Spatio-temporal proper orthogonal decomposition of turbulent channel flow

Abstract : An extension of proper orthogonal decomposition is applied to the wall layer of aturbulent channel flow (Reτ=590), so that empirical eigenfunctions are defined inboth space and time. Due to the statistical symmetries of the flow, the eigenfunctionsare associated with individual wavenumbers and frequencies. Self-similarity of thedominant eigenfunctions, consistent with wall-attached structures transferring energyinto the core region, is established. The most energetic modes are characterizedby a fundamental time scale in the range 200–300 viscous wall units. The fullspatio-temporal decomposition provides a natural measure of the convection velocityof structures, with a characteristic value of 12uτin the wall layer. Finally, we showthat the energy budget can be split into specific contributions for each mode, whichprovides a closed-form expression for nonlinear effects
Keywords : POD Turbulence
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Contributor : Limsi Publications <>
Submitted on : Monday, July 1, 2019 - 4:30:06 PM
Last modification on : Monday, February 10, 2020 - 6:14:08 PM

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  • HAL Id : hal-02170063, version 1

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Srikanth Derebail Muralidhar, Bã©rengã¨re Podvin, Lionel Mathelin, Yann Fraigneau. Spatio-temporal proper orthogonal decomposition of turbulent channel flow. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2019, 864, pp.614-639. ⟨hal-02170063⟩

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