Amplification of coherent streaks in the turbulent Couette flow: an input–output analysis at low Reynolds number

By Y. Hwang, C. Cossu. Journal of Fluid Mechanics, 2010

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The lift-up effect : The linear mechanism behind transition and turbulence in shear flows (2014, background): “If, instead of the optimal temporal growth, the optimal response to stochastic or harmonic forcing are considered, the same double-peaked amplification curve is obtained when pre-multiplied respectively by the spanwise wavenumber and its square (Hwang and Cossu, 2010b).”
The engine behind (wall) turbulence: perspectives on scale interactions (2017, methodology): “…been extended to different flow configurations, including other canonical flows of relevance to this review, namely zero pressure gradient turbulent boundary layers under the quasi-parallel assumption (Cossu, Pujals & Depardon 2009) and Couette flow (Hwang & Cossu 2010a), with equivalent success.”
Colour of turbulence (2016, methodology): “This model was also used to study the optimal response to initial conditions and body forcing fluctuations in turbulent channel (Hwang & Cossu 2010b) and Couette flows (Hwang & Cossu 2010a), and served as the basis for model-based control design in turbulent channel flow (Moarref & Jovanović 2012).”
Linear non-normal energy amplification of harmonic and stochastic forcing in the turbulent channel flow (2010, methodology): “Following Reynolds & Hussain (1972), del Álamo & Jiménez (2006), Pujals et al. (2009), Cossu et al. (2009) and Hwang & Cossu (2010), we have used a linear model including eddy viscosity for the dynamics of coherent perturbations.”