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.
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DOI
10.1016/j.physd.2014.04.004
Persistent Identifier
https://archives.pdx.edu/ds/psu/36570
Citation Details
Melius, M. S., Tutkun, M., & Cal, R. B. (2014). Solution of the Fokker–Planck equation in a wind turbine array boundary layer. Physica D: Nonlinear Phenomena, 280, 14-21.