Closure laws for a two-fluid two-pressure model, Comptes Rendus Mathematique, vol.334, issue.10, pp.334927-932, 2002. ,
DOI : 10.1016/S1631-073X(02)02366-X
URL : https://hal.archives-ouvertes.fr/hal-01484345
Some New Godunov and Relaxation Methods for Two-Phase Flow Problems, Godunov methods, pp.179-188, 1999. ,
DOI : 10.1007/978-1-4615-0663-8_18
A Class of Two-fluid Two-phase Flow Models, 42nd AIAA Fluid Dynamics Conference and Exhibit ,
DOI : 10.2514/6.2012-3356
Definition and weak stability of nonconservative products, J. de Math. Pures et Appl, vol.74, issue.6, pp.483-548, 1995. ,
A conservative approximation to compressible two-phase flow models in the stiff mechanical relaxation limit, Journal of Computational Physics, vol.227, issue.21, pp.9241-9270, 2008. ,
DOI : 10.1016/j.jcp.2007.12.011
Theory of multicomponent fluids, Applied Mathematical Sciences, vol.135, 1999. ,
DOI : 10.1007/b97678
Hyperbolic relaxation models for granular flows, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.2, pp.371-400, 2010. ,
DOI : 10.1051/m2an/2010006
NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH, Mathematical Models and Methods in Applied Sciences, vol.14, issue.05, pp.663-700, 2004. ,
DOI : 10.1142/S0218202504003404
Mathematical and Numerical Modeling of Two-Phase Compressible Flows with Micro-Inertia, Journal of Computational Physics, vol.175, issue.1, pp.326-360, 2002. ,
DOI : 10.1006/jcph.2001.6951
The Riemann problem for a class of resonant hyperbolic systems of balance laws, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.21, issue.6, pp.881-902, 2004. ,
DOI : 10.1016/j.anihpc.2004.02.002
NEPTUNE: A New Software Platform for Advanced Nuclear Thermal Hydraulics, Nuclear Science and Engineering, vol.156, issue.3, pp.281-324 ,
DOI : 10.13182/NSE05-98
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983. ,
DOI : 10.1137/1025002
Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law, SIAM Journal on Applied Mathematics, vol.55, issue.3, pp.625-640, 1995. ,
DOI : 10.1137/S0036139992240711
Thermo-fluid dynamics of two-phase flow, 2006. ,
Two-phase modeling of DDT: Structure of the velocity-relaxation zone, Physics of Fluids, vol.9, issue.12, pp.3885-3897, 1997. ,
DOI : 10.1063/1.869488
Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Hernàndez-Dueñas. A hybrid algorithm for the Baer-Nunziato model using the Riemann invariants, pp.3002-3024382, 2001. ,
DOI : 10.1063/1.1398042
Dissipative structure and entropy for hyperbolic systems of balance laws. Archive for Rational Mechanics and Analysis, pp.345-364, 2004. ,
Shock waves for nonlinear hyperbolic systems in nonconservative form, 1991. ,
Fermetures entropiques pour les syst??mes bifluides ?? sept ??quations, Comptes Rendus M??canique, vol.333, issue.11, pp.838-842, 2005. ,
DOI : 10.1016/j.crme.2005.09.006
Hyperbolic two-pressure models for two-phase flow, Journal of Computational Physics, vol.53, issue.1, pp.124-151, 1984. ,
DOI : 10.1016/0021-9991(84)90056-1
Contribution à la modélisation mathématique et numérique des écoulements diphasiques constitués d'un nuage de particules dans un écoulement de gaz. Thèse d'habilitation à diriger des recherches, 1995. ,
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows, Journal of Computational Physics, vol.150, issue.2, pp.425-467, 1999. ,
DOI : 10.1006/jcph.1999.6187
A multiphase model with internal degrees of freedom: application to shock???bubble interaction, Journal of Fluid Mechanics, vol.495, pp.283-321, 2003. ,
DOI : 10.1017/S002211200300630X
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow, Journal of Computational Physics, vol.212, issue.2, pp.490-526, 2006. ,
DOI : 10.1016/j.jcp.2005.07.012
Two-phase flow: Models and methods, Journal of Computational Physics, vol.56, issue.3, pp.363-409, 1984. ,
DOI : 10.1016/0021-9991(84)90103-7
Numerical approximation for a Baer???Nunziato model of two-phase flows, Applied Numerical Mathematics, vol.61, issue.5, pp.61702-721, 2011. ,
DOI : 10.1016/j.apnum.2011.01.004
HLLC-type Riemann solver for the Baer???Nunziato equations of compressible two-phase flow, Journal of Computational Physics, vol.229, issue.10, pp.3573-3604, 2010. ,
DOI : 10.1016/j.jcp.2010.01.016
Entropy and global existence for hyperbolic balance laws. Archive for Rational Mechanics and Analysis, pp.247-266, 2004. ,
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.6, pp.1063-1097, 2009. ,
DOI : 10.1051/m2an/2009038
On the solution to the Riemann problem for the compressible duct flow, SIAM J. Appl. Math, vol.64, issue.3, pp.878-901, 2004. ,
ON ZERO PRESSURE GAS DYNAMICS, Advances in kinetic theory and computing, pp.171-190, 1994. ,
DOI : 10.1142/9789814354165_0006
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Frontiers in Mathematics, 2004. ,
A well-balanced numerical scheme for the approximation of the shallow-water equations with topography: the resonance phenomenon, Int. J. Finite Volumes, pp.1-33, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00017378
Some New Godunov and Relaxation Methods for Two-Phase Flow Problems, Godunov methods, pp.179-188, 1999. ,
DOI : 10.1007/978-1-4615-0663-8_18
Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics, SIAM Journal on Numerical Analysis, vol.35, issue.6, pp.2223-2249, 1998. ,
DOI : 10.1137/S0036142997318528
Hyperbolic conservation laws in continuum physics, 2005. ,
Measure-valued solutions to conservation laws, Archive for Rational Mechanics and Analysis, vol.2, issue.3, pp.223-270, 1985. ,
DOI : 10.1007/BF00752112
Some approximate Godunov schemes to compute shallow-water equations with topography, Computers & Fluids, vol.32, issue.4, pp.479-513, 2003. ,
DOI : 10.1016/S0045-7930(02)00011-7
The Riemann problem for a class of resonant hyperbolic systems of balance laws, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.21, issue.6, pp.881-902, 2004. ,
DOI : 10.1016/j.anihpc.2004.02.002
Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
Un schéma-équilibre adapté aux lois de conservation scalaires non-homogènes, C. R. Acad. Sci. Paris Sér. I Math, vol.323, issue.5, pp.543-546, 1996. ,
A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations, SIAM Journal on Numerical Analysis, vol.33, issue.1, pp.1-16, 1996. ,
DOI : 10.1137/0733001
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983. ,
DOI : 10.1137/1025002
Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law, SIAM Journal on Applied Mathematics, vol.55, issue.3, pp.625-640, 1995. ,
DOI : 10.1137/S0036139992240711
The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Communications on Pure and Applied Mathematics, vol.54, issue.3, pp.235-276, 1995. ,
DOI : 10.1002/cpa.3160480303
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials, Commun. Math. Sci. International Journal of Multiphase Flow, vol.1, issue.126, pp.763-797861, 1986. ,
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Frontiers in Mathematics, 2004. ,
Relaxation and numerical approximation for fluid flows in a nozzle ,
Closure laws for a two-fluid two-pressure model, Comptes Rendus Mathematique, vol.334, issue.10, pp.334927-932, 2002. ,
DOI : 10.1016/S1631-073X(02)02366-X
URL : https://hal.archives-ouvertes.fr/hal-01484345
Some New Godunov and Relaxation Methods for Two-Phase Flow Problems, Godunov methods, pp.179-188, 1999. ,
DOI : 10.1007/978-1-4615-0663-8_18
RELAXATION OF FLUID SYSTEMS, Mathematical Models and Methods in Applied Sciences, vol.22, issue.08, p.2012 ,
DOI : 10.1142/S0218202512500145
URL : https://hal.archives-ouvertes.fr/hal-00776822
Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics, SIAM Journal on Numerical Analysis, vol.35, issue.6, pp.2223-2249, 1998. ,
DOI : 10.1137/S0036142997318528
Mathematical analysis of a two-phase continuum mixture theory, Continuum Mechanics and Thermodynamics, vol.10, issue.4, pp.279-312, 1992. ,
DOI : 10.1007/BF01129333
NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH, Mathematical Models and Methods in Applied Sciences, vol.14, issue.05, pp.663-700, 2004. ,
DOI : 10.1142/S0218202504003404
Mathematical and Numerical Modeling of Two-Phase Compressible Flows with Micro-Inertia, Journal of Computational Physics, vol.175, issue.1, pp.326-360, 2002. ,
DOI : 10.1006/jcph.2001.6951
Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
A fractional step method to compute a class of compressible gas-luiquid flows. Computers & Fluids, An International Journal, vol.55, pp.57-69, 2012. ,
The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Communications on Pure and Applied Mathematics, vol.54, issue.3, pp.235-276, 1995. ,
DOI : 10.1002/cpa.3160480303
Two-phase modeling of DDT: Structure of the velocity-relaxation zone, Physics of Fluids, vol.9, issue.12, pp.3885-3897, 1997. ,
DOI : 10.1063/1.869488
Shock waves for nonlinear hyperbolic systems in nonconservative form, 1991. ,
A multiphase godunov method for compressible multifluid and multiphase flows discontinuity, the eigenvalue u 2 is constant and we have the following jump relations (see for instance, Journal of Computational Physics, vol.15013, issue.23 2 0, pp.425-467, 1999. ,
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.6, pp.1063-1097, 2009. ,
DOI : 10.1051/m2an/2009038
A Godunov-type method for the seven-equation model of compressible two-phase flow, Computers & Fluids, vol.54, issue.0, pp.67-91, 2012. ,
DOI : 10.1016/j.compfluid.2011.10.004
URL : https://hal.archives-ouvertes.fr/hal-00517375
The Riemann problem for the Baer???Nunziato two-phase flow model, Journal of Computational Physics, vol.195, issue.2, pp.434-464, 2004. ,
DOI : 10.1016/j.jcp.2003.10.006
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
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Frontiers in Mathematics, 2004. ,
Closure laws for a two-fluid two-pressure model, Comptes Rendus Mathematique, vol.334, issue.10, pp.334927-932, 2002. ,
DOI : 10.1016/S1631-073X(02)02366-X
URL : https://hal.archives-ouvertes.fr/hal-01484345
Some New Godunov and Relaxation Methods for Two-Phase Flow Problems, Godunov methods, pp.179-188, 1999. ,
DOI : 10.1007/978-1-4615-0663-8_18
RELAXATION OF FLUID SYSTEMS, Mathematical Models and Methods in Applied Sciences, vol.22, issue.08, p.2012 ,
DOI : 10.1142/S0218202512500145
URL : https://hal.archives-ouvertes.fr/hal-00776822
A splitting method for the isentropic Baer-Nunziato two-phase flow model, ESAIM: Proceedings, vol.38 ,
DOI : 10.1051/proc/201238013
URL : https://hal.archives-ouvertes.fr/hal-01265218
Relaxation approximation for the isentropic Baer-Nunziato model with vanishing phases ,
Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics, SIAM Journal on Numerical Analysis, vol.35, issue.6, pp.2223-2249, 1998. ,
DOI : 10.1137/S0036142997318528
A conservative approximation to compressible two-phase flow models in the stiff mechanical relaxation limit, Journal of Computational Physics, vol.227, issue.21, pp.9241-9270, 2008. ,
DOI : 10.1016/j.jcp.2007.12.011
Mathematical analysis of a two-phase continuum mixture theory, Continuum Mechanics and Thermodynamics, vol.10, issue.4, pp.279-312, 1992. ,
DOI : 10.1007/BF01129333
Finite volume methods, VII, Handb. Numer. Anal., VII, pp.713-1020, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00346077
NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH, Mathematical Models and Methods in Applied Sciences, vol.14, issue.05, pp.663-700, 2004. ,
DOI : 10.1142/S0218202504003404
Mathematical and Numerical Modeling of Two-Phase Compressible Flows with Micro-Inertia, Journal of Computational Physics, vol.175, issue.1, pp.326-360, 2002. ,
DOI : 10.1006/jcph.2001.6951
Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, SIAM Review, vol.25, issue.1, pp.35-61, 1983. ,
DOI : 10.1137/1025002
A fractional step method to compute a class of compressible gas-luiquid flows. Computers & Fluids, An International Journal, vol.55, pp.57-69, 2012. ,
Two-phase modeling of DDT: Structure of the velocity-relaxation zone, Physics of Fluids, vol.9, issue.12, pp.3885-3897, 1997. ,
DOI : 10.1063/1.869488
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows, Journal of Computational Physics, vol.150, issue.2, pp.425-467, 1999. ,
DOI : 10.1006/jcph.1999.6187
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow, Journal of Computational Physics, vol.212, issue.2, pp.490-526, 2006. ,
DOI : 10.1016/j.jcp.2005.07.012
Some exact solutions to the nonlinear shallow-water wave equations, Journal of Fluid Mechanics, vol.8, issue.-1, pp.499-508, 1981. ,
DOI : 10.1017/S0022112058000331
Numerical approximation for a Baer???Nunziato model of two-phase flows, Applied Numerical Mathematics, vol.61, issue.5, pp.61702-721, 2011. ,
DOI : 10.1016/j.apnum.2011.01.004
HLLC-type Riemann solver for the Baer???Nunziato equations of compressible two-phase flow, Journal of Computational Physics, vol.229, issue.10, pp.3573-3604361, 2003. ,
DOI : 10.1016/j.jcp.2010.01.016
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.6, pp.1063-1097, 2009. ,
DOI : 10.1051/m2an/2009038
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
Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows, Proceedings in Mathematics, FVCA 6, pp.225-233, 2011. ,
DOI : 10.1007/978-3-642-20671-9_24
URL : https://hal.archives-ouvertes.fr/hal-01018835
RELAXATION OF FLUID SYSTEMS, Mathematical Models and Methods in Applied Sciences, vol.22, issue.08, p.2012 ,
DOI : 10.1142/S0218202512500145
URL : https://hal.archives-ouvertes.fr/hal-00776822
A Class of Two-fluid Two-phase Flow Models, 42nd AIAA Fluid Dynamics Conference and Exhibit ,
DOI : 10.2514/6.2012-3356
NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH, Mathematical Models and Methods in Applied Sciences, vol.14, issue.05, pp.663-700, 2004. ,
DOI : 10.1142/S0218202504003404
A fractional step method to compute a class of compressible gas-luiquid flows. Computers & Fluids, An International Journal, vol.55, pp.57-69, 2012. ,
Fermetures entropiques pour les syst??mes bifluides ?? sept ??quations, Comptes Rendus M??canique, vol.333, issue.11, pp.838-842, 2005. ,
DOI : 10.1016/j.crme.2005.09.006
A multiphase model with internal degrees of freedom: application to shock???bubble interaction, Journal of Fluid Mechanics, vol.495, pp.283-321, 2003. ,
DOI : 10.1017/S002211200300630X
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow, Journal of Computational Physics, vol.212, issue.2, pp.490-526, 2006. ,
DOI : 10.1016/j.jcp.2005.07.012
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model, M2AN Math. Model. Numer. Anal, vol.43, issue.16, pp.1063-1097, 2009. ,
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
Dévelopement de schémas numériques adaptés à l'hydrodynamique, 1991. ,
Global weak solutions to a generic two-fluid model. Archive for Rational Mechanics and Analysis, pp.599-629, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00839425
Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows, Proceedings in Mathematics, FVCA 6, pp.225-233, 2011. ,
DOI : 10.1007/978-3-642-20671-9_24
URL : https://hal.archives-ouvertes.fr/hal-01018835
Closure laws for a two-fluid two-pressure model, Comptes Rendus Mathematique, vol.334, issue.10, pp.334927-932, 2002. ,
DOI : 10.1016/S1631-073X(02)02366-X
URL : https://hal.archives-ouvertes.fr/hal-01484345
RELAXATION OF FLUID SYSTEMS, Mathematical Models and Methods in Applied Sciences, vol.22, issue.08, p.2012 ,
DOI : 10.1142/S0218202512500145
URL : https://hal.archives-ouvertes.fr/hal-00776822
Mathematical analysis of a two-phase continuum mixture theory, Continuum Mechanics and Thermodynamics, vol.10, issue.4, pp.279-312, 1992. ,
DOI : 10.1007/BF01129333
Mathematical and Numerical Modeling of Two-Phase Compressible Flows with Micro-Inertia, Journal of Computational Physics, vol.175, issue.1, pp.326-360, 2002. ,
DOI : 10.1006/jcph.2001.6951
A fractional step method to compute a class of compressible gas-luiquid flows. Computers & Fluids, An International Journal, vol.55, pp.57-69, 2012. ,
Two-phase modeling of DDT: Structure of the velocity-relaxation zone, Physics of Fluids, vol.9, issue.12, pp.3885-3897, 1997. ,
DOI : 10.1063/1.869488
A Hybrid Algorithm for the Baer-Nunziato Model Using??the??Riemann Invariants, Journal of Scientific Computing, vol.212, issue.3, pp.382-403, 2010. ,
DOI : 10.1007/s10915-009-9332-y
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows, Journal of Computational Physics, vol.150, issue.2, pp.425-467, 1999. ,
DOI : 10.1006/jcph.1999.6187
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow, Journal of Computational Physics, vol.212, issue.2, pp.490-526, 2006. ,
DOI : 10.1016/j.jcp.2005.07.012
Numerical approximation for a Baer???Nunziato model of two-phase flows, Applied Numerical Mathematics, vol.61, issue.5, pp.61702-721, 2011. ,
DOI : 10.1016/j.apnum.2011.01.004
HLLC-type Riemann solver for the Baer???Nunziato equations of compressible two-phase flow, Journal of Computational Physics, vol.229, issue.10, pp.3573-3604, 2010. ,
DOI : 10.1016/j.jcp.2010.01.016
Fluid Dynamics, Power Generation and Environment, 6 quai Watier ,
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model, ESAIM: Mathematical Modelling and Numerical Analysis, vol.43, issue.6, pp.1063-1098, 2009. ,
DOI : 10.1051/m2an/2009038
A Godunov-type method for the seven-equation model of compressible two-phase flow, Computers & Fluids, vol.54, pp.67-91, 2012. ,
DOI : 10.1016/j.compfluid.2011.10.004
URL : https://hal.archives-ouvertes.fr/hal-00517375
The Riemann problem for the Baer???Nunziato two-phase flow model, Journal of Computational Physics, vol.195, issue.2, pp.434-464, 2004. ,
DOI : 10.1016/j.jcp.2003.10.006
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
Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues, Physics of Fluids, vol.11, issue.2, pp.378-402, 1999. ,
DOI : 10.1063/1.869887
Closure laws for a two-fluid two-pressure model, Comptes Rendus Mathematique, vol.334, issue.10, pp.332-927, 2002. ,
DOI : 10.1016/S1631-073X(02)02366-X
URL : https://hal.archives-ouvertes.fr/hal-01484345
On the Computation of the Baer-Nunziato Model, 42nd AIAA Fluid Dynamics Conference and Exhibit, 2012. ,
DOI : 10.2514/6.2012-3355
Theory of multicomponent fluids, Applied Mathematical Sciences, vol.135, 1999. ,
DOI : 10.1007/b97678
Mathematical analysis of a two-phase continuum mixture theory, Continuum Mechanics and Thermodynamics, vol.10, issue.4, pp.279-312, 1992. ,
DOI : 10.1007/BF01129333
Hyperbolic relaxation models for granular flows, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.2, pp.2010371-400 ,
DOI : 10.1051/m2an/2010006
NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH, Mathematical Models and Methods in Applied Sciences, vol.14, issue.05, pp.663-700, 2004. ,
DOI : 10.1142/S0218202504003404
Mathematical and Numerical Modeling of Two-Phase Compressible Flows with Micro-Inertia, Journal of Computational Physics, vol.175, issue.1, pp.326-360, 2002. ,
DOI : 10.1006/jcph.2001.6951
A two-fluid hyperbolic model in a porous medium, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.6, pp.1319-1348, 2010. ,
DOI : 10.1051/m2an/2010033
URL : https://hal.archives-ouvertes.fr/hal-01265320
Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing, Physics Letters A, vol.222, issue.3, pp.171-1763, 1996. ,
DOI : 10.1016/0375-9601(96)00648-2
Two-phase modelling of a fluid mixing layer, Journal of Fluid Mechanics, vol.378, pp.119-143, 1999. ,
DOI : 10.1017/S0022112098003127
A High-Resolution Numerical Method for a Two-Phase Model of Deflagration-to-Detonation Transition, Journal of Computational Physics, vol.163, issue.2, pp.376-433, 2000. ,
DOI : 10.1006/jcph.2000.6569
A three-phase flow model, Mathematical and Computer Modelling, vol.45, issue.5-6, pp.432-455, 2007. ,
DOI : 10.1016/j.mcm.2006.07.018
Une classe de modèles diphasiques bi-fluides avec changement de régime, 2010. ,
Computing two-fluid models of compressible watervapour flows with mass transfer, 2012. ,
Thermofluid dynamic theory of two-phase flow, 1975. ,
Weakly compressible two-pressure two-phase flow, Acta Mathematica Scientia, vol.29, issue.6, pp.1497-1540, 2009. ,
DOI : 10.1016/S0252-9602(10)60001-X
Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Physics of Fluids, vol.13, issue.10, pp.3002-3024, 2001. ,
DOI : 10.1063/1.1398042
Two-phase modeling of DDT: Structure of the velocity-relaxation zone, Physics of Fluids, vol.9, issue.12, pp.3885-3897, 1997. ,
DOI : 10.1063/1.869488
A mean-field description of two-phase flows with phase changes, International Journal of Multiphase Flow, vol.29, issue.3, pp.511-525, 2003. ,
DOI : 10.1016/S0301-9322(03)00003-X
Evolution of the volumetric interfacial area in two-phase mixtures, Comptes Rendus M??canique, vol.332, issue.2, pp.103-108, 2004. ,
DOI : 10.1016/j.crme.2003.12.004
Two-phase shock-tube problems and numerical methods of solution, Journal of Computational Physics, vol.204, issue.2, pp.598-632, 2005. ,
DOI : 10.1016/j.jcp.2004.10.023
Fermetures entropiques pour les syst??mes bifluides ?? sept ??quations, Comptes Rendus M??canique, vol.333, issue.11, pp.838-842, 2005. ,
DOI : 10.1016/j.crme.2005.09.006
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows, Journal of Computational Physics, vol.150, issue.2, pp.425-467, 1999. ,
DOI : 10.1006/jcph.1999.6187
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow, Journal of Computational Physics, vol.212, issue.2, pp.490-526, 2006. ,
DOI : 10.1016/j.jcp.2005.07.012
A study of detonation diffraction and failure for a model of compressible two-phase reactive flow, Combustion Theory and Modelling, vol.14, issue.3, pp.331-366, 2010. ,
DOI : 10.1016/0021-9991(84)90073-1
HLLC-type Riemann solver for the Baer???Nunziato equations of compressible two-phase flow, Journal of Computational Physics, vol.229, issue.10, pp.3573-3604, 2010. ,
DOI : 10.1016/j.jcp.2010.01.016