Скачать или смотреть Double-disc resonators with optimized wave speed

This is a variant of the simulation    • Comparing fourth, fifth and octave interva...   , showing four resonating cavities of the same shape, consisting each of two discs of different radii, connected by a channel. Following a request in a comment, the wave speed has been slightly increased, in order to get a wavelength close to twice the channel width for the leftmost resonator. The idea is to reduce interference phenomena in the channels. Interestingly, the waves in the channels seem to move first downwards, before becoming standing waves, and starting to move upwards.
The source frequencies have been chosen according to musical intervals. In the upper disc of each resonator, waves are emitted at regular time intervals. Compared to the base frequency in the left resonator, close to 2Hz, source in the second, third and fourth resonators pulse at frequencies that are 4/3, 3/2, and 2 times higher. This corresponds to musical intervals called fourth, fifth and octave.
The color hue depends on the wave height.

Render time: 24 minutes 47 seconds
Compression: crf 25
Color scheme: Cividis by Jamie R. Nuñez, Christopher R. Anderton, Ryan S. Renslow
https://journals.plos.org/plosone/art...

Music: "Boogie Down" by The Grey Room/Golden Palms‪@TheGreyRoom‬

See also
https://images.math.cnrs.fr/des-ondes... 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 https://hplgit.github.io/fdm-book/doc...
C code: https://github.com/nilsberglund-orlea...
https://www.idpoisson.fr/berglund/sof...
Many thanks to Marco Mancini and Julian Kauth for helping me to accelerate my code!

#wave #resonator #harmonics