Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations

By Paolo Luchini. Journal of Fluid Mechanics, 2000

532 citations recorded by the source corpus.

Subfields: Computational Mechanics, Global and Planetary Change, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/0011b23303dc26aedeb14bc9faa5398dca9f9804

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Citations in the corpus

Global two-dimensional stability measures of the flat plate boundary-layer flow (2008, methodology): “Alternative ways of computing the optimal initial condition are by calculus of variations [9] or by time-marching/space-marching algorithms involving the adjoint operator [12,13].”
Modal Analysis of Fluid Flows: An Overview (2017, background): “Systems that are non-normal can exhibit significant growth of linear combinations of modal perturbations, known as transient growth, a phenomenon which may occur even when the global modes are all stable [33, 36, 150].”
The lift-up effect : The linear mechanism behind transition and turbulence in shear flows (2014, background): “From theoretical analyses, it is shown that the upstream perturbations which undergo the largest possible downstream growth consist of streamwise counter-rotating vortex pairs at the plate leading edge, see Andersson et al. (1999); Luchini (2000).”
The instability and breakdown of a near-wall low-speed streak (2002, background): “Through solving an optimization problem for the development of low-speed streaks under specic constraints on the initial conditions for disturbances involving cross-stream velocity perturbations, Andersson, Berggren & Henningson (1999) and Luchini (2000) proposed that stationary or low-frequency s”
Simulations of bypass transition (2001, background): “A linear theory of streaks in laminar flow has been developed by Butler & Farrell (1992), Andersson, Berggren & Henningson (1999), Luchini (2000) and others. These authors show that in a stable, viscous boundary layer disturbances ultimately decay, even though they can experience substantial shear a”
Disturbance growth in boundary layers subjected to free-stream turbulence (2001, background): “In the theoretical work by Luchini (2000) and Andersson et al. (1999), it was found that the optimal scale was approximately 1.4δ.”
Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, background): “Optimization techniques based on adjoints [76] were first introduced in fluid mechanics by Hill [116] and Luchini et al. [21] for receptivity studies and by Bewley [92] and Corbett et al. [117] for optimal control of instabilities.”
Transition of streamwise streaks in zero-pressure-gradient boundary layers (2002, methodology): “Andersson et al. (1999) and Luchini (2000) showed that the perturbations at the leading edge of a flat plate that show the highest potential for transient energy amplification consist of a pair of streamwise vortices.”
Optimal transient growth and very large–scale structures in turbulent boundary layers (2008, methodology): “Using the fully non-parallel approach and forcing the optimal vortices at the leading edge of the flat plate (where δ∗ = 0), Andersson, Berggren & Henningson (1999) and Luchini (2000) found αδ∗ = 0, βδ∗ = 0.77 and Gmax = 0.784 10 −3Re2δ∗ .”
Transition in boundary layers subject to free-stream turbulence (2004, methodology): “The spanwise scales observed are in agreement with the experimental results of Matsubara & Alfredsson (2001); the values obtained are slightly lower than those pertaining to the linear optimal perturbation computed by Andersson et al. (1999) and Luchini (2000).”