Nils Berglund | Exciting resonant modes in a circle @NilsBerglund | Uploaded September 2024 | Updated October 2024, 1 hour ago.
This video is inspired by some recent simulations on this channel, showing resonators shaped like magnetrons. These resonators feature several circular cavities, in which the waves displayed interesting standing wave patterns. In this simulation, the source of the waves is located in a smaller circular cavity, and the waves propagate through a channel to the larger cavity, where they produce interference patterns. Note that some of these patterns are reminiscent of heart-shaped reflections that you can sometimes see in a cup of coffee.
This video has two parts, showing the same evolution with two different color gradients:
Wave height: 0:00
Averaged wave energy: 1:39
In the first part, the color hue depends on the height of the wave. In the second part, it depends on the energy of the wave, slightly averaged over a sliding time window.
Render time: 21 minutes 47 seconds
Compression: crf 23
Color scheme: Part 1 - Twilight by Bastian Bechtoldgithub.com/bastibe/twilight
Part 2 - Magma by Nathaniel J. Smith and Stefan van der Walt
github.com/BIDS/colormap
Music: "Highway 5" by TrackTribe@TrackTribe
See also
https://images.math.cnrs.fr/des-ondes-dans-mon-billard-partie-i/ for more explanations (in French) on a few previous simulations of wave equations.
The simulation solves the wave equation by discretization. The algorithm is adapted from the paper hplgit.github.io/fdm-book/doc/pub/wave/pdf/wave-4print.pdf
C code: github.com/nilsberglund-orleans/YouTube-simulations
https://www.idpoisson.fr/berglund/software.html
Many thanks to Marco Mancini and Julian Kauth for helping me to accelerate my code!
#wave #resonator
This video is inspired by some recent simulations on this channel, showing resonators shaped like magnetrons. These resonators feature several circular cavities, in which the waves displayed interesting standing wave patterns. In this simulation, the source of the waves is located in a smaller circular cavity, and the waves propagate through a channel to the larger cavity, where they produce interference patterns. Note that some of these patterns are reminiscent of heart-shaped reflections that you can sometimes see in a cup of coffee.
This video has two parts, showing the same evolution with two different color gradients:
Wave height: 0:00
Averaged wave energy: 1:39
In the first part, the color hue depends on the height of the wave. In the second part, it depends on the energy of the wave, slightly averaged over a sliding time window.
Render time: 21 minutes 47 seconds
Compression: crf 23
Color scheme: Part 1 - Twilight by Bastian Bechtoldgithub.com/bastibe/twilight
Part 2 - Magma by Nathaniel J. Smith and Stefan van der Walt
github.com/BIDS/colormap
Music: "Highway 5" by TrackTribe@TrackTribe
See also
https://images.math.cnrs.fr/des-ondes-dans-mon-billard-partie-i/ for more explanations (in French) on a few previous simulations of wave equations.
The simulation solves the wave equation by discretization. The algorithm is adapted from the paper hplgit.github.io/fdm-book/doc/pub/wave/pdf/wave-4print.pdf
C code: github.com/nilsberglund-orleans/YouTube-simulations
https://www.idpoisson.fr/berglund/software.html
Many thanks to Marco Mancini and Julian Kauth for helping me to accelerate my code!
#wave #resonator