3D numerical simulation of interaction between aligned Vertical-Axis Turbines within a farm: The case of Tidal Turbines

  • Affiliations:

    1 Faculty of Petroleum and Energy, Hanoi University of Mining and Geology, Hanoi, Vietnam
    2 Laboratoire Universitaire des Sciences Appliquées de Cherbourg (LUSAC), Caen-Normandy University (UNICAEN), France

  • *Corresponding:
    This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Received: 14th-Aug-2025
  • Revised: 28th-Nov-2025
  • Accepted: 18th-Dec-2025
  • Online: 31st-Dec-2025
Pages: 16 - 28
Views: 13
Downloads: 0
Rating: , Total rating: 0
Yours rating

Abstract:

Vertical Axis Turbines (VATs) are devices used to extract kinetic energy from natural flows and convert it to electricity. In the past, VATs received less attention than Horizontal Axis Turbines (HATs). Recently, considerable research has focused on this type of turbine for applications in both wind and tidal power due to their distinct advantages over HATs. Understanding the interaction between the VATs within an array remains a complex issue, particularly regarding wake interactions and flow recovery downstream of each turbine. This paper presents the results of research on the interaction between Vertical Axis Tidal Turbines (VATTs) within an array. Turbines are modeled using the Actuator Cylinder theory. Simulations are conducted in ANSYS Fluent employing the standard k–ε turbulence model. First, a single turbine model is validated by comparing the normal and tangential forces acting on its blades with experimental data from Strickland’s study. Then, the interaction between two aligned turbines is analyzed. The distances considered are 3D, 7.5D, 15D, and 20D (where D represents the turbine diameter). The research results show that increasing the distance between turbines leads to faster recovery of flow energy for the downstream turbine. The flow velocity recovers to 42% of the free-stream velocity at a distance of 7.5D, and reaches 70% at 15D. The results of the research indicate that a 15D spacing is an appropriate distance for enhancing flow energy recovery for the downstream turbine. These findings are important for determining the optimal spacing between aligned VATTs within an array to ensure maximum efficiency in energy extraction from the flow.

How to Cite
., T.Van Nguyen and Guillou, S.S. 2025. 3D numerical simulation of interaction between aligned Vertical-Axis Turbines within a farm: The case of Tidal Turbines (in Vietnamese). Journal of Mining and Earth Sciences. 1, 67 (Dec, 2025), 16-28. DOI:https://doi.org/10.46326/JMES.2026.67(1).02.
References

Nguyễn Văn Thịnh. (2024). Nghiên cứu phương pháp mô phỏng turbine trục đứng trong không gian 2 chiều dựa trên lý thuyết của mô hình Actuator Cylinder. Tạp chí Khoa học Kỹ thuật Mỏ- Địa chất, 65, 5, 1-9.

Abdolrahim, R., Ivo, K., Bert, B. (2017). CFD simulation of a vertical axis wind turbine operating at a moderate tip speed ratio: Guidelines for minimum domain size and azimuthal increment. Renewable Energy, 107, 373-385. http://dx.doi.org/10.1016/j.renene.2017.02.006.

Ansys Fluent Theory Guide, ANSYS Inc, 2010.

Bachant, P., Goude, A., Wosnik, M. (2016). Actuator line modeling of vertical-axis turbines. Wind Energy, 1-23.

Bahaj, A.S., Myers L.E., Thomson, M.D and Jorge, N. (2007a). Characterising the wake of horizontal axis marine current turbines. Proceedings of the 7th European Wave and Tidal Energy Conference, Porto, Portugal.

Bahaj, A.S., Batten, W.M.J., McCann, G. (2007b). Experimental verifications of numerical predictions for the hydrodynamic performance of horizontal axis marine current turbines. Renewable Energy, 32, 2479–2490.https://doi.org/10.1016/j.renene.2007.10.001.

Bai, G., Li, J., Fan, P., Li, G. (2013). Numerical investigations of the effects of different arrays on power extractions of horizontal axis tidal current turbines. Renewable Energy, 53, 180-186. https://doi.org/10.1016/j.renene.2012.10.048.

Launder, B.E and Spalding, D.B. (1974). The numerical computation of turbulent flow, Comput Methods Appl Mech Eng, 3, 269-289.

Lin, X., Zhang, J., Zheng, J., Liu, S. (2024). Performance and wake interaction between two aligned vertical axis turbines. Ocean Engineering, 292, 1-13. https://doi.org/10.1016/j.oceaneng.2023.116478.

Madsen, H.A. (1982). The Actuator Cylinder, A Flow Model for Vertical Axis Wind Turbines. PhD thesis, Aalborg University.

Michelet, N., Guillou, N., Chapalain, G., Thiébot, J., Guillou, S., Goward Brown, A.J., Neill, S.P. (2020). Three-dimensional modelling of turbine wake interactions at a tidal stream energy site, Applied Ocean Research, 95. 1-11. https://doi.org/10.1016/j.apor.2019.102009.

Myers, L.E and Bahaj, A.S. (2005). Simulated electrical power potential harnessed by marine current turbine arrays in the Alderney Race. Renew Energy, 30, 1713–1731. https://doi.org/10.1016/j.renene.2005.02.008.

Nguyen, V.T., Guillou, S., Thiébot, J., Santa Cruz, A. (2014). Numerical simulation of a pilot tidal farm using actuator disks, influence of a time-varying current direction. Grand Renewable Energy 2014 Proceeding, O-Oc-6-1, Tokyo Japan, 8p.

Nguyen, V.T., Guillou, S.S., Thiébot, J., Santa Cruz, A. (2016). Modelling turbulence with an Actuator Disk representing a tidal turbine. Renewable Energy, 97, 625-635. http://dx.doi.org/10.1016/j.renene.2016.06.014.

Nguyen, V.T., Santa Cruz, A., Guillou, S.S., Elsouk, M.N.S., Thiébot, J. (2019). Effects of the Current Direction on the Energy Production of a Tidal Farm: The Case of Raz Blanchard (France). Energies, 12, 2478, 1-20. https://doi.org/10.3390/en12132478.

Palm, M., Huijsmans, R., Pourquie, M, (2011). The Applicability of Semi-Empirical Wake Models for Tidal Farms. Proceedings of the 9th European Wave and Tidal Energy Conference, Southampton, UK.

Pucci, M., Spina, R., Zanforlin, S. (2024). Vertical-Axis Tidal Turbines: Model Development and Farm Layout Design. Energies, 17, 2366, 1-21. https://doi.org/10.3390/en17102366.

Rajagopalan, R.G., Fanucci, J.B. (1985). Finite difference model for vertical-axis wind turbines. AIAA Journal of Propulsion and Power, 1, 432-436. https://doi.org/10.2514/3.22824.

Roc, T., Conley, D.C., Greaves, D. (2013). Methodology for tidal turbine representa-tion in ocean circulation model. Renewable Energy, 51, 448-464. https://doi.org/10.1016/j.renene.2012.09.039.

Roc, T., Greaves, D., Thyng, K.M., Conley, D.C. (2014). Tidal turbine representation: towards realistic applications. Ocean Engineering, 78, 95-111. https://doi.org/10.1016/j.oceaneng.2013.11.010.

Shamsoddin S and Porté-Agel F. (2014). Large Eddy Simulation of Vertical Axis Wind Turbine Wakes. Energies, 7, 890-912. https://doi.org/10.3390/en7020890.

Sheldahl, R.E., Klimas, P.C. (1981). Aerodynamic Characteristics of Seven Symmetrical Airfoil Sections Through 180-Degree Angle of Attach for Use in Aerodynamic Analysis of Vertical Axis Wind Turbines. Report SAND80-2114, Sandia National Laboratories.

Shen, W.Z., Zhang, J.H., Sørensen J.N. (2009). The actuator surface model: A new Navier–Stokes based model for rotor computations. Journal of Solar Energy Engineering, 131, 011002-1-011002-9.https://doi.org/10.1115/1.3027502.

Shives, M and Crawford C. (2016). Adapted two-equation turbulence closures for actuator disk RANS simulations of wind and tidal turbine wakes. Renewable Energy, 92, 273–292. https://doi.org/10.1016/j.renene.2016.02.026.

Strickland, J.H., Webster, B.T., Nguyen, T.A. (1979). Vortex model of the Darrieus turbine: an analytical and experimental study. Trans ASME Journal of Fluids Engineering, 101, 500-505.

Sudhamshu, A.R., Pandey, M.C., Sunil, N., Satish, N.S., Mugundhan, V., Velamati, R.K. (2016). Numerical study of effect of pitch angle on performance characteristics of a HAWT. Engineering Science and Technology, an International Journal, 19, 632–641.  https://doi.org/10.1016/j.jestch.2015.09.010

Suhri, G. E., Rahman, A., Dass, L., Rajendran, K. (2021). The influence of tidal turbine arrangement on the wake interaction in shallow water. Journal of Physics: Conference Series, 2051, 1-7.

Sun, K., Ji, R., Zhang, J., Li, Y., Wang, B. (2021). Investigations on the hydrodynamic interference of the multi-rotor vertical axis tidal current turbine. Renewable Energy, 169, 752–764. https://doi.org/10.1016/j.renene.2021.01.055.

Ye, L. (2008). Development of a procedure for predicting power generated from a tidal current turbine farm. PhD thesis, British Columbia University.

Other articles