The growth rate a discretised sheet has, at every wavelength it can carry
Kelvin–Helmholtz gives a growth rate proportional to the wavenumber and without bound. A sheet represented by N point vortices has pi m (1 − m/N) instead — the same rate at long waves and half of it at the shortest wave the grid carries, with the fastest-growing mode at the grid scale itself. Smoothing the kernel over a length delta moves that mode back to a wavelength the physics chose.
13 essays call
ideal-limit. The drawing above is what it returns with no arguments at all; every
call below passes it something, because a placement that passes nothing draws whichever member
of the family the generator happens to default to rather than the one its essay argues about.
It is also the blast radius. Changing ideal-limit changes every figure listed here
at once, and on this site it may change what they assert as well as what they show —
which is what has to be rebuilt and looked at before the change is believed.
Where it is called
What each of these essays asks for instead of the defaults is on the regime index, which reads the parameters back out of the finished figures rather than out of the placements.
- A sheet that cannot stay a sheet Ideal flow
- The shape a vortex keeps Ideal flow
- The part of the flow inside the body Ideal flow
- The swirl that holds a wave still Ideal flow
- The constant a hole leaves behind Ideal flow
- The drag that is made of waves Ideal flow
- What a point vortex is not Ideal flow
- The corners that can be done with mirrors Ideal flow
- The length the limit invents Ideal flow
- A spiral is a legible record Ideal flow
- Reversible, and unusable Ideal flow
- Nothing in the present picks the flow Ideal flow
- Past three, an ellipse is a shear layer Ideal flow