tke

metpy.calc.tke(u, v, w, perturbation=False, axis=-1)

Compute turbulence kinetic energy.

Compute the turbulence kinetic energy (e) from the time series of the velocity components.

Parameters:

• u (array-like) – The wind component along the x-axis

• v (array-like) – The wind component along the y-axis

• w (array-like) – The wind component along the z-axis

• perturbation (bool, optional) – True if the u, v, and w components of wind speed supplied to the function are perturbation velocities. If False, perturbation velocities will be calculated by removing the mean value from each component.

• axis (int) – The index of the time axis. Default is -1

Returns:

array-like – The corresponding turbulence kinetic energy value

See also

get_perturbation

Used to compute perturbations if perturbation is False.

Notes

Turbulence Kinetic Energy is computed as:

$$e=0.5\sqrt{\overline{u^{\prime 2}}+\overline{v^{\prime 2}}+\overline{w^{\prime 2}}},$$

where the velocity components

$$u^{\prime },v^{\prime },u^{\prime }$$

are perturbation velocities. For more information on the subject, please see [Garratt1994].