PowerPoint Presentation fileIMA Program on Geometrical Singularities and Singular Geometries Stephen...
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Transcript of PowerPoint Presentation fileIMA Program on Geometrical Singularities and Singular Geometries Stephen...
Velocity induced by a
distribution of vorticity
y-xr,)(r
4
1u(x)
3
dy
r
y
Simple paired vortex structure:
)('2
1,0)(
)sin()(
,2
11
1
22
kakJUkaJ
krJ
kflowEulerD
U
Volume and energy constraints, can be
satisfied by including filamentary structures.
O(r-3/4
)
O(r-5/2
)
2+1 dimensional model. Target
vortex is a planar curve. Cocoon
is
In 2D plane orthogonal to the
curve. Local radius of curvature
allowed to vary.
