A0_TE_factor

multiplicative factor that multiplies \(A_0^2\) to compute total energy.

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Description

Real valued property with dimensions \((j,kl)\) and units of \(m s^{-2}\).

Discussion

These coefficients multiply \(A_0^2\) to give a horizontally-averaged depth-integrated total energy for the geostrophic solutions.

Assuming hydrostatic modes, this is

\[E = \frac{g}{2} \left( \frac{gh}{f_0^2} K^2 + 1 \right)\]

for the \(j>0\) modes and

\[E = \frac{g^2 L_z}{2f_0^2} K^2\]

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