Nils Berglund | Exciting resonant modes in a circle, with fewer sources than cavities @NilsBerglund | Uploaded October 2024 | Updated October 2024, 1 hour ago.
This video is based on a suggestion in a comment. Like several previous videos on this channel , this one shows waves in a circular cavity excited by pulsing sources in other, connected cavities. In this case, there are sixteen cavities, but only six sources, pulsing with a phase shift of one twelfth of the period. Source are located in every third cavity, where the spacing of 3 has been chosen because it is coprime with 16. One can notice that after a while, these sources excite standing waves in all sixteen cavities.
This video has two parts, showing the same evolution with two different color gradients:
Wave height: 0:00
Averaged wave energy: 1:40
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: 18 minutes 53 seconds
Compression: crf 23
Color scheme: Part 1 - Viridis by Nathaniel J. Smith, Stefan van der Walt and Eric Firing
github.com/BIDS/colormap
Part 2 - Cividis by Jamie R. Nuñez, Christopher R. Anderton, Ryan S. Renslowjournals.plos.org/plosone/article?id=10.1371/journal.pone.0199239
Music: Living Voyage by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 licence. creativecommons.org/licenses/by/4.0/Source: incompetech.com/music/royalty-free/index.html?isrc=USUAN1100594Artist: incompetech.com
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 based on a suggestion in a comment. Like several previous videos on this channel , this one shows waves in a circular cavity excited by pulsing sources in other, connected cavities. In this case, there are sixteen cavities, but only six sources, pulsing with a phase shift of one twelfth of the period. Source are located in every third cavity, where the spacing of 3 has been chosen because it is coprime with 16. One can notice that after a while, these sources excite standing waves in all sixteen cavities.
This video has two parts, showing the same evolution with two different color gradients:
Wave height: 0:00
Averaged wave energy: 1:40
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: 18 minutes 53 seconds
Compression: crf 23
Color scheme: Part 1 - Viridis by Nathaniel J. Smith, Stefan van der Walt and Eric Firing
github.com/BIDS/colormap
Part 2 - Cividis by Jamie R. Nuñez, Christopher R. Anderton, Ryan S. Renslowjournals.plos.org/plosone/article?id=10.1371/journal.pone.0199239
Music: Living Voyage by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 licence. creativecommons.org/licenses/by/4.0/Source: incompetech.com/music/royalty-free/index.html?isrc=USUAN1100594Artist: incompetech.com
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