A Caltech Library Service

Parabolized stability equation models of large-scale jet mixing noise

Colonius, Tim and Samanta, Arnab and Gudmundsson, Kristjan (2010) Parabolized stability equation models of large-scale jet mixing noise. In: IUTAM Symposium on Computational Aero-Acoustics for Aircraft Noise Prediction. Procedia Engineering. No.6. Elsevier , Amsterdam, pp. 64-73. ISBN 700962558.

PDF - Published Version
Creative Commons Attribution Non-commercial No Derivatives.


Use this Persistent URL to link to this item:


We report on the development of parabolized stability equation models to predict the evolution of low frequencies, large-scale wavepacket structures in turbulent jets and their radiated sound. We consider computations and data corresponding to high subsonic and supersonic jets from circular nozzles. Previous methods are extended to consider nonlinear interactions amongst the waves and use a Kirchhoff-surface type approach to project the near-field wavepacket amplitudes to the far-field. Linear PSE, whose initial conditions are chosen to provide an overall amplitude reference, show excellent agreement for the wavepacket amplitudes and phases with microphone array data just outside the jet shear layers, especially when the microphone data are processed to filter out contributions from uncorrelated fluctuations. Far-field sound predictions based on the linear PSE are also in reasonable agreement with far-field data. In order to investigate nonlinearity, we use an LES database to evaluate initial conditions for the PSE modes, and then compare their later evolution along the jet. Preliminary cases show some sensitivity to the initial amplitudes and their phases, and that nonlinear effects may be important in predicting the far-field sound based on the initial (near-nozzle) spectrum of disturbances.

Item Type:Book Section
Related URLs:
URLURL TypeDescription DOIArticle
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2010 Published by Elsevier Ltd. Under a Creative Commons license (Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)). Available online 7 October 2010. This work was supported by NAVAIR through an SBIR contract to TTC Technologies, Inc., and through an STTR contract to CASCADE Technologies, Inc. The technical monitor was Dr. John Spyropoulos. We would like to thank the TTC and CASCADE teams for their collaboration and for sharing data presented in this paper. The authors would like to specially thank Drs. Robert Schlinker and Ramons Reba of United Technologies Research Center for their extensive help and collaborations over many years, and for the experimental data used in this paper.
Funding AgencyGrant Number
Naval Air Systems Command (NAVAIR)UNSPECIFIED
Subject Keywords:jet noise; parabolized stability equations; instability wave; turbulent jet
Series Name:Procedia Engineering
Issue or Number:6
Record Number:CaltechAUTHORS:20110318-153515340
Persistent URL:
Official Citation:Tim Colonius, Arnab Samanta, Kristjan Gudmundsson, Parabolized stability equation models of large-scale jet mixing noise, Procedia Engineering, Volume 6, IUTAM Symposium on Computational Aero-Acoustics for Aircraft Noise Prediction, IUTAM Symposium on Computational Aero-Acoustics for Aircraft Noise Prediction, 2010, Pages 64-73, ISSN 1877-7058, DOI: 10.1016/j.proeng.2010.09.008. (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22993
Deposited By: Tony Diaz
Deposited On:18 Mar 2011 22:48
Last Modified:03 Oct 2019 02:42

Repository Staff Only: item control page