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Wavelet multiresolution analysis of particle-laden turbulence

Maxime Bassenne*, Parviz Moin, and Javier Urzay

  • Center for Turbulence Research, Stanford University, Stanford, California 94305-3024, USA

  • *Corresponding author: bassenne@stanford.edu
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Phys. Rev. Fluids 3, 084304 – Published 29 August, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.084304

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 where preferential concentration is important. This anticorrelation vanishes as the scale is increased and is largely suppressed when the preferential-concentration effect is negligible.

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Phys. Rev. Fluids 3, 084304– Published 29 August, 2018
  • Received 12 May 2018
Article part of CHORUS
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