If the assumption is made that the atmosphere is divergence-free, the curl of the Euler equations reduces into the barotropic vorticity equation. This latter equation can be solved over a single layer of the atmosphere. Since the atmosphere at a height of approximately 5.5 kilometres (3.4 mi) is mostly divergence-free, the barotropic model best approximates the state of the atmosphere at a geopotential height corresponding to that altitude, which corresponds to the atmosphere's 500 mb (15 inHg) pressure surface.First of all, where, how, and/ or why do you find information of this sort in general? XD
http://en.wikipedia.org/wiki/Barotropic_vorticity_equation (http://en.wikipedia.org/wiki/Barotropic_vorticity_equation)
http://tutorial.math.lamar.edu/Classes/DE/DE.aspx (http://tutorial.math.lamar.edu/Classes/DE/DE.aspx)
I can tell you what it means, but first I need a cupcake.*Tuto hands FiahOwl a fluffy cupcake*
Seriously, I know.
Well, if the assumption is made that the atmosphere is divergence-free, the curl of the Euler equations reduces into the barotropic vorticity equation. This latter equation can be solved over a single layer of the atmosphere. Since the atmosphere at a height of approximately 5.5 kilometres (3.4 mi) is mostly divergence-free, the barotropic model best approximates the state of the atmosphere at a geopotential height corresponding to that altitude, which corresponds to the atmosphere's 500 mb (15 inHg) pressure surface.Lol, I knew you wouldn't know what it meant.