Published November 11, 2012
| Version Submitted
Conference Paper
Open
An Analysis of Dispersion and Dissipation Properties of Hermite Methods and Its Application to Direct Numerical Simulation of Jet Noise
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1.
Southern Methodist University
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2.
University of New Mexico
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3.
California Institute of Technology
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.
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.Attached Files
Submitted - JangAppeloeColoniusEtAl2012.pdf
Files
JangAppeloeColoniusEtAl2012.pdf
Additional details
Identifiers
- Eprint ID
- 97098
- Resolver ID
- CaltechAUTHORS:20190712-112320535
Funding
- NSF
- OCI-0905045
- NSF
- OCI-0904773
- Army Research Office (ARO)
- W911NF-09-1-0344
Dates
- Created
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2019-07-15Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
Caltech Custom Metadata
- Other Numbering System Name
- AIAA Paper
- Other Numbering System Identifier
- 2012-2240