Algebraic-Closure-Based Moment Method for Unsteady Eulerian Simulations of Non-Isothermal Particle-Laden Turbulent Flows at Moderate Stokes Numbers in Dilute Regime

Masi, Enrica; Simonin, Olivier

doi:10.1007/s10494-013-9516-2

Cited by 10 publications

(12 citation statements)

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“…Another approach would be to replace the Eulerian multi-fluid model by a multi-velocity model which applies a method-of-moment approach for the velocity field, see for instance Kah et al [67]. Various approaches for these method-of-moment approaches have been presented and results have been compared by Laurent et al [75], Masi and Simonin [93] and Vié et al [137].…”

Section: Resultsmentioning

confidence: 99%

“…In such a method multiple particle velocities can be handled for each grid cell. Different approaches for method-of-moment methods have been presented by Laurent et al [75] and Masi and Simonin [93]. It is expected that these methods are advantageous over the current method, in which crossing trajectories have been handled by a workaround which introduces additional bins, when a large number of crossing events are foreseen, such as in turbofan compressors.…”

Section: Recommendationsmentioning

confidence: 99%

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Eulerian method for ice crystal icing in turbofan engines

Norde¹

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Section: Resultsmentioning

confidence: 99%

Section: Recommendationsmentioning

confidence: 99%

Eulerian method for ice crystal icing in turbofan engines

Norde¹

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“…Eulerian particle methods have been explored as an alternative to the Lagrangian particle tracking method [9,14,15,22,27,28,8,24,47]. The goal of such methods is to solve the statistics of the disperse phase, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…In this case when volume fraction of particles is sufficiently large to allow for many collisions, the velocity distribution relaxes towards the Maxwellian distribution, following the kinetic theory [6]. For low volume fraction range assumptions have to be made on the NDF itself (Kinetic-Based Moment Methods, [47,24]) or on the moment system directly (Algebraic-Closure-Based Moment Methods, [22,27,28]). In the present contribution, we use the Monokinetic Eulerian approach.…”

Section: Introductionmentioning

confidence: 99%

Particle-laden flows forced by the disperse phase: Comparison between Lagrangian and Eulerian simulations

Vié¹,

Pouransari²,

Zamansky

et al. 2016

International Journal of Multiphase Flow

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International audienceThe goal of the present work is to assess the ability of Eulerian moment methods to reproduce the physics of two-way coupled particle-laden turbulent flow systems. Previous investigations have been focused on effects such as preferential concentration, and turbulence modulation, but in regimes in which turbulence is sustained by an imposed external forcing. We show that in such regimes, Eulerian methods need resolutions finer than nominal Kolmogorov scale in order to capture statistics of particle segregation, but gas and disperse phase velocity variances can be captured with resolutions comparable to the Kolmogorov length. The work is then extended to address the question whether Eulerian methods are suitable in scenarios in which the continuum field of interest (temperature or momentum) is itself primarily driven by particles. To this end we have extended our analysis to the problem of turbulence driven by heated particles (Zamansky et al. PoF 2014) and have assessed capabilities of Eulerian methods in capturing particle segregation, as well as statistics of the temperature and velocity fields. Separate investigations are developed for cases with and without buoyancy driven turbulence. For each case corresponding Lagrangian calculations are developed and convergence of statistics with respect to the number of particles is established. Then the statistically-converged Lagrangian and Eulerian results are compared. Results show that accurate capture of segregation by the Eulerian methods always requires resolutions much higher than the nominal Kolmogorov scale. In scenarios for which a continuum phase is forced by particles, results from Eulerian methods show some sensitivity of predicted continuum statistics to the mesh resolution. This sensitivity was found to be largest for the case of a temperature field forced by hot particles, but without presence of buoyancy. In this case a Eulerian method with nominal Kolmogorov resolution was found to be insufficient for capture of temperature statistics. When additional coupling between particles and continuum phase is introduced by including the buoyancy effects, this sensitivity is suppressed in the temperature field, but some sensitivity to the Eulerian mesh resolution were detected in the momentum fields

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“…To handle these higher order moments, several methods can be found in the literature, and can be split into two categories. On one hand, Algebraic-Closure-Based Moment Methods (ACBMM) [2,46,55,54] derive closures for the second order moments using physical and/or mathematical assumptions. On the other hand, Kinetic-Based Moment Methods (KBMM) close the system by using a presumed shape for the NDF [48,56,17,45,72,70,71], which has as many parameters as the number of moments required to be controlled to describe the NDF accurately.…”

mentioning

confidence: 99%

On the Eulerian Large Eddy Simulation of Disperse Phase Flows: An Asymptotic Preserving Scheme for Small Stokes Number Flows

Chalons¹,

Massot²,

Vié³

2015

Multiscale Model. Simul.

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Abstract.In the present work, the Eulerian Large Eddy Simulation of dilute disperse phase flows is investigated. By highlighting the main advantages and drawbacks of the available approaches in the literature, a choice is made in terms of modelling: a Fokker-Planck-like filtered kinetic equation proposed by Zaichik et al. 2009 and a Kinetic-Based Moment Method (KBMM) based on a Gaussian closure for the NDF proposed by Vie et al. 2014. The resulting Euler-like system of equations is able to reproduce the dynamics of particles for small to moderate Stokes number flows, given a LES model for the gaseous phase, and is representative of the generic difficulties of such models. Indeed, it encounters strong constraints in terms of numerics in the small Stokes number limit, which can lead to a degeneracy of the accuracy of standard numerical methods. These constraints are: 1/as the resulting sound speed is inversely proportional to the Stokes number, it is highly CFL-constraining, and 2/the system tends to an advection-diffusion limit equation on the number density that has to be properly approximated by the designed scheme used for the whole range of Stokes numbers. Then, the present work proposes a numerical scheme that is able to handle both. Relying on the ideas introduced in a different context by Chalons et al. 2013: a Lagrange-Projection, a relaxation formulation and a HLLC scheme with source terms, we extend the approach to a singular flux as well as properly handle the energy equation. The final scheme is proven to be Asymptotic-Preserving on 1D cases comparing to either converged or analytical solutions and can easily be extended to multidimensional configurations, thus setting the path for realistic applications.

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Algebraic-Closure-Based Moment Method for Unsteady Eulerian Simulations of Non-Isothermal Particle-Laden Turbulent Flows at Moderate Stokes Numbers in Dilute Regime

Abstract: OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible.

Cited by 10 publications

References 51 publications

Eulerian method for ice crystal icing in turbofan engines

Eulerian method for ice crystal icing in turbofan engines

Particle-laden flows forced by the disperse phase: Comparison between Lagrangian and Eulerian simulations

On the Eulerian Large Eddy Simulation of Disperse Phase Flows: An Asymptotic Preserving Scheme for Small Stokes Number Flows

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