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Professor Jerrold E. Marsden
Demos
Aerodynamic Flows
(1)
This
animation
shows the Direct Lyapunov Exponent (DLE) field for
unsteady flow about a GLAS II airfoil in the presence of flow control.
The flow control is driven by a periodic jet located on the surface of
the airfoil at approximately 60% cord length.
The one-dimensional curve
of high DLE is referred to as a Lagrangian Coherent Structure (LCS),
which is a nearly invariant manifold that represents a finite-time
approximation to the separation profile.
The velocity field data was
provided by
Jeff Eldredge at UCLA.
Contact
Shawn Shadden,
for more information.
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Shawn Shadden
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(2)
This
animation
shows the DLE field for unsteady flow about a GLAS II
airfoil in the presence of flow control. The difference from the
previous animation above is that the jet is located on the surface of
the airfoil at approximately 50% cord length. Again, the velocity field
data was provided by
Jeff Eldredge at UCLA.
Contact
Shawn Shadden,
for more information.
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Shawn Shadden
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(3)
This
animation
is identical to the movie (2) above,
except the Eulerian velocity field is not shown, but
instead, tracers have been placed in the flow to show the Lagrangian
behavior of the LCS and show that it indeed does act as a Lagrangian barrier
which represents the separation profile that separates the free-stream flow
from the "dead-water" zone. For convenience, tracers are colored based on
their original location relative to the LCS.
Contact
Shawn Shadden,
for more information.
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Shawn Shadden
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