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Instability and Control of Massively Separated Flows pp 85–90Cite as

Proper Orthogonal Decomposition and Dynamic Mode Decomposition of Under-Expanded Free-Jets with Varying Nozzle Pressure Ratios

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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 107))

Abstract

This paper provides an overview of the progress made in a study of the coherent structures of feedback loops found in under-expanded free-jets. In order to gain a better understanding of the topology and dynamics of these structures the proper-orthogonal decomposition (POD) and dynamic mode decomposition (DMD) techniques will be applied to high resolution numerical datasets. We consider a purely convergent under-expanded free jet with nozzle pressure ratios \({NPR}=\left\{ 2.2,2.6\right\} \) and a nozzle lip thickness \(t_n/d=1/3\) where \(d=15\,{\text {mm}}\) is the nozzle diameter. The analysis has shown that DMD is more capable than POD in extracting the structure of instabilities from small datasets which correspond well to the experimental observations.

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References

  1. Bodony D, Lele S (2005) On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets. Phys Fluids 17:85–103

    Google Scholar 

  2. Kitsios V, Buchmann NA, Atkinson CA, Frederiksen JS, Soria J (2013) Recovery of the koopman modes of a leading-edge separated airfoil flow via a proper orthogonal decomposition rank reduction. In: Instability and control of massively separated flows, Prato, Italy

    Google Scholar 

  3. Lilly D (1992) A proposed modification of the germano subgrid-scale closure method. Phys Fluids 4:633

    Article  Google Scholar 

  4. Mitchell D (2013) Aeroacoustic feedback loops in underexpanded supersonic jet flows. PhD thesis, Department of Mechanical and Aerospace Engineering, Monash University

    Google Scholar 

  5. Poinsot T (1992) Boundary conditions for direct simulations of compressible viscous flows. J Comput Phys 99:352

    Article  MathSciNet  Google Scholar 

  6. Raman G (1999) Supersonic jet screech: half-century from powell to the present. J Sound Vib 225(3):543–571

    Article  MathSciNet  Google Scholar 

  7. Schlichting H, Gersten K (2000) Boundary layer theory. Springer

    Google Scholar 

  8. Tam CKW (1995) Supersonic jet noise. Annu Rev Fluid Mech 27:17–43

    Article  Google Scholar 

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Acknowledgments

This research was supported under Australian Research Council’s Discovery Projects funding scheme (project number DP1096474) and was undertaken with the assistance of resources provided at the NCI National Facility systems at the Australian National University through the National Computational Merit Allocation Scheme supported by the Australian Government.

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Authors and Affiliations

  1. Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, VIC, 3800, Australia

    Paul Stegeman & Julio Soria

  2. Department of Mechanical Engineering, University of Melbourne, Parkville, VIC, 3052, Australia

    Andrew Ooi

Authors
  1. Paul Stegeman
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  2. Andrew Ooi
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  3. Julio Soria
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Corresponding author

Correspondence to Paul Stegeman .

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Editors and Affiliations

  1. School of Aerospace Engineering, Technical University of Madrid, Madrid, Spain

    Vassilis Theofilis

  2. Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, VIC, Australia, and Department of Aeronautical Engineering, King Abdulaziz University, Jeddah, Saudi Arabia

    Julio Soria

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Stegeman, P., Ooi, A., Soria, J. (2015). Proper Orthogonal Decomposition and Dynamic Mode Decomposition of Under-Expanded Free-Jets with Varying Nozzle Pressure Ratios. In: Theofilis, V., Soria, J. (eds) Instability and Control of Massively Separated Flows. Fluid Mechanics and Its Applications, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-06260-0_12

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  • DOI: https://doi.org/10.1007/978-3-319-06260-0_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06259-4

  • Online ISBN: 978-3-319-06260-0

  • eBook Packages: EngineeringEngineering (R0)

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