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Direct numerical simulations of a statistically stationary streamwise periodic boundary layer via the homogenized Navier-Stokes equations

Ruan, Joseph and Blanquart, Guillaume (2021) Direct numerical simulations of a statistically stationary streamwise periodic boundary layer via the homogenized Navier-Stokes equations. Physical Review Fluids, 6 (2). Art. No. 024602. ISSN 2469-990X. https://resolver.caltech.edu/CaltechAUTHORS:20210208-144010941

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Abstract

We demonstrate a method for direct numerical simulations (DNS) of incompressible, flat-plate, zero pressure gradient, turbulent boundary layers, without the use of auxiliary simulations or fringe regions, in a streamwise periodic domain via the homogenized Navier-Stokes equations. This approach is inspired by Spalart's original (1987) method, but improves upon his drawbacks while simplifying the implementation. Most simulations of flat-plate boundary layers require long streamwise domains owing to the slow boundary layer growth and inflow generation techniques. Instead, we use anticipated self-similarity to solve the equations in a normalized coordinate system to allow for streamwise periodicity, similar to Spalart's original method. The resulting integral values, the skin friction coefficient and shape factor, H₁₂ and C_f, are within ± 1% and ± 3% of the empirical fits. The mean profiles show good agreement with spatially developing DNS and experimental results for a wide range of Reynolds numbers from Re_(δ∗) = 1460 to 5650. The method manages to reduce computational costs by an estimated one to two orders of magnitude.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevfluids.6.024602DOIArticle
ORCID:
AuthorORCID
Ruan, Joseph0000-0002-9110-0458
Blanquart, Guillaume0000-0002-5074-9728
Additional Information:© 2021 American Physical Society. (Received 4 February 2020; accepted 6 January 2021; published 5 February 2021) The authors acknowledge the Texas Advanced Computing Center (TACC) at The University of Texas at Austin for providing computing resources that have contributed to the research results reported within this paper.
Issue or Number:2
Record Number:CaltechAUTHORS:20210208-144010941
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210208-144010941
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107960
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:09 Feb 2021 15:02
Last Modified:09 Feb 2021 15:02

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