earthkit.meteo.thermo.xarray.virtual_potential_temperature

earthkit.meteo.thermo.xarray.virtual_potential_temperature(t, q, p)

Compute the virtual potential temperature from temperature and specific humidity.

Parameters:

• t (xarray.DataArray) – Temperature (K)

• q (xarray.DataArray) – Specific humidity (kg/kg)

• p (xarray.DataArray) – Pressure (Pa)

Returns:

Virtual potential temperature (K)

Return type:

xarray.DataArray

The computation is based on the following formula:

\[\Theta_{v} = \theta (1 + \frac{1 - \epsilon}{\epsilon} q)\]

where:

• \(\Theta\) is the potential_temperature()

• \(\epsilon = R_{d}/R_{v}\) (see earthkit.meteo.constants.epsilon).