1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Insights into symmetric and asymmetric vortex mergers using the core growth model
Rent:
Rent this article for
USD
10.1063/1.4730344
/content/aip/journal/pof2/24/7/10.1063/1.4730344
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/7/10.1063/1.4730344
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematics of (a) symmetric and (b) asymmetric co-rotating vortex pairs.

Image of FIG. 2.
FIG. 2.

(a) Rotation rate and (b) rotation angle θ for the co-rotating vortex pair, Re = 1000.

Image of FIG. 3.
FIG. 3.

Symmetric vortex pair with Re = 1000: (a) Vorticity along the connecting line. The two vorticity peaks eventually decay and merge to a single peak at the origin. (b) Distance between the vorticity peaks and origin as a function of time. The peaks merge at time τ = 0.125. (c) Vorticity evolution at the origin. The maximum vorticity occurs at τ = 0.0625.

Image of FIG. 4.
FIG. 4.

Symmetric vortex pair with Re = 1000: Streamlines of the absolute velocity field in inertial frame at τ = 0, 0.025, 0.050 and 0.075. Each plot shows a [−1, 1] × [−1, 1] window in (x, y) plane.

Image of FIG. 5.
FIG. 5.

Asymmetric vortex pair with Re = 1000: (a) Vorticity along the connecting line. One vorticity peak eventually decay and merge with the valley. (b) Distance between the vorticity peaks (and valley) and origin as function of time. One peak and the valley merge at time τ ≈ 0.0725. (c) Vorticity evolution at the origin. The maximum vorticity occurs at τ ≈ 0.0304.

Image of FIG. 6.
FIG. 6.

Asymmetric vortex pair with Re = 1000: Streamlines of absolute velocity field in inertial frame at τ = 0, 0.008, 0.0146, and 0.05. Each plot shows a [ − 1, 1] × [ − 1, 1] window in (x, y) plane.

Image of FIG. 7.
FIG. 7.

The velocity field induced by the co-rotating vortex pair becomes analogous to that of a Rankine vortex. The component of velocity v η along the ζ axis is depicted at various instants (solid). The velocity of a Rankine vortex with vorticity 2Γ and time-dependent core are superimposed (dashed). The velocity field is similar to a rigid rotation close to the origin and an inverse decay at larger distance from the origin.

Image of FIG. 8.
FIG. 8.

Evolution of separatrices associated with the relative velocity field of the non-symmetric co-rotating pair in rotating frame. The arrows on separatrices show velocity direction. Hyperbolic points are represented by cross-sections of separatrices. Elliptic points are small circles. Re = 1000.

Image of FIG. 9.
FIG. 9.

Evolution of fixed points and separatrices associated with the relative velocity field for the symmetric co-rotating pair in rotating frame. The arrows on separatrices show velocity directions. Hyperbolic points are represented by cross-sections of separatrices. Elliptic points are small circles. Re = 1000.

Image of FIG. 10.
FIG. 10.

Passive tracer evolution for the symmetric case.

Image of FIG. 11.
FIG. 11.

Trajectories of passive tracers for the symmetric case. Their initial positions at τ = 0 are represented by ◯: (0 , 0.1), (0 , 0.5), (0 , − 0.7), (− 0.15 , 0), (− 0.4 , 1) and (1 , 0); and their final position at τ = 0.2 are marked with △.

Image of FIG. 12.
FIG. 12.

Passive tracer evolution for the asymmetric case.

Image of FIG. 13.
FIG. 13.

Homotopic equivalences of the separatrices for symmetric co-rotating pair. Bifurcation states are depicted in boxes.

Image of FIG. 14.
FIG. 14.

Timeline of important events for the symmetric case.

Image of FIG. 15.
FIG. 15.

Homotopic equivalences of the separatrices for asymmetric co-rotating pair. Bifurcation states are depicted in boxes.

Image of FIG. 16.
FIG. 16.

Timeline of important events for the asymmetric case.

Loading

Article metrics loading...

/content/aip/journal/pof2/24/7/10.1063/1.4730344
2012-07-05
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Insights into symmetric and asymmetric vortex mergers using the core growth model
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/7/10.1063/1.4730344
10.1063/1.4730344
SEARCH_EXPAND_ITEM