Title

Solution of the Fokker–Planck Equation in a Wind Turbine Array Boundary Layer

Published In

Physica D: Nonlinear Phenomena

Document Type

Citation

Publication Date

7-2014

Abstract

Hot-wire velocity signals from a model wind turbine array boundary layer flow wind tunnel experiment are analyzed. In confirming Markovian properties, a description of the evolution of the probability density function of velocity increments via the Fokker–Planck equation is attained. Solution of the Fokker–Planck equation is possible due to the direct computation of the drift and diffusion coefficients from the experimental measurement data which were acquired within the turbine canopy. A good agreement is observed in the probability density functions between the experimental data and numerical solutions resulting from the Fokker–Planck equation, especially in the far-wake region. The results serve as a tool for improved estimation of wind velocity within the array and provide evidence that the evolution of such a complex and turbulent flow is also governed by a Fokker–Planck equation at certain scales.

Rights

Copyright © 2014 Elsevier B.V. All rights reserved.

DOI

10.1016/j.physd.2014.04.004

Persistent Identifier

https://archives.pdx.edu/ds/psu/36570

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