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Error estimation of a homogenized streamwise periodic boundary layer

Ruan, Joseph and Blanquart, Guillaume (2021) Error estimation of a homogenized streamwise periodic boundary layer. Physical Review Fluids, 6 (11). Art. No. 114604. ISSN 2469-990X. doi:10.1103/physrevfluids.6.114604.

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An analysis was conducted of the transpiration velocity of the streamwise periodic simulation of the turbulent flat plate boundary layer. As an often imposed quantity in numerical simulation, the transpiration velocity plays an important role in the shape of the wall-normal profile near the outer layer. Unlike other simulation frameworks which impose the transpiration velocity, the recently proposed framework [Ruan and Blanquart, Phys. Rev. Fluids 6, 024602 (2021)] relies on a single-scale rescaling of the wall-normal coordinate to perform streamwise periodic boundary layer simulations. The current manuscript highlights that any error in the transpiration velocity from these simulations is due to a difference in inner and outer layer growth rates. A new multiscale framework to compensate for these differing growth rates is proposed and verified but ultimately has negligible impact on the mean profiles and turbulent intensities. These remain in excellent agreement with previously published values. It is shown that any error in the mean continuity equation expresses itself primarily as an error in transpiration velocity, which decreases with Reynolds number. Overall, the error in the transpiration velocity can be used to quantify the error in single-scale, streamwise periodic simulations.

Item Type:Article
Related URLs:
URLURL TypeDescription
Ruan, Joseph0000-0002-9110-0458
Blanquart, Guillaume0000-0002-5074-9728
Additional Information:© 2021 American Physical Society. (Received 5 March 2021; accepted 5 October 2021; published 29 November 2021)
Issue or Number:11
Record Number:CaltechAUTHORS:20211130-211842779
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112096
Deposited By: George Porter
Deposited On:30 Nov 2021 21:26
Last Modified:30 Nov 2021 21:26

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