Resolvent modelling of subsonic jet noise

When jet noise is cast in the form of a linear input–output problem, the cross-spectral-density (CSD) matrix of the sound field is forced by the CSD of nonlinear interactions via the resolvent operator. The forcing CSD is difficult to compute or measure, but its projection onto the resolvent input space can be identified from the CSD of the sound field. We performed two-point acoustic measurements in isothermal turbulent jets over a broad range of subsonic Mach numbers. The CSD matrices are used to obtain an empirical model of the forcing-projection matrix. We investigate the parametric dependence of this low-rank forcing-projection matrix on Mach number, frequency and azimuthal mode, and we propose an empirical model that captures downstream radiation with 2 dB precision for subsonic jets.

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Publication Details

Journal
Journal of Fluid Mechanics
Published
2026-11-03
DOI
https://doi.org/10.1017/jfm.2026.12183
Primary Topic
Aerodynamics and Acoustics in Jet Flows
Type
article
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article

Resolvent modelling of subsonic jet noise

Peter Jordan, Tim Colonius, Ethan M. Pickering, Lutz Lesshafft et al.
Journal of Fluid Mechanics
Aerodynamics and Acoustics in Jet Flows
article

Resolvent modelling of subsonic jet noise

Peter Jordan, Tim Colonius, Ethan M. Pickering, Lutz Lesshafft, Ugur Karban, Barbara Gramiscelli Hasparyk
article en

Abstract

When jet noise is cast in the form of a linear input–output problem, the cross-spectral-density (CSD) matrix of the sound field is forced by the CSD of nonlinear interactions via the resolvent operator. The forcing CSD is difficult to compute or measure, but its projection onto the resolvent input space can be identified from the CSD of the sound field. We performed two-point acoustic measurements in isothermal turbulent jets over a broad range of subsonic Mach numbers. The CSD matrices are used to obtain an empirical model of the forcing-projection matrix. We investigate the parametric dependence of this low-rank forcing-projection matrix on Mach number, frequency and azimuthal mode, and we propose an empirical model that captures downstream radiation with 2 dB precision for subsonic jets.

Journal of Fluid MechanicsVol. 1046
California Institute of Technology (US), Centre National de la Recherche Scientifique (FR), École Polytechnique (FR), École Nationale Supérieure de Mécanique et d'Aérotechnique (FR), Middle East Technical University (TR), Université de Poitiers (FR), Laboratoire d'Hydrodynamique de l'École polytechnique (FR), Institut Polytechnique de Paris (FR), Massachusetts Institute of Technology (US)
Openalex Percentile: Top 20%
Aerodynamics and Acoustics in Jet Flows
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Resolvent modelling of subsonic jet noise — Peter Jordan, Tim Colonius, et al. · Journal of Fluid Mechanics (2026) | TGRS Research Map | TGRS