A0_QGPV_factor

multiplicative factor that multiplies \(A_0\) to compute quasigeostrophic potential vorticity (QGPV).

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Description

Real valued property with dimensions \((j,kl)\) and units of \(m^{-1} s^{-1}\).

Discussion

These coefficients multiply \(A_0\) to give quasigeostrophic potential vorticity (QGPV).

For \(j>0\), both the geostrophic (\(K_h>0\)) and mean-density anomaly (\(K_h=0\)) modes have coefficients computed with

\[\textrm{QGPV}^{klj} = -\frac{g}{f_0} \left( K^2 + L_r^{-2} \right)\]

where \(L_r^2 = \frac{g h}{f_0^2}\) is the squared Rossby radius of deformation for each mode.

In the case of a rigid-lid there exists a the barotropic mode with no vortex stretching and thus,

\[\textrm{QGPV}^{kl0} = -\frac{g}{f_0} K^2\]

for the \(j=0\) barotropic mode.