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.

  • 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


array-like – The corresponding turbulence kinetic energy value

See also


Used to compute perturbations if perturbation is False.


Turbulence Kinetic Energy is computed as:

\[e = 0.5 \sqrt{\overline{u^{\prime2}} + \overline{v^{\prime2}} + \overline{w^{\prime2}}},\]

where the velocity components

\[u^{\prime}, v^{\prime}, u^{\prime}\]

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