earthkit.meteo.thermo.potential_temperature

earthkit.meteo.thermo.potential_temperature(t: ArrayLike, p: ArrayLike) → ArrayLike

earthkit.meteo.thermo.potential_temperature(t: xarray.DataArray, p: xarray.DataArray) → xarray.DataArray

earthkit.meteo.thermo.potential_temperature(t: earthkit.data.FieldList, p: earthkit.data.FieldList | None = None) → earthkit.data.FieldList

Compute the potential temperature.

Parameters:

• t (number or array-like) – Temperature (K)

• p (number or array-like) – Pressure (Pa)

Returns:

Potential temperature (K)

Return type:

number or array-like

The computation is based on the following formula [Wallace2006]:

\[\theta = t \left(\frac{10^{5}}{p}\right)^{\kappa}\]

with \(\kappa = R_{d}/c_{pd}\) (see earthkit.meteo.constants.kappa).

Implementations

potential_temperature() calls one of the following implementations depending on the type of the input arguments:

• earthkit.meteo.thermo.array.potential_temperature() for array-like

• earthkit.meteo.thermo.xarray.potential_temperature() for xarray.DataArray

• earthkit.meteo.thermo.fieldlist.potential_temperature() for FieldList

The function returns an object of the same type as the input arguments.