peng, Weighted eno schemes for hamilton-jacobi equations, SIAM J. Sci. Comput, vol.21, issue.6, pp.2126-2143, 2000.

D. Juric and G. Tryggvason, A front-tracking method for dendritic solidification, J. Comput. Phys, vol.123, issue.1, pp.127-148, 1996.

D. Juric and G. Tryggvason, Computations of boiling flows, Int. J. Multiph. Flow, vol.24, issue.3, pp.387-410, 1998.

J. Kim and P. Moin, Application of a fractional-step method to incompressible navier-stokes equations, J. Comput. Phys, vol.59, issue.2, pp.308-323, 1985.

R. Kimmel and J. A. Sethian, Computing geodesic paths on manifolds, Proc. Natl. Acad. Sci, vol.95, pp.8431-8435, 1998.

M. Kraushaar, Application of the compressible and low-mach number approaches to large-eddy simulation of turbulent flows in aero-engines, 2011.
URL : https://hal.archives-ouvertes.fr/tel-00711480

V. Lakshminarayanan, A. K. Ghatak, and K. Thyagarajan, , 2002.

J. J. Lee and G. Son, A sharp-interface level-set method for compressible bubble growth with phase change, Int. Commun. Heat Mass Transf, vol.86, pp.1-11, 2017.

M. S. Lee, A. Riaz, and V. Aute, Direct numerical simulation of incompressible multiphase flow with phase change, J. Comput. Phys, vol.344, pp.381-418, 2017.

M. Malandain, Simulation massivement parallèle desécoulements turbulentsà faible nombre de Mach, 2013.

M. Malandain, N. Maheu, and V. Moureau, Optimization of the deflated conjugate gradient algorithm for the solving of elliptic equations on massively parallel machines, J. Comput. Phys, vol.238, pp.32-47, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01657525

E. Marchandise, P. Geuzaine, N. Chevaugeon, and J. Remacle, A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics, J. Comput. Phys, vol.225, issue.1, pp.949-974, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01004949

V. Moureau, P. Domingo, and L. Vervisch, Design of a massively parallel cfd code for complex geometries, CR Mécanique, vol.339, issue.2, pp.141-148, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01672172

V. Moureau, P. Domingo, and L. Vervisch, From large-eddy simulation to direct numerical simulation of a lean premixed swirl flame: Filtered laminar flame-pdf modeling, Combust. Flame, vol.158, issue.7, pp.1340-1357, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01672168

D. Q. Nguyen, R. P. Fedkiw, and M. Kang, A boundary condition capturing method for incompressible flame discontinuities, J. Comput. Phys, vol.172, issue.1, pp.71-98, 2001.

R. A. Nicolaides, Deflation of conjugate gradients with applications to boundary value problems, SIAM J. Numer. Anal, vol.24, issue.2, pp.355-365, 1987.

S. Nukiyama, The maximum and minimum values of the heat q transmitted from metal to boiling water under atmospheric pressure, Int. J. Heat Mass Transf, vol.9, issue.12, pp.1419-1433, 1966.

N. Odier, Numerical simulation of liquid jets sheared by a high-speed stream : flapping dynamics and interaction with vortical structures, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01147882

E. Olsson and G. Kreiss, A conservative level set method for two phase flow, J. Comput. Phys, vol.210, issue.1, pp.225-246, 2005.

E. Olsson, G. Kreiss, and S. Zahedi, A conservative level set method for two phase flow ii, J. Comput. Phys, vol.225, issue.1, pp.785-807, 2007.

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on hamilton-jacobi formulations, J. Comput. Phys, vol.79, issue.1, pp.12-49, 1988.

J. Palmore and O. Desjardins, A volume of fluid framework for interface-resolved simulations of vaporizing liquid-gas flows, J. Comput. Phys, vol.399, p.108954, 2019.

J. Pan, Q. Wang, Y. Zhang, and Y. Ren, High-order compact finite volume methods on unstructured grids with adaptive mesh refinement for solving inviscid and viscous flows, Chinese Journal of Aeronautics, vol.31, issue.9, pp.1829-1841, 2018.

I. Perez-raya and S. G. Kandlikar, Discretization and implementation of a sharp interface model for interfacial heat and mass transfer during bubble growth, Int. J. Heat Mass Transf, vol.116, pp.30-49, 2018.

I. Perez-raya and S. G. Kandlikar, Numerical models to simulate heat and mass transfer at sharp interfaces in nucleate boiling, Numerical Heat Transfer, Part A: Applications, vol.74, issue.10, pp.1583-1610, 2018.

C. S. Peskin, Flow patterns around heart valves: A numerical method, J. Comput. Phys, vol.10, issue.2, pp.252-271, 1972.

T. J. Poinsot and S. K. Lelef, Boundary conditions for direct simulations of compressible viscous flows, J. Comput. Phys, vol.101, issue.1, pp.104-129, 1992.

A. H. Rajkotwala, A. Panda, E. Peters, M. W. Baltussen, C. Van-der-geld et al., A critical comparison of smooth and sharp interface methods for phase transition, Int. J. Multiph. Flow, vol.120, p.103093, 2019.

H. T. Rathod and H. S. Rao, Integration of polynomials over an arbitrary tetrahedron in euclidean three-dimensional space, Comput. Struct, vol.59, issue.1, pp.55-65, 1996.

D. H. Rothman and S. Zaleski, Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics. Collection Alea-Saclay: Monographs and Texts in Statistical Physics, 1997.

M. S. Sagan, Simulation numérique directe etétude expérimentale de l'ébullition nucléée en microgravité : application aux réservoirs des moteurs d'Ariane V, 2013.

P. Sagaut and C. Meneveau, Large Eddy Simulation for Incompressible Flows: An Introduction. Scientific Computation, 2006.

G. Sahut, G. Ghigliotti, P. Bégou, P. Marty, and G. Balarac, Numerical simulation of boiling on 3D unstructured grids, Proceedings of the 4th World Congress on Momentum, Heat and Mass Transfer (MHMT'19), 2019.
URL : https://hal.archives-ouvertes.fr/hal-02139325

G. Sahut, G. Ghigliotti, P. Marty, and G. Balarac, Evaluation of Level Set reinitialization algorithms for phase change simulation on unstructured grids, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02324919

P. Sarkar, Simulation of cavitation erosion by a coupled CFD-FEM approach. Theses, Université Grenoble Alpes, 2019.
URL : https://hal.archives-ouvertes.fr/tel-02267374

L. E. Scriven, On the dynamics of phase growth, Chem. Eng. Sci, vol.10, issue.1, pp.1-13, 1959.

J. A. Sethian, A fast marching level set method for monotonically advancing fronts, Proc. Natl. Acad. Sci, vol.93, issue.4, pp.1591-1595, 1996.

C. Shao, K. Luo, M. Chai, H. Wang, and J. Fan, A computational framework for interfaceresolved dns of simultaneous atomization, evaporation and combustion, J. Comput. Phys, vol.371, pp.751-778, 2018.

C. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, 1997.

N. K. Singh and B. Premachandran, A coupled level set and volume of fluid method on unstructured grids for the direct numerical simulations of two-phase flows including phase change, Int. J. Heat Mass Transf, vol.122, pp.182-203, 2018.

G. Son and V. K. Dhir, Numerical Simulation of Film Boiling Near Critical Pressures With a Level Set Method, J. Heat Transfer, vol.120, issue.1, pp.183-192, 1998.

M. R. Spiegel and S. Lipschutz, Schaum's Outline of Vector Analysis, 2ed. Schaum's Outline Series, 2009.

S. Succi, The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond. Numerical Mathematics and Scientific Computation, 2001.

M. Sussman, P. Smereka, and S. Osher, A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys, vol.114, issue.1, pp.146-159, 1994.

S. Tanguy, T. Ménard, and A. Berlemont, A level set method for vaporizing two-phase flows, J. Comput. Phys, vol.221, issue.2, pp.837-853, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00649783

S. Tanguy, M. Sagan, B. Lalanne, F. Couderc, and C. Colin, Benchmarks and numerical methods for the simulation of boiling flows, J. Comput. Phys, vol.264, pp.1-22, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00973210

G. Tomar, G. Biswas, A. Sharma, and A. , Numerical simulation of bubble growth in film boiling using a coupled level-set and volume-of-fluid method, Phys. Fluids, p.17, 2005.

G. Tryggvason, B. Bunner, A. Esmaeeli, D. Juric, N. Al-rawahi et al., A front-tracking method for the computations of multiphase flow, J. Comput. Phys, vol.169, issue.2, pp.708-759, 2001.
URL : https://hal.archives-ouvertes.fr/hal-02146147

G. Tryggvason, R. Scardovelli, and S. Zaleski, Direct Numerical Simulations of Gas-Liquid Multiphase Flows, 2011.

S. O. Unverdi and G. Tryggvason, A front-tracking method for viscous, incompressible, multifluid flows, J. Comput. Phys, vol.100, issue.1, pp.25-37, 1992.

A. Urbano, S. Tanguy, and C. Colin, Direct numerical simulation of nucleate boiling in zero gravity conditions, Int. J. Heat Mass Transf, vol.143, p.118521, 2019.

A. Urbano, S. Tanguy, G. Huber, and C. Colin, Direct numerical simulation of nucleate boiling in micro-layer regime, Int. J. Heat Mass Transf, vol.123, pp.1128-1137, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01793518

H. A. Van-der and . Vorst, Parallel iterative solution methods for linear systems arising from discretized pde's. Lecture Notes on Parallel Iterative Methods for discretized PDE's. AGARD Special Course on Parallel Computing in CFD, 1995.

C. H. Wang and V. K. Dhir, Effect of Surface Wettability on Active Nucleation Site Density During Pool Boiling of Water on a Vertical Surface, J. Heat Transfer, vol.115, issue.3, pp.659-669, 1993.

S. W. Welch, Local simulation of two-phase flows including interface tracking with mass transfer, J. Comput. Phys, vol.121, issue.1, pp.142-154, 1995.

S. W. Welch and J. Wilson, A volume of fluid based method for fluid flows with phase change, J. Comput. Phys, vol.160, issue.2, pp.662-682, 2000.

D. A. Wolf-gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction, Lecture Notes in Mathematics, 1725.

Y. F. Yap, H. Y. Li, J. Lou, L. S. Pan, and Z. Shang, Numerical modeling of three-phase flow with phase change using the level-set method, Int. J. Heat Mass Transf, vol.115, pp.730-740, 2017.

D. Youngs, Time-Dependent Multi-material Flow with Large Fluid Distortion, vol.24, pp.273-285, 1982.

J. Zhang and M. Ni, Direct numerical simulations of incompressible multiphase magnetohydrodynamics with phase change, J. Comput. Phys, vol.375, pp.717-746, 2018.

N. Zuber, Nucleate boiling. the region of isolated bubbles and the similarity with natural convection, Int. J. Heat Mass Transf, vol.6, issue.1, pp.53-78, 1963.