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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. . (Unpublished)

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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 forcing to the near-field pressure field and the far-field acoustics. 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 observe substantial improvements to the acoustic field reconstructions with the addition of a RANS-derived eddy-viscosity model to the resolvent operator and 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 2dB of the peak noise for both jets.

Item Type:Report or Paper (Discussion Paper)
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 The Authors. 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 (grants No. 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
Record Number:CaltechAUTHORS:20210323-142327998
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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:24 Mar 2021 20:29

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