"""algorithm to compute the potential temperature theta in K."""
# Third-party
import xarray as xr
# Local
from .. import metadata
from .. import physical_constants as pc
[docs]
def compute_theta(p: xr.DataArray, t: xr.DataArray) -> xr.DataArray:
"""Potential temperature in K.
Parameters
----------
p : xarray.DataArray
pressure in Pa
t : xarray.DataArray
air temperature in K
Returns
-------
xarray.DataArray
potential temperature in K
"""
# Reference surface pressure for computation of potential temperature
p0 = 1.0e5
return xr.DataArray(
data=(p0 / p) ** pc.rdocp * t,
attrs=metadata.override(p.message, shortName="PT"),
)