DDES Study of Confined and Unconfined NACA Wing Sections Using Spectral Elements

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Main Authors: Kumar, Vishal, Tomboulides, Ananias, Fischer, Paul, Min, Misun
Format: Preprint
Published: 2024
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author Kumar, Vishal
Tomboulides, Ananias
Fischer, Paul
Min, Misun
author_facet Kumar, Vishal
Tomboulides, Ananias
Fischer, Paul
Min, Misun
contents We develop hybrid RANS-LES strategies within the spectral element code Nek5000 based on the $k-τ$ class of turbulence models. We chose airfoil sections at small flight configurations as our target problem to comprehensively test the solver accuracy and performance. We present verification and validation results of an unconfined NACA0012 wing section in a pure RANS and in a hybrid RANS-LES setup for an angle of attack ranging from 0 to 90 degrees. The RANS results shows good corroboration with existing experimental and numerical datasets for low incoming flow angles. A small discrepancy appears at higher angle in comparison with the experiments, which is in line with our expectations from a RANS formulation. On the other hand, DDES captures both the attached and separated flow dynamics well when compared with available numerical datasets. We demonstrate that for the hybrid turbulence modeling approach a high-order spectral element discretization converges faster (i.e., with less resolution) and captures the flow dynamics more accurately than representative low-order finite-volume and finite-difference approaches. We also revise some of the guidelines on sample size requirements for statistics convergence. Furthermore, we analyze some of the observed discrepancies of our unconfined DDES at higher angles with the experiments by evaluating the side wall "blocking" effect. We carry out additional simulations in a confined 'numerical wind tunnel' and assess the observed differences as a function of Reynolds number.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05561
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle DDES Study of Confined and Unconfined NACA Wing Sections Using Spectral Elements
Kumar, Vishal
Tomboulides, Ananias
Fischer, Paul
Min, Misun
Computational Engineering, Finance, and Science
35-4
G.4; I.6
We develop hybrid RANS-LES strategies within the spectral element code Nek5000 based on the $k-τ$ class of turbulence models. We chose airfoil sections at small flight configurations as our target problem to comprehensively test the solver accuracy and performance. We present verification and validation results of an unconfined NACA0012 wing section in a pure RANS and in a hybrid RANS-LES setup for an angle of attack ranging from 0 to 90 degrees. The RANS results shows good corroboration with existing experimental and numerical datasets for low incoming flow angles. A small discrepancy appears at higher angle in comparison with the experiments, which is in line with our expectations from a RANS formulation. On the other hand, DDES captures both the attached and separated flow dynamics well when compared with available numerical datasets. We demonstrate that for the hybrid turbulence modeling approach a high-order spectral element discretization converges faster (i.e., with less resolution) and captures the flow dynamics more accurately than representative low-order finite-volume and finite-difference approaches. We also revise some of the guidelines on sample size requirements for statistics convergence. Furthermore, we analyze some of the observed discrepancies of our unconfined DDES at higher angles with the experiments by evaluating the side wall "blocking" effect. We carry out additional simulations in a confined 'numerical wind tunnel' and assess the observed differences as a function of Reynolds number.
title DDES Study of Confined and Unconfined NACA Wing Sections Using Spectral Elements
topic Computational Engineering, Finance, and Science
35-4
G.4; I.6
url https://arxiv.org/abs/2410.05561