Transient energy growth of optimal streaks in parallel round jets
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![FIG. 7. Transient dynamics of optimal perturbations with m = 2 (top row) and m = 10 (bottom row) for frozen base flows at Re = 100 000: [(a) and (e)] normalized axial components of enstrophy density | ! z (r ) | 2 / max( | ! z (r ) | 2 ) at t = 0 and [(b)](https://thumb-eu.123doks.com/thumbv2/123doknet/14354265.501483/10.892.86.806.130.490/transient-dynamics-optimal-perturbations-normalized-components-enstrophy-density.webp)
![FIG. 11. Transient dynamics of perturbations for a diffusing base flow with ↵ = 20 and Re = 1000: cross section of the optimal initial condition (t = 0) axial vorticity ! z and associated normalized vector field [(c) and (g)] and streamwise velocity u z of](https://thumb-eu.123doks.com/thumbv2/123doknet/14354265.501483/12.892.85.805.712.1072/transient-perturbations-diffusing-condition-vorticity-associated-normalized-streamwise.webp)
![FIG. 12. Energy density distributions for optimal perturbations with m = 1 [(a)-(f)] and m = 2 [(g)-(l)] for diffusive (top row) and frozen (bottom row) base flows with ↵ = 20 at Re = 1000: radial energy densities |u i (r)| 2 at (a), (d), (g), and (j) init](https://thumb-eu.123doks.com/thumbv2/123doknet/14354265.501483/13.892.84.807.129.407/energy-density-distributions-optimal-perturbations-diffusive-frozen-densities.webp)
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