Free Access
Issue
ESAIM: M2AN
Volume 53, Number 3, May-June 2019
Page(s) 1031 - 1059
DOI https://doi.org/10.1051/m2an/2019001
Published online 25 June 2019
  1. A. Ambroso, C. Chalons, F. Coquel and T. Galié, Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. ESAIM: M2AN 43 (2009) 1063–1097. [CrossRef] [EDP Sciences] [Google Scholar]
  2. A. Ambroso, C. Chalons and P.A. Raviart, A Godunov type method for the seven-equation model of compressible two-phase flow. Comput. Fluids 54 (2012) 67–91. [Google Scholar]
  3. M.R. Baer and J.W. Nunziato, A two phase mixture theory for the deflagration to detonation transition (DDT) in reactive granular materials. Int. J. Multiphase Flow 12 (1986) 861–889. [CrossRef] [Google Scholar]
  4. G. Berthoud, Vapor explosions. Annu. Rev. Fluid Mech. 32 (2000) 573–611. [Google Scholar]
  5. W. Bo, H. Jin, D. Kim, X. Liu, H. Lee, N. Pestiau, Y. Yu, J. Glimm and J.W. Grove, Comparison and validation of multiphase closure models. Comput. Math. Appl. 56 (2008) 1291–1302. [Google Scholar]
  6. A. Chauvin, Etude expérimentale de l’atténuation d’une onde de choc par un nuage de gouttes et validation numérique. Ph.D. thesis, Université Aix Marseille (2012). [Google Scholar]
  7. A. Chauvin, G. Jourdan, E. Daniel, L. Houas and R. Tosello, Experimental investigation of the propagation of a planar shock wave through a two-phase gas-liquid medium. Phys. Fluids 23 (2011) 113301. [CrossRef] [Google Scholar]
  8. F. Coquel, T. Gallouët, J.M. Hérard and N. Seguin, Closure laws for a two fluid two-pressure model. C. R. Math. 334 (2002) 927–932. [CrossRef] [MathSciNet] [Google Scholar]
  9. F. Coquel, J.M. Hérard, K. Saleh and N. Seguin, A robust entropy-satisfying finite volume scheme for the isentropic Baer Nunziato model. ESAIM: M2AN 48 (2014) 165–206. [CrossRef] [EDP Sciences] [Google Scholar]
  10. F. Coquel, J.M. Hérard and K. Saleh, A positive and entropy-satisfying finite volume scheme for the Baer Nunziato model. J. Comput. Phys. 330 (2017) 401–435. [Google Scholar]
  11. M. Essadki, Contribution to a unified modelling of fuel injection: From dense liquid to polydisperse evaporating spray. Ph.D. thesis, Ecole Polytechnique (2018). [Google Scholar]
  12. G. Faccanoni, S. Kokh and G. Allaire, Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium. ESAIM: M2AN 46 (2012) 1029–1054. [CrossRef] [EDP Sciences] [Google Scholar]
  13. T. Flätten and H. Lund, Relaxation two-phase flow models and the subcharacteristic condition. Math. Models Methods Appl. Sci. 21 (2011) 2379–2407. [Google Scholar]
  14. S. Gavrilyuk, The structure of pressure relaxation terms: The one-velocity case. EDF report H-I83-2014-0276-EN (2014). [Google Scholar]
  15. S. Gavrilyuk and R. Saurel, Mathematical and numerical modelling of two-phase compressible flows with micro inertia. J. Comput. Phys. 175 (2002) 326–360. [Google Scholar]
  16. B.E. Gelfand, Droplet breakup phenomena in flows with velocity lag. Progr. Energy Combust. Sci. 22 (1996) 201–265. [CrossRef] [Google Scholar]
  17. P. Helluy and H. Mathis, Pressure laws and fast Legendre transform. Math. Models Methods Appl. Sci. 21 (2011) 745–775. [Google Scholar]
  18. P. Helluy and N. Seguin, Relaxation models of phase transition flows. ESAIM: M2AN 40 (2006) 331–352. [CrossRef] [EDP Sciences] [Google Scholar]
  19. J.M. Hérard, A three-phase flow model. Math. Comput. Model. 45 (2007) 732–755. [Google Scholar]
  20. J.M. Hérard, A class of compressible multiphase flow models. C. R. Math 354 (2016) 954–959. [CrossRef] [Google Scholar]
  21. J.M. Hérard and O. Hurisse, A fractional step method to compute a class of compressible gas-liquid flows. Comput. Fluids 55 (2012) 57–69. [Google Scholar]
  22. J.M. Hérard, K. Saleh and N. Seguin, Some mathematical properties of a hyperbolic multiphase flow model. Preprint Hal: 01921027v1 (2018). [Google Scholar]
  23. T. Hibiki, M. Ishii, One-group interfacial area transport of bubbly flows in vertical round tubes. Int. J. Heat Mass Transf. 43 (2000) 2711–2726. [Google Scholar]
  24. A.K. Kapila, S.F. Son, J.B. Bdzil, R. Menikoff and D.S. Stewart, Two phase flow modeling of deflagration to detonation transition: Srtucture of the velocity relaxation zone. Phys. Fluids 9 (1997) 12180–3590. [CrossRef] [Google Scholar]
  25. H. Mathis, A thermodynamically consistent model of a liquid-vapor fluid with a gas. ESAIM: M2AN 53 (2019) 63–84. [CrossRef] [EDP Sciences] [Google Scholar]
  26. M. Massot, F. Laurent, D. Kah and S. de Chaisemartin, A robust moment method for evaluation of the disappearance rate of evaporating sprays. SIAM J. Appl. Math. 70 (2010) 3203–3234. [Google Scholar]
  27. R. Meignen, B. Raverdy, S. Picchi and J. Lamome, The challenge of modelling fuel-coolant interaction. Part II: Steam explosion. Nucl. Eng. Design 280 (2014) 528–541. [CrossRef] [Google Scholar]
  28. S. Müller, M. Hantke and P. Richter, Closure conditions for non-equilibrium multi-component models. Continuum Mech. Thermodyn. 28 (2016) 1157–1190. [CrossRef] [MathSciNet] [Google Scholar]
  29. S. Picchi, MC3D version 3.9. Description of the physical models of the premixing application. IRSN internal report PSN-RES/SAG/2017-0073 (2017). [Google Scholar]
  30. M. Pilch, Acceleration induced fragmentation of liquid drops. Ph.D. thesis, University of Virginia (1981). [Google Scholar]
  31. M. Pilch and C.A. Erdman, Use of breakup time data and velocity history data to predict the maximum size of stable fragments for acceleration induced breakup of a liquid drop. Int. J. Multiphase Flow 28 (1987) 741–757. [CrossRef] [Google Scholar]
  32. X. Rogue, G. Rodriguez, J.F. Haas and R. Saurel, Experimental and numerical investigation of the shock induced fluidization of a particles bed. Shock Waves 8 (2014) 29–46. [Google Scholar]
  33. E. Romenski, A.A. Belozerov, I.M. Peshkov, Conservative formulation for compressible multiphase flows. Preprint ArXiv:1405.3456 (2014). [Google Scholar]
  34. E. Rusanov, Calculation of interaction of non steady shock waves with obstacles. J. Comput. Math. Phys. 1 (1961) 267–279. [Google Scholar]
  35. K. Saleh, A relaxation scheme for a hyperbolic multiphase flow model. Part I: barotropic EOS. Preprint Hal:0173768v1 (2018). [Google Scholar]
  36. W. Yao and C. Morel, Volumetric interfacial area prediction in upward bubbly two-phase flow. Int. J. Heat Mass Transf. 47 (2004) 307–328. [Google Scholar]

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