[mesa-users] Removing singletons (single zone convection)

David Arnett wdarnett at gmail.com
Mon Apr 22 19:27:43 EDT 2013

I have a more precise argument, but here is the short, quick and dirty one:

In order to turn the convective motion around (and have a limited velocity
field) an acceleration of magnitude ~u**2/\delta r must be applied outside
the "schwarzschild convective" region. In a convective region, the kinetic
energy comes from buoyant driving over a path length, which is proportional
to \delta r for single zone convection. The flux is the dominant variable,
and when roughly constant, implies u**3 is roughly constant, so since in
the steady state of driving equal damping, we have u ~ \delta r, and F ~
\delta r **3. Small zones should have little effect. QED ;-)

So removing singletons is very likely to be OK.

David Arnett
Regents Professor
Steward Observatory
University of Arizona

Facts are stubborn, but statistics are more pliable.  Mark Twain
Facts do not cease to exist because they are ignored.  Aldous Huxley
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