A five equation reduced model for compressible two phase flow problems, Journal of Computational Physics, vol.202, issue.2, pp.664-698, 2005. ,
DOI : 10.1016/j.jcp.2004.07.019
URL : https://hal.archives-ouvertes.fr/hal-00871724
Proposition de m??thodes et mod??les eul??riens pour les probl??mes ?? interfaces entre fluides compressibles en pr??sence de transfert de chaleur, International Journal of Heat and Mass Transfer, vol.45, issue.6, pp.1287-1307, 2002. ,
DOI : 10.1016/S0017-9310(01)00238-1
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
Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Multiphase Flow, Multiscale Modeling & Simulation, vol.5, issue.1, pp.84-115, 2006. ,
DOI : 10.1137/050623851
URL : https://hal.archives-ouvertes.fr/hal-00203660
Numerical study of expansion tube problems: Toward the simulation of cavitation. Computers and Fluids, pp.1-19, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00767725
Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, Journal of Computational Physics, vol.228, p.16781712, 2009. ,
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
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 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 for compressible flows with interfaces, shocks, detonation waves and cavitation, Journal of Fluid Mechanics, vol.431, pp.239-271, 2001. ,
DOI : 10.1017/S0022112000003098
Diffuse interface modeling of two-phase flows based on averaging: mass and momentum equations, Physica D: Nonlinear Phenomena, vol.198, issue.3-4, pp.281-308, 2004. ,
DOI : 10.1016/j.physd.2004.09.003
Modelling evaporation fronts with reactive riemann solvers, Journal of Computational Physics, vol.205, p.567610, 2005. ,
Discrete equations for physical and numerical compressible multiphase mixtures, Journal of Computational Physics, vol.186, issue.2, pp.361-396, 2003. ,
DOI : 10.1016/S0021-9991(03)00011-1
A Five-Equation Model for the Simulation of Interfaces between Compressible Fluids, Journal of Computational Physics, vol.181, issue.2, pp.577-616, 2002. ,
DOI : 10.1006/jcph.2002.7143
A compressible flow model with capillary effects, Journal of Computational Physics, vol.209, issue.1, pp.139-178, 2005. ,
DOI : 10.1016/j.jcp.2005.03.018
Discrete Equation Method (DEM) for the Simulation of Viscous, Compressible, Two-phase Flows. Computers and Fluids ,
URL : https://hal.archives-ouvertes.fr/hal-00911769
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications, Journal of Computational Physics, vol.230, issue.10, pp.3668-3694, 2011. ,
DOI : 10.1016/j.jcp.2011.01.023
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data, SIAM Review, vol.52, issue.2, p.317, 2010. ,
DOI : 10.1137/100786356
Multi-element probabilistic collocation method in high dimensions, Journal of Computational Physics, vol.229, issue.5, pp.1536-1557, 2010. ,
DOI : 10.1016/j.jcp.2009.10.043
Uncertainty propagation using Wiener???Haar expansions, Journal of Computational Physics, vol.197, issue.1, pp.28-57, 2004. ,
DOI : 10.1016/j.jcp.2003.11.033
Multi-resolution analysis of Wiener-type uncertainty propagation schemes, Journal of Computational Physics, vol.197, issue.2, pp.502-531, 2004. ,
DOI : 10.1016/j.jcp.2003.12.020
Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems, Journal of Computational Physics, vol.229, issue.18, pp.6485-6511, 2010. ,
DOI : 10.1016/j.jcp.2010.05.007
Methodes de Galerkin stochastiques adaptatives pour la propagation d'incertitudes parametriques dans les systemes hyperboliques ,
Numerical analysis of the Burgers??? equation in the presence of uncertainty, Journal of Computational Physics, vol.228, issue.22, pp.8394-8412, 2009. ,
DOI : 10.1016/j.jcp.2009.08.012
A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems, Journal of Computational Physics, vol.235, pp.828-845, 2013. ,
DOI : 10.1016/j.jcp.2012.07.041
URL : https://hal.archives-ouvertes.fr/hal-00913846
An adaptive multiresolution semi-intrusive scheme for uq in compressible fluid problems Applying uncertainty quantification to multiphase flow computational fluid dynamics, International Journal for Numerical Methods in Fluids. Powder Technology, vol.242, pp.27-39, 2013. ,
Uncertainty analysis for shock-bubble interaction, Proceedings of the 2010 summer program, 2010. ,
Density estimation of two-phase flow with multiscale and randomly perturbed data, Advances in Water Resources, vol.33, issue.9, pp.1130-1141, 2010. ,
DOI : 10.1016/j.advwatres.2010.07.001
Effect of uncertainty on 2-phase flow into a horizontal completion, Journal of Petroleum Science and Engineering, vol.58, issue.1-2, pp.309-324, 2007. ,
DOI : 10.1016/j.petrol.2007.02.006
Efficient and Accurate Quantification of Uncertainty for Multiphase Flow With the Probabilistic Collocation Method, SPE Journal, vol.14, issue.04, pp.665-679, 2009. ,
DOI : 10.2118/114802-PA
Robust analysis of cavitating flows in the Venturi tube, European Journal of Mechanics - B/Fluids, vol.44, pp.88-99, 2014. ,
DOI : 10.1016/j.euromechflu.2013.11.002
An intrusive hybrid method for discontinuous two-phase flow under uncertainty, Computers & Fluids, vol.86, pp.228-239, 2013. ,
DOI : 10.1016/j.compfluid.2013.07.009
A one-time truncate and encode multiresolution stochastic framework, Journal of Computational Physics, vol.257, pp.19-56, 2014. ,
DOI : 10.1016/j.jcp.2013.08.006
URL : https://hal.archives-ouvertes.fr/hal-00699026
Towards a Unified Multiresolution Scheme in the Combined Physical / Stochastic Space for Stochastic Differential Equations, Mathematics and Computers in Simulation, 2012. ,
Theory of Multicomponent Fluids, Applied Mathematical Sciences, vol.135, 1998. ,
DOI : 10.1007/b97678
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
Riemann Solvers and Numerical Methods for Fluid Dynamics, 1997. ,
Adaptive Multiresolution Schemes for Shock Computations, Journal of Computational Physics, vol.115, issue.2, pp.319-338, 1994. ,
DOI : 10.1006/jcph.1994.1199
Multiresolution algorithms for the numerical solution of hyperbolic conservation laws, Communications on Pure and Applied Mathematics, vol.43, issue.12, pp.1305-1342, 1995. ,
DOI : 10.1002/cpa.3160481201
Multiresolution Representation of Data: A General Framework, SIAM Journal on Numerical Analysis, vol.33, issue.3, pp.1205-1256, 1996. ,
DOI : 10.1137/0733060
Non-linear Multiresolution framework for Uncertainty Quantification in Computational Fluid Dynamics, Journal of Computational and Applied Mathematics, 2013. ,