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Title: Investigating the Effect of the Closure in Partially-Averaged Navier–Stokes Equations

Abstract

For this study, the importance of the turbulence closure to the modeling accuracy of the partially-averaged Navier–Stokes equations (PANS) is investigated in prediction of the flow around a circular cylinder at Reynolds number of 3900. A series of PANS calculations at various degrees of physical resolution is conducted using three Reynolds-averaged Navier–Stokes equations (RANS)-based closures: the standard, shear-stress transport (SST), and turbulent/nonturbulent (TNT) k–ω models. The latter is proposed in this work. The results illustrate the dependence of PANS on the closure. At coarse physical resolutions, a narrower range of scales is resolved so that the influence of the closure on the simulations accuracy increases significantly. Among all closures, PANS–TNT achieves the lowest comparison errors. The reduced sensitivity of this closure to freestream turbulence quantities and the absence of auxiliary functions from its governing equations are certainly contributing to this result. It is demonstrated that the use of partial turbulence quantities in such auxiliary functions calibrated for total turbulent (RANS) quantities affects their behavior. On the other hand, the successive increase of physical resolution reduces the relevance of the closure, causing the convergence of the three models toward the same solution. Finally, this outcome is achieved once the physical resolutionmore » and closure guarantee the precise replication of the spatial development of the key coherent structures of the flow.« less

Authors:
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Instituto Superior Técnico, Lisbon (Portugal)
  3. Maritime Research Institute Netherlands, Wageningen (The Netherlands)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1529540
Report Number(s):
LA-UR-18-30333
Journal ID: ISSN 0098-2202
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Fluids Engineering
Additional Journal Information:
Journal Volume: 141; Journal Issue: 12; Journal ID: ISSN 0098-2202
Publisher:
ASME
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; PANS; closure; Validation

Citation Formats

Pereira, Filipe S., Eça, Luís, and Vaz, Guilherme. Investigating the Effect of the Closure in Partially-Averaged Navier–Stokes Equations. United States: N. p., 2019. Web. doi:10.1115/1.4043539.
Pereira, Filipe S., Eça, Luís, & Vaz, Guilherme. Investigating the Effect of the Closure in Partially-Averaged Navier–Stokes Equations. United States. doi:10.1115/1.4043539.
Pereira, Filipe S., Eça, Luís, and Vaz, Guilherme. Mon . "Investigating the Effect of the Closure in Partially-Averaged Navier–Stokes Equations". United States. doi:10.1115/1.4043539. https://www.osti.gov/servlets/purl/1529540.
@article{osti_1529540,
title = {Investigating the Effect of the Closure in Partially-Averaged Navier–Stokes Equations},
author = {Pereira, Filipe S. and Eça, Luís and Vaz, Guilherme},
abstractNote = {For this study, the importance of the turbulence closure to the modeling accuracy of the partially-averaged Navier–Stokes equations (PANS) is investigated in prediction of the flow around a circular cylinder at Reynolds number of 3900. A series of PANS calculations at various degrees of physical resolution is conducted using three Reynolds-averaged Navier–Stokes equations (RANS)-based closures: the standard, shear-stress transport (SST), and turbulent/nonturbulent (TNT) k–ω models. The latter is proposed in this work. The results illustrate the dependence of PANS on the closure. At coarse physical resolutions, a narrower range of scales is resolved so that the influence of the closure on the simulations accuracy increases significantly. Among all closures, PANS–TNT achieves the lowest comparison errors. The reduced sensitivity of this closure to freestream turbulence quantities and the absence of auxiliary functions from its governing equations are certainly contributing to this result. It is demonstrated that the use of partial turbulence quantities in such auxiliary functions calibrated for total turbulent (RANS) quantities affects their behavior. On the other hand, the successive increase of physical resolution reduces the relevance of the closure, causing the convergence of the three models toward the same solution. Finally, this outcome is achieved once the physical resolution and closure guarantee the precise replication of the spatial development of the key coherent structures of the flow.},
doi = {10.1115/1.4043539},
journal = {Journal of Fluids Engineering},
number = 12,
volume = 141,
place = {United States},
year = {2019},
month = {6}
}

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