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The video seems to show violations of the incompressibility of the fluid, since the density of the dots varies far from uniform. Doesn't this make the model unrealistic? After all, we don't expect parts of the water to be much denser than others, just because there is a wave.
Good question .. my understanding is that this does describe a wave of an incompressible fluid of infinite depth
I think perhaps the density is uniform after all. The dots get closer vertically when they are more distant horizontally.
It is my understanding that the displacements are infinitesimal so each fluid parcel is not actually compressed.
The number of particles (e.g. water molecules) between the sparse grid of dots changes in order to maintain constant density. A Rayleigh in geophysics. In a solid which can support shearing motion this type of approximation does not apply. My take !
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