Articles | Volume 3, issue 1
Wind Energ. Sci., 3, 345–352, 2018
https://doi.org/10.5194/wes-3-345-2018
Wind Energ. Sci., 3, 345–352, 2018
https://doi.org/10.5194/wes-3-345-2018

Research article 07 Jun 2018

Research article | 07 Jun 2018

The second curvature correction for the straight segment approximation of periodic vortex wakes

David H. Wood

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Cited articles

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Govindarajan, B. M. and Leishman, J. G.: Curvature Corrections to Improve the Accuracy of Free-Vortex Methods, J. Aircraft, 53, 378–386, 2016. a, b, c
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Short summary
The vortices in the wakes of wind turbines are often approximated by short, straight vortex segments, which cannot reproduce the curvature singularity in the induced velocity. They can also have a second error due to the periodicity: the vortices return to close proximity of the point at which the velocity is calculated. The second error is assessed by representing the far wake of a turbine as a row of vortex rings. The error is quantified and a simple correction is developed.