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Title: Wavelet multiresolution analysis of particle-laden turbulence

Abstract

Direct numerical simulations of incompressible homogeneous-isotropic turbulence laden with a dilute suspension of inertial point particles are performed in conjunction with a wavelet multiresolution analysis of the results. The use of spatially localized wavelet basis functions enables the simultaneous consideration of physical and scale spaces in the spectral characterization of the flow field of the carrier phase and the concentration field of the dispersed phase. The multiresolution analysis of the dispersed phase provides statistical information about the spatial variabilities of a scale-dependent coarse-grained number density field and the local energy spectra of its fluctuations, characterizing the sensitivities of those quantities to variations in scale and Stokes number. In particular, the spatial variabilities of the wavelet energy spectrum of the particle concentration fluctuations are observed to be maximum in regimes where the particles preferentially concentrate. The results highlight the scale-dependent inhomogeneities of the structures in the concentration field generated by preferential concentration, and the existence of characteristic scales of interaction between the dispersed and carrier phases. Additionally, an interphase multiresolution analysis is performed that indicates the occurrence of a spatial anticorrelation between the enstrophy and kinetic-energy spectra of the carrier phase and the particle concentration at small scales in regimes wheremore » preferential concentration is important. In conclusion, this anticorrelation vanishes as the scale is increased and is largely suppressed when the preferential-concentration effect is negligible.« less

Authors:
 [1];  [1];  [1]
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  1. Stanford Univ., Stanford, CA (United States)
Publication Date:
Research Org.:
Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1468349
Alternate Identifier(s):
OSTI ID: 1467959
Grant/Contract Number:  
NA0002373
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 3; Journal Issue: 8; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Bassenne, Maxime, Moin, Parviz, and Urzay, Javier. Wavelet multiresolution analysis of particle-laden turbulence. United States: N. p., 2018. Web. doi:10.1103/PhysRevFluids.3.084304.
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Bassenne, Maxime, Moin, Parviz, & Urzay, Javier. Wavelet multiresolution analysis of particle-laden turbulence. United States. https://doi.org/10.1103/PhysRevFluids.3.084304
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Bassenne, Maxime, Moin, Parviz, and Urzay, Javier. Wed . "Wavelet multiresolution analysis of particle-laden turbulence". United States. https://doi.org/10.1103/PhysRevFluids.3.084304. https://www.osti.gov/servlets/purl/1468349.
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@article{osti_1468349,
title = {Wavelet multiresolution analysis of particle-laden turbulence},
author = {Bassenne, Maxime and Moin, Parviz and Urzay, Javier},
abstractNote = {Direct numerical simulations of incompressible homogeneous-isotropic turbulence laden with a dilute suspension of inertial point particles are performed in conjunction with a wavelet multiresolution analysis of the results. The use of spatially localized wavelet basis functions enables the simultaneous consideration of physical and scale spaces in the spectral characterization of the flow field of the carrier phase and the concentration field of the dispersed phase. The multiresolution analysis of the dispersed phase provides statistical information about the spatial variabilities of a scale-dependent coarse-grained number density field and the local energy spectra of its fluctuations, characterizing the sensitivities of those quantities to variations in scale and Stokes number. In particular, the spatial variabilities of the wavelet energy spectrum of the particle concentration fluctuations are observed to be maximum in regimes where the particles preferentially concentrate. The results highlight the scale-dependent inhomogeneities of the structures in the concentration field generated by preferential concentration, and the existence of characteristic scales of interaction between the dispersed and carrier phases. Additionally, an interphase multiresolution analysis is performed that indicates the occurrence of a spatial anticorrelation between the enstrophy and kinetic-energy spectra of the carrier phase and the particle concentration at small scales in regimes where preferential concentration is important. In conclusion, this anticorrelation vanishes as the scale is increased and is largely suppressed when the preferential-concentration effect is negligible.},
doi = {10.1103/PhysRevFluids.3.084304},
journal = {Physical Review Fluids},
number = 8,
volume = 3,
place = {United States},
year = {Wed Aug 29 00:00:00 EDT 2018},
month = {Wed Aug 29 00:00:00 EDT 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevFluids.3.084304
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Cited by: 9 works
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Figures / Tables:

FIG. 1 FIG. 1: Spatial distribution of particles (black dots) in a two-dimensional cross section of thickness equal to one Kolmogorov length for three different Stokes number: Stk = 0.1 (first row), Stk = 1 (second row) and Stk = 10 (third row) obtained from DNS of particle-laden homogeneous-isotropic turbulence (see Sec.more » II for further details on the computational set-up). The fourth row corresponds to randomly distributed particles with the same total number of particles as above. Second to fourth columns are ×4 magnified view of the solid-red-line contoured subregion in the nearest left column. The first column represents a full-scale cross-section of the entire computational domain.« less
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