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Proper orthogonal decomposition on compressed data
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-9627-5903
2017 (English)In: 10th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2017, International Symposium on Turbulence and Shear Flow Phenomena, TSFP10 , 2017, Vol. 1Conference paper (Refereed)
Abstract [en]

The main approach to identifying coherent structures in a flow field is the Proper Orthogonal Decomposition, due to its simplicity and effectiveness. However it is a data intensive method which becomes more expensive as the data field increases in size. The difficulty pertains mostly when a three-dimensional decomposition is performed, and the limiting factor is storing and loading large data fields of up to billions of gridpoints. This restriction is a conseuqence of the fact that the I/O bandwidth of supercomputers has not been at the same developmental pace as the CPUs. Lossy compression can reduce the size of the data fields and accelerate the computations. The strategy we suggest here relies on data compression via Discrete Chebyshev Transform (or alternatively Discrete Legendre Transform) which leaves invariant the auto-correlation matrix which lies at the core of the POD method. We show that by discarding over 90% of the data we can still retrieve a good proper ortohonal basis of the data set which deviates from the original by 10-2 in the L2 norm.

Place, publisher, year, edition, pages
International Symposium on Turbulence and Shear Flow Phenomena, TSFP10 , 2017. Vol. 1
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-217849Scopus ID: 2-s2.0-85033226022OAI: oai:DiVA.org:kth-217849DiVA, id: diva2:1159416
Conference
10th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2017, Swissotel, Chicago, United States, 6 July 2017 through 9 July 2017
Note

QC 20171122

Available from: 2017-11-22 Created: 2017-11-22 Last updated: 2017-11-22Bibliographically approved

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Schlatter, Philipp

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf