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(44 citation statements)

(95 reference statements)

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“…As a reference, figure 5 represents the collinearity between SPOD and eddy resolvent analysis for all wavelengths at λ + t = 200 and λ + t = 1000 for Re τ = 180. It shows that, in agreement with the analysis of turbulent pipe flow by Abreu et al (2020b) (performed for ν-resolvent), the first ν t -resolvent mode predicts well the first SPOD modes for a wide range of wavelengths, especially for elongated modes (λ +…”

confidence: 86%

“…As a reference, figure 5 represents the collinearity between SPOD and eddy resolvent analysis for all wavelengths at λ + t = 200 and λ + t = 1000 for Re τ = 180. It shows that, in agreement with the analysis of turbulent pipe flow by Abreu et al (2020b) (performed for ν-resolvent), the first ν t -resolvent mode predicts well the first SPOD modes for a wide range of wavelengths, especially for elongated modes (λ +…”

confidence: 86%

“…defined similarly as in Cavalieri et al (2013), Lesshafft et al (2019) and Abreu et al (2020b). As a reference, figure 5 represents the collinearity between SPOD and eddy resolvent analysis for all wavelengths at λ + t = 200 and λ + t = 1000 for Re τ = 180.…”

confidence: 99%

“…Considering white-noise forcing, we can see some discrepancies in the amplitudes and in some details of the shapes of the streamwise vortices (v and w components). Despite acknowledging the origin of the forcing terms as arising from triadic interactions, resolvent analysis as formulated by McKeon & Sharma (2010) assumes white-noise forcing statistics, predicting thus streamwise vortices and streaks that are in reasonable agreement with the DNS, although with a mismatch in the relative amplitudes of u, v and w components; similar results were obtained for turbulent pipe flow by Abreu et al (2019). This will be explored in more detail in § 4.1.…”

confidence: 66%

“…In this framework, linear methods such as resolvent analysis (Jovanovic & Bamieh 2005;McKeon & Sharma 2010) and linear transient growth (Butler & Farrell 1992;Schmid & Henningson 2001) are useful to obtain optimal responses from the harmonically forced linearised Navier-Stokes system (resolvent) or the flow structure resulting from a non-modal growth of initial disturbances (linear transient growth). Both analyses, albeit linear, reproduce some experimental trends in both wall-bounded flows (del Álamo & Jiménez 2006;Pujals et al 2009;Abreu et al 2019;Morra et al 2019) and free-shear flows (Schmidt et al 2018;Lesshafft et al 2019). Nevertheless, there are intrinsic limitations to these approaches.…”

confidence: 82%