Non-normality and classification of amplification mechanisms in stability and resolvent analysis

@article{Symon2018NonnormalityAC,
  title={Non-normality and classification of amplification mechanisms in stability and resolvent analysis},
  author={S. Symon and K. Rosenberg and Scott T. M. Dawson and B. McKeon},
  journal={arXiv: Fluid Dynamics},
  year={2018},
  volume={3},
  pages={053902}
}
Eigenspectra and pseudospectra of the mean-linearized Navier-Stokes operator are used to characterize amplification mechanisms in laminar and turbulent flows in which linear mechanisms are important. Success of mean flow (linear) stability analysis for a particular frequency is shown to depend on whether two scalar measures of non-normality agree: (1) the product between the resolvent norm and the distance from the imaginary axis to the closest eigenvalue and (2) the inverse of the inner… Expand
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