With these animations, I am trying to show that mathematics and physics can be beautiful. They are all based on real models in physics and maths, typically describing the evolution in time of some system: a particle or a wave in a closed domain, a growing interface, a population of animals. Thanks to all those sending me suggestions for other simulations. I will try to implement some of them. I am also making available the code used to create some of these videos, once I have tested it in a number of cases, so you have the possibility of downloading the code and modifying it yourself.
Really awesome simulation! I'm guessing that it's set to an Earth-like rotation state? On a current Venus you don't really get the same Easterly-Westerly winds from the coriolis force because the rotation is really slow. There are some really interesting papers that show that on a water rich Venus you tend to get these massive cloud banks that sit directly facing the sun, since there isn't enough geostrophy to redistribute them across the planet. Like a big old eyeball! It actually end up regulating the temperature to keep Venus livable - would be awesome to see that!
Very nice :) i like the ocean heat or density (salt/halina) flows :) - glad that the fluid doesnt evaporate in 200-400 C of the full greenhouse effect - on earth the full greenhouse effect would result in 70C so there still would be 10-25% warmer than on earth :) ok there could be water with some radiation reflected.
IF there exists gravity then how is the vector field applied , is there also some viscose medium present? I cant see the particles gaining momentum as if they were free falling 😕 "The force results from the repulsion between electrons due to Pauli's exclusion principle, while the attractive part is a more subtle effect appearing in a multipole expansion" - can we call the attractive part simply van der Waals type of attraction - thats made of the ^6 and ^12 multipole terms.
With the 117 day solar cycle, the weather would pass around the planet like a fast seasonal cycle. Brutally hot summers and hard frozen winters, with howling storms always.
Do you mean before or after they pass the lattice? Before easy (there are two frequencies related by a factor of 3). After would require something like a Fourier transform.
@@NilsBerglund Just wanted to know the relationship between the starting frequencies, thanks! Also thankyou for all of these amazing simulations, no joke you have got one of the coolest channels on the whole site!
Does amplitude make a difference? Also, will the arrangement, size, density and material of barriers alter the result? Would be interesting to see the different results with just a single pulse at different amplitudes too.
Amplitude will make no difference, since this is the linear wave equation. Arrangement, size and density do matter, mostly via the ratio between wavelength and distance between obstacles. The material could have an effect on the boundary conditions. Here the b.c. are totally reflecting (Dirichlet).
Good question. The most important seems to be the distance between obstacles. Decreasing the disc size should allow more energy to pass the barrier, but one sometimes has surprises in these situations.
it is said that low frequency waves can't fit through gaps lower than their wavelength - is that only for certain types of waves, as it seems these go through fine? the low wavelength is wider than the distance between the posts ...
Maybe I should have used larger discs. However, the wave profile indicates that waves of the lower source pass more easily to reach the top right region, following a channel in the lattice.
One would have to add features to the model, such as temperature and humidity. This is done for weather models on the Earth, which requires quite a bit of additional work.
The Schrödinger equation would be more appropriate for this. The linear (hyperbolic) wave equation and the Schrödinger equation have some similarities, but they also have important differences, especially for short times.
I'm sorry but the background music sounds like what plays during a fight between a supervilan and superhero, where they both are a bit tired from fighting so they banter a bit, throwing around one-liners while they catch their breath, and this is exactly what is playing in the background. Honestly this channel always has the best background music.
most don't even know infinity is a perfect circle ♾️ ⭕ nor do they realize the Sun giveth and taketh away equally... Always in flux and jest and swimming in an ocean of neverending cycles it's better to ride the wave than drown by resisting it ... cheers
