A0_QGPV_factor

multiplicative factor that multiplies $A_{0}$ to compute quasigeostrophic potential vorticity (QGPV).

Description

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

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

{QGPV}^{k l j} = - \frac{g}{f_{0}} (K^{2} + L_{r}^{- 2})

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,

{QGPV}^{k l 0} = - \frac{g}{f_{0}} K^{2}

for the $j = 0$ barotropic mode.