Eulerian Moment Methods for Automotive Sprays

Özkaya, Emre; Kah, Damien; Jay, Stéphane; Tran, Quang Huy; Velghe, A.; Chaisemartin, Stéphane de; Fox, Rodney O.; Laurent, Frédérique; Massot, Marc

doi:10.1615/atomizspr.2015011204

Cited by 14 publications

(16 citation statements)

References 81 publications

(176 reference statements)

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“…The N sec intervals are referred to as the sections [66,38]. The Multi-Fluid modeling strategy has been applied to engine sprays [29] and specific extensions were considered [41,61,42] in cases where the numerical setup was limiting local drop concentrations to the dilute spray regime; e.g., by injecting liquid downstream of the nozzle. The strategy and numerics devised here focus on capturing near-nozzle scales and connecting dense spray dynamics to a dilute reacting spray.…”

Section: Multi-fluid Modelmentioning

confidence: 99%

“…Still Eulerian methods have been applied with success to mechanical engineering problems, especially when the coupling is strong (through two-way momentum and heat transfers or through evaporation and combustion). Examples of applications are gas turbine ignition [13], Diesel spray polydisperse evaporation [42,61] and combustion LES [88], SRB hydroacoustic [39] and thermoacoustic [83] instabilities, and fluidized beds [44]. Eulerian methods have been acknowledged for their good coupling and parallel properties in the spray [13,37] and plasma communities [52].…”

Section: Introductionmentioning

confidence: 99%

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A semi-Lagrangian transport method for kinetic problems with application to dense-to-dilute polydisperse reacting spray flows

Doisneau

Arienti

Oefelein

2017

Journal of Computational Physics

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For sprays, as described by a kinetic disperse phase model strongly coupled to the Navier-Stokes equations, the resolution strategy is constrained by accuracy objectives, robustness needs, and the computing architecture. In order to leverage the good properties of the Eulerian formalism, we introduce a deterministic particle-based numerical method to solve transport in physical space, which is simple to adapt to the many types of closures and moment systems. The method is inspired by the semi-Lagrangian schemes, developed for Gas Dynamics. We show how semi-Lagrangian formulations are relevant for a disperse phase far from equilibrium and where the particle-particle coupling barely influences the transport; i.e., when particle pressure is negligible. The particle behavior is indeed close to free streaming. The new method uses the assumption of parcel transport and avoids to compute fluxes and their limiters, which makes it robust. It is a deterministic resolution method so that it does not require efforts on statistical convergence, noise control, or post-processing. All couplings are done among data under the form of Eulerian fields, which allows one to use efficient algorithms and to anticipate the computational load. This makes the method both accurate and efficient in the context of parallel computing. After a complete verification of the new transport method on various academic test cases, we demonstrate the overall strategy's ability to solve a strongly-coupled liquid jet with fine spatial resolution and we apply it to the case of high-fidelity Large Eddy Simulation of a dense spray flow. A fuel spray is simulated after atomization at Diesel engine combustion chamber conditions. The large, parallel, strongly coupled computation proves the efficiency of the method for dense, polydisperse, reacting spray flows.

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Section: Multi-fluid Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A semi-Lagrangian transport method for kinetic problems with application to dense-to-dilute polydisperse reacting spray flows

Doisneau

Arienti

Oefelein

2017

Journal of Computational Physics

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“…multi-fluid models, where the size phase space is discretized into sections. Then moments up to order two can be used in each section [16,17], B. quadrature-moment methods such as QMOM, DQMOM or EQMOM [18,19], consider the NDF as a sum of Dirac-delta functions, potentially extended to kernels, C. high order moments with continuous reconstruction developed in [20,21,22,23,24]. At each step, a continuous NDF maximizing the Shannon entropy is reconstructed from the high order moments [25], with a complete coverage of the whole moment space.…”

Section: Introductionmentioning

confidence: 99%

Statistical modeling of the gas–liquid interface using geometrical variables: Toward a unified description of the disperse and separated phase flows

Essadki

Drui

Chaisemartin

et al. 2019

International Journal of Multiphase Flow

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In this work, we investigate an original strategy in order to derive a statistical modeling of the interface in gas-liquid two-phase flows through geometrical variables. The contribution is two-fold. First it participates in the theoretical design of a unified reducedorder model for the description of two regimes: a disperse phase in a carrier fluid and two separated phases. The first idea is to propose a statistical description of the interface relying on geometrical properties such as the mean and Gauss curvatures and define a Surface Density Function (SDF). The second main idea consists in using such a formalism in the disperse case, where a clear link is proposed between local statistics of the interface and the statistics on objects, such as the number density function in Williams-Boltzmann equation for droplets. This makes essential the use of topological invariants in geometry through the Gauss-Bonnet formula and allows to include the works conducted on sprays of spherical droplets. It yields a statistical treatment of populations of non-spherical objects such as ligaments, as long as they are homeomorphic to a sphere. Second, it provides an original angle and algorithm in order to build statistics from DNS data of interfacial flows. From the theoretical approach, we identify a kernel for the spatial averaging of geometrical quantities preserving the topological invariants. Coupled to a new algorithm for the evaluation of curvatures and surface that preserves these invariants, we analyze two sets of DNS results conducted with the ARCHER code from CORIA with and without topological changes and assess the approach.

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“…This approach is commonly known as multi-fluid models [22,23]. The second approach involves higher order moments using either a quadrature of the distribution or a smooth reconstruction using kernels and quadrature or entropy maximization (see [24][25][26] and references therein) on the whole size range. In the third approach, we use a hybrid method [27][28][29][30][31] using high order moment method on discretized size intervals.…”

Section: Introductionmentioning

confidence: 99%

“…In the third approach, we use a hybrid method [27][28][29][30][31] using high order moment method on discretized size intervals. This last approach has been used in recent contribution of some of the authors in [4,24,25,27,31,32] and seems to be a very good compromise in terms of accuracy versus computational cost for automotive engine simulations.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Mesh Refinement and High Order Geometrical Moment Method for the Simulation of Polydisperse Evaporating Sprays

Essadki

Chaisemartin

Massot

et al. 2016

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Predictive simulation of liquid fuel injection in automotive engines has become a major challenge for science and applications. The key issue in order to properly predict various combustion regimes and pollutant formation is to accurately describe the interaction between the carrier gaseous phase and the polydisperse evaporating spray produced through atomization. For this purpose, we rely on the EMSM (Eulerian Multi-Size Moment) Eulerian polydisperse model. It is based on a high order moment method in size, with a maximization of entropy technique in order to provide a smooth reconstruction of the distribution, derived from a Williams-Boltzmann mesoscopic model under the monokinetic assumption [O. ]. The present contribution relies on a major extension of this model [M. Essadki, S. de Chaisemartin, F. Laurent, A. Larat, M. Massot (2016) Submitted to SIAM J. Appl. Math.], with the aim of building a unified approach and coupling with a separated phases model describing the dynamics and atomization of the interface near the injector. The novelty is to be found in terms of modeling, numerical schemes and implementation. A new high order moment approach is introduced using fractional moments in surface, which can be related to geometrical quantities of the gas-liquid interface. We also provide a novel algorithm for an accurate resolution of the evaporation. Adaptive mesh refinement properly scaling on massively parallel architectures yields a precise integration of transport in physical space limiting both numerical dissipation as well as the memory trace of the solver. A series of test-cases is presented and analyzed, thus assessing the proposed approach and its parallel computational efficiency while evaluating its potential for complex applications. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Résumé -Raffinement de maillage adaptatif et méthode de moments géométriques d'ordre élevé pour la simulation des sprays en évaporation -La simulation prédictive de l'injection diphasique dans les chambres de combustion automobiles représente un enjeu majeur scientifique et applicatif. La description détaillée de l'interaction entre le brouillard de gouttes polydispersé produit par atomisation et l'écoulement gazeux est fondamentale pour prédire les régimes de combustion et la formation de polluant. Pour décrire la phase liquide, le modèle Eulérien polydisperse EMSM (Eulerian Multi-Size Moment) est choisi. Cette approche de type moments d'ordre élevé en taille avec reconstruction continue par maximisation d'entropie est construite à partir d'un modèle mésoscopique de Williams-Boltzmann sous l'hypothèse monocinétique [O. Emre (2014) PhD Thesis, ]. La présente contribution propose une extension majeure de ce modèle [M. Essadki, S. de Chaisemartin, F. Laurent, A. Larat, M. Massot (2016) Submitted to SIAM...

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Eulerian Moment Methods for Automotive Sprays

Cited by 14 publications

References 81 publications

A semi-Lagrangian transport method for kinetic problems with application to dense-to-dilute polydisperse reacting spray flows

A semi-Lagrangian transport method for kinetic problems with application to dense-to-dilute polydisperse reacting spray flows

Statistical modeling of the gas–liquid interface using geometrical variables: Toward a unified description of the disperse and separated phase flows

Adaptive Mesh Refinement and High Order Geometrical Moment Method for the Simulation of Polydisperse Evaporating Sprays

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