Stability and Transition in Shear Flows. By P. J. SCHMID & D. S. HENNINGSON. Springer, 2001. 556 pp. ISBN 0-387-98985-4. £ 59.50 or $79.95

By Peter J. Schmid, Dan S. Henningson. Journal of Fluid Mechanics, 2000

1,581 citations recorded by the source corpus.

Subfields: Computational Mechanics, Earth-Surface Processes

View Paper: https://www.semanticscholar.org/paper/c82f472e4add43a2b6429fc61d2b6d33bf80d105

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. B. McKeon
2. Luca Brandt
3. Y. Hwang
4. C. Cossu
5. Dan S. Henningson
6. Denis Sipp
7. Javier Jiménez
8. Ati S. Sharma

In Earth-Surface Processes

1. C. Cossu
2. B. McKeon
3. Y. Hwang
4. Luca Brandt
5. Dan S. Henningson
6. Olaf Marxen
7. Javier Jiménez
8. Tamer A. Zaki

Citations in the corpus

• The large-scale dynamics of near-wall turbulence (2002, methodology): “Active or passive streaks In a linearized approximation, the equations for ωy and φ are the Squire and Orr– Sommerfeld equations of stability theory (Schmid & Henningson 2001), and their relation is hierarchical.”
• A critical-layer framework for turbulent pipe flow (2010, background): “The scaling of the width of these regions can be determined by consideration of the appropriate terms in (4.5) (for plane flow see Maslowe 1981; Schmid & Henningson 2001; Drazin & Reid 2004).”
• Algebraic growth in a Blasius boundary layer: optimal and robust control by mean suction in the nonlinear regime (2004, background): “…is a mechanism which appears to reconcile the seeming contrast between classical stability theory (based on the growth or decay of a single-mode perturbation) and experimental observations of the initial phases of transition in boundary layers, channels and pipes (cf. Schmid & Henningson 2001).”
• Issues in active flow control: theory, control, simulation, and experiment (2004, background): “Transient growth has explained shortcomings of linear stability theory in classic one-dimensional basic flows [22], that illustrates the difficulties in relying upon linear stability analysis in any but the simpliest problems.”
• Transition in boundary layers subject to free-stream turbulence (2004, background): “It is now understood that since the linearized Navier–Stokes operator is non-normal for many flow cases, a significant transient growth may occur before the subsequent exponential behaviour (Butler & Farrell 1992; Reddy & Henningson 1993; Schmid & Henningson 2001).”
• Linearized pipe flow to Reynolds number 10 7 (2003, background): “Three classical incompressible shear flows have received attention in connection with the phenomenon of ‘‘subcritical’’ or ‘‘nonmodal’’ or ‘‘bypass’’ transition to turbulence [9,28].”
• Direct optimal growth analysis for timesteppers (2008, background): “an exponential function of time multiplying a fixed modal shape; therefore, eigenvalue problem (4) is simply not directly relevant [15, 16].”
• Amplification of coherent streaks in the turbulent Couette flow: an input–output analysis at low Reynolds number (2010, methodology): “…frequencies) and Farrell & Ioannou (1993b) and Jovanović & Bamieh (2005) for the optimal stochastic response of laminar channel flows (see also e.g. Schmid & Henningson 2001; Schmid 2007, for a review), and the results of del Álamo & Jiménez (2006) and Pujals et al. (2009) for the optimal…”
• Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis (2017, methodology): “It has been used to study the linear response of flows to external body forces and perturbations (Trefethen et al., 1993; Farrell & Ioannou, 2001; Schmid & Henningson, 2001; Jovanović & Bamieh, 2005; Bagheri et al., 2009; Sipp et al., 2010) and to forcing from the nonlinear terms in the…”
• Transition of streamwise streaks in zero-pressure-gradient boundary layers (2002, background): “…point of view, it is now clear that since the linearized Navier–Stokes operator is non-normal for many flow cases (e.g. shear flows), a significant transient growth may occur before the subsequent exponential behaviour (see Butler & Farrell 1992; Reddy & Henningson 1993; Schmid & Henningson 2001).”
• Linear feedback control and estimation of transition in plane channel flow (2003, background): “Several transition scenarios initiated by perturbations experiencing non-modal growth have been investigated; for a recent review of subcritical transition scenarios, see Schmid & Henningson (2001).”
• Numerical investigation of the tone noise mechanism over laminar airfoils (2007, methodology): “The numerical method used to solve the iNS equations in a perturbation form is based on a Chebyshev collocation method (for more details see Schmid & Henningson 2001).”