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Resolvent-based modeling of turbulent jet noise

Pickering, Ethan and Towne, Aaron and Jordan, Peter and Colonius, Tim (2021) Resolvent-based modeling of turbulent jet noise. Journal of the Acoustical Society of America, 150 (4). pp. 2421-2433. ISSN 0001-4966. doi:10.1121/10.0006453.

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Resolvent analysis has demonstrated encouraging results for modeling coherent structures in jets when compared against their data-educed counterparts from high-fidelity large-eddy simulations (LES). We formulate resolvent analysis as an acoustic analogy that relates the near-field resolvent forcing to the near- and far-field pressure. We use an LES database of round, isothermal, Mach 0.9 and 1.5 jets to produce an ensemble of realizations for the acoustic field that we project onto a limited set of resolvent modes. In the near-field, we perform projections on a restricted acoustic output domain, r/D = [5,6], while the far-field projections are performed on a Kirchhoff surface comprising a 100-diameter arc centered at the nozzle. This allows the LES realizations to be expressed in the resolvent basis via a data-deduced, low-rank, cross-spectral density matrix. We find that a single resolvent mode reconstructs the most energetic regions of the acoustic field across Strouhal numbers, St = [0−1], and azimuthal wavenumbers, m = [0,2]. Finally, we present a simple function that results in a rank-1 resolvent model agreeing within 2 dB of the peak noise for both jets.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Pickering, Ethan0000-0002-4485-6359
Towne, Aaron0000-0002-7315-5375
Jordan, Peter0000-0001-8576-5587
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2021 Acoustical Society of America. Received 16 March 2021; revised 3 September 2021; accepted 9 September 2021; published online 6 October 2021. The authors would like to thank André Cavalieri, Oliver Schmidt, and Georgios Rigas for many productive discussions on topics related to this paper. This research was supported by a grant from the Office of Naval Research (Grant Nos. N00014-16-1-2445 and N00014-20-1–2311) with Dr. Steven Martens as program manager. E.P. was supported by the Department of Defense (DoD) through the National Defense Science & Engineering Graduate Fellowship (NDSEG) Program. P.J. acknowledges funding from the Clean Sky 2 Joint Undertaking (JU) under the European Union's Horizon 2020 research and innovation programme under Grant Agreement No. 785303. Results reflect only the authors' views and the JU is not responsible for any use that may be made of the information it contains. The LES study was performed at Cascade Technologies, with support from ONR and NAVAIR SBIR project, under the supervision of Dr. John T. Spyropoulos. The main LES calculations were carried out on DoD HPC systems in ERDC DSRC.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-16-1-2445
Office of Naval Research (ONR)N00014-20-1-2311
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
European Research Council (ERC)785303
Issue or Number:4
Record Number:CaltechAUTHORS:20210323-142327998
Persistent URL:
Official Citation:Ethan Pickering, Aaron Towne, Peter Jordan, and Tim Colonius , "Resolvent-based modeling of turbulent jet noise", The Journal of the Acoustical Society of America 150, 2421-2433 (2021)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108534
Deposited By: Tony Diaz
Deposited On:24 Mar 2021 20:29
Last Modified:26 Oct 2021 23:12

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