The distributions of turbulent scales in a Mach 0.9 isothermal round jet are investigated for the purpose of developing linear surface-based models for the noise source that can be informed by a Reynolds-averaged Navier–Stokes (RANS) solution of the flowfield. The jet is calculated by large-eddy simulation (LES), which enables the computation of two-point space–time correlations throughout the jet and its near-acoustic field. Time, length, and convective-velocity scales are examined on the surface of peak Reynolds stress (SPS), representing the location of the most energetic eddies, and on a “radiator surface” at the boundary between the rotational and irrotational fields. The nature of the space–time correlations is different for axial velocity fluctuations and pressure fluctuations. Velocity-based correlations appear to capture localized turbulent events, whereas pressure-based correlations appear dominated by the interaction of large eddies with the surrounding potential flow. The correlation length scales are larger on the radiator surface than on the SPS, thus indicating that small-scale eddies do not make a significant imprint on the radiator surface. The scales associated with an emulated RANS solution of the flow are compared to the LES-based scales. Simple relationships are inferred that may aid the development of rapid predictive models.

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Volume 60, Number 3March 2022

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Copyright © 2021 by Andres Adam, Dimitri Papamoschou, and Christophe Bogey. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-385X to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.

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Acknowledgments

We gratefully acknowledge a Balsells Fellowship that partially supported A. Adam. C. Bogey was partially supported by the LABEX CeLyA (ANR-10-LABX-0060/ANR-16-IDEX-0005). The jet simulations have been performed using High Performance Computing (HPC) resources from the Pole of Modeling and Computing in Engineering and Information Sciences of the University of Lyon and from the Institute of Scientific Informatics Development and Resources under allocation 2020-2a0204 made by Large National High Performance Equipment.

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Received18 June 2021
Accepted24 August 2021
Published online5 November 2021

Imprint of Vortical Structures on the Near-Field Pressure of a Turbulent Jet

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