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Resolvent Analysis: With or Without Eddy Viscosity?

Abstract : In this study, estimations of the spatio-temporal power cross-spectral density based on the resolvent operator are compared to those obtained by direct numerical simulation (DNS) in the turbulent plane channel flow at Re τ = 1007 by analysing separately the contribution of each temporal frequency ω. The comparison is performed for spatial scales characteristic of buffer-layer and large-scale motions. Good agreement between the resolvent-based estimates and the statistics obtained by DNS is found when the resolvent operator is based on a linear model which includes the effect of an eddy-viscosity modelling the effect of turbulent Reynolds stresses. The agreement is further improved when a colored noise matching the measures is used instead of white noise in the forcing modelling. Such a good agreement is not observed when the eddy-viscosity terms are not included in the linear model. In this case, the estimation based on the resolvent is unable to select the right peak frequency and wall-normal location of buffer-layer motions.
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https://hal.archives-ouvertes.fr/hal-02348082
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Submitted on : Tuesday, November 5, 2019 - 12:25:54 PM
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  • HAL Id : hal-02348082, version 1

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P Morra, O Semeraro, D Henningson, Carlo Cossu. Resolvent Analysis: With or Without Eddy Viscosity?. ERCOFTAC Bulletin, European Research Community on Flow, Turbulence And Combustion, 2019, 118, pp.20. ⟨hal-02348082⟩

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