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Inlet conditions for wave packet models in turbulent jets based on eigenmode decomposition of large eddy simulation data

Rodríguez, Daniel and Sinha, Aniruddha and Brès, Guillaume A. and Colonius, Tim (2013) Inlet conditions for wave packet models in turbulent jets based on eigenmode decomposition of large eddy simulation data. Physics of Fluids, 25 (10). Art. No. 105107. ISSN 1070-6631. doi:10.1063/1.4824479. https://resolver.caltech.edu/CaltechAUTHORS:20131202-084606542

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Abstract

This paper makes contributions towards reduced-order models of wave packets in supersonic, turbulent jets. Wave packets are large-scale turbulent structures that are correlated and advected over distances that are large compared to the integral scales of turbulence, i.e., many jet diameters at the lowest frequencies. They are thought to be responsible for the peak noise radiated at shallow angles to the jet axis. Linear wave packet models based on the Parabolized Stability Equations (PSE) have been shown in the past to be in excellent agreement with statistical structures educed from experimental pressure and velocity data in subsonic jets. Here, we extend these models to supersonic jets and validate them using a Large Eddy Simulation (LES) database for an isothermal and a moderately heated Mach 1.5 turbulent jets. For supersonic jets, inlet conditions for PSE models are ambiguous, as a parallel flow stability analysis shows several unstable modes at the inlet cross section. We develop a bi-orthogonal decomposition and project the LES data onto the relevant families of instability waves. These serve as inlet conditions, including the amplitude and shape functions, for PSE solutions which are then favorably compared to the near-field pressure fields educed from LES.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.4824479DOIArticle
http://scitation.aip.org/content/aip/journal/pof2/25/10/10.1063/1.4824479PublisherArticle
ORCID:
AuthorORCID
Sinha, Aniruddha0000-0002-7122-3549
Brès, Guillaume A.0000-0003-2507-8659
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2013 AIP Publishing LLC. Received 28 March 2013; accepted 24 September 2013; published online 15 October 2013. This work was sponsored in part by the U.S. Navy Naval Air Systems Command (Contract No. N68335-11-C-0026) and by the Office of Naval Research (Grant No. N0014-11-1-0753). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the sponsoring agencies. We would also like to thank Dr. Joseph Nichols from Stanford University, Center for Turbulent Research, for his many helpful comments on this work. D. Rodríguez acknowledges funding from the Marie Curie - COFUND-UNITE programme. The authors thank the anonymous referees for their valuable comments that improved the quality of the paper.
Funders:
Funding AgencyGrant Number
Naval Air Systems Command (NAVAIR)N68335-11-C-0026
Office of Naval Research (ONR)N0014-11-1-0753
Marie Curie FellowshipUNSPECIFIED
Issue or Number:10
DOI:10.1063/1.4824479
Record Number:CaltechAUTHORS:20131202-084606542
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131202-084606542
Official Citation:Inlet conditions for wave packet models in turbulent jets based on eigenmode decomposition of large eddy simulation data Daniel Rodríguez , Aniruddha Sinha , Guillaume A. Brès and Tim Colonius Phys. Fluids 25, 105107 (2013); http://dx.doi.org/10.1063/1.4824479
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42762
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:02 Dec 2013 17:09
Last Modified:10 Nov 2021 16:28

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