Coherent structure extraction in turbulent channel flow using boundary adapted wavelets

Teluo Sakurai, Katsunori Yoshimatsu, Kai Schneider, Marie Farge, Koji Morishita, Takashi Ishihara

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We introduce boundary adapted wavelets, which are orthogonal and have the same scale in the three spatial directions. The construction thus yields a multiresolution analysis. We analyse direct numerical simulation data of turbulent channel flow computed at a friction Reynolds number of 395, and investigate the role of coherent vorticity. Thresholding of the vorticity wavelet coefficients allows us to split the flow into two parts, coherent and incoherent flows. The coherent vorticity is reconstructed from its few intense wavelet coefficients and the coherent velocity is reconstructed using Biot–Savart's law. The statistics of the coherent flow, i.e. energy and enstrophy spectra, are close to the statistics of the total flow, and moreover, the nonlinear energy budgets of the total flow are very well preserved. The remaining incoherent part, represented by the large majority of the weak wavelet coefficients, corresponds to a structureless, i.e. noise-like, background flow whose energy is equidistributed.

Original languageEnglish
Pages (from-to)352-372
Number of pages21
JournalJournal of Turbulence
Volume18
Issue number4
DOIs
Publication statusPublished - Apr 3 2017
Externally publishedYes

Fingerprint

channel flow
Channel flow
Vorticity
vorticity
Statistics
Multiresolution analysis
Direct numerical simulation
Reynolds number
coefficients
statistics
Friction
energy budgets
background noise
direct numerical simulation
energy spectra
friction

Keywords

  • coherent structure
  • direct numerical simulation
  • Turbulent channel flow
  • wavelet

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

Coherent structure extraction in turbulent channel flow using boundary adapted wavelets. / Sakurai, Teluo; Yoshimatsu, Katsunori; Schneider, Kai; Farge, Marie; Morishita, Koji; Ishihara, Takashi.

In: Journal of Turbulence, Vol. 18, No. 4, 03.04.2017, p. 352-372.

Research output: Contribution to journalArticle

Sakurai, Teluo ; Yoshimatsu, Katsunori ; Schneider, Kai ; Farge, Marie ; Morishita, Koji ; Ishihara, Takashi. / Coherent structure extraction in turbulent channel flow using boundary adapted wavelets. In: Journal of Turbulence. 2017 ; Vol. 18, No. 4. pp. 352-372.
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