A study of eigenvalue sensitivity for hydrodynamic stability operators

Peter J. Schmid, Dan S. Henningson, Mehdi R. Khorrami, Mujeeb R. Malik

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

The eigenvalue sensitivity for hydrodynamic stability operators is investigated. Classical matrix perturbation techniques as well as the concept of ε-pseudospectra are applied to show that parts of the spectrum are highly sensitive to small perturbations. Applications are drawn from incompressible plane Couette flow, trailing line vortex flow, and compressible Blasius boundary-layer flow. Parameter studies indicate a monotonically increasing effect of the Reynolds number on the sensitivity. The phenomenon of eigenvalue sensitivity is due to the nonnormality of the operators and their discrete matrix analogs and may be associated with large transient growth of the corresponding initial value problem. © 1993 Springer-Verlag.
Original languageEnglish (US)
Pages (from-to)227-240
Number of pages14
JournalTheoretical and Computational Fluid Dynamics
Volume4
Issue number5
DOIs
StatePublished - Jul 1 1993
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Engineering(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'A study of eigenvalue sensitivity for hydrodynamic stability operators'. Together they form a unique fingerprint.

Cite this