Statistical description of turbulent particle-laden flows in the very dilute regime using the anisotropic Gaussian moment method
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) proper...
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| Published in | International journal of multiphase flow Vol. 112; pp. 243 - 257 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.03.2019
Elsevier |
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| Abstract | 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 Vié et al. (2015). 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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| AbstractList | 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 Vié et al. (2015). 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. 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. |
| Author | Vié, Aymeric Larat, Adam Massot, Marc Sabat, Macole |
| Author_xml | – sequence: 1 givenname: Macole surname: Sabat fullname: Sabat, Macole organization: Laboratoire EM2C UPR 288, CNRS, CentraleSupélec, Université Paris-Saclay, 3, rue Joliot-Curie, Gif-sur-Yvette cedex,91192, France – sequence: 2 givenname: Aymeric orcidid: 0000-0003-3998-0862 surname: Vié fullname: Vié, Aymeric email: aymeric.vie@centralesupelec.fr organization: Laboratoire EM2C UPR 288, CNRS, CentraleSupélec, Université Paris-Saclay, 3, rue Joliot-Curie, Gif-sur-Yvette cedex,91192, France – sequence: 3 givenname: Adam orcidid: 0000-0003-4650-5488 surname: Larat fullname: Larat, Adam organization: Laboratoire EM2C UPR 288, CNRS, CentraleSupélec, Université Paris-Saclay, 3, rue Joliot-Curie, Gif-sur-Yvette cedex,91192, France – sequence: 4 givenname: Marc orcidid: 0000-0001-8823-7667 surname: Massot fullname: Massot, Marc organization: Centre de Mathématiques Appliquées, Ecole polytechnique, CNRS, Université Paris-Saclay, Route de Saclay, Palaiseau Cedex, 91128 France |
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| CitedBy_id | crossref_primary_10_1016_j_powtec_2024_119490 crossref_primary_10_1016_j_ces_2019_115428 crossref_primary_10_1016_j_jcpx_2019_100006 crossref_primary_10_1016_j_ijmultiphaseflow_2019_103084 crossref_primary_10_1017_jfm_2019_538 crossref_primary_10_1017_jfm_2022_593 |
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| Keywords | Anisotropic gaussian Particle trajectory crossing Turbulence Eulerian models Disperse phase Anisotropic Gaussian Particle Trajectory Crossing |
| Language | English |
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| Snippet | 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... |
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| SubjectTerms | Anisotropic gaussian Disperse phase Engineering Sciences Eulerian models Fluid Dynamics Fluid mechanics Mechanics Particle trajectory crossing Physics Reactive fluid environment Turbulence |
| Title | Statistical description of turbulent particle-laden flows in the very dilute regime using the anisotropic Gaussian moment method |
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