Comparison between Lagrangian and mesoscopic Eulerian modelling approaches for inertial particles suspended in decaying isotropic turbulence

Kaufmann, André; Moreau, Mathieu; Simonin, Olivier; Hélie, Jérôme

doi:10.1016/j.jcp.2008.03.004

Cited by 63 publications

(66 citation statements)

References 22 publications

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“…Numerical tests [22] show that projection errors are due to the finite particle per cell number (statistical bias) and spatial discretisation. To limit these effects, the truncated Gaussian projector kernel is used:…”

Section: Measurement Of Particle Eulerian Quantities From Dns+dps Resmentioning

confidence: 99%

“…The moments of the PDF are mesoscopic Eulerian quantities which obey transport equations obtained by integration of the Boltzmann-type equation. Recently, Kaufmann et al [22] have computed an Eulerian simulation with the particle number density, correlated velocity and random uncorrelated energy (RUE) coupled with standard Navier-Stokes equations for the fluid and compared particle Eulerian quantities with DNS+DPS results in decaying HIT. They obtained a very good agreement between the mesoscopic Eulerian and Lagrangian predictions for very small particle Stokes number and found a negligible RUE effect.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Development of Gas-Particle Euler-Euler LES Approach: A Priori Analysis of Particle Sub-Grid Models in Homogeneous Isotropic Turbulence

Moreau

Simonin

Bédat

2009

Flow Turbulence Combust

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A new large eddy simulation (LES) approach for particle-laden turbulent flows in the framework of the Eulerian formalism for inertial particle statistical modelling is developed. Local instantaneous Eulerian equations for the particle cloud are first written using the mesoscopic Eulerian formalism (MEF) proposed by Février et al. (J Fluid Mech 533:1-46, 2005), which accounts for the contribution of an uncorrelated velocity component for inertial particles with relaxation time larger than the Kolmogorov time scale. Second, particle LES equations are obtained by volume filtering the mesoscopic Eulerian ones. In such an approach, the particulate flow at larger scales than the filter width is recovered while sub-grid effects need to be modelled. Particle eddy-viscosity, scale similarity and mixed sub-grid stress (SGS) models derived from fluid compressible turbulence SGS models are presented. Evaluation of such models is performed using three sets of particle Lagrangian results computed from discrete particle simulation (DPS) coupled with fluid direct numerical simulation (DNS) of homogeneous isotropic decaying turbulence. The two phase flow regime corresponds to the dilute one where two-way coupling and interparticle collisions are not considered. The different particle Stokes number (based on Kolmogorov time scale) are initially equal to 1, 2.2 and 5.1. The mesoscopic field properties are analysed in detail by considering the particle velocity probability function (PDF), correlated velocity power spectra and random uncorrelated velocity moments. The mesoscopic fields measured from DPS+DNS are then filtered to Flow Turbulence Combust (2010) 84:295-324 obtain large scale fields. A priori evaluation of particle sub-grid stress models gives comparable agreement than for fluid compressible turbulence models. It has been found that the standard Smagorinsky eddy-viscosity model exhibits the smaller correlation coefficients, the scale similarity model shows very good correlation coefficient but strongly underestimates the sub-grid dissipation and the mixed model is on the whole superior to pure eddy-viscosity model.

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Section: Measurement Of Particle Eulerian Quantities From Dns+dps Resmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Development of Gas-Particle Euler-Euler LES Approach: A Priori Analysis of Particle Sub-Grid Models in Homogeneous Isotropic Turbulence

Moreau

Simonin

Bédat

2009

Flow Turbulence Combust

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“…Kaufmann et al [37] successfully used a=6 in their study. Simulation results have proved that any changes in a influences mostly particles concentration field and it has small impacts on pressure drops and heat transfer coefficient.…”

Section: Resultsmentioning

confidence: 99%

CFD modelling of heat transfer and pressure drops for nanofluids through vertical tubes in laminar flow by Lagrangian and Eulerian approaches

Mahdavi

Sharifpur

Meyer

2015

International Journal of Heat and Mass Transfer

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Nanofluids consist of liquid and solid (nanoparticles), therefore, they can be classified as two-component flow, which brings up different approaches for simulation purposes. In this study, heat transfer and hydro-dynamic features of nanoparticles in a laminar nanofluid flow in a vertical tube are investigated numerically via Lagrangian and Eulerian approaches.Discrete Phase Model (DPM) in Lagrangian approach simulates the motion of particles through base flow with force balance equation, therefore, no needs empirical correlations at least for the thermo-physical properties (which they are not universal and change for different fluids and/or nanoparticles). Although, general empirical or analytical correlations are needed for some interactions between solid and liquid such as Thermophoresis, Brownian and clustering effects, but they are not that extensive and can be employed in most of the cases.Mixture model in Eulerian approach provides more reliable results, but it highly depends on the accuracy of the correlations for the thermo-physical properties of the nanofluid. In present study, three common types of nanofluids consist of Alumina, Zirconia and Silica nanoparticles (up to 2.76% of volume fraction) are studied and the results are compared with experimental works. Numerical simulations indicate that the findings are in good agreement with the measured heat transfer coefficient for DPM. Consequently, DPM can be highly recommended for simulation study due to the strength and simplicity. It has been also observed that the effects of nanoparticles in each computational cell need to be distributed to the other neighbourhood cells. Pressure losses results predicted by DPM were found reliable for volume fraction less than 3%, no matter the types of nanoparticles or diameter. DPM velocity profiles show that the slip velocity between nanoparticles and base flow is not negligible.

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“…To close these two terms, a transport equation for filtered particle RUE can be solved, as proposed by Février et al [32]. This has been done by Kaufmann et al [70] when simulating DNS of particle-laden HIT flows, showing good agreement between Lagrangian and Eulerian results. Still, these models proposed for the unclosed terms due to RUM are very recent and the validity of the viscosity model has recently been questioned by Riber [33] when performing LES in a particle-laden turbulent confined jet flow [71].…”

Section: Simplified Euler/euler Modelmentioning

confidence: 99%

Evaluation of numerical strategies for large eddy simulation of particulate two-phase recirculating flows

Riber

Moureau

García

et al. 2009

Journal of Computational Physics

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Predicting particle dispersion in recirculating two-phase flows is a key issue for reacting flows and a potential application of Large Eddy Simulation (LES) methods.In this study, Euler/Euler and Euler/Lagrange LES approaches are compared in the bluff body configuration from Borée et al.[1] where glass beads are injected into a complex recirculating flow. These tests are performed for non-reacting, nonevaporating sprays but are mandatory validations before computing realistic combustion chambers. Two different codes (one explicit and compressible and the other implicit and incompressible) are also tested on the same configuration. Results show that the gas flow is well predicted by both codes. The dispersed phase is also well predicted by both codes but the Lagrangian approach predicts root-mean-square values more accurately than the Eulerian approach. The effects of mesh, solvers and numerical schemes are discussed for each method.

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Comparison between Lagrangian and mesoscopic Eulerian modelling approaches for inertial particles suspended in decaying isotropic turbulence

Cited by 63 publications

References 22 publications

Development of Gas-Particle Euler-Euler LES Approach: A Priori Analysis of Particle Sub-Grid Models in Homogeneous Isotropic Turbulence

Development of Gas-Particle Euler-Euler LES Approach: A Priori Analysis of Particle Sub-Grid Models in Homogeneous Isotropic Turbulence

CFD modelling of heat transfer and pressure drops for nanofluids through vertical tubes in laminar flow by Lagrangian and Eulerian approaches

Evaluation of numerical strategies for large eddy simulation of particulate two-phase recirculating flows

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