A circle of fluid, 0.90 of a gradient time later
A material circle in a uniform velocity gradient, carried by the exact matrix exponential of that gradient. It becomes an ellipse — always an ellipse, for every gradient — and the axes it stretches along are the eigenvectors of the symmetric half. In an incompressible flow the area is unchanged however extreme the distortion, which is the statement that stretching in one direction is squashing in the other.
2 essays call
parcel-split. 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 parcel-split 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.
- What a parcel does in the first instant Flows and fields
- The spin that feeds itself Flows and fields