A hybrid Eulerian–Lagrangian method to simulate the dispersed phase in turbulent gas-particle flows

Pialat, Xavier; Simonin, Olivier; Villedieu, Philippe

doi:10.1016/j.ijmultiphaseflow.2007.02.003

Cited by 17 publications

(13 citation statements)

References 39 publications

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“…As discussed in the introduction, the derivation of practical general wall boundary conditions in the frame of the Eulerian moment approach is a very difficult challenge and a very promising approach should be to couple the moment equations with a full resolution of the PDF transport equation in the near-wall region. Such an hybrid method has already been developed by using a Lagrangian stochastic approach to solve the PDF kinetic equation [29,30] but the coupling of Eulerian moment approach with Lattice Boltzmann approach seems to be much more feasible. The present paper shows that this coupling can now be considered for the prediction of particle-laden turbulent flow with deposition at the wall.…”

Section: Conclusion and Prospectsmentioning

confidence: 99%

“…To overcome the challenges, the final practical objective is to develop an hybrid method where the moment approach is used far from the wall and coupled with a full resolution method of the PDF kinetic equation towards the wall. The PDF resolution method could be a Lagrangian stochastic method, as proposed by [30], or a LBM approach, as developed in the present paper, with the goal to simplify the coupling process with the moment approach used in the main flow.…”

Section: Introductionmentioning

confidence: 99%

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Lattice Boltzmann model for predicting the deposition of inertial particles transported by a turbulent flow

Fede

Sofonea

Fournier

et al. 2015

International Journal of Multiphase Flow

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Please cite this article as: Fede, P., Sofonea, V., Fournier, R., Blanco, S., Simonin, O., Lepoutère, G., Ambruş, V., Lattice Boltzmann model for predicting the deposition of inertial particles transported by a turbulent flow, International Journal of Multiphase Flow (2015), doi: http://dx. AbstractDeposition of inertial solid particles transported by turbulent flows is modelled in a framework of a statistical approach based on the particle velocity Probability Density Function (PDF). The particle-turbulence interaction term is closed in the kinetic equation by a model widely inspired from the famous BGK model of the kinetic theory of rarefied gases. A Gauss-Hermite Lattice Boltzmann model is used to solve the closed kinetic equation involving the turbulence effect. The Lattice Boltzmann model is used for the case of the deposition of inertial particles transported by a homogeneous isotropic turbulent flows. Even if the carrier phase is homogeneous and isotropic, the presence of the wall coupled with particle-turbulence interactions leads to inhomogeneous particle distribution and non-equilibrium particle fluctuating motion. Despite these complexities the predictions of the Lattice Boltzmann * Corresponding author. model are in very good accordance with random-walk simulations. More specifically the mean particle velocity, the r.m.s. particle velocity and the deposition rate are all well predicted by the proposed Lattice Boltzmann model.

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Section: Conclusion and Prospectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann model for predicting the deposition of inertial particles transported by a turbulent flow

Fede

Sofonea

Fournier

et al. 2015

International Journal of Multiphase Flow

Self Cite

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“…This first proposal has often been cited as a 'stochastic model' [29,67,68] to be compared on an equal footing with the more complete formulations that will be discussed below.…”

Section: First Langevin Proposalsmentioning

confidence: 99%

“…Then, given the expression of the Csanady's timescales in Eqs. (67), which can be re-written under the form T * L,|| = T L / √ 1 + x 2 with x = St × (g T L )/ 2/3k, we have to first order in St that T * L,|| ≃ T L as well as T * L,⊥ ≃ T L . This means that the mean conditional average of the drift vector D s | Z which appears in the criterion (P-6) is such that…”

Section: First Langevin Proposalsmentioning

confidence: 99%

Guidelines for the formulation of Lagrangian stochastic models for particle simulations of single-phase and dispersed two-phase turbulent flows

Minier¹,

Chibbaro

Pope

2014

Physics of Fluids

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In this paper, we establish a set of criteria which are applied to discuss various formulations under which Lagrangian stochastic models can be found. These models are used for the simulation of fluid particles in single-phase turbulence as well as for the fluid seen by discrete particles in dispersed turbulent two-phase flows. The purpose of the present work is to provide guidelines, useful for experts and non-experts alike, which are shown to be helpful to clarify issues related to the form of Lagrangian stochastic models. A central issue is to put forward reliable requirements which must be met by Lagrangian stochastic models and a new element brought by the present analysis is to address the single-and two-phase flow situations from a unified point of view. For that purpose, we consider first the single-phase flow case and check whether models are fully consistent with the structure of the Reynolds-stress models. In the two-phase flow situation, coming up with clear-cut criteria is more difficult and the present choice is to require that the single-phase situation be well-retrieved in the fluidlimit case, elementary predictive abilities be respected and that some simple statistical features of homogeneous fluid turbulence be correctly reproduced. This analysis does not address the question of the relative predictive capacities of different models but concentrates on their formulation since advantages and disadvantages of different formulations are not always clear. Indeed, hidden in the changes from one structure to another are some possible pitfalls which can lead to flaws in the construction of practical models and to physically unsound numerical calculations. A first interest of the present approach is illustrated by considering some models proposed in the literature and by showing that these criteria help to assess whether these Lagrangian stochastic models can be regarded as acceptable descriptions. A second interest is to indicate how future developments can be safely built, which is also relevant for stochastic subgrid models for particle-laden flows in the context of Large Eddy Simulations. C 2014 AIP Publishing LLC. [http://dx.

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“…This model has been extensively used for gas-particle flows (see e.g. Squires & Eaton 1990;Elghobashi & Truesdell, 1992;Ferrante & Elghobashi, 2003;Eaton, 2009;Pialat et al 2007;Soldati & Marchioli 2009), and also for bubbly flows (see, e.g., Climent & Magnaudet, 2006;van den Berg et al, 2006;Mazzitelli & Lohse 2009). …”

Section: Introductionmentioning

confidence: 99%

Multiphase Rayleigh-Bénard convection

Oresta

Fornarelli

Prosperetti

2014

Mechanical Engineering Reviews

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Numerical simulations of two-phase Rayleigh-Bénard convection in a cylindrical cell with particles or vapor bubbles suspended in the fluid are described. The particles or bubbles are modeled as points, the Rayleigh number is 2 × 10 6 and the fluids considered are air, for the particle case, and saturated water for bubbles. It is shown that the presence of a second phase has a profound effect on the flow and heat transfer in the cell. The heat capacity of the particles and the latent heat of the liquid are used, in dimensionless form, as control parameters to modulate these effects. It is shown that, as these parameters are varied, the nature of the flow in the cell changes substantially, in some cases with adverse and in others beneficial effects on the Nusselt number. By the analysis of several aspects of the numerical results, a physical discussion of several mechanisms is provided.

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A hybrid Eulerian–Lagrangian method to simulate the dispersed phase in turbulent gas-particle flows

Cited by 17 publications

References 39 publications

Lattice Boltzmann model for predicting the deposition of inertial particles transported by a turbulent flow

Lattice Boltzmann model for predicting the deposition of inertial particles transported by a turbulent flow

Guidelines for the formulation of Lagrangian stochastic models for particle simulations of single-phase and dispersed two-phase turbulent flows

Multiphase Rayleigh-Bénard convection

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