Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes

By Espen Åkervik, J. Hœpffner, U. Ehrenstein, Dan S. Henningson. Journal of Fluid Mechanics, 2007

188 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/a3a2407f061036b54f16633ddfe1311230c33688

How researchers see this paper

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

In Atmospheric Science

1. Luca Brandt
2. Peter J. Schmid
3. Dan S. Henningson
4. Denis Sipp
5. A. Barbagallo
6. P. Ecole
7. Shervin Bagheri
8. Espen Åkervik

In Computational Mechanics

1. Peter J. Schmid
2. Denis Sipp
3. Dan S. Henningson
4. Luca Brandt
5. Steven L. Brunton
6. Clarence W. Rowley
7. O. Marquet
8. A. Barbagallo

Citations in the corpus

• Closed-loop control of an open cavity flow using reduced-order models (2009, methodology): “The use of global modes for model reduction (see Ehrenstein & Gallaire 2005, 2008; Åkervik et al. 2007; Henningson & Åkervik 2008) is common despite the fact that this type of basis may be insufficient and inefficient in representing the input– output behaviour of the compensated system. Even though”
• Input–output analysis, model reduction and control of the flat-plate boundary layer (2009, methodology): “See, for example Åkervik et al. (2007) for the case in which feedback control applied to flow separation over a long shallow cavity.”
• Dynamic mode decomposition of numerical and experimental data (2008, methodology): “…is also shared by the POD method; a standard global mode analysis, on the other hand, has difficulties with processing subdomains because boundary conditions have to be imposed on the subdomains (e.g. Åkervik et al. 2007) which, when carelessly chosen, can contaminate the computed global modes.”
• Global two-dimensional stability measures of the flat plate boundary-layer flow (2008, background): “As the relevance of global analysis is well established for highly non-parallel flows [2], there are still some important issues to be dealt with when it comes to applying this methodology to slightly non-parallel situations.”
• Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers (2010, methodology): “…Ehrenstein & Gallaire (2005) and Åkervik et al. (2008), whereas two-dimensional and three-dimensional studies on separated flows were performed by Åkervik et al. (2007), Gallaire, Marquillie & Ehrenstein (2007), Ehrenstein & Gallaire (2008), Marquet et al. (2008), Marquet et al. (2009) and…”
• Enablers for robust POD models (2009, methodology): “Here, we develop a global basis for both the velocity and pressure fields (see [22] for justification and numerical 3 Only the velocity field is necessary to evaluate the residuals of the Navier-Stokes operator written in its vorticity formulation. demonstration).”
• Direct optimal growth analysis for timesteppers (2008, background): “Only recently, however, have large-scale techniques been extended to the transient growth problem [9–12].”
• Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach (2010, methodology): “[39], in general it appears to be erroneous.”