Exotic Patterns in Faraday Waves

Exotic Patterns in Faraday Waves

International Centre for Theoretical Sciences via YouTube Direct link

Start

2 of 34

2 of 34

Start

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

Exotic Patterns in Faraday Waves

Automatically move to the next video in the Classroom when playback concludes

  1. 1 Date & Time: Thu, 20 February 2020, 11:30 to
  2. 2 Start
  3. 3 The Faraday instability: Floquet analysis, numerical simulation, and exotic patterns
  4. 4 History -- Experiments
  5. 5 Hydrodynamic Instabilities
  6. 6 History -- Theory & Numerics
  7. 7 Benjamin & Ursell inviscid linear stability analysis Linear problem is homogeneous in x,y,
  8. 8 Linear stability problem reduces to:
  9. 9 Result of viscous stability analysis
  10. 10 Exotic Patterns
  11. 11 Two-frequency forcing
  12. 12 Back to single-frequency forcing
  13. 13 Equations and numerical methods
  14. 14 Compare numerical simulation with Floquet analysis Nicolas Perinet
  15. 15 Hexagonal lattice
  16. 16 Computations carried out in minimal hexagonal domain: smallest rectangular domain that can accommodate hexagons
  17. 17 Velocity field at various instants
  18. 18 Hexagonal pattern over one subharmonic oscillation period
  19. 19 Long-time evolution
  20. 20 Stroboscopic films show long-time behavior
  21. 21 Fourier spectra
  22. 22 Fourier spectra : time evolution
  23. 23 Questions: Is this time-dependent behavior in the minimal domain related to the competition between squares and hexagons in a large domain?
  24. 24 High Performance Computing with BLUE
  25. 25 Faraday Super-squares
  26. 26 Experimental study of the Faraday instability
  27. 27 What about a spherical interface subjected to a radical force?
  28. 28 Planar and Spherical
  29. 29 Numerical Floquet analysis
  30. 30 Full nonlinear simulations using BLUE
  31. 31 Predictions from symmetry theory Busse, Golubitsky, Chossat, Matthews, ...
  32. 32 Formulas when patterns are aligned along axis asymmetric
  33. 33 l= 3 tetrahedron
  34. 34 Impossible for pure capillary waves

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.