@NilsBerglund
  @NilsBerglund
Nils Berglund | Creating rotating waves in a circle with ten angled secondary cavities @NilsBerglund | Uploaded October 2024 | Updated October 2024, 2 minutes ago.
This simulation of a resonating cavity implements a suggestion made by viewers of a previous simulation: By placing the channels connecting the main cavity to the secondary ones at an angle, instead of radially, the waves excited in the main cavity should have a tendency to rotate. It turns out that this works indeed quite well.
This video has two parts, showing the same evolution with two different color gradients:
Wave height: 0:00
Averaged wave energy: 2:04
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: 22 minutes 52 seconds
Compression: crf 23
Color scheme: Part 1 - Cividis by Jamie R. Nuñez, Christopher R. Anderton, Ryan S. Renslowjournals.plos.org/plosone/article?id=10.1371/journal.pone.0199239
Part 2 - Inferno by Nathaniel J. Smith and Stefan van der Walt
github.com/BIDS/colormap

Music: "September Pass" by Asher Fulero@AsherFulero

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
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Creating rotating waves in a circle with ten angled secondary cavities @NilsBerglund

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