Dossier: SimRace 2015: Numerical Methods and High Performance Computing for Industrial Fluid Flows
Open Access
Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles
Volume 71, Number 5, September–October 2016
Dossier: SimRace 2015: Numerical Methods and High Performance Computing for Industrial Fluid Flows
Article Number 61
Number of page(s) 25
Published online 20 September 2016
  • Hirt C.W., Amsden A.A., Cook J.L. (1974) An arbitrary lagrangian-eulerian computing method for all flow speeds, Journal of Computational Physics 14, 3, 227–253.
  • Harlow F., Welch J.E. (1965) Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Physics of Fluid 8, 12, 2182–2189. [NASA ADS] [CrossRef]
  • Le Chenadec V., Pitsch H. (2013) A 3D unsplit forward/backward volume-of-fluid approach and coupling to the level set method, Journal of Computational Physics 233, 10–33. [CrossRef]
  • Emre O. (2014) Modélisation de la polydispersion des brouillards de gouttes sous l’effet des interactions two-way turbulentes pour l’injection directe à haute pression dans les moteurs. PhD Thesis, École Centrale Paris, Available at
  • Lebas R., Menard T., Beau P.A., Berlemont A., De-moulin F.X. (2009) Numerical simulation of primary break-up and atomization: DNS and modelling study, Int. J. Multiphase Flows 35, 3, 247–260. [CrossRef]
  • Menard T., Tanguy S., Berlemont A. (2007) 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 33, 5, 510–524. [CrossRef]
  • Saurel R., Lemetayer O. (2001) A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation, Journal of Fluid Mechanics 431, 2, 239–271. [CrossRef]
  • Drew D.A., Passman S.L. (1999) Theory of multicomponent fluids, Appl. Math. Sci. 135. [CrossRef]
  • Baer M.R., Nunziato J.W. (1986) A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials, International Journal of Multiphase Flow 12, 6, 861–889. [CrossRef]
  • Drui F., Kokh S., Larat A., Massot M. (2016) A hierarchy of simple hyperbolic two-fluid models for bubbly flows, Submitted to Physics of Fluids, pp. 1–40.
  • Le Martelot S., Saurel R., Nkonga B. (2014) Towards the direct numerical simulation of nucleate boiling flows, International Journal of Multiphase Flow 66, 62–78. [CrossRef] [MathSciNet]
  • Le Touze C. (2015) Coupling between separated and dispersed two-phase flow models for the simulation of primary atomization in cryogenic combustion, Theses, Universite Nice Sophia Antipolis, December. URL
  • Drui F., Fikl A., Kestener P., Kokh S., Larat A., Le Chenadec V., Massot M. (2016) Experimenting with the p4est library for AMR simulations of two-phase flows. to appear in ESAIM: Proceedings and Surveys, pp. 1–16.
  • Saurel R., Abgrall R. (1999) A multiphase godunov method for compressible multifluid and multiphase flows, Journal of Computational Physics 150, 2, 425–467. [CrossRef] [MathSciNet]
  • Saurel R., Petitpas F., Berry R.A. (2009) Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures, Journal of Computational Physics 228, 1678–1712. [CrossRef]
  • Jay S., Lacas F., Candel S. (2006) Combined surface density concepts for dense spray combustion, Combustion and Flame 144, 3, 558–577. [CrossRef]
  • Vallet A., Burluka A., Borghi R. (2001) Development of a eulerian model for the “atomization” of a liquid jet, Atomization and Sprays 11, 619–642. [CrossRef]
  • Williams F.A. (1958) Spray combustion and atomization, Physics of Fluids 1, 541–545. [CrossRef]
  • Bird G.A. (1994) Molecular gas dynamics and the direct simulation of gas flows, Oxford Science Publications, 42.
  • Garcia M. (2009) Development and validation of the Euler- Lagrange formulation on a parallel and unstructured solver for large-eddy simulation, PhD Thesis, Université Toulouse III, Available online at
  • Kah D. (2010) Taking into account polydispersity in the framework of a coupled Euler-Lagrange approach for the modeling of liquid fuel injection in internal combustion engines, PhD Thesis, École Centrale de Paris, Available online at
  • Greenberg J.B., Silverman I., Tambour Y. (1993) On the origin of spray sectional conservation equations, Combustion and Flame 93, 90–96. [CrossRef]
  • Laurent F., Massot M. (2001) Multi-fluid modeling of laminar poly-dispersed spray flames: origin, assumptions and comparison of the sectional and sampling methods, Combust, Theory and Modelling 5, 537–572. [CrossRef]
  • Emre O., Kah D., Jay S., Tran Q.-H., Velghe A., De Chaisemartin S., Laurent F., Massot M. (2015) Eulerian Moment Methods for Automotive Sprays, Atomization and Sprays 25, 189–254. [CrossRef]
  • Kah D., Emre O., Tran Q.-H., de Chaisemartin S., Jay S., Laurent F., Massot M. (2015) High order moment method for polydisperse evaporating spray with mesh movement: application to internal combustion engines, International Journal of Multiphase Flows 71, 38–65. [CrossRef]
  • Nguyen T.T., Laurent F., Fox R.O., Massot M. Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes, Journal of Computational Physics, pp. 1–42. URL Submitted.
  • Kah D., Laurent F., Massot M., Jay S. (2012) A high order moment method simulating evaporation and advection of a polydisperse spray, J. Comput. Phys. 231, 2, 394–422. [CrossRef]
  • Laurent F. (2006) Numerical analysis of eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays, Mathematical Modeling and Numerical Analysis 3, 431–468. [CrossRef]
  • Laurent F., Sibra A., Doisneau F. (2016) Two-size moment Eulerian multi-fluid model: a flexible and realizable high-fidelity description of polydisperse moderately dense evaporating sprays, Communications in Computational Physics, pp. 1–42, URL Accepted.
  • Massot M., Laurent F., Kah D., de Chaisemartin S. (2010) A robust moment method for evaluation of the disappearance rate of evaporating sprays, SIAM J. Appl. Math. 70, 3203–3234. [CrossRef]
  • Vié A., Laurent F., Massot M. (2013) Size-velocity correlations in high order moment methods for polydisperse evaporating sprays: modeling and numerical issues, J. Comp. Phys. 237, 277–310.
  • Emre O., Fox R.O., Massot M., de Chaisemartin S., Jay S., Laurent F. (2014) Towards eulerian modeling of a polydisperse evaporating spray under realistic internal-combustion-engine conditions, Flow, Turbulence and Combustion 93, 689–722. [CrossRef]
  • Devassy M.B., Habchi C., Danoem E. (2015) Atomization modelling of liquid jets using a two-surface-density approach, Journal of Atomization and Sprays 25, 1, 47–80. [CrossRef]
  • Sibra A. (2015) Eulerian Multi-Fluid modeling and simulation of evaporation and combustion of polydisperse sprays in solid rocket motors, Theses, Université Paris-Saclay, November. URL
  • Essadki M., de Chaisemartin S., Laurent F., Larat A., Massot M. (2016) Topological moment model for polydisperse evaporating sprays, Submitted to SIAM Journal on Applied Mathematics.
  • Drew D.A. (1990) Evolution of geometric statistics, SIAM J. Appl. Math. 50, 3, 649–666. [CrossRef]
  • Burstedde C., Wilcox L.C., Ghattas O. (2011) p4est: Scalable algorithms for parallel adaptive mesh refinement on forests of octrees, SIAM Journal on Scientific Computing 33, 3, 1103–1133. [CrossRef] [MathSciNet]
  • Sabat M. (2016) Eulerian modeling and numerical methods for the description of turbulent polydisperse sprays, PhD Thesis, Université Paris-Saclay, CentraleSupélec.
  • Godsave G.A.E. (1953) Studies of the combustion of drops in a fuel spray: the burning of single drops of fuel, Proceedings of the 4th Symp. (International) on Combustion, The Comb. Institute, Baltimore, pp. 818–830.
  • de Chaisemartin S. (2009) Eulerian models and numerical simulation of turbulent dispersion for polydisperse evaporation sprays, PhD Thesis, École Centrale Paris, France, Available on TEL:
  • Vié A., Doisneau F., Massot M. (2015) On the Anisotropic Gaussian closure for the prediction of inertial-particle laden flows, Communication in Computational Physics 17, 1, 1–46. [CrossRef]
  • de Chaisemartin S., Fréret L., Kah D., Laurent F., Fox R.O., Reveillon J., Massot M. (2009) Eulerian models for turbulent spray combustion with polydispersity and droplet crossing, Comptes Rendus Mécanique 337, 438–448, Special Issue ‘Combustion for Aerospace Propulsion’. [CrossRef]
  • Mead L.R., Papanicolaou N. (1984) Maximum entropy in the problem of moments, J. Math. Phys. 25, 8, 2404–2417. ISSN 0022-2488. [NASA ADS] [CrossRef]
  • Descombes S., Massot M. (2004) Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: singular perturbation and order reduction, Numer. Math. 97, 4, 667–698. [CrossRef] [MathSciNet]
  • Bouchut F., Jin S., Li X. (2003) Numerical approximations of pressureless and isothermal gas dynamics, SIAM J. Num. Anal. 41, 135–158. [CrossRef]
  • Gordon R.G. (1968) Error bounds in equilibrium statistical mechanics, Journal of Mathematical Physics 9, 655–663. [CrossRef]
  • Adams M., Colella P., Graves D.T., Johnson J.N., Keen N.D., Ligocki T.J., Martin D.F., McCorquodale P.W., Modiano D., Schwartz P.O., Sternberg T.D., Van Straalen B. (2013) Chombo software package for amr applications - design document. Technical Report LBNL-6616E, Lawrence Berkeley National Laboratory.
  • Morton G.M. (1966) A computer oriented geodetic data base and a new technique in file sequencing. Technical report, Ottawa, Ontario, Canada.
  • Müller S. (2003) Adaptive Multiscale Schemes for Conservation Laws, Springer. [CrossRef]
  • Harten A. (1995) Multiresolution algorithms for the numerical solution of hyperbolic conservation laws, Communication on Pure Applied Mathematics 48, 1305–1342. [CrossRef] [MathSciNet]
  • Duarte M. (2011) Adaptive numerical methods in time and space for the simulation ofmulti-scale reaction fronts, PhD Thesis, École Centrale de Paris. Available online at
  • Sabat M., Larat A., Vié A., Massot M. (2014) On the development of high order realizable schemes for the Eulerian simulation of disperse phase flows: a convex-state preserving Discontinuous Galerkin method, Journal of Computational Multiphase Flows 6, 3, 247–270. [CrossRef] [MathSciNet]
  • Reveillon J., Demoulin F.X. (2007) Effects of the preferential segregation of droplets on evaporation and turbulent mixing, Journal of Fluid Mechanics 583, 273–302. [CrossRef]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.