A Hybrid Method for Two-Phase Flow Simulations, International Conference on Computational Fluid Dynamics, pp.12-16 ,
DOI : 10.1007/978-3-642-17884-9_9
Computational Fluid Dynamics, 2010. ,
A two-dimensional relaxation scheme for the hybrid modelling of two phase flows Congrès Finite Volumes for Complex Applications 6, Prague, 6-10 juin 2011. Publié dans les proceedings " Finite Volumes for Complex Applications . Problems and Perspectives, 2011. ,
Relaxation methods and coupling procedures, International Journal for Numerical Methods in Fluids, vol.71, issue.8, pp.56-1123, 2008. ,
DOI : 10.1002/fld.1680
Relaxation approximation of the Euler equations, Journal of Mathematical Analysis and Applications, vol.348, issue.2, pp.872-893, 2008. ,
DOI : 10.1016/j.jmaa.2008.07.034
Turbulence closure modeling of the dilute gas-particle axisymmetric jet, AIChE Journal, vol.32, issue.1, pp.163-166, 1986. ,
DOI : 10.1002/aic.690320121
A novel Hybrid Moments/Moments-PDF method for turbulent two-phase flows, p.509849, 2006. ,
Turbulent Diffusion of Heavy Particles in the Atmosphere, Journal of the Atmospheric Sciences, vol.20, issue.3, pp.201-209, 1963. ,
DOI : 10.1175/1520-0469(1963)020<0201:TDOHPI>2.0.CO;2
A multiscale kinetic???fluid solver with dynamic localization of kinetic effects, Journal of Computational Physics, vol.229, issue.13, pp.4907-4933, 2010. ,
DOI : 10.1016/j.jcp.2010.03.009
URL : https://hal.archives-ouvertes.fr/hal-00408895
The moment-guided Monte Carlo method, International Journal for Numerical Methods in Fluids, vol.5, issue.1, pp.189-213, 2011. ,
DOI : 10.1002/fld.2345
URL : https://hal.archives-ouvertes.fr/hal-00408891
A smooth transition model between kinetic and hydrodynamic equations, Journal of Computational Physics, vol.209, issue.2, pp.665-694, 2005. ,
DOI : 10.1016/j.jcp.2005.03.025
URL : https://hal.archives-ouvertes.fr/hal-00362974
Precipitation of particles from a turbulent flow, Mekkanika Zhidkosti i Gaza, vol.5, pp.96-104, 1988. ,
Large eddy simulation applied to the motion of particles in stationary homogeneous fluid turbulence. Turbulence modification in multiphase flows, pp.255-60, 1991. ,
A relaxation scheme for hybrid modelling of gas-particle flows, Computers & Fluids, vol.70, 2012. ,
DOI : 10.1016/j.compfluid.2012.09.015
URL : https://hal.archives-ouvertes.fr/hal-01265317
Mathematical Modeling of Two-Phase Flow, Annual Review of Fluid Mechanics, vol.15, issue.1, pp.261-91, 1983. ,
DOI : 10.1146/annurev.fl.15.010183.001401
The heterogeneous multiscale methods, Commu. Math. Sci, vol.1, issue.1, pp.87-132, 2003. ,
Analysis of multiscale methods for stochastic differential equations, Communications on Pure and Applied Mathematics, 2003. ,
A two-equation turbulence model for two-phase flows, Physics of Fluids, vol.26, issue.4, pp.931-938, 1983. ,
DOI : 10.1063/1.864243
Direct simulation of particle dispersion in a decaying isotropic turbulence, Journal of Fluid Mechanics, vol.82, issue.-1, pp.655-700, 1992. ,
DOI : 10.1063/1.1761356
Handbook of stochastic methods for physics, chemistry and natural sciences, 1990. ,
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
Coupling fluid models, Proccedings of the International Conference Finite Volumes for Complex Applications, pp.87-102, 2008. ,
Numerical approximation of hyperbolic systems of conservation laws, AMS, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
Heterogeneous Atomistic-Continuum Representations for Dense Fluid Systems, International Journal of Modern Physics C, vol.08, issue.04, p.967, 1997. ,
DOI : 10.1142/S0129183197000837
Hybrid Atomistic???Continuum Formulations and the Moving Contact-Line Problem, Journal of Computational Physics, vol.154, issue.2, pp.245-265, 1999. ,
DOI : 10.1006/jcph.1999.6302
Non-equilibrium prediction of the particle-phase stress tensor in vertical pneumatic conveying. In: Gas-Solid Flows, ASME FED, vol.166, pp.253-263, 1993. ,
A relaxation tool to compute hybrid Euler-Lagrange compressible models, 2006. ,
Coupling two and one-dimensional unsteady Euler equations through a thin interface, Computers & Fluids, vol.36, issue.4, pp.651-666, 2007. ,
DOI : 10.1016/j.compfluid.2006.03.007
Some attempts to couple distinct fluid models. Networks and Heterogeneous Media, pp.649-660, 2010. ,
A Finite Volume scheme for hybrid turbulent twophase flow models. AIAA paper, pp.2007-4587 ,
Numerical techniques for solving hybrid Eulerian Lagrangian models for particulate flows, pp.1-50, 2009. ,
Computer simulation using particles, 1988. ,
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
Comparison of the RANS and PDF methods for air-particle flows, International Journal of Multiphase Flow, vol.35, issue.10, pp.914-923, 2009. ,
DOI : 10.1016/j.ijmultiphaseflow.2009.06.002
Simulations numériques et modélisation des interactions entre l'entraînement pas la turbulence et les collisions interparticulaires en écoulement gas-solide, 1997. ,
New Trends in Large-Eddy Simulations of Turbulence, Annual Review of Fluid Mechanics, vol.28, issue.1, pp.45-82, 1996. ,
DOI : 10.1146/annurev.fl.28.010196.000401
Coupling Boltzmann and Navier???Stokes Equations by Half Fluxes, Journal of Computational Physics, vol.136, issue.1, pp.51-67, 1997. ,
DOI : 10.1006/jcph.1997.5729
Nearly exact solution for coupled continuum/MD fluid simulation, Journal of Computer-Aided Materials Design, vol.6, issue.2/3, pp.95-102, 1999. ,
DOI : 10.1023/A:1008731613675
?Smoothed particle hydrodynamics ? a meshfree method?, Computational Mechanics, vol.33, issue.6, 2003. ,
DOI : 10.1007/s00466-004-0573-1
Numerical approaches for motion of dispersed particles, droplets and bubbles, Progress in Energy and Combustion Science, vol.26, issue.3, pp.161-223, 2000. ,
DOI : 10.1016/S0360-1285(99)00013-1
Analytical description of particle/droplet-laden turbulent flows, Progress in Energy and Combustion Science, vol.29, issue.4, pp.329-378, 2003. ,
DOI : 10.1016/S0360-1285(03)00029-7
Stochastic particle dispersion modeling and the tracer-particle limit, Phys. Fluid A, vol.4, p.2809, 1992. ,
The pdf approach to turbulent polydispersed two-phase flows, Physics Reports, vol.352, issue.1-3, pp.1-214, 2001. ,
DOI : 10.1016/S0370-1573(01)00011-4
Weak first- and second-order numerical schemes for stochastic differential equations appearing in Lagrangian two-phase flow modeling, Monte Carlo Methods and Applications, vol.9, issue.2, pp.93-133, 2003. ,
DOI : 10.1515/156939603322663312
Derivation of a PDF model for turbulent flows based on principles from statistical physics, Physics of Fluids, vol.9, issue.6, pp.1748-1753, 1997. ,
DOI : 10.1063/1.869291
Progress in large eddy simulation of turbulent flows, 35th Aerospace Sciences Meeting and Exhibit, pp.97-0749, 1997. ,
DOI : 10.2514/6.1997-749
An introduction to SPH, Computer Physics Communications, vol.48, issue.1, pp.88-96, 1988. ,
DOI : 10.1016/0010-4655(88)90026-4
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows, Journal of Computational Physics, vol.154, issue.2, pp.342-371, 1999. ,
DOI : 10.1006/jcph.1999.6316
The Hybrid Method for the PDF Equations of Turbulent Reactive Flows: Consistency Conditions and Correction Algorithms, Journal of Computational Physics, vol.172, issue.2, pp.841-878, 2001. ,
DOI : 10.1006/jcph.2001.6861
Hybrid continuum-atomistic simulation of singular corner flow, Physics of Fluids, vol.16, issue.10, pp.3579-3591, 2004. ,
DOI : 10.1063/1.1779531
Molecular dynamics???continuum hybrid computations: A tool for studying complex fluid flows, Physical Review E, vol.52, issue.6, pp.5792-5795, 1995. ,
DOI : 10.1103/PhysRevE.52.R5792
Stochastic differential equations. An introduction with applications, 1995. ,
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows, Progress in Energy and Combustion Science, vol.32, issue.3, pp.315-371, 2006. ,
DOI : 10.1016/j.pecs.2005.07.002
A hybrid Eulerian???Lagrangian method to simulate the dispersed phase in turbulent gas-particle flows, International Journal of Multiphase Flow, vol.33, issue.7, pp.766-788, 2007. ,
DOI : 10.1016/j.ijmultiphaseflow.2007.02.003
PDF methods for turbulent reactive flows, Progress in Energy and Combustion Science, vol.11, issue.2, pp.119-92, 1985. ,
DOI : 10.1016/0360-1285(85)90002-4
The velocity???dissipation probability density function model for turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.2, issue.8, p.1437, 1990. ,
DOI : 10.1063/1.857592
Application of the velocity???dissipation probability density function model to inhomogeneous turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.8, p.1947, 1991. ,
DOI : 10.1063/1.857925
On the relationship between stochastic Lagrangian models of turbulence and second???moment closures, Physics of Fluids, vol.6, issue.2, pp.973-985, 1994. ,
DOI : 10.1063/1.868329
Lagrangian PDF Methods for Turbulent Flows, Annual Review of Fluid Mechanics, vol.26, issue.1, pp.23-63, 1994. ,
DOI : 10.1146/annurev.fl.26.010194.000323
Particle Method for Turbulent Flows: Integration of Stochastic Model Equations, Journal of Computational Physics, vol.117, issue.2, pp.332-381, 1995. ,
DOI : 10.1006/jcph.1995.1070
Mean Field Equations in PDF Particle Methods for Turbulent Reactive Flows, 1997. ,
Turbulent flows, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00338511
On the Lagrangian turbulent dispersion models based on the Langevin equation, International Journal of Multiphase Flow, vol.24, issue.6, pp.913-945, 1998. ,
DOI : 10.1016/S0301-9322(98)00016-0
Probability density function modeling of dispersed two-phase turbulent flows, Physical Review E, vol.59, issue.1, pp.855-863, 1998. ,
DOI : 10.1103/PhysRevE.59.855
On a kinetic equation for the transport of particles in turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.3, pp.446-456, 1991. ,
DOI : 10.1063/1.858101
On the continuum equations for dispersed particles in nonuniform flows, Physics of Fluids A: Fluid Dynamics, vol.4, issue.6, pp.1290-1303, 1992. ,
DOI : 10.1063/1.858247
On the constitutive relations for dispersed particles in nonuniform flows. I: Dispersion in a simple shear flow, Physics of Fluids A: Fluid Dynamics, vol.5, issue.3, pp.750-761, 1992. ,
DOI : 10.1063/1.858658
Direct coupling of fluid and kinetic equations, Transport Theory and Statistical Physics, vol.62, issue.6, pp.681-698, 1996. ,
DOI : 10.1080/00411459608222918
URL : https://hal.archives-ouvertes.fr/hal-01313792
A hybrid particle-continuum method applied to shock waves, Journal of Computational Physics, vol.215, issue.2, pp.402-416, 2006. ,
DOI : 10.1016/j.jcp.2005.10.023
Prediction of the dispersed phase turbulence in particle-laden jets. In: Gas-Solid Flows, ASME FED, vol.121, pp.197-206, 1991. ,
Eulerian prediction of the fluid/particle correlated motion in turbulent two-phase flows, Applied Scientific Research, vol.226, issue.1-2, pp.275-83, 1993. ,
DOI : 10.1007/BF01082549
Combustion and turbulence in two-phase flows. Von Karman Institute for Fluid Dynamics, Lecture Series, 1996. ,
Some open questions and inconsistencies of Lagrangian particle dispersion models, Proceedings of the Ninth Symposium on Turbulent Shear Flows, 1993. ,
Modeling and calculation of turbulent gas-solid flows with the Euler/Lagrange approach, KONA (Powder and Particles), pp.194-206, 1999. ,
Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence, Journal of Fluid Mechanics, vol.224, issue.-1, pp.1-35, 1991. ,
DOI : 10.1017/S0022112075000468
Simulation of stochastic differential equations, in probabilistic methods in applied physics, 1995. ,
Hybrid atomistic???continuum method for the simulation of dense fluid flows, Journal of Computational Physics, vol.205, issue.1, pp.373-390, 2005. ,
DOI : 10.1016/j.jcp.2004.11.019
Source of Bias in Particle-Mesh Methods for PDF Models for Turbulent Flows, 1997. ,
Assessment of Numerical Accuracy of PDF/Monte Carlo Methods for Turbulent Reacting Flows, Journal of Computational Physics, vol.152, issue.1, pp.152-192, 1999. ,
DOI : 10.1006/jcph.1999.6241
On the motion of small particles in a homogeneous isotropic turbulent flow, Physics of Fluids A: Fluid Dynamics, vol.3, issue.11, pp.2571-86, 1991. ,
DOI : 10.1063/1.858198
Code_Saturne: a Finite Volume Code for the Computation of Turbulent Incompressible Flows â Industrial Applications, International Journal on Finite Volumes, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-01115371
A Monte-Carlo PDF/Finite-Volume study of turbulent flames, 1996. ,
A novel Hybrid Moments/Moments-PDF method for turbulent two-phase flows, p.509849, 2006. ,
Bubbles, Drops and Particles, 1978. ,
The moment-guided Monte Carlo method, International Journal for Numerical Methods in Fluids, vol.5, issue.1, pp.189-213, 2011. ,
DOI : 10.1002/fld.2345
URL : https://hal.archives-ouvertes.fr/hal-00408891
Precipitation of particles from a turbulent flow, Mekkanika Zhidkosti i Gaza, vol.5, pp.96-104, 1988. ,
Development of a new scheme for hybrid modelling of gas-particle two-phase flows, pp.1-50, 2010. ,
A relaxation scheme for hybrid modelling of gas-particle flows, Computers & Fluids, vol.70, 2012. ,
DOI : 10.1016/j.compfluid.2012.09.015
URL : https://hal.archives-ouvertes.fr/hal-01265317
A two-dimensional relaxation scheme for the hybrid modelling of two phase flows. International Conference Finite Volumes for Complex Applications 6, Prague, 6-10 juin 2011 Finite Volumes for Complex Applications. Problems and Perspectives, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01114210
Probability density function/Monte Carlo simulation of near-wall turbulent flows, Journal of Fluid Mechanics, vol.357, pp.141-66, 1998. ,
DOI : 10.1017/S0022112097008008
Analysis of multiscale methods for stochastic differential equations, Communications on Pure and Applied Mathematics, 2003. ,
Introduction to Stochastic Differential Equations. Marcel Dekker, Monographs and Textbooks in Pure and Applied Mathematics, p.114, 1988. ,
Handbook of stochastic methods for physics, chemistry and natural sciences, 1990. ,
The Faxén formulae for a rigid particle in an unsteady non-uniform Stokes flow, J. Mec. Théor. Appl, vol.1, issue.2, pp.143-160, 1983. ,
The incompressible Navier???Stokes limit of the Boltzmann equation for hard cutoff potentials, Journal de Math??matiques Pures et Appliqu??es, vol.91, issue.5, pp.508-552, 2009. ,
DOI : 10.1016/j.matpur.2009.01.013
URL : https://hal.archives-ouvertes.fr/hal-00308717
A relaxation tool to compute hybrid Euler-Lagrange compressible models, 2006. ,
A Finite Volume scheme for hybrid turbulent twophase flow models. AIAA paper, pp.2007-4587 ,
Numerical techniques for solving hybrid Eulerian Lagrangian models for particulate flows, 2009. ,
Computer simulation using particles, 1988. ,
Numerical solution of stochastic differential equations, 1992. ,
Comparison of turbulent particle dispersion models in turbulent shear flows, Brazilian Journal of Chemical Engineering, vol.24, issue.3, pp.351-363, 2007. ,
DOI : 10.1590/S0104-66322007000300005
Lecture Series in Differential Equations 7. Catholic University, p.41, 1967. ,
The pdf approach to turbulent polydispersed two-phase flows, Physics Reports, vol.352, issue.1-3, pp.1-214, 2001. ,
DOI : 10.1016/S0370-1573(01)00011-4
Weak first- and second-order numerical schemes for stochastic differential equations appearing in Lagrangian two-phase flow modeling, Monte Carlo Methods and Applications, vol.9, issue.2, pp.93-133, 2003. ,
DOI : 10.1515/156939603322663312
Wall-boundary conditions in probability density function methods and application to a turbulent channel flow, Physics of Fluids, vol.11, issue.9, pp.2632-2644, 1999. ,
DOI : 10.1063/1.870125
Derivation of a PDF model for turbulent flows based on principles from statistical physics, Physics of Fluids, vol.9, issue.6, pp.1748-1753, 1997. ,
DOI : 10.1063/1.869291
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows, Journal of Computational Physics, vol.154, issue.2, pp.342-371, 1999. ,
DOI : 10.1006/jcph.1999.6316
Stochastic differential equations. An introduction with applications, 1995. ,
Stochastic processes in polymeric fluids. Tools and examples for developing simulation algorithms, 1996. ,
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows, Progress in Energy and Combustion Science, vol.32, issue.3, pp.315-371, 2006. ,
DOI : 10.1016/j.pecs.2005.07.002
Turbulent flows, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00338511
PDF methods for turbulent reactive flows, Progress in Energy and Combustion Science, vol.11, issue.2, pp.119-92, 1985. ,
DOI : 10.1016/0360-1285(85)90002-4
Application of the velocity???dissipation probability density function model to inhomogeneous turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.8, p.1947, 1991. ,
DOI : 10.1063/1.857925
Particle Method for Turbulent Flows: Integration of Stochastic Model Equations, Journal of Computational Physics, vol.117, issue.2, pp.332-381, 1995. ,
DOI : 10.1006/jcph.1995.1070
The velocity???dissipation probability density function model for turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.2, issue.8, p.1437, 1990. ,
DOI : 10.1063/1.857592
On the relationship between stochastic Lagrangian models of turbulence and second???moment closures, Physics of Fluids, vol.6, issue.2, pp.973-985, 1994. ,
DOI : 10.1063/1.868329
Lagrangian PDF Methods for Turbulent Flows, Annual Review of Fluid Mechanics, vol.26, issue.1, pp.23-63, 1994. ,
DOI : 10.1146/annurev.fl.26.010194.000323
Mean Field Equations in PDF Particle Methods for Turbulent Reactive Flows, 1997. ,
On the Lagrangian turbulent dispersion models based on the Langevin equation, International Journal of Multiphase Flow, vol.24, issue.6, pp.913-945, 1998. ,
DOI : 10.1016/S0301-9322(98)00016-0
On a kinetic equation for the transport of particles in turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.3, pp.446-456, 1991. ,
DOI : 10.1063/1.858101
Prediction of the dispersed phase turbulence in particle-laden jets. In: Gas-Solid Flows, ASME FED, vol.121, pp.197-206, 1991. ,
Eulerian prediction of the fluid/particle correlated motion in turbulent two-phase flows, Applied Scientific Research, vol.226, issue.1-2, pp.275-83, 1993. ,
DOI : 10.1007/BF01082549
Combustion and turbulence in two-phase flows. Von Karman Institute for Fluid Dynamics, Lecture Series, 1996. ,
Some open questions and inconsistencies of Lagrangian particle dispersion models, Proceedings of the Ninth Symposium on Turbulent Shear Flows, 1993. ,
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model, ESAIM: M2AN, pp.1063-1097, 2009. ,
DOI : 10.1051/m2an/2009038
Contribution à l'analyse de l'interaction onde de choc -couche limite, 2006. ,
An approximate solution of the Riemann problem for a realisable second-moment turbulent closure, Shock Waves, vol.11, issue.4, pp.245-269, 2002. ,
DOI : 10.1007/s001930100109
URL : https://hal.archives-ouvertes.fr/hal-01484338
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for source, Frontiers in Mathematics Series, 2004. ,
A REDUCED STABILITY CONDITION FOR NONLINEAR RELAXATION TO CONSERVATION LAWS, Journal of Hyperbolic Differential Equations, vol.01, issue.01, pp.149-170, 2004. ,
DOI : 10.1142/S0219891604000020
An Approximate Roe-Type Riemann Solver for a Class of Realizable Second Order Closures, International Journal of Computational Fluid Dynamics, vol.8, issue.3, pp.223-249, 1999. ,
DOI : 10.1016/0021-9991(78)90023-2
Un sch??ma simple pour les ??quations de Saint-Venant, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.326, issue.3, pp.385-390, 1998. ,
DOI : 10.1016/S0764-4442(97)83000-5
A sequel to a rough Godunov scheme: application to real gases, Computers and Fluids, t. 29, pp.813-847, 2000. ,
DOI : 10.1016/S0045-7930(99)00026-2
Relaxation approximation of the Euler equations, Journal of Mathematical Analysis and Applications, vol.348, issue.2, pp.872-893, 2008. ,
DOI : 10.1016/j.jmaa.2008.07.034
A novel Hybrid Moments/Moments-PDF method for turbulent two-phase flows, 2006. ,
Simulation numérique d'écoulements gaz-particules sur maillage non structuré, 1997. ,
Some New Godunov and Relaxation Methods for Two-Phase Flow Problems, Proceedings of the International Conference on Godunov methods : theory and applications, Kluwer Academic, 2001. ,
DOI : 10.1007/978-1-4615-0663-8_18
RELAXATION OF FLUID SYSTEMS, Mathematical Models and Methods in Applied Sciences, 2011. ,
DOI : 10.1142/S0218202512500145
URL : https://hal.archives-ouvertes.fr/hal-00776822
On the Partial Difference Equations of Mathematical Physics, IBM Journal of Research and Development, vol.11, issue.2, pp.215-234, 1967. ,
DOI : 10.1147/rd.112.0215
Numerical schemes for the hybrid modelling of turbulent gas-particle flows, Université Aix-Marseille, vol.1 ,
A two-dimensional relaxation scheme for hybrid modelling of gas-particle two-phase flows, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01114210
Development of a new scheme for hybrid modelling of gas-particle two-phase flows, pp.1-50, 2010. ,
A two-dimensional relaxation scheme for the hybrid modelling of two-phase flows International Conference Finite Volumes for Complex Applications 6, Prague, 6-10 juin 2011. Published in proceedings " Finite Volumes for Complex Applications. Problems and Perspectives, pp.351-359, 2011. ,
Finite Volume Methods, Handbook of Numerical Analysis, vol.VII, pp.713-1020, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00346077
On the use of symmetrizing variables to deal with vacuum, 15th AIAA Computational Fluid Dynamics Conference, pp.163-194, 2003. ,
DOI : 10.2514/6.2001-2670
GEOMETRIC EVOLUTION OF THE REYNOLDS STRESS TENSOR IN THREE-DIMENSIONAL TURBULENCE, Waves and Stability in Continuous Media, 2010. ,
DOI : 10.1142/9789814317429_0027
Numerical approximation of hyperbolic systems of conservation laws, AMS, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
A difference method for numerical calculation of discontinuous equations of hydrodynamics, Sbornik, pp.271-300, 1959. ,
A simple parameter-free entropy correction for approximate Riemann solvers, Comptes Rendus M??canique, vol.338, issue.9, pp.493-498, 2010. ,
DOI : 10.1016/j.crme.2010.07.007
URL : https://hal.archives-ouvertes.fr/hal-00466999
A relaxation tool to compute hybrid Euler-Lagrange compressible models, 36th AIAA FD Conference, 2006. ,
A Finite Volume Scheme For Hybrid Turbulent Two-Phase Flow Models, 18th AIAA Computational Fluid Dynamics Conference, 2007. ,
DOI : 10.2514/6.2007-4587
Numerical techniques for solving hybrid Eulerian-Lagrangian models for particulate flows, pp.1-50, 2009. ,
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
Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math, vol.10, pp.537-566, 1957. ,
DOI : 10.1090/cln/014/10
Numerical methods for conservation laws, Lectures in Mathematics, 1990. ,
The pdf approach to turbulent polydispersed two-phase flows, Physics Reports, vol.352, issue.1-3, pp.1-214, 2001. ,
DOI : 10.1016/S0370-1573(01)00011-4
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows, Journal of Computational Physics, vol.154, issue.2, pp.342-371, 1999. ,
DOI : 10.1006/jcph.1999.6316
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows, Progress in Energy and Combustion Science, pp.315-371, 2006. ,
DOI : 10.1016/j.pecs.2005.07.002
Relaxation and numerical approximation for fluid flows in a nozzle", submitted to publication, also in EDF report, 1469. ,
On the thermodynamics of rate-type fluids and phase transitions. I. Rate-type fluids, International Journal of Engineering Science, vol.36, issue.9, pp.921-947, 1998. ,
DOI : 10.1016/S0020-7225(98)00005-6
Linear and nonlinear waves, 1974. ,
Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms, Journal of Differential Equations, vol.155, issue.1, pp.89-132, 1999. ,
DOI : 10.1006/jdeq.1998.3584
Contribution à l'analyse de l'interaction onde de choc -couche limite, 2006. ,
An approximate solution of the Riemann problem for a realisable second-moment turbulent closure, Shock Waves, vol.11, issue.4, pp.245-269, 2002. ,
DOI : 10.1007/s001930100109
URL : https://hal.archives-ouvertes.fr/hal-01484338
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for source, Frontiers in Mathematics Series, 2004. ,
An Approximate Roe-Type Riemann Solver for a Class of Realizable Second Order Closures, International Journal of Computational Fluid Dynamics, vol.8, issue.3, pp.223-249, 1999. ,
DOI : 10.1016/0021-9991(78)90023-2
Well-Balanced Time Implicit Formulation of Relaxation Schemes for the Euler Equations, SIAM Journal on Scientific Computing, vol.30, issue.1, pp.394-415, 2007. ,
DOI : 10.1137/070683040
Relaxation approximation of the Euler equations, Journal of Mathematical Analysis and Applications, vol.348, issue.2, pp.872-893, 2008. ,
DOI : 10.1016/j.jmaa.2008.07.034
A novel Hybrid Moments/Moments-PDF method for turbulent two-phase flows, 2006. ,
RELAXATION OF FLUID SYSTEMS, Mathematical Models and Methods in Applied Sciences, vol.22, issue.08, 1142. ,
DOI : 10.1142/S0218202512500145
URL : https://hal.archives-ouvertes.fr/hal-00776822
A relaxation scheme for hybrid modelling of gas-particle flows, Accepted for publication in Computers and Fluids, 2012. ,
DOI : 10.1016/j.compfluid.2012.09.015
URL : https://hal.archives-ouvertes.fr/hal-01265317
Development of a new scheme for hybrid modelling of gas-particle two-phase flows, 2010. ,
Finite Volume Methods, Handbook of Numerical Analysis, vol.VII, pp.713-1020, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00346077
GEOMETRIC EVOLUTION OF THE REYNOLDS STRESS TENSOR IN THREE-DIMENSIONAL TURBULENCE, Waves and Stability in Continuous Media, 2010. ,
DOI : 10.1142/9789814317429_0027
Basic analysis of some second-moment closures. Part II: incompressible turbulent flows including buoyant effects, 1993. ,
Realizable non-degenerate second-moment closures for incompressible turbulent flows, CRAS Paris IIb, vol.322, pp.371-377, 1996. ,
A relaxation tool to compute hybrid Euler-Lagrange compressible models, 36th AIAA FD Conference, 2006. ,
Numerical techniques for solving hybrid Eulerian-Lagrangian models for particulate flows, pp.1-50, 2009. ,
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
Entropy weak solutions to non-linear hyperbolic systems in nonconservative form, Comm. in Part. Diff. Eq, vol.13, issue.6, pp.669-727, 1988. ,
Computational modelling of turbulent flows, Advances in Applied Mechanics, pp.123-176, 1978. ,
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows, Journal of Computational Physics, vol.154, issue.2, pp.342-371, 1999. ,
DOI : 10.1006/jcph.1999.6316
PDF methods for turbulent reactive flows, Progress in Energy and Combustion Science, vol.11, issue.2, pp.119-192, 1985. ,
DOI : 10.1016/0360-1285(85)90002-4
On the relationship between stochastic Lagrangian models of turbulence and second???moment closures, Physics of Fluids, vol.6, issue.2, pp.973-985, 1984. ,
DOI : 10.1063/1.868329
Realizability of Reynolds-stress turbulence models, Physics of Fluids, vol.20, issue.5, p.721, 1977. ,
DOI : 10.1063/1.861942
On the thermodynamics of rate-type fluids and phase transitions. I. Rate-type fluids, International Journal of Engineering Science, vol.36, issue.9, pp.921-947, 1998. ,
DOI : 10.1016/S0020-7225(98)00005-6
Code_Saturne: a Finite Volume Code for the Computation of Turbulent Incompressible Flows â Industrial Applications, International Journal on Finite Volumes, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-01115371
A sequel to a rough Godunov scheme: application to real gases, Computers & Fluids, vol.29, issue.7, pp.813-847, 2000. ,
DOI : 10.1016/S0045-7930(99)00026-2
A Monte-Carlo PDF/Finite-Volume study of turbulent flames, 1996. ,
A novel Hybrid Moments/Moments-PDF method for turbulent two-phase flows, p.509849, 2006. ,
A note on the consistency of hybrid Eulerian/Lagrangian approach to multiphase flows, International Journal of Multiphase Flow, vol.37, issue.3, pp.293-297, 2011. ,
DOI : 10.1016/j.ijmultiphaseflow.2010.10.010
Bubbles, Drops and Particles, 1978. ,
The moment-guided Monte Carlo method, International Journal for Numerical Methods in Fluids, vol.5, issue.1, pp.189-213, 2011. ,
DOI : 10.1002/fld.2345
URL : https://hal.archives-ouvertes.fr/hal-00408891
Precipitation of particles from a turbulent flow, Mekkanika Zhidkosti i Gaza, vol.5, pp.96-104, 1988. ,
Development of a new scheme for hybrid modelling of gas-particle two-phase flows, pp.1-50, 2010. ,
A relaxation scheme for hybrid modelling of gas-particle flows, Computers & Fluids, vol.70, 2012. ,
DOI : 10.1016/j.compfluid.2012.09.015
URL : https://hal.archives-ouvertes.fr/hal-01265317
A two-dimensional relaxation scheme for the hybrid modelling of two phase flows. International Conference Finite Volumes for Complex Applications 6, Prague, 6-10 juin 2011 Finite Volumes for Complex Applications. Problems and Perspectives, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01114210
Wall-function treatment in pdf methods for turbulent flows, Physics of Fluids, vol.9, issue.9, p.2692, 1997. ,
DOI : 10.1063/1.869381
Probability density function/Monte Carlo simulation of near-wall turbulent flows, Journal of Fluid Mechanics, vol.357, p.141, 1998. ,
DOI : 10.1017/S0022112097008008
Analysis of multiscale methods for stochastic differential equations, Communications on Pure and Applied Mathematics, 2003. ,
A hybrid scheme to compute contact discontinuities in one-dimensional Euler systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.36, issue.6, pp.1133-1159, 2002. ,
DOI : 10.1051/m2an:2003009
Introduction to Stochastic Differential Equations. Marcel Dekker, Monographs and Textbooks in Pure and Applied Mathematics, p.114, 1988. ,
Handbook of stochastic methods for physics, chemistry and natural sciences, 1990. ,
The Faxén formulae for a rigid particle in an unsteady non-uniform Stokes flow, J. Mec. Théor. Appl, vol.1, issue.2, pp.143-160, 1983. ,
A relaxation tool to compute hybrid Euler-Lagrange compressible models, 2006. ,
A Finite Volume scheme for hybrid turbulent twophase flow models. AIAA paper, pp.2007-4587 ,
Numerical techniques for solving hybrid Eulerian Lagrangian models for particulate flows, 2009. ,
Computer simulation using particles, 1988. ,
Numerical solution of stochastic differential equations, 1992. ,
Lecture Series in Differential Equations 7. Catholic University, p.41, 1967. ,
The pdf approach to turbulent polydispersed two-phase flows, Physics Reports, vol.352, issue.1-3, pp.1-214, 2001. ,
DOI : 10.1016/S0370-1573(01)00011-4
Weak first- and second-order numerical schemes for stochastic differential equations appearing in Lagrangian two-phase flow modeling, Monte Carlo Methods and Applications, vol.9, issue.2, pp.93-133, 2003. ,
DOI : 10.1515/156939603322663312
Wall-boundary conditions in probability density function methods and application to a turbulent channel flow, Physics of Fluids, vol.11, issue.9, pp.2632-2644, 1999. ,
DOI : 10.1063/1.870125
Derivation of a PDF model for turbulent flows based on principles from statistical physics, Physics of Fluids, vol.9, issue.6, pp.1748-1753, 1997. ,
DOI : 10.1063/1.869291
A Consistent Hybrid Finite-Volume/Particle Method for the PDF Equations of Turbulent Reactive Flows, Journal of Computational Physics, vol.154, issue.2, pp.342-371, 1999. ,
DOI : 10.1006/jcph.1999.6316
Stochastic differential equations. An introduction with applications, 1995. ,
Stochastic processes in polymeric fluids. Tools and examples for developing simulation algorithms, 1996. ,
Mean-field/PDF numerical approach for polydispersed turbulent two-phase flows, Progress in Energy and Combustion Science, vol.32, issue.3, pp.315-371, 2006. ,
DOI : 10.1016/j.pecs.2005.07.002
Turbulent flows, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00338511
PDF methods for turbulent reactive flows, Progress in Energy and Combustion Science, vol.11, issue.2, pp.119-92, 1985. ,
DOI : 10.1016/0360-1285(85)90002-4
Application of the velocity???dissipation probability density function model to inhomogeneous turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.8, p.1947, 1991. ,
DOI : 10.1063/1.857925
Particle Method for Turbulent Flows: Integration of Stochastic Model Equations, Journal of Computational Physics, vol.117, issue.2, pp.332-381, 1995. ,
DOI : 10.1006/jcph.1995.1070
The velocity???dissipation probability density function model for turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.2, issue.8, p.1437, 1990. ,
DOI : 10.1063/1.857592
On the relationship between stochastic Lagrangian models of turbulence and second???moment closures, Physics of Fluids, vol.6, issue.2, pp.973-985, 1994. ,
DOI : 10.1063/1.868329
Lagrangian PDF Methods for Turbulent Flows, Annual Review of Fluid Mechanics, vol.26, issue.1, pp.23-63, 1994. ,
DOI : 10.1146/annurev.fl.26.010194.000323
Mean Field Equations in PDF Particle Methods for Turbulent Reactive Flows, 1997. ,
On the Lagrangian turbulent dispersion models based on the Langevin equation, International Journal of Multiphase Flow, vol.24, issue.6, pp.913-945, 1998. ,
DOI : 10.1016/S0301-9322(98)00016-0
On a kinetic equation for the transport of particles in turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.3, pp.446-456, 1991. ,
DOI : 10.1063/1.858101
Prediction of the dispersed phase turbulence in particle-laden jets. In: Gas-Solid Flows, ASME FED, vol.121, pp.197-206, 1991. ,
Eulerian prediction of the fluid/particle correlated motion in turbulent two-phase flows, Applied Scientific Research, vol.226, issue.1-2, pp.275-83, 1993. ,
DOI : 10.1007/BF01082549
Combustion and turbulence in two-phase flows. Von Karman Institute for Fluid Dynamics, Lecture Series, 1996. ,
Some open questions and inconsistencies of Lagrangian particle dispersion models, Proceedings of the Ninth Symposium on Turbulent Shear Flows, 1993. ,
Modeling and calculation of turbulent gas-solid flows with the Euler/Lagrange approach, KONA (Powder and Particles), pp.194-206, 1999. ,
Simulation of stochastic differential equations, in probabilistic methods in applied physics, 1995. ,
Source of Bias in Particle-Mesh Methods for PDF Models for Turbulent Flows, 1997. ,
Assessment of Numerical Accuracy of PDF/Monte Carlo Methods for Turbulent Reacting Flows, Journal of Computational Physics, vol.152, issue.1, pp.152-192, 1999. ,
DOI : 10.1006/jcph.1999.6241