Direct optimal growth analysis for timesteppers

By Dwight Barkley, Hugh Maurice Blackburn, Spencer J. Sherwin. 2008

252 citations recorded by the source corpus.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes

View Paper: https://www.semanticscholar.org/paper/c3c572eaad95b3497017b3f189d51ac2e6a7f463

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In Computational Mechanics

1. Luca Brandt
2. Dan S. Henningson
3. Antonios Monokrousos
4. Espen Åkervik
5. Hugh Maurice Blackburn
6. Spencer J. Sherwin
7. Dwight Barkley
8. Denis Sipp

In Fluid Flow and Transfer Processes

1. Spencer J. Sherwin
2. Hugh Maurice Blackburn
3. Dwight Barkley
4. Luca Brandt

Citations in the corpus

• Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers (2010, methodology): “…a time-stepper (DNS) and performing power iterations or the more advanced Arnoldi method (cf. Nayar & Ortega 1993; Lehoucq, Sorensen & Yang 1997); both methods only need a random initial guess for u(0) and a numerical solver to determine the action of exp(AT ) and exp(A†T ) (Barkley et al. 2008).”
• Convective instability and transient growth in flow over a backward-facing step (2007, methodology): “In essence, we compute the leading singular value decomposition of A(τ ), obtaining both the initial modes (right singular vectors) and output modes (left singular vectors); see Barkley et al. (2008).”