earthkit.meteo.vertical.geometric_height_from_geopotential_height

earthkit.meteo.vertical.geometric_height_from_geopotential_height(gh: ArrayLike, R_earth: float = constants.R_earth) → ArrayLike
earthkit.meteo.vertical.geometric_height_from_geopotential_height(gh: xarray.DataArray, R_earth: float = constants.R_earth) → xarray.DataArray
earthkit.meteo.vertical.geometric_height_from_geopotential_height(gh: earthkit.data.FieldList, R_earth: float = constants.R_earth) → earthkit.data.FieldList

Compute the geometric height from geopotential height.

Parameters:

  • gh (array-like | xarray.DataArray | FieldList) – Geopotential height (m).

  • R_earth (float, optional) – Average radius of the Earth (m). Default is earthkit.meteo.constants.R_earth.

Returns:

Geometric height (m).

Return type:

array-like | xarray.DataArray | FieldList

The computation is based on the following formula:

\[h = \frac{R_{earth} \cdot gh}{R_{earth} - gh}\]

where \(R_{earth}\) is the average radius of the Earth (see earthkit.meteo.constants.R_earth).

Implementations

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

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