# 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 innerâ€¦Â Expand

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#### References

SHOWING 1-10 OF 67 REFERENCES

Effect of base-flow variation in noise amplifiers: the flat-plate boundary layer

- Physics
- Journal of Fluid Mechanics
- 2011

Conditions for validity of mean flow stability analysis

- Mathematics
- Journal of Fluid Mechanics
- 2016

Linear non-normal energy amplification of harmonic and stochastic forcing in the turbulent channel flow

- Physics
- Journal of Fluid Mechanics
- 2010

Structural sensitivity of the first instability of the cylinder wake

- Physics
- Journal of Fluid Mechanics
- 2007

Mean flow stability analysis of oscillating jet experiments

- Physics
- Journal of Fluid Mechanics
- 2014

Algebraic disturbance growth by interaction of Orr and lift-up mechanisms

- Physics
- Journal of Fluid Mechanics
- 2017