Empirical modeling of single-wake advection and expansion using full-scale pulsed lidar-based measurements

Ewan Machefaux, Gunner Chr. Larsen, Niels Troldborg, Mac Gaunaa, Andreas Rettenmeier

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Abstract

In the present paper, single-wake dynamics have been studied both experimentally and numerically. The use of pulsed lidar measurements allows for validation of basic dynamic wake meandering modeling assumptions. Wake center tracking is used to estimate the wake advection velocity experimentally and to obtain an estimate of the wake expansion in a fixed frame of reference. A comparison shows good agreement between the measured average expansion and the Computational Fluid Dynamics (CFD) large eddy simulation–actuator line computations. Frandsen’s expansion model seems to predict the wake expansion fairly well in the far wake but lacks accuracy in the outer region of the near wake. An empirical relationship, relating maximum wake induction and wake advection velocity, is derived and linked to the characteristics of a spherical vortex structure. Furthermore, a new empirical model for single-wake expansion is proposed based on an initial wake expansion in the pressure-driven flow regime and a spatial gradient computed from the large-scale lateral velocities, and thus inspired by the basic assumption behind the dynamic wake meandering model. Copyright © 2014 John Wiley & Sons, Ltd.
Original languageEnglish
JournalWind Energy
Volume18
Pages (from-to)2085–2103
Number of pages19
ISSN1095-4244
DOIs
Publication statusPublished - 2015

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