Lecture 9

The following demonstrations are graphic representations of concepts discussed in the lecture notes (PDF).

Page 2: 2D

• psi (GIF - 11MB)
• zeta (GIF - 22MB)

Page 2: Statistics

• spectra (GIF - 1.5MB)
• pdf of zeta (GIF - 2.2MB)

Page 2: Averages

• E and Z (PNG)
• variance and kurtosis (PNG)

Page 3: mean k

• kbar vs time (PNG)

Page 5: Point vortex simulations

• n=3 (GIF)
• delta solutions (PNG)
• n=4 (GIF)
• delta (PNG)
• single vortex trajectory (PNG)
• long example (PNG)

Page 7: Vortex waves

• circular (PNG)
• go (GIF)
• n=2 (PNG)
• go (GIF)
• n=3 (PNG)
• go (GIF)
• n=4 (PNG)
• go (GIF)
• n=8 (PNG)
• go (GIF)

Page 7: Vortices in shear

• elliptical (PNG)
• go (GIF)
• strong shear (PNG)
• go (GIF)
• weak shear (PNG)
• go (GIF)
• balanced (PNG)
• go (GIF)
• adverse (PNG)
• go (GIF)
• adverse weak (PNG)
• go (GIF)

Page 8: Vortices in neighbor field

• R=4 (PNG)
• go (GIF)
• R=3 (PNG)
• go (GIF)
• R=3.5 (PNG)
• go (GIF)
• R=4 full (GIF)
• R=3.5 full (GIF)
• R=3.45 full (GIF)
• R=3.4 full (GIF)
• R=3.3 full (GIF)