Modulation of interphase, cross-scale momentum transfer of turbulent flows by preferentially concentrated inertial particles

Nabavi, Miralireza; Renzo, Mario Di; Kim, Jeonglae

doi:10.1103/physrevfluids.7.044305

Cited by 2 publications

(14 citation statements)

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“…The present study employs a WMRA framework originally developed by Meneveau (1991) for studying the spectral energy transport and later extended to turbulent channel flows (Dunn & Morrison 2003), turbulent combustion (Kim et al 2018), droplet-laden turbulence (Freund & Ferrante 2019) and particle-laden turbulence (Nabavi et al 2022). Compared with the Fourier analysis of spectral energy transfer, wavelet offers several distinct advantages (Meneveau 1991;Kim et al 2018;Nabavi et al 2022). With a sufficiently complex wavelet basis, a spatial localisation of the analysis at a good spectral resolution can be achieved.…”

Section: Wmra Framework For Sgs Modellingmentioning

confidence: 99%

“…Following the wavelet formulations developed to analyse the spectral energy transfer of turbulence (Meneveau 1991;Kim et al 2018;Nabavi et al 2022), this study applies the WRMA framework to evaluate the spectrally and spatially local energy transfer due to the unresolved triadic interactions of momentum. Given a SGS closure, this study also uses WMRA to compute the modelled SGS dissipation per scale and location.…”

Section: Wmra Framework For Sgs Modellingmentioning

confidence: 99%

“…In this section, the WMRA framework for spectral energy transfer is summarised first, and the specific procedure for estimating optimal model coefficients and discovering an optimal model form is described. The notation is consistent with that of Nabavi et al (2022).…”

Section: Wmra Framework For Sgs Modellingmentioning

confidence: 99%

“…For instance, turbulent premixed flames at moderate Karlovitz numbers (Ka > 1) have a sufficient time for the thermal effects to interact with the Kolmogorov eddies. In such regimes, a SGS closure may potentially require to incorporate the effects of the combustion-induced energy backscatter (O'Brien et al 2017;Sabelnikov et al 2023), which is difficult to model via the resolved strain rate alone. Similarly, a priori study demonstrates that a modelled SGS stress for a two-way coupled LES of particle-laden turbulence of the mass loading of unity should include the inter-phase coupling effects if the particle inertia is significant (Nabavi, Di Renzo & Kim 2022).…”

mentioning

confidence: 99%

“…In such regimes, a SGS closure may potentially require to incorporate the effects of the combustion-induced energy backscatter (O'Brien et al 2017;Sabelnikov et al 2023), which is difficult to model via the resolved strain rate alone. Similarly, a priori study demonstrates that a modelled SGS stress for a two-way coupled LES of particle-laden turbulence of the mass loading of unity should include the inter-phase coupling effects if the particle inertia is significant (Nabavi, Di Renzo & Kim 2022). For such configurations, the specific functional form of the modelled SGS stress is not usually known a priori, and related theoretical studies are scarce, making the modelling study difficult.…”

mentioning

confidence: 99%

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Optimising subgrid-scale closures for spectral energy transfer in turbulent flows

Nabavi,

Kim

2024

J. Fluid Mech.

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Subgrid-scale (SGS) modelling is formulated using a local transport of spectral kinetic energy estimated by a wavelet multiresolution analysis. Using a spectrally and spatially local decomposition by wavelet, the unresolved inter-scale energy transfer and modelled SGS dissipation are evaluated to enforce explicitly and optimally their balance a priori over a range of large-eddy simulation (LES) filter widths. The formulation determines SGS model constants that optimally describe the spectral energy balance between the resolved and unresolved scales at a given cutoff scale. The formulation is tested for incompressible homogeneous isotropic turbulence (HIT). One-parameter Smagorinsky- and Vreman-type eddy-viscosity closures are optimised for their model constants. The algorithm discovers the theoretical prediction of Lilly (The representation of small-scale turbulence in numerical simulation experiments. In Proceedings of the IBM Scientific Computing Symposium on Environmental Sciences, pp. 195–210) at a filter cutoff scale in the inertial subrange, whereas the discovered constants deviate from the theoretical value at other cutoff scales so that the spectral optimum is achieved. The dynamic Smagorinsky model used a posteriori shows a suboptimal behaviour at filter scales larger than those in the inertial subrange. A two-parameter Clark-type closure model is optimised. The optimised constants provide evidence that the nonlinear gradient model of Clark et al. (J. Fluid Mech., vol. 91, issue 1, 1979, pp. 1–16) is prone to numerical instability due to its model form, and combining the pure gradient model with a dissipative model such as the classic Smagorinsky model enhances numerical stability but the standard mixed model is not optimal in terms of spectral energy transfer. A posteriori analysis shows that the optimised SGS models produce accurate LES results.

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