Unformatted text preview: the motion of the LCS. Can you use this information to provide a much shorter proof of the ﬂux estimate (or similar type of ﬂux estimate)? B. FTLE computation 1. Write your own code to numerically compute the FTLE for the following dynamical system in the plane: ˙ x = y (2) ˙ y =-sin( x )-. 65 y sin( πt ) . (3) 2. Plot the FTLE using a ﬂooded contour plot. 3. Animate many frames of the FTLE at diﬀerent times to produce a movie of the FTLE. 4. Plot instantaneous streamlines of the velocity ﬁeld and compare them with the LCS. Do instantaneous streamlines provide information about transport barriers in the ﬂow? 5. Optional: Propose and implement an algorithm to extract the LCS as a curve deﬁned by line segments from the FTLE scalar ﬁeld. Will your algorithm work in 3 dimensions? 1...
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- Fall '10
- lagrangian coherent structures