Publication de 12 numéros par an
ISSN Imprimer: 1044-5110
ISSN En ligne: 1936-2684
Indexed in
EULERIAN MOMENT METHODS FOR AUTOMOTIVE SPRAYS
RÉSUMÉ
To assist industrial engine design, 3D simulations are increasingly used as they allow evaluation of a wide range of engine configurations and operating conditions and bring a comprehension of the underlying physics complementary to experiments. While the gaseous flow description has reached a certain level of maturity, the multiphase flow description involving the liquid jet fuel injected into the chamber still faces some major challenges. There is a pressing need for a spray model that is time efficient and accurately describes the fuel-particle cloud dynamics downstream of the injector, which is an essential prerequisite for predictive combustion simulations. Due to the highly unsteady nature of the flow following the high-pressure injection process and the complexity of the flow regimes from separated/dense compressible phases to fully developed turbulent spray with evaporating droplets, Eulerian-Eulerian descriptions of two-phase flows are seen as very promising approaches towards realistic and predictive simulations of the mixing process. However, they require some effort in terms of physical modeling and numerical analysis related to the more complex mathematical structure of the system of equations and to the unclosed terms appearing in space/time-average equations. Among the various challenges faced, one critical aspect is to capture spray polydispersity in this framework. A review of recent developments that have permitted key advances in the spray modeling community is proposed in this paper. It is divided into four parts. First, an introduction to automotive spray modeling is provided. Then the formalisms for the description of the disperse region of an engine spray are presented with particular emphasis on the pros and cons of classical Lagrangian particle methods versus Eulerian approaches. The third part presents the motivation for and the recent developments of Eulerian high-order moment methods for size polydispersion. Finally, the extension to fully two-way coupled interactions with the gas phase and the implementation of such methods for variable-geometry applications in CFD codes is described in the fourth part. Using realistic direct injection conditions computed with the IFP-C3D solver, the application and efficiency of Eulerian approaches is illustrated.
-
Essadki Mohamed, de Chaisemartin Stéphane, Massot Marc, Laurent Frédérique, Larat Adam, Jay Stéphane, De Chaisemartin S., Adaptive Mesh Refinement and High Order Geometrical Moment Method for the Simulation of Polydisperse Evaporating Sprays, Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles, 71, 5, 2016. Crossref
-
Doisneau F., Arienti M., Oefelein J., On Multi-Fluid models for spray-resolved LES of reacting jets, Proceedings of the Combustion Institute, 36, 2, 2017. Crossref
-
Dupif Valentin, Dupays Joël, Massot Marc, Laurent Frédérique, On the importance of modeling size and velocity polydispersion of alumina droplets with robust and accurate numerical schemes for the prediction of solid rocket motors instabilities, 53rd AIAA/SAE/ASEE Joint Propulsion Conference, 2017. Crossref
-
Fox Rodney O., Quadrature-Based Moment Methods for Multiphase Chemically Reacting Flows, in Bridging Scales in Modelling and Simulation of Non-Reacting and Reacting Flows. Part I, 52, 2018. Crossref
-
Emre Oğuz, O. Fox Rodney, Massot Marc, de Chaisemartin Stéphane, Jay Stéphane, Laurent Frédérique, Towards Eulerian Modeling of a Polydisperse Evaporating Spray Under Realistic Internal-Combustion-Engine Conditions, Flow, Turbulence and Combustion, 93, 4, 2014. Crossref
-
Rutard N., Dorey L.-H., Le Touze C., Ducruix S., Large-eddy simulation of an air-assisted liquid jet under a high-frequency transverse acoustic forcing, International Journal of Multiphase Flow, 122, 2020. Crossref
-
Gilfanov A K, Zaripov T S, Nikonenkova T V, Eulerian methods for modelling gas-particle flows with low inertia particles, Journal of Physics: Conference Series, 1158, 2019. Crossref
-
Dunn Dennis M., Squires Kyle D., Modeling Dilute Gas–Solid Flows Using a Polykinetic Moment Method Approach, Journal of Fluids Engineering, 138, 4, 2016. Crossref
-
Le Touze C., Dorey L.-H., Rutard N., Murrone A., A compressible two-phase flow framework for Large Eddy Simulations of liquid-propellant rocket engines, Applied Mathematical Modelling, 84, 2020. Crossref
-
Gilfanov A. K., Salahov R. R., Zaripov T. S., Mathematical Modelling of Evaporating Droplets Dynamics in a Vortex Ring Using Moment Method, Lobachevskii Journal of Mathematics, 41, 6, 2020. Crossref
-
Mohamed Essadki, Florence Drui, Stéphane de Chaisemartin, Adam Larat, Thibault Ménard, Marc Massot, Statistical modeling of the gas–liquid interface using geometrical variables: Toward a unified description of the disperse and separated phase flows, International Journal of Multiphase Flow, 120, 2019. Crossref
-
Gilfanov A. K., Zaripov T. S., Sazhin S. S., Rybdylova O., An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling, Lobachevskii Journal of Mathematics, 43, 8, 2022. Crossref