Droplet vaporisation model for spray combustion calculations, International Journal of Heat and Mass Transfer, vol.9, pp.1605-1618, 1989. ,
KIVA II, a computer program for chemically reactive flows with sprays, 1989. ,
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
Turbulent Dispersed Multiphase Flow, Annual Review of Fluid Mechanics, vol.42, issue.1, pp.111-133, 2010. ,
DOI : 10.1146/annurev.fluid.010908.165243
Etude expérimentale et numérique des régimes de combustion dans le contexte Dual-Fuel. PhD, 2015. ,
Numerical and Experimental Investigation of Combustion Regimes in a Dual Fuel Engine, SAE Technical Paper Series, pp.2013-2037 ,
DOI : 10.4271/2013-24-0015
URL : https://hal.archives-ouvertes.fr/hal-00920703
Combustion stationnaire et instationnaire de mélanges diphasiques, 2001. ,
Molecular gas dynamics and the direct simulation of gas flows, 1994. ,
IFP-C3D: An unstructured parallel solver for reactive compressible gas flow with spray. Oil and Gas Science and Technology, pp.309-355, 2009. ,
Simulation aux grandes échelles de l'allumage diphasique des foyers aéronautiques, 2007. ,
Numerical Approximations of Pressureless and Isothermal Gas Dynamics, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.135-158, 2003. ,
DOI : 10.1137/S0036142901398040
Flame Stretch and the Balance Equation for the Flame Area, Combustion Science and Technology, vol.44, issue.1-3, pp.1-15, 1990. ,
DOI : 10.1016/0010-2180(78)90130-X
An Euler???Lagrange strategy for simulating particle-laden flows, Journal of Computational Physics, vol.238, pp.1-31, 2013. ,
DOI : 10.1016/j.jcp.2012.12.015
A multi-Gaussian quadrature-based moment method for dispersed multiphase flows, 2014. ,
A multi-Gaussian quadrature method of moments for gas-particle flows in a LES framework, Proceedings of the Summer Program 2010, pp.347-358, 2010. ,
Beyond pressureless gas dynamics: quadrature-based velocity moment models, Communications in Mathematical Sciences, vol.10, issue.4, pp.1241-1272, 2012. ,
DOI : 10.4310/CMS.2012.v10.n4.a11
URL : https://hal.archives-ouvertes.fr/hal-00535782
The Mathematical Theory of Non-Uniform Gases, American Journal of Physics, vol.30, issue.5, 1970. ,
DOI : 10.1119/1.1942035
A 3D unsplit forward/backward volume-of-fluid approach and coupling to the level set method, Journal of Computational Physics, vol.233, issue.0, pp.10-33, 2013. ,
A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows, Journal of Computational Physics, vol.249, issue.0, pp.185-203, 2013. ,
Eulerian models and numerical simulation of turbulent dispersion for polydisperse evaporation sprays, 2009. ,
A NEW MODEL FOR TURBULENT FLOWS WITH LARGE DENSITY FLUCTUATIONS: APPLICATION TO LIQUID ATOMIZATION, Atomization and Sprays, vol.17, issue.4, pp.315-345, 2007. ,
DOI : 10.1615/AtomizSpr.v17.i4.20
URL : https://hal.archives-ouvertes.fr/hal-00245354
Modeling of liquid atomization as a turbulent flow with high density fluctuations, Atomization and Sprays, vol.17, pp.298-313, 2007. ,
The theory of canonical moments with applications in statistics, probability, and analysis. Wiley Series in Probability and Statistics: Applied Probability and Statistics, 1997. ,
Eulerian modeling and simulation of polydisperse moderately dense coalescing spray flows with nanometric-to-inertial droplets: Application to Solid Rocket Motors, 2013. ,
URL : https://hal.archives-ouvertes.fr/tel-01009896
Optimal Eulerian model for the simulation of dynamics and coalescence of alumina particles in solid propellant combustion, Proceedings of the 7th International Conference on Multiphase Flows, ICMF 2010, pp.1-15, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00498215
Eulerian multi-fluid models for the simulation of dynamics and coalescence of particles in solid propellant combustion, Journal of Computational Physics, vol.234, pp.230-262, 2013. ,
DOI : 10.1016/j.jcp.2012.09.025
URL : https://hal.archives-ouvertes.fr/hal-00618806
Numerical Strategy for Unsteady Two-Way Coupled Polydisperse Sprays: Application to Solid-Rocket Instabilities, Journal of Propulsion and Power, vol.30, issue.3, pp.727-748, 2014. ,
DOI : 10.2514/1.B34862
Eulerian modeling and simulation of small scale trajectory crossing and coalescence for moderate-stokes-number spray flows, Volume du «Summer Program 2012», publication du Center for Turbulence Research, pp.365-374, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00773325
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
Modélisation multi-fluide eulérienne pour les écoulements diphasiques à inclusions dispersées, 2005. ,
A particle-fluid numerical model for liquid sprays, Journal of Computational Physics, vol.35, issue.2, pp.229-253, 1980. ,
DOI : 10.1016/0021-9991(80)90087-X
On the experimental investigation on primary atomization of liquid streams, Experiments in Fluids, vol.2001, issue.3, pp.371-422, 2008. ,
DOI : 10.1007/s00348-008-0526-0
Modeling of spray polydispersion with two-way turbulent interactions for high pressure direct injection in engines, 2014. ,
URL : https://hal.archives-ouvertes.fr/tel-01089937
Eulerian modeling of a polydisperse evaporating spray under realistic internal-combustion-engine conditions. Flow, Turbulence and Combustion, pp.689-722, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00942115
Two-way coupling modeling through eulerian moment method for spray injection in engine simulations, European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2012), 2012. ,
Numerical analysis of a two-way coupled Eulerian high order moment mthod for the simulation of polydisperse evaporating sprays, 2014. ,
Gas???droplet turbulent velocity correlations and two-phase interaction in an axisymmetric jet laden with partly responsive droplets, International Journal of Multiphase Flow, vol.29, issue.2, pp.195-217, 2003. ,
DOI : 10.1016/S0301-9322(02)00151-9
URL : https://hal.archives-ouvertes.fr/hal-00146761
Partitioning of particle velocities in gas???solid turbulent flows into a continuous field and a spatially uncorrelated random distribution: theoretical formalism and numerical study, Journal of Fluid Mechanics, vol.533, pp.1-46, 2005. ,
DOI : 10.1017/S0022112005004088
Introduction and fundamentals of modeling approaches for polydisperse multiphase flows In Multiphase reacting flows: modelling and simulation, Marchisio and R. O. Fox, pp.1-40, 2006. ,
A quadrature-based third-order moment method for dilute gas-particle flows, Journal of Computational Physics, vol.227, issue.12, pp.6313-6350, 2008. ,
DOI : 10.1016/j.jcp.2008.03.014
Numerical simulation of spray coalescence in an Eulerian framework: Direct quadrature method of moments and multi-fluid method, Journal of Computational Physics, vol.227, issue.6, pp.3058-3088, 2008. ,
DOI : 10.1016/j.jcp.2007.10.028
URL : https://hal.archives-ouvertes.fr/hal-00157269
On multiphase turbulence models for collisional fluid???particle flows, Journal of Fluid Mechanics, vol.10, issue.3, pp.368-424 ,
DOI : 10.1103/PhysRevE.64.061301
Runge???Kutta discontinuous Galerkin method for interface flows with a maximum preserving limiter, Computers & Fluids, vol.65, pp.2-7, 2012. ,
DOI : 10.1016/j.compfluid.2012.02.021
URL : https://hal.archives-ouvertes.fr/hal-00739446
Runge???Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models, Journal of Computational Physics, vol.231, issue.11, pp.4096-4141, 2012. ,
DOI : 10.1016/j.jcp.2012.02.002
URL : https://hal.archives-ouvertes.fr/hal-00684427
Eulerian moment models for polydisperse weakly collisional sprays : model and validation, Proceedings of the Summer Program, pp.277-288, 2008. ,
Développement et validation du formalisme Euler-Lagrange dans un solveur parallèle nonstructuré pour la simulation aux grandes échelles, 2009. ,
On the origins of spray sectional conservation equations, Combustion and Flame, vol.93, issue.1-2, pp.90-96, 1993. ,
DOI : 10.1016/0010-2180(93)90085-H
Modélisation Tridimensionnelle de l'injection et de la préparation du mélange gaz/carburant dans les moteurs à combustion interne, 2006. ,
Solving Ordinary Differential Equations II, 1996. ,
A Eulerian level set/vortex sheet method for two-phase interface dynamics, Journal of Computational Physics, vol.203, issue.2, pp.539-571, 2005. ,
DOI : 10.1016/j.jcp.2004.08.023
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids, Journal of Computational Physics, vol.227, issue.4, pp.2674-2706, 2008. ,
DOI : 10.1016/j.jcp.2007.11.002
Internal Combustion Engine Fundamentals. McGraw-Hill series in mechanical engineering, 1988. ,
An arbitrary Lagrangian-Eulerian computing method for all flow speeds, Journal of Computational Physics, vol.14, issue.3, pp.227-253, 1974. ,
DOI : 10.1016/0021-9991(74)90051-5
Thermo-Fluid dynamic theory of two-phase flow. Eyrolles, 1975. ,
Combined surface density concepts for dense spray combustion, Combustion and Flame, vol.144, issue.3, pp.558-577, 2006. ,
DOI : 10.1016/j.combustflame.2005.07.017
URL : https://hal.archives-ouvertes.fr/hal-00133285
Prise en compte des aspects polydispersés pour la modélisation d'un jet de carburant dans les moteurs à combustion interne, 2010. ,
High order moment method for polydisperse evaporating sprays with mesh movement: Application to internal combustion engines, International Journal of Multiphase Flow, vol.71, 2015. ,
DOI : 10.1016/j.ijmultiphaseflow.2014.12.004
URL : https://hal.archives-ouvertes.fr/hal-01149035
Modeling of polydisperse sprays using a high order size moment method for the numerical simulation of advection and evaporation, Proceedings of the 11th ICLASS, International Conference on Liquid Atomization and Spray Systems Vail, 2009. ,
A high order moment method simulating evaporation and advection of a polydisperse liquid spray, Journal of Computational Physics, vol.231, issue.2, pp.394-422, 2012. ,
DOI : 10.1016/j.jcp.2011.08.032
URL : https://hal.archives-ouvertes.fr/hal-00536512
Schémas numériques et conditions limites pour la simulation aux grandes échelles de la combustion diphasique dans les foyers d'hélicoptère, 2007. ,
Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.3, pp.431-468, 2006. ,
DOI : 10.1051/m2an:2006023
URL : https://hal.archives-ouvertes.fr/hal-00116318
Multi-fluid modelling of laminar polydisperse spray flames: origin, assumptions and comparison of sectional and sampling methods, Combustion Theory and Modelling, vol.123, issue.4, pp.537-572, 2001. ,
DOI : 10.1088/1364-7830/5/4/303
Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays, Journal of Computational Physics, vol.194, issue.2, pp.505-543, 2004. ,
DOI : 10.1016/j.jcp.2003.08.026
URL : https://hal.archives-ouvertes.fr/hal-00187619
Two-size moment eulerian multi-fluid model for polydisperse sprays: a flexible and efficient computational approach, in preparation, 2014. ,
A hierarchy of Eulerian models for trajectory crossing in particle-laden turbulent flows over a wide range of Stokes numbers, Annual Research Brief of the Center for Turbulence Research, pp.193-204, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00773331
Contribution à la simulation numérique directe de l'ébullition, 2013. ,
Numerical coupling strategies for the 'separated-to-dispersed' transition within the liquid phase of cryogenic rocket engines, 5 th european conference for aeronautics and space sciences, 2013. ,
Numerical simulation of primary break-up and atomization: DNS and modelling study, International Journal of Multiphase Flow, vol.35, issue.3, pp.247-260, 2009. ,
DOI : 10.1016/j.ijmultiphaseflow.2008.11.005
URL : https://hal.archives-ouvertes.fr/hal-00649748
Numerical methods for conservation laws, 1992. ,
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
Kinetic Theory: Classical, Quantum, and Relativistic Descriptions of Prentice-Hall Advanced Reference Series, 1998. ,
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
Atomization modelling of liquid jets using an Eulerian-Eulerian model and a surface density approach, 2013. ,
The coherent flame model for turbulent chemical reactions, 1977. ,
Solution of population balance equations using the direct quadrature method of moments, Journal of Aerosol Science, vol.36, issue.1, pp.43-73, 2005. ,
DOI : 10.1016/j.jaerosci.2004.07.009
Evaluation of Different Tabulation Techniques Dedicated to the Prediction of the Combustion and Pollutants Emissions on a Diesel Engine with 3D CFD, SAE Technical Paper Series, pp.2013-2014 ,
DOI : 10.4271/2013-01-1093
Large Eddy Simulation of Fuel sprays using the Eulerian Mesoscopic Approach. Validations in realistic engine conditions, ICLASS, 2009. ,
An algebraic-closure-based moment method for unsteady eulerian modeling of non-isothermal particle-laden turbulent flows in very dilute regime and high stokes number, 7th Int. Symposium on Turbulence, Heat and Mass Transfer, 2012. ,
Development of an algebraic-closure-based moment method for unsteady Eulerian simulations of particle-laden turbulent flows in very dilute regime, International Journal of Multiphase Flow, vol.58, issue.0, pp.58257-278, 2014. ,
DOI : 10.1016/j.ijmultiphaseflow.2013.10.001
URL : https://hal.archives-ouvertes.fr/hal-01010316
Lagrangian/Eulerian analysis of the dispersion of evaporating droplets in a non-homogeneous turbulent flow, Proceedings of ICMF'04, 2004. ,
Eulerian multi-fluid models: modeling and numerical methods In Modelling and Computation of Nanoparticles in Fluid Flows, Lectures of the von Karman Institue, NATO RTO AVT, vol.169, pp.1-86, 2009. ,
A Robust Moment Method for Evaluation of the Disappearance Rate of Evaporating Sprays, SIAM Journal on Applied Mathematics, vol.70, issue.8, pp.3203-3234, 2010. ,
DOI : 10.1137/080740027
URL : https://hal.archives-ouvertes.fr/hal-00332423
Description of Aerosol Dynamics by the Quadrature Method of Moments, Aerosol Science and Technology, vol.4, issue.2, pp.255-265, 1997. ,
DOI : 10.1016/0021-9797(88)90180-4
Numerical advection of correlated tracers: preserving particle size/composition moment sequences during transport of aerosol mixtures, Journal of Physics: Conference Series, vol.78, pp.1-5, 2007. ,
DOI : 10.1088/1742-6596/78/1/012045
Maximum entropy in the problem of moments, Journal of Mathematical Physics, vol.25, issue.8, pp.2404-2417, 1984. ,
DOI : 10.1063/1.526446
Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet, International Journal of Multiphase Flow, vol.33, issue.5, pp.510-524, 2007. ,
DOI : 10.1016/j.ijmultiphaseflow.2006.11.001
URL : https://hal.archives-ouvertes.fr/hal-00649785
Modélisation et résolution de la propagation de fronts perméables. Application aux fronts d'évaporation et de détonation, 2003. ,
Direct numerical simulation of a confined three-dimensional gas mixing layer with one evaporating hydrocarbon-droplet-laden stream, Journal of Fluid Mechanics, vol.384, pp.293-338, 1999. ,
DOI : 10.1017/S0022112098004042
Extension polydisperse pour la description euler-euler des écoulements diphasiques réactifs - TH, 2005. ,
Numerical modeling of dispersed two-phase flows, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01181241
Collective drop effects on vaporizing liquid sprays, 1981. ,
Two-way coupled stochastic model for dispersion of inertial particles in turbulence, Journal of Fluid Mechanics, vol.6, pp.29-62, 2012. ,
DOI : 10.1016/S0065-2687(08)60102-8
Relationship Between Diesel Fuel Spray Vapor Penetration/Dispersion and Local Fuel Mixture Fraction, SAE International Journal of Engines, vol.4, issue.1, 2011. ,
DOI : 10.4271/2011-01-0686
Physique statistique hors d'équilibre -Processus irréversibles linéaires, EDP Sciences, 2007. ,
Direct Numerical Simulation of Sprays: Turbulent Dispersion, Evaporation and Combustion, Multiphase reacting flows: modelling and simulation Marchisio and R. O. Fox, pp.229-273, 2006. ,
DOI : 10.1007/978-3-211-72464-4_6
URL : https://hal.archives-ouvertes.fr/hal-00767598
DNS study of spray vaporization and turbulent micro-mixing, 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998. ,
DOI : 10.2514/6.1998-1028
Effects of the preferential segregation of droplets on evaporation and turbulent mixing, Journal of Fluid Mechanics, vol.583, pp.273-302, 2007. ,
DOI : 10.1017/S0022112007006180
URL : https://hal.archives-ouvertes.fr/hal-00474853
Evaluation of numerical strategies for LES of two-phase reacting flows, Proceedings of the Summer Program, 2006. ,
Diffusion experiments with numerically integrated isotropic turbulence, Physics of Fluids, vol.17, issue.2, pp.292-297, 1974. ,
DOI : 10.1063/1.1694714
Laws governing the fineness of powdered coal, J. Inst. Fuel, issue.7, pp.29-36, 1933. ,
Euler/Lagrange calculations of turbulent sprays: the effect of droplet collisions and coalescence. Atomization and Sprays, pp.47-81, 2000. ,
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
Modeling the dispersion and evaporation of sprays in aeronautical combustion chambers, 2012. ,
URL : https://hal.archives-ouvertes.fr/tel-00701105
Asymptotic Analysis of a Premixed Polydisperse Spray Flame, SIAM Journal on Applied Mathematics, vol.51, issue.5, pp.1284-1303, 1991. ,
DOI : 10.1137/0151064
An explicit algebraic Reynolds stress and heat flux model for incompressible turbulence: Part I Non-isothermal flow. Theoretical and Computational Fluid Dynamics, pp.5-6351, 2004. ,
Macroscopic transport equations for rarefied gas flows. Interaction of Mechanics and Mathematics Approximation methods in kinetic theory, 2005. ,
Statistical representation of a spray as a point process, Physics of Fluids, vol.12, issue.10, p.2413, 2000. ,
DOI : 10.1063/1.1288266
Statistical modeling of sprays using the droplet distribution function, Physics of Fluids, vol.13, issue.3, p.624, 2001. ,
DOI : 10.1063/1.1344893
Hausdorff moment problem and maximum entropy: A unified approach, Applied Mathematics and Computation, vol.105, issue.2-3, pp.291-305, 1999. ,
DOI : 10.1016/S0096-3003(98)10084-X
A sectional model for evaporation and combustion of sprays of liquid fuel, Isr. J. Technol, vol.18, pp.47-56, 1980. ,
Riemann solvers and numerical methods for fluid dynamics, 2009. ,
DOI : 10.1007/b79761
Développement et validation d'un modèle eulérien en vue de la simulation des jets de carburants dans les moteurs à combustion interne, 2005. ,
A front-tracking method for viscous, incompressible, multi-fluid flows, Journal of Computational Physics, vol.100, issue.1, pp.25-37, 1992. ,
DOI : 10.1016/0021-9991(92)90307-K
DEVELOPMENT OF A EULERIAN MODEL FOR THE ???ATOMIZATION??? OF A LIQUID JET, Atomization and Sprays, vol.11, issue.6, pp.619-642, 2001. ,
DOI : 10.1615/AtomizSpr.v11.i6.20
Contribution à l'étude des brouillards denses et dilués par la simulation numérique Euler, 2007. ,
Abstract, Communications in Computational Physics, vol.25, issue.01, pp.1-46, 2015. ,
DOI : 10.1137/S0036142901398040
On the direct numerical simulation of moderate-Stokesnumber turbulent particulate flows using Algebraic-Closure-Based and Kinetic-Based Moment Methods, Proceedings of the Summer Program 2012, pp.355-364, 2012. ,
A Review of Mathematical Topics in Collisional Kinetic Theory, 2002. ,
DOI : 10.1016/S1874-5792(02)80004-0
Simulation aux grandes échelles d'écoulements diphasiques turbulents à phase liquide dispersée, 2010. ,
Size-velocity correlations in hybrid high order moment/multi-fluid methods for polydisperse evaporating sprays: Modeling and numerical issues, Journal of Computational Physics, vol.237, pp.177-210, 2013. ,
DOI : 10.1016/j.jcp.2012.11.043
Spray Combustion and Atomization, Physics of Fluids, vol.1, issue.6, pp.541-545, 1958. ,
DOI : 10.1063/1.1724379
Combustion Theory (Combustion Science and Engineering Series), 1985. ,
Numerical advection of moments of the particle size distribution in Eulerian models, Journal of Aerosol Science, vol.38, issue.3, pp.352-369, 2007. ,
DOI : 10.1016/j.jaerosci.2006.11.011
Bivariate Extension of the Quadrature Method of Moments for Modeling Simultaneous Coagulation and Sintering of Particle Populations, Journal of Colloid and Interface Science, vol.236, issue.2, pp.242-251, 2001. ,
DOI : 10.1006/jcis.2000.7409
Conditional quadrature method of moments for kinetic equations, Journal of Computational Physics, vol.230, issue.22, pp.8216-8246, 2011. ,
DOI : 10.1016/j.jcp.2011.07.020
An extended quadrature method of moments for population balance equations, Journal of Aerosol Science, vol.51, pp.1-23, 2012. ,
DOI : 10.1016/j.jaerosci.2012.04.003
URL : https://hal.archives-ouvertes.fr/hal-00726736
An Eulerian approach for large eddy simulation of particle transport in turbulent flows, Journal of Turbulence, vol.4, issue.4, pp.1468-5248, 2009. ,
DOI : 10.1063/1.2212967
Discrete particle simulation of particulate systems: Theoretical developments, Chemical Engineering Science, vol.62, issue.13, pp.623378-3396, 2007. ,
DOI : 10.1016/j.ces.2006.12.089