«Transform Method for Calculation of Vector - Coupled Sums: Application to the Spectral
Form of the Vorticity Equation.»
1970 S.A. Orszag, «Transform Method for Calculation of Vector - Coupled Sums: Application to the Spectral
Form of the Vorticity Equation.»
Not exact matches
When a storm
forms, it spins in one direction at the surface, and the opposite direction toward the upper atmosphere, creating a «dipole
of vorticity.»
article by Heinz and me (reference available on request), once the minimal scale (smallest scale feature
of vorticity) is properly resolved by a numerical model, the correct Navier - Stokes dissipation
form (second order derivatives) can be used and produces the correct spatial spectrum, i.e. the numerical solutions converge.
Thus the hyperviscosity is larger at lower resolutions in order to keep the smaller scales
of vorticity that appear in the higher resolutions from
forming.
Meteorologically speaking, that extra
vorticity — literally a measure
of energy causing the atmosphere to
form complex features at the local level — could bring a foot
of snow in only a few hours over very narrow strips.