pvtend.div_spherical

pvtend.div_spherical(Ax: ndarray, Ay: ndarray, lat_rad: ndarray, dphi: float, dlambda: float, periodic: bool = True) → ndarray

Spherical divergence of a 2-D vector field (Aλ, Aφ).

Matches LOG20 div.m:

\[\nabla\cdot\mathbf{A} = \frac{1}{a\cos\varphi}\frac{\partial A_\lambda}{\partial\lambda} + \frac{1}{a\cos\varphi} \frac{\partial(A_\varphi\cos\varphi)}{\partial\varphi}\]

Parameters:

• Ax – Zonal component, 2-D (nlat, nlon).

• Ay – Meridional component, 2-D (nlat, nlon).

• lat_rad – Latitude in radians, shape (nlat,).

• dphi – Meridional spacing [rad].

• dlambda – Zonal spacing [rad].

• periodic – Periodic zonal boundary.

Returns:

Scalar divergence field, (nlat, nlon).