Ten unknowns, four equations
What is left after the Navier–Stokes equations are averaged. The mean velocities and mean pressure were there before; the six Reynolds stresses are new, and they arrived from the one term that does not average away. Nothing in the count is an approximation — the averaged equations are exact — and that is what makes the gap uncomfortable.
6 essays call
closure-count. 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 closure-count 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 averaging costs Transition and turbulence
- The ladder that never closes Transition and turbulence
- The mean is not the flow Flows and fields
- The one exact result Transition and turbulence
- Turbulent some of the time Transition and turbulence
- A closure with no memory at all Transition and turbulence