Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations
Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations
The hydrostatic primitive equations (HPEs) form the basis of most numerical weather, climate, and global ocean circulation models. Analytical (not statistical) methods are used to find a scaling proportional to ${\left(\mathrm{Nu}\phantom{\rule{0.16em}{0ex}}\mathrm{Ra}\phantom{\rule{0.16em}{0ex}}\mathrm{Re}\right)}^{1/4}$ for the range of horizontal spatial sizes in HPE solutions, which is much broader than is currently achievable computationally. …