A. Chiapolino, P. Boivin, and R. Saurel, A simple phase transition relaxation solver for liquid-vapor flows, International Journal for Numerical Methods in Fluids, vol.77, issue.2, pp.583-605, 2017.
DOI : 10.1002/fld.4282

URL : https://hal.archives-ouvertes.fr/hal-01359203

M. Baer and J. Nunziato, A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials, International Journal of Multiphase Flow, vol.12, issue.6, pp.861-889, 1986.
DOI : 10.1016/0301-9322(86)90033-9

A. Kapila, R. Menikoff, J. Bdzil, S. Son, and D. Stewart, Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Physics of Fluids, vol.140, issue.10, pp.3002-3024, 2001.
DOI : 10.1137/S0036139994268292

R. Saurel, F. Petitpas, and R. , Modelling phase transition in metastable liquids: application to cavitating and flashing flows, Journal of Fluid Mechanics, vol.15, pp.313-350, 2008.
DOI : 10.1017/S0022112087003227

URL : https://hal.archives-ouvertes.fr/inria-00333908

S. Lemartelot, B. Nkonga, and R. Saurel, Liquid and liquid???gas flows at all speeds, Journal of Computational Physics, vol.255, pp.53-82, 2013.
DOI : 10.1016/j.jcp.2013.08.001

URL : https://hal.archives-ouvertes.fr/hal-00695799

R. Saurel, P. Boivin, and O. L. Métayer, A general formulation for cavitating, boiling and evaporating flows, Computers & Fluids, vol.128, pp.53-64, 2016.
DOI : 10.1016/j.compfluid.2016.01.004

URL : https://hal.archives-ouvertes.fr/hal-01277179

P. Downar-zapolski, Z. Bilicki, L. Bolle, and J. Franco, The non-equilibrium relaxation model for one-dimensional flashing liquid flow, International Journal of Multiphase Flow, vol.22, issue.3, pp.473-483, 1996.
DOI : 10.1016/0301-9322(95)00078-X

M. Barret, E. Faucher, and J. Hérard, Schemes to Compute Unsteady Flashing Flows, AIAA Journal, vol.40, issue.5, pp.905-913, 2002.
DOI : 10.2514/2.1727

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.2912

O. , L. Métayer, J. Massoni, and R. Saurel, Dynamic relaxation processes in compressible multiphase flows. Application to evaporation phenomena, ESAIM: Proceedings, pp.103-123, 2013.

M. Lallemand and R. Saurel, Pressure relaxation procedures for multiphase compressible flows, International Journal for Numerical Methods in Fluids, vol.61, issue.1
DOI : 10.1002/fld.967

URL : https://hal.archives-ouvertes.fr/inria-00072600

O. , L. Métayer, J. Massoni, and R. Saurel, Elaborating equations of state of a liquid and its vapor for two-phase flow models; Elaboration des lois d'´ etat d'un liquide et de sa vapeur pour les modèles d'´ ecoulements diphasiques, International Journal of Thermal Sciences, vol.43, issue.3, pp.265-276, 2004.

O. , L. Métayer, and R. Saurel, The Noble-Abel Stiffened-Gas equation of state, Physics of Fluids, vol.28, issue.4, p.46102, 2016.

D. Furfaro and R. Saurel, Modeling droplet phase change in the presence of a multi-component gas mixture, Applied Mathematics and Computation, vol.272, pp.518-541, 2016.
DOI : 10.1016/j.amc.2015.02.083

URL : https://hal.archives-ouvertes.fr/hal-01278890

E. F. Toro, Riemann solvers and numerical methods for fluid dynamics: A practical introduction, 1997.
DOI : 10.1007/978-3-662-03490-3

S. , L. Martelot, R. Saurel, and B. Nkonga, Towards the direct numerical simulation of nucleate boiling flows, International Journal of Multiphase Flow, vol.66, pp.62-78, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01313339

D. Furfaro and R. Saurel, A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows, Computers & Fluids, vol.111, pp.159-178, 2015.
DOI : 10.1016/j.compfluid.2015.01.016

URL : https://hal.archives-ouvertes.fr/hal-01278892

. Appendixa, Summary of the iterative algorithm