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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Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by David Wood on behalf of the Authors (13 Apr 2018)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (20 Apr 2018) by Alessandro Bianchini
RR by Wang Xiaodong (01 May 2018)
RR by Joseph Saverin (04 May 2018)
ED: Publish as is (07 May 2018) by Alessandro Bianchini
ED: Publish subject to technical corrections (09 May 2018) by Gerard J.W. van Bussel(Chief Editor)
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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.