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Resolvent-based jet noise models: a projection approach

Pickering, Ethan M. and Towne, Aaron and Jordan, Peter and Colonius, Tim (2020) Resolvent-based jet noise models: a projection approach. In: AIAA Scitech 2020 Forum. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2020-0999. ISBN 978-1-62410-595-1.

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Linear resolvent analysis has demonstrated encouraging results for modeling coherent structures in jets when compared against their data-deduced counterparts from high-fidelity large-eddy simulations (LES). However, leveraging resolvent modes for reconstructing statistics of the far acoustic field remains elusive. In this study, we use a LES database to produce an ensemble of realizations for the acoustic field that we project on to a limited set of n resolvent modes. The projections are done on a restricted acoustic output domain, r/D= [5,6], and allow for the LES realizations to be recast in the resolvent basis via a data-deduced, low-rank, n x n cross-spectral density matrix. We find substantial improvements to the acoustic field reconstructions with the addition of a RANS-derived eddy-viscosity model to the resolvent operator. The reconstructions quantitatively match the most energetic regions of the acoustic field across Strouhal numbers, St= [0−1], and azimuthal wavenumbers, m= [0,2], using only three resolvent modes. Finally, the characteristics of the resulting n x n covariance matrices are examined and suggest off-diagonal terms may be neglected for n ≤ 3. Results are presented for round, isothermal, Mach 1.5 and 0.9 jets.

Item Type:Book Section
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URLURL TypeDescription
Pickering, Ethan M.0000-0002-4485-6359
Towne, Aaron0000-0002-7315-5375
Jordan, Peter0000-0001-8576-5587
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2020 by Ethan Pickering, Tim Colonius, Peter Jordan, Aaron Towne. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. 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 No. N00014-16-1-2445) 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. 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
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
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AIAA Paper2020-0999
Record Number:CaltechAUTHORS:20211008-210432594
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Official Citation:Ethan M. Pickering, Aaron Towne, Peter Jordan and Tim Colonius. "Resolvent-based jet noise models: a projection approach," AIAA 2020-0999. AIAA Scitech 2020 Forum. January 2020.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111299
Deposited By: George Porter
Deposited On:08 Oct 2021 22:21
Last Modified:08 Oct 2021 22:21

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