Anderson, J. D.: Fundamentals of Aerodynamics, McGraw-Hill Series in Aeronautical and Aerospace Engineering, McGraw-Hill Education, New York, NY, 6th edn., ISBN: 978-0073398105, 2017.
a,
b
Biswas, N. and Buxton, O. R.: Effect of tip speed ratio on coherent dynamics in the near wake of a model wind turbine, J. Fluid Mech., 979, A34,
https://doi.org/10.1017/jfm.2023.1095, 2024a.
a
Biswas, N. and Buxton, O. R.: Energy exchanges between coherent modes in the near wake of a wind turbine model at different tip speed ratios, J. Fluid Mech., 996, A8,
https://doi.org/10.1017/jfm.2024.581, 2024b.
a,
b
Bolnot, H.: Instabilités des tourbillons hélicoídaux: application au sillage des rotors, Thèse de doctorat, Aix-Marseille Université,
https://www.sudoc.fr/176153381 (last access: 7 August 2025), 2012.
a,
b
Cerretelli, C. and Williamson, C.: The physical mechanism for vortex merging, J. Fluid Mech., 475, 41–77,
https://doi.org/10.1017/S0022112002002847, 2003.
a,
b,
c,
d
Delbende, I., Selçuk, C., and Rossi, M.: Nonlinear dynamics of two helical vortices: a dynamical system approach, Physical Review Fluids, 6, 084701,
https://doi.org/10.1103/PhysRevFluids.6.084701, 2021.
a,
b,
c,
d,
e,
f,
g,
h,
i,
j,
k
DHPC: DelftBlue Supercomputer (Phase 1),
https://www-tudelft-nl.tudelft.idm.oclc.org/dhpc/ark:/44463/DelftBluePhase1 (last access: 22 May 2025), 2022. a
Ferziger, J. H., Perić, M., and Street, R. L.: Computational Methods for Fluid Dynamics, Springer, 3rd edn.,
https://doi.org/10.1007/978-3-642-56026-2, 2002.
a,
b,
c,
d
Frederik, J. A., Doekemeijer, B. M., Mulders, S. P., and van Wingerden, J.-W.: The helix approach: using dynamic individual pitch control to enhance wake mixing in wind farms, Wind Energy, 23, 1739–1751,
https://doi.org/10.1002/we.2513, 2020.
a
Gupta, B. P. and Loewy, R. G.: Theoretical analysis of the aerodynamic stability of multiple, interdigitated helical vortices, AIAA J., 12, 1381–1387,
https://doi.org/10.2514/3.49493, 1974.
a,
b
Hansen, K. S., Barthelmie, R. J., Jensen, L. E., and Sommer, A.: The impact of turbulence intensity and atmospheric stability on power deficits due to wind turbine wakes at Horns Rev wind farm, Wind Energy, 15, 183–196,
https://doi.org/10.1002/we.512, 2012.
a
Hodgkin, A., Deskos, G., and Laizet, S.: On the interaction of a wind turbine wake with a conventionally neutral atmospheric boundary layer, Int. J. Heat Fluid Fl., 102, 109165,
https://doi.org/10.1016/j.ijheatfluidflow.2023.109165, 2023.
a,
b
Huang, X., Alavi Moghadam, S. M., Meysonnat, P. S., Meinke, M., and Schröder, W.: Numerical analysis of the effect of flaps on the tip vortex of a wind turbine blade, Int. J. Heat Fluid Fl., 77, 336–351,
https://doi.org/10.1016/j.ijheatfluidflow.2019.05.004, 2019.
a
Ivanell, S., Mikkelsen, R., Sørensen, J. N., and Henningson, D.: Stability analysis of the tip vortices of a wind turbine, Wind Energy, 13, 705–715,
https://doi.org/10.1002/we.391, 2010.
a,
b,
c,
d,
e
Jha, P. K., Churchfield, M. J., Moriarty, P. J., and Schmitz, S.: Guidelines for volume force distributions within actuator line modeling of wind turbines on large-eddy simulation-type grids, J. Sol. Energ.-T. ASME, 136, 031003,
https://doi.org/10.1115/1.4026252, 2014.
a,
b,
c,
d
Jonkman, J., Butterfield, S., Musial, W., and Scott, G.: Definition of a 5-MW Reference Wind Turbine for Offshore System Development, Tech. Rep. NREL/TP-500-38060, 947422, National Renewable Energy Laboratory,
https://doi.org/10.2172/947422, 2009.
a,
b
Leishman, J., Bhagwat, M., and Bagai, A.: Free-vortex filament methods for the analysis of helicopter rotor wakes, J. Aircraft, 39, 759–775,
https://doi.org/10.2514/2.3022, 2002.
a
Leweke, T., Le Dizès, S., and Williamson, C. H.: Dynamics and instabilities of vortex pairs, Annu. Rev. Fluid Mech., 48, 507–541,
https://doi.org/10.1146/annurev-fluid-122414-034558, 2016.
a,
b
Li, Q., Murata, J., Endo, M., Maeda, T., and Kamada, Y.: Experimental and numerical investigation of the effect of turbulent inflow on a horizontal axis wind turbine (Part II: Wake characteristics), Energy, 113, 1304–1315,
https://doi.org/10.1016/j.energy.2016.08.018, 2016.
a
Li, Y.: Numerical Investigation of Floating Wind Turbine Wake Interactions Using LES-AL Technique, Master's thesis, Delft University of Technology,
https://resolver.tudelft.nl/uuid:72f91020-0aaf-41b9-a2b4-20ecfccade24 (last access: 1 May 2025), 2023. a
Li, Y., Yu, W., and Sarlak, H.: Wake structures and performance of wind turbine rotor with harmonic surging motions under laminar and turbulent inflows, Wind Energy, 27, 1499–1525,
https://doi.org/10.1002/we.2949, 2024.
a,
b,
c,
d,
e,
f,
g
Li, Y., Yu, W., and Sarlak, H.: Wake interaction of dual surging FOWT rotors in tandem, Renew. Energ., 239, 122062,
https://doi.org/10.1016/j.renene.2024.122062, 2025.
a
Lignarolo, L., Ragni, D., Krishnaswami, C., Chen, Q., Ferreira, C. S., and Van Bussel, G.: Experimental analysis of the wake of a horizontal-axis wind-turbine model, Renew. Energ., 70, 31–46,
https://doi.org/10.1016/j.renene.2014.01.020, 2014.
a,
b,
c
Lignarolo, L. E. M., Ragni, D., Scarano, F., Ferreira, C. J. S., and van Bussel, G. J. W.: Tip-vortex instability and turbulent mixing in wind-turbine wakes, J. Fluid Mech., 781, 467–493,
https://doi.org/10.1017/jfm.2015.470, 2015.
a,
b,
c,
d
Lilly, D. K.: The representation of small-scale turbulence in numerical simulation experiments, in: Proc. IBM sci. comput. symp. on environmental science, November 1966, Boulder, Colorado, 195–210,
https://doi.org/10.5065/D62R3PMM, 1967.
a
Martínez-Tossas, L. A. and Meneveau, C.: Filtered lifting line theory and application to the actuator line model, J. Fluid Mech., 863, 269–292,
https://doi.org/10.1017/jfm.2018.994, 2019.
a
Martínez-Tossas, L., Churchfield, M., and Leonardi, S.: Large eddy simulations of the flow past wind turbines: actuator line and disk modeling, Wind Energy, 18, 1047–1060,
https://doi.org/10.1002/we.1747, 2015.
a,
b
Mascioli, A.: Experimental research on the wake of non-symmetrical rotors, Master's thesis, Università Roma Tre, 2025.
a,
b,
c
Medici, D.: Experimental Studies of Wind Turbine Wakes – Power Optimisation and Meandering, Tech. rep., KTH Royal Institute of Technology, urn:nbn:se:kth:diva-598, 2005.
a,
b
OpenCFD Ltd.: OpenFOAM: User Guide v2312,
https://develop.openfoam.com/Development/openfoam/-/tree/OpenFOAM-v2312 (last access: May 2025), 2023. a
Poletto, R., Craft, T., and Revell, A.: A new divergence free synthetic eddy method for the reproduction of inlet flow conditions for LES, Flow Turbul. Combust., 91, 519–539,
https://doi.org/10.1007/s10494-013-9488-2, 2013.
a
Porté-Agel, F., Wu, Y.-T., Lu, H., and Conzemius, R. J.: Large-eddy simulation of atmospheric boundary layer flow through wind turbines and wind farms, J. Wind Eng. Ind. Aerod., 99, 154–168,
https://doi.org/10.1016/j.jweia.2011.01.011, 2011.
a
Porté-Agel, F., Bastankhah, M., and Shamsoddin, S.: Wind-turbine and wind-farm flows: a review, Bound.-Lay. Meteorol., 174, 1–59,
https://doi.org/10.1007/s10546-019-00473-0, 2020.
a
Quaranta, H. U., Bolnot, H., and Leweke, T.: Long-wave instability of a helical vortex, J. Fluid Mech., 780, 687–716,
https://doi.org/10.1017/jfm.2015.479, 2015.
a,
b,
c,
d,
e,
f,
g,
h,
i
Quaranta, H. U., Brynjell-Rahkola, M., Leweke, T., and Henningson, D.: Local and global pairing instabilities of two interlaced helical vortices, J. Fluid Mech., 863, 927–955,
https://doi.org/10.1017/jfm.2018.904, 2019.
a,
b,
c,
d,
e,
f,
g
Raffel, M., Kähler, C., Willert, C., Wereley, S., Scarano, F., and Kompenhans, J.: Particle Image Velocimetry: A Practical Guide, Springer, 3rd edn.,
https://doi.org/10.1007/978-3-319-68852-7, 2018.
a
Ramos-García, N., Abraham, A., Leweke, T., and Sørensen, J. N.: Multi-fidelity vortex simulations of rotor flows: validation against detailed wake measurements, Comput. Fluids, 255, 105790,
https://doi.org/10.1016/j.compfluid.2023.105790, 2023.
a,
b,
c,
d,
e,
f,
g,
h
Sarlak, H.: Large eddy simulation of turbulent flows in wind energy, PhD thesis, Technical University of Denmark,
https://findit.dtu.dk/en/catalog/546f6f9b7723b2dd6e000099 (last access: 7 August 2025), 2014. a
Sarlak, H., Meneveau, C., and Sørensen, J. N.: Role of subgrid-scale modeling in large eddy simulation of wind turbine wake interactions, Renew. Energ., 77, 386–399,
https://doi.org/10.1016/j.renene.2014.12.036, 2015.
a
Sarlak, H., Nishino, T., Martínez-Tossas, L., Meneveau, C., and Sørensen, J.: Assessment of blockage effects on the wake characteristics and power of wind turbines, Renew. Energ., 93, 340–352,
https://doi.org/10.1016/j.renene.2016.01.101, 2016.
a,
b
Sarmast, S., Dadfar, R., Mikkelsen, R. F., Schlatter, P., Ivanell, S., Sørensen, J. N., and Henningson, D. S.: Mutual inductance instability of the tip vortices behind a wind turbine, J. Fluid Mech., 755, 705–731,
https://doi.org/10.1017/jfm.2014.326, 2014.
a
Selçuk, C., Delbende, I., and Rossi, M.: Helical vortices: linear stability analysis and nonlinear dynamics, Fluid Dyn. Res., 50, 011411,
https://doi.org/10.1088/1873-7005/aa73e3, 2017.
a,
b,
c,
d,
e,
f,
g,
h,
i
Shen, W. Z., Mikkelsen, R., Sørensen, J. N., and Bak, C.: Tip loss corrections for wind turbine computations, Wind Energy, 8, 457–475,
https://doi.org/10.1002/we.153, 2005.
a
Sørensen, J. N., Dag, K. O., and Ramos-García, N.: A refined tip correction based on decambering, Wind Energy, 19, 787–802,
https://doi.org/10.1002/we.1865, 2016.
a
Talavera, M. and Shu, a.: Experimental study of turbulence intensity influence on wind turbine performance and wake recovery in a low-speed wind tunnel, Renew. Energ., 109, 363–371,
https://doi.org/10.1016/j.renene.2017.03.034, 2017.
a
Troldborg, N.: Actuator Line Modeling of Wind Turbine Wakes, PhD thesis, Technical University of Denmark,
https://findit.dtu.dk/en/catalog/537f0c807401dbcc12000c68 (last acccess: 7 August 2025), 2009.
a,
b,
c,
d,
e
Troldborg, N., Larsen, G. C., Madsen, H. A., Hansen, K. S., Sørensen, J. N., and Mikkelsen, R.: Numerical simulations of wake interaction between two wind turbines at various inflow conditions, Wind Energy, 14, 859–876,
https://doi.org/10.1002/we.433, 2011.
a
van der Hoek, D., den Abbeele, B. V., Simao Ferreira, C., and van Wingerden, J.-W.: Maximizing wind farm power output with the helix approach: experimental validation and wake analysis using tomographic particle image velocimetry, Wind Energy, 27, 463–482,
https://doi.org/10.1002/we.2896, 2024.
a
van Kuik, G. A. M., Peinke, J., Nijssen, R., Lekou, D., Mann, J., Sørensen, J. N., Ferreira, C., van Wingerden, J. W., Schlipf, D., Gebraad, P., Polinder, H., Abrahamsen, A., van Bussel, G. J. W., Sørensen, J. D., Tavner, P., Bottasso, C. L., Muskulus, M., Matha, D., Lindeboom, H. J., Degraer, S., Kramer, O., Lehnhoff, S., Sonnenschein, M., Sørensen, P. E., Künneke, R. W., Morthorst, P. E., and Skytte, K.: Long-term research challenges in wind energy – a research agenda by the European Academy of Wind Energy, Wind Energ. Sci., 1, 1–39,
https://doi.org/10.5194/wes-1-1-2016, 2016.
a
Wang, L., Liu, X., Wang, N., and Li, M.: Propeller wake instabilities under turbulent-inflow conditions, Phys. Fluids, 34, 085108,
https://doi.org/10.1063/5.0101977, 2022.
a
Yen, P. C., Li, Y., Scarano, F., and Yu, W.: Supplementary animations and cases settings for the publication “Near wake behavior of an asymmetric wind turbine rotor”, 4TU.ResearchData [data set],
https://doi.org/10.4121/7595b9e0-4326-4027-b5ba-98f50253f0ea, 2025.
a,
b,
c,
d,
e,
f
