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Edge states in a boundary layer
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10.1063/1.3589842
/content/aip/journal/pof2/23/5/10.1063/1.3589842
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/5/10.1063/1.3589842

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Streamwise disturbance velocity peaks versus time for DNSs initialized by the linear (thin gray lines, red online) and the nonlinear optimal perturbation (black thick lines) for different values of the initial energy.

Image of FIG. 2.
FIG. 2.

(Color online) Snapshots of the streamwise component of the perturbation (darker surfaces, blue online, for ) and of the Q-criterion (lighter surfaces, green online) at and (top and bottom, respectively) obtained by the DNS initialized with the nonlinear optimal perturbation with .

Image of FIG. 3.
FIG. 3.

(Color online) Contours of the streamwise components of the perturbation and cross-stream velocity vectors at and (from left to right) obtained using the DNS initialized by the nonlinear optimal perturbation with (maximum value, ). Shaded contours represent values from (lighter contours, green online) to (darker contours, red online) (enhanced online). [URL: http://dx.doi.org/10.1063/1.3589842.1]10.1063/1.3589842.1

Image of FIG. 4.
FIG. 4.

Contours of the streamwise components of the perturbation (solid lines for ) at and obtained using the DNS initialized by the nonlinear optimal perturbation with (top) and by the linear optimal one for (bottom).

Image of FIG. 5.
FIG. 5.

(Color online) Snapshots of the streamwise component of the perturbation (darker surfaces, blue online, for u = 0.07) and of the Q-criterion (lighter surfaces, green online) at t = 300, 700 (top and bottom, respectively) obtained using the DNS initialized by the linear optimal perturbation by E 0 = 0.075643438.

Image of FIG. 6.
FIG. 6.

(Color online) Contours of the streamwise components of the perturbation and cross-stream velocity vectors at x = 650 and t = 610, 640, 660 (from left to right) obtained using a DNS initialized by the linear optimal perturbation with E 0 = 0.075643438 (maximum value, w = 0.015). Shaded contours represent values from u = 0.06 (lighter contours, green online) to u = 0.04 (darker contours, red online) (enhanced online). [URL: http://dx.doi.org/10.1063/1.3589842.2]10.1063/1.3589842.2

Image of FIG. 7.
FIG. 7.

(Color online) Trajectories in the phase space spanned by the maximum values of the three components of the perturbation, for simulations initialized by the nonlinear (left frame) and linear (right frame) optimal perturbations, respectively. Insets show close-ups of trajectories on the edge.

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/content/aip/journal/pof2/23/5/10.1063/1.3589842
2011-05-23
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Edge states in a boundary layer
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/5/10.1063/1.3589842
10.1063/1.3589842
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