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An Analysis of Dispersion and Dissipation Properties of Hermite Methods and Its Application to Direct Numerical Simulation of Jet Noise

Jang, Chang Young and Appelö, Daniel and Colonius, Tim and Hagstrom, Thomas and Inkman, Matthew (2012) An Analysis of Dispersion and Dissipation Properties of Hermite Methods and Its Application to Direct Numerical Simulation of Jet Noise. In: 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference), 4-6 June 2012, Colorado Springs, CO. https://resolver.caltech.edu/CaltechAUTHORS:20190712-112320535

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Abstract

The dissipative and dispersive properties of Hermite methods are analyzed by a modified equation approach and by direct computation of the dispersion relations for the discrete modes of the scheme. The two approaches lead to the same results for well-resolved modes but are quantitatively different at the finest scales. The resolution requirements, obtained from the analysis, for Hermite schemes are compared to those of typical high-resolution difference formulas. The results from the analysis are also used to predict the resolution requirements for a simulation at Re ∼ 3600. The validity of the prediction is confirmed by numerical experiments.


Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription
https://doi.org/10.2514/6.2012-2240DOIConference Paper
https://arc.aiaa.org/doi/10.2514/6.2012-2240PublisherConference Paper
ORCID:
AuthorORCID
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2012 by Daniel Appelö. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Published Online: 11 Nov 2012. This material is based upon work supported, in part, by the National Science Foundation under Grants OCI-0905045 and OCI-0904773 and, in part, by ARO grant W911NF-09-1-0344. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Funders:
Funding AgencyGrant Number
NSFOCI-0905045
NSFOCI-0904773
Army Research Office (ARO)W911NF-09-1-0344
Subject Keywords:Aeroacoustics
Other Numbering System:
Other Numbering System NameOther Numbering System ID
AIAA Paper2012-2240
Record Number:CaltechAUTHORS:20190712-112320535
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190712-112320535
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97098
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:15 Jul 2019 16:58
Last Modified:03 Oct 2019 21:28

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