-- Part of what video [1] says about the Bernoulli principle
is wrong.
In particular, the timing and alignment of the arrows in the
video is incorrect, as is the associated narration. In fact,
air flowing above and below the wing does not arrive at the
trailing edge at the same time. The air that goes over the
top arrives earlier, even though it traveled a longer path.
This is due to circulation. Here's the correct timing: https://www.av8n.com/irro/lecture_e.html
-- Given a known correct velocity field, applying Bernoulli's
principle is straightforward. The tricky bit is calculating
the velocity field. The calculation for the outside of a
wing is vastly more complicated than for the inside of a
venturi. If the video had used a venturi analogy rather than
a wing analogy, several of the details would have been more
correct.
-- Friction does not simply drag the peaks downwind; it spins
up circulation. Vortices. So the top of the wave gets wrapped
into a fiddle-head shape.
There is of course a ton of vorticity in the boundary layer
between the two fluids, even before the K-H waves form.