2020
DOI: 10.1017/jfm.2020.918
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Forcing statistics in resolvent analysis: application in minimal turbulent Couette flow

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Cited by 42 publications
(51 citation statements)
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References 67 publications
(163 reference statements)
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“…We note that similar instances of destructive interference have been observed by other authors such as Nogueira et al. (2021) in their analysis of forcing statistics in PCF and Rosenberg & McKeon (2019 b ) in their interpretation of the Orr–Sommerfeld/Squire decomposition of the resolvent operator.
Figure 9.Projections of the velocity due to individual triadic interactions onto the full Fourier mode summed over common wavenumbers at (red diamonds), (blue squares) and (black circles).
…”
Section: Resultssupporting
confidence: 86%
See 1 more Smart Citation
“…We note that similar instances of destructive interference have been observed by other authors such as Nogueira et al. (2021) in their analysis of forcing statistics in PCF and Rosenberg & McKeon (2019 b ) in their interpretation of the Orr–Sommerfeld/Squire decomposition of the resolvent operator.
Figure 9.Projections of the velocity due to individual triadic interactions onto the full Fourier mode summed over common wavenumbers at (red diamonds), (blue squares) and (black circles).
…”
Section: Resultssupporting
confidence: 86%
“…(2021) and Nogueira et al. (2021) have directly computed the nonlinear forcing statistics for minimal channel and Couette flow respectively, and analysed the efficacy of low-rank resolvent reconstructions in capturing the relevant dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…2021; Nogueira et al. 2021). Nonetheless, if the resolvent operator has significant gain separation, studied in detail in § 4, the leading response mode from resolvent analysis is expected to be close to the first SPOD mode regardless of the specific details of the forcing, as the much larger gain of the first mode leads to its dominance in the fluctuation statistics (Beneddine et al.…”
Section: Introductionmentioning
confidence: 99%
“…2017; Nogueira et al. 2021), we still keep the simplification of white-in-time forcing in the present study. This is because the inclusion of the eddy viscosity term in the linear models approximately plays the same role as the colour in the forcing statistics (Zare et al.…”
Section: Design Of Ns-based Linear Modelsmentioning
confidence: 99%
“…Although the colour of the forcing statistics is important (Nogueira et al. 2021; Zare, Jovanović & Georgiou 2017), the inclusion of the eddy viscosity term in (1.5) partly compensates for the lack of colour in the white-in-time forcing as noted by Zare et al. (2017) and Morra et al.…”
Section: Introductionmentioning
confidence: 99%