Wind Energy Science
Wind Energy Science
WES
Articles | Volume 8, issue 12
Articles | Volume 8, issue 12
https://doi.org/10.5194/wes-8-1853-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/wes-8-1853-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 8, issue 12
Research article
 | 
13 Dec 2023
Research article |  | 13 Dec 2023

An analytical linear two-dimensional actuator disc model and comparisons with computational fluid dynamics (CFD) simulations

Helge Aagaard Madsen

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Cited articles

Boorsma, K., Schepers, G., Aagard Madsen, H., Pirrung, G., Sørensen, N., Bangga, G., Imiela, M., Grinderslev, C., Meyer Forsting, A., Shen, W. Z., Croce, A., Cacciola, S., Schaffarczyk, A. P., Lobo, B., Blondel, F., Gilbert, P., Boisard, R., Höning, L., Greco, L., Testa, C., Branlard, E., Jonkman, J., and Vijayakumar, G.: Progress in the validation of rotor aerodynamic codes using field data, Wind Energ. Sci., 8, 211–230, https://doi.org/10.5194/wes-8-211-2023, 2023. a
Bortolotti, P., Kapila, A., and Bottasso, C. L.: Comparison between upwind and downwind designs of a 10 MW wind turbine rotor, Wind Energ. Sci., 4, 115–125, https://doi.org/10.5194/wes-4-115-2019, 2019. a
Bortolotti, P., Ivanov, H., Johnson, N., Barter, G. E., Veers, P., and Namura, N.: Challenges, opportunities, and a research roadmap for downwind wind turbines, Wind Energy, 25, 354–367, https://doi.org/10.1002/we.2676, 2022. a
Bossanyi, E.: Bladed 4.15 Documentation, https://dnvgldocs.azureedge.net/Bladed 4.15 Theory Manual/index.html (last access: 11 December 2023), 2003. a
Bottasso, C., Croce, A., Savini, B., Sirchi, W., and Trainelli, L.: Aero-servo-elastic modeling and control of wind turbines using finite-element multibody procedures, in: Multibody System Dynamics 16, 291–308, https://doi.org/10.1007/s11044-006-9027-1, 2006. a
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We present a linear analytical solution for a two-dimensional (2-D) actuator disc (AD) for a plane disc, a yawed disc and a coned disc. Comparisons of the 2-D model with three-dimensional computational fluid dynamics (CFD) AD simulations for a circular yawed disc and with an axis-symmetric CFD simulation of a coned disc show good correlation for the normal velocity component of the disc. This indicates that the 2-D AD model could form the basis for a consistent, simple new rotor induction model.
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