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Integrated Computation of Finite Time Lyapunov Exponent During ...

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Conclusions<br />

1 We can compute evolving forward and backward time FTLE fields during direct<br />

numerical simulation <strong>of</strong> unsteady and turbulent flow<br />

2 The integration allows for high resolution FTLE computations, using the native<br />

space and time resolution <strong>of</strong> the simulation<br />

3 We have tested the implementation for 2D and 3D flows with both fixed & moving<br />

boundaries as well as complex configurations<br />

4 The FTLE computations contribute to 26% or less <strong>of</strong> the total simulation time, and<br />

require only moderate amounts <strong>of</strong> RAM/disk space.<br />

Future Work<br />

1 Precise extraction <strong>of</strong> LCS from developing theory<br />

2 Extension to inertial particles<br />

3 Simulations <strong>of</strong> FTLE based control<br />

Finn & Apte FTLE & DNS Integration 15

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