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

Wood, David H.

doi:https://doi.org/10.5194/wes-3-345-2018

Articles | Volume 3, issue 1

https://doi.org/10.5194/wes-3-345-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/wes-3-345-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 3, issue 1

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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Final revised paper (published on 07 Jun 2018)
Preprint (discussion started on 17 Jan 2018)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Comments on wes-2018-1-manuscript-version3', Wang Xiaodong, 15 Mar 2018
RC2: 'Interactive comment on “The Second Curvature Correction for the Straight Segment Approximation of Periodic Vortex Wakes” by David H. Wood', Joseph Saverin, 16 Mar 2018
EC1: 'Revision required', Alessandro Bianchini, 19 Mar 2018
- AC1: 'response to reviewer comments', David Wood, 13 Apr 2018

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)

AR by David Wood on behalf of the Authors (20 May 2018) Manuscript

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.