On spectral linear stochastic estimation

C. E. Tinney, F. Coiffet, J. Delville, A. M. Hall, P. Jordan, Mark N Glauser

Research output: Contribution to journalArticle

91 Citations (Scopus)

Abstract

An extension to classical stochastic estimation techniques is presented, following the formulations of Ewing and Citriniti (1999), whereby spectral based estimation coefficients are derived from the cross spectral relationship between unconditional and conditional events. This is essential where accurate modeling using conditional estimation techniques are considered. The necessity for this approach stems from instances where the conditional estimates are generated from unconditional sources that do not share the same grid subset, or possess different spectral behaviors than the conditional events. In order to filter out incoherent noise from coherent sources, the coherence spectra is employed, and the spectral estimation coefficients are only determined when a threshold value is achieved. A demonstration of the technique is performed using surveys of the dynamic pressure field surrounding a Mach 0.30 and 0.60 axisymmetric jet as the unconditional events, to estimate a combination of turbulent velocity and turbulent pressure signatures as the conditional events. The estimation of the turbulent velocity shows the persistence of compact counter-rotating eddies that grow with quasi-periodic spacing as they convect downstream. These events eventually extend radially past the jet axis where the potential core is known to collapse.

Original languageEnglish (US)
Pages (from-to)763-775
Number of pages13
JournalExperiments in Fluids
Volume41
Issue number5
DOIs
StatePublished - Nov 2006

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coherent sources
dynamic pressure
coefficients
estimates
stems
pressure distribution
Mach number
set theory
counters
Demonstrations
grids
spacing
signatures
vortices
filters
formulations
thresholds

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Computational Mechanics
  • Mechanics of Materials

Cite this

Tinney, C. E., Coiffet, F., Delville, J., Hall, A. M., Jordan, P., & Glauser, M. N. (2006). On spectral linear stochastic estimation. Experiments in Fluids, 41(5), 763-775. https://doi.org/10.1007/s00348-006-0199-5

On spectral linear stochastic estimation. / Tinney, C. E.; Coiffet, F.; Delville, J.; Hall, A. M.; Jordan, P.; Glauser, Mark N.

In: Experiments in Fluids, Vol. 41, No. 5, 11.2006, p. 763-775.

Research output: Contribution to journalArticle

Tinney, CE, Coiffet, F, Delville, J, Hall, AM, Jordan, P & Glauser, MN 2006, 'On spectral linear stochastic estimation', Experiments in Fluids, vol. 41, no. 5, pp. 763-775. https://doi.org/10.1007/s00348-006-0199-5
Tinney CE, Coiffet F, Delville J, Hall AM, Jordan P, Glauser MN. On spectral linear stochastic estimation. Experiments in Fluids. 2006 Nov;41(5):763-775. https://doi.org/10.1007/s00348-006-0199-5
Tinney, C. E. ; Coiffet, F. ; Delville, J. ; Hall, A. M. ; Jordan, P. ; Glauser, Mark N. / On spectral linear stochastic estimation. In: Experiments in Fluids. 2006 ; Vol. 41, No. 5. pp. 763-775.
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