potential_vorticity_barotropic¶
- metpy.calc.potential_vorticity_barotropic(height, u, v, dx=None, dy=None, latitude=None, x_dim=- 1, y_dim=- 2)¶
Calculate the barotropic (Rossby) potential vorticity.
\[PV = \frac{f + \zeta}{H}\]This formula is based on equation 7.27 [Hobbs2006].
- Parameters
height ((…, M, N)
xarray.DataArray
orpint.Quantity
) – atmospheric heightu ((…, M, N)
xarray.DataArray
orpint.Quantity
) – x component of the windv ((…, M, N)
xarray.DataArray
orpint.Quantity
) – y component of the winddx (
pint.Quantity
, optional) – The grid spacing(s) in the x-direction. If an array, there should be one item less than the size of u along the applicable axis. Optional ifxarray.DataArray
with latitude/longitude coordinates used as input.dy (
pint.Quantity
, optional) – The grid spacing(s) in the y-direction. If an array, there should be one item less than the size of u along the applicable axis. Optional ifxarray.DataArray
with latitude/longitude coordinates used as input.latitude (
pint.Quantity
, optional) – Latitude of the wind data. Optional ifxarray.DataArray
with latitude/longitude coordinates used as input. Note that an argument without units is treated as dimensionless, which translates to radians.x_dim (int, optional) – Axis number of x dimension. Defaults to -1 (implying […, Y, X] order). Automatically parsed from input if using
xarray.DataArray
.y_dim (int, optional) – Axis number of y dimension. Defaults to -2 (implying […, Y, X] order). Automatically parsed from input if using
xarray.DataArray
.
- Returns
(…, M, N)
xarray.DataArray
orpint.Quantity
– barotropic potential vorticity
Changed in version 1.0: Changed signature from
(heights, u, v, dx, dy, lats, dim_order='yx')