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Article Dans Une Revue International Journal of Multiphase Flow Année : 2019

Statistical description of turbulent particle-laden flows in the very dilute regime using the Anisotropic Gaussian Moment Method

Résumé

The present work aims at investigating the ability of a Kinetic-Based Moment Method (KBMM) to reproduce the statistics of turbulent particle-laden flows using the Anisotropic Gaussian (AG) closure. This method is the simplest KBMM member that can account for Particle Trajectory Crossing (PTC) properly with a well-posed mathematical structure [1]. In order to validate this model further, we investigate here 3D turbulent flows that are more representative of the mixing processes, which occurs in realistic applications. The chosen configuration is a 3D statistically-stationary Homogeneous Isotropic Turbulence (HIT) loaded with particles in a very dilute regime. The analysis focuses on the description of the first three lowest order moments of the particulate flow: the number density, the Eulerian velocity and the internal energy. A thorough numerical study on a large range of particle inertia allows us to show that the AG closure extends the ability of the Eulerian models to correctly reproduce the particle dynamics up to a Stokes number based on the Eulerian turbulence macro-scale equal to one, but also highlights the necessity of high-order numerical schemes to reach mesh convergence, especially for the number density field.
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Dates et versions

hal-01886835 , version 1 (04-10-2018)

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Macole Sabat, Aymeric Vié, Adam Larat, Marc Massot. Statistical description of turbulent particle-laden flows in the very dilute regime using the Anisotropic Gaussian Moment Method. International Journal of Multiphase Flow, 2019, 112, pp.243-257. ⟨10.1016/j.ijmultiphaseflow.2018.10.004⟩. ⟨hal-01886835⟩
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