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On the Courant–Friedrichs–Lewy criterion of rotating grids in 2D vertical-axis wind turbine analysis

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  • Trivellato, F.
  • Raciti Castelli, M.

Abstract

The Courant–Friedrichs–Lewy (CFL) criterion for the stability of numerical schemes is herein investigated at the conservative interface that divides rotating grids embedded within fixed grids. This issue is of specific interest to correctly assess the power coefficient and the energy production of vertical-axis wind turbines (VAWTs).

Suggested Citation

  • Trivellato, F. & Raciti Castelli, M., 2014. "On the Courant–Friedrichs–Lewy criterion of rotating grids in 2D vertical-axis wind turbine analysis," Renewable Energy, Elsevier, vol. 62(C), pages 53-62.
  • Handle: RePEc:eee:renene:v:62:y:2014:i:c:p:53-62
    DOI: 10.1016/j.renene.2013.06.022
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    References listed on IDEAS

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    1. McTavish, S. & Feszty, D. & Sankar, T., 2012. "Steady and rotating computational fluid dynamics simulations of a novel vertical axis wind turbine for small-scale power generation," Renewable Energy, Elsevier, vol. 41(C), pages 171-179.
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    5. Raciti Castelli, Marco & Dal Monte, Andrea & Quaresimin, Marino & Benini, Ernesto, 2013. "Numerical evaluation of aerodynamic and inertial contributions to Darrieus wind turbine blade deformation," Renewable Energy, Elsevier, vol. 51(C), pages 101-112.
    6. Hwang, In Seong & Lee, Yun Han & Kim, Seung Jo, 2009. "Optimization of cycloidal water turbine and the performance improvement by individual blade control," Applied Energy, Elsevier, vol. 86(9), pages 1532-1540, September.
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    Cited by:

    1. Ghazalla, R.A. & Mohamed, M.H. & Hafiz, A.A., 2019. "Synergistic analysis of a Darrieus wind turbine using computational fluid dynamics," Energy, Elsevier, vol. 189(C).
    2. Daróczy, László & Janiga, Gábor & Petrasch, Klaus & Webner, Michael & Thévenin, Dominique, 2015. "Comparative analysis of turbulence models for the aerodynamic simulation of H-Darrieus rotors," Energy, Elsevier, vol. 90(P1), pages 680-690.
    3. Wekesa, David Wafula & Wang, Cong & Wei, Yingjie & Kamau, Joseph N. & Danao, Louis Angelo M., 2015. "A numerical analysis of unsteady inflow wind for site specific vertical axis wind turbine: A case study for Marsabit and Garissa in Kenya," Renewable Energy, Elsevier, vol. 76(C), pages 648-661.
    4. Rezaeiha, Abdolrahim & Kalkman, Ivo & Blocken, Bert, 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, Elsevier, vol. 107(C), pages 373-385.
    5. Balduzzi, Francesco & Bianchini, Alessandro & Maleci, Riccardo & Ferrara, Giovanni & Ferrari, Lorenzo, 2016. "Critical issues in the CFD simulation of Darrieus wind turbines," Renewable Energy, Elsevier, vol. 85(C), pages 419-435.
    6. Trivellato, F. & Raciti Castelli, M., 2015. "Appraisal of Strouhal number in wind turbine engineering," Renewable and Sustainable Energy Reviews, Elsevier, vol. 49(C), pages 795-804.
    7. Carlo Cintolesi & Francesco Barbano & Silvana Di Sabatino, 2021. "Large-Eddy Simulation Analyses of Heated Urban Canyon Facades," Energies, MDPI, vol. 14(11), pages 1-22, May.
    8. Arab, A. & Javadi, M. & Anbarsooz, M. & Moghiman, M., 2017. "A numerical study on the aerodynamic performance and the self-starting characteristics of a Darrieus wind turbine considering its moment of inertia," Renewable Energy, Elsevier, vol. 107(C), pages 298-311.
    9. Mohamed, M.H., 2016. "Reduction of the generated aero-acoustics noise of a vertical axis wind turbine using CFD (Computational Fluid Dynamics) techniques," Energy, Elsevier, vol. 96(C), pages 531-544.
    10. Trentin, Pedro Francisco Silva & Martinez, Pedro Henrique Barsanaor de Barros & dos Santos, Gabriel Bertacco & Gasparin, Elóy Esteves & Salviano, Leandro Oliveira, 2022. "Screening analysis and unconstrained optimization of a small-scale vertical axis wind turbine," Energy, Elsevier, vol. 240(C).
    11. Hashem, I. & Mohamed, M.H., 2018. "Aerodynamic performance enhancements of H-rotor Darrieus wind turbine," Energy, Elsevier, vol. 142(C), pages 531-545.
    12. Battisti, L. & Persico, G. & Dossena, V. & Paradiso, B. & Raciti Castelli, M. & Brighenti, A. & Benini, E., 2018. "Experimental benchmark data for H-shaped and troposkien VAWT architectures," Renewable Energy, Elsevier, vol. 125(C), pages 425-444.
    13. Daniel Micallef & Gerard Van Bussel, 2018. "A Review of Urban Wind Energy Research: Aerodynamics and Other Challenges," Energies, MDPI, vol. 11(9), pages 1-27, August.
    14. Wong, Kok Hoe & Chong, Wen Tong & Poh, Sin Chew & Shiah, Yui-Chuin & Sukiman, Nazatul Liana & Wang, Chin-Tsan, 2018. "3D CFD simulation and parametric study of a flat plate deflector for vertical axis wind turbine," Renewable Energy, Elsevier, vol. 129(PA), pages 32-55.
    15. Chen, Jian & Yang, Hongxing & Yang, Mo & Xu, Hongtao & Hu, Zuohuan, 2015. "A comprehensive review of the theoretical approaches for the airfoil design of lift-type vertical axis wind turbine," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 1709-1720.
    16. Bedon, Gabriele & De Betta, Stefano & Benini, Ernesto, 2016. "Performance-optimized airfoil for Darrieus wind turbines," Renewable Energy, Elsevier, vol. 94(C), pages 328-340.
    17. Krzysztof Rogowski & Martin Otto Laver Hansen & Galih Bangga, 2020. "Performance Analysis of a H-Darrieus Wind Turbine for a Series of 4-Digit NACA Airfoils," Energies, MDPI, vol. 13(12), pages 1-28, June.
    18. Franchina, N. & Persico, G. & Savini, M., 2019. "2D-3D Computations of a Vertical Axis Wind Turbine Flow Field: Modeling Issues and Physical Interpretations," Renewable Energy, Elsevier, vol. 136(C), pages 1170-1189.
    19. Hassan, Syed Saddam ul & Javaid, M. Tariq & Rauf, Umar & Nasir, Sheharyar & Shahzad, Aamer & Salamat, Shuaib, 2023. "Systematic investigation of power enhancement of Vertical Axis Wind Turbines using bio-inspired leading edge tubercles," Energy, Elsevier, vol. 270(C).
    20. Jin, Xin & Zhao, Gaoyuan & Gao, KeJun & Ju, Wenbin, 2015. "Darrieus vertical axis wind turbine: Basic research methods," Renewable and Sustainable Energy Reviews, Elsevier, vol. 42(C), pages 212-225.
    21. Cameron Gerrie & Sheikh Zahidul Islam & Sean Gerrie & Naomi Turner & Taimoor Asim, 2023. "3D CFD Modelling of Performance of a Vertical Axis Turbine," Energies, MDPI, vol. 16(3), pages 1-25, January.
    22. Dessoky, Amgad & Bangga, Galih & Lutz, Thorsten & Krämer, Ewald, 2019. "Aerodynamic and aeroacoustic performance assessment of H-rotor darrieus VAWT equipped with wind-lens technology," Energy, Elsevier, vol. 175(C), pages 76-97.
    23. Liu, Kan & Yu, Meilin & Zhu, Weidong, 2019. "Enhancing wind energy harvesting performance of vertical axis wind turbines with a new hybrid design: A fluid-structure interaction study," Renewable Energy, Elsevier, vol. 140(C), pages 912-927.
    24. Dessoky, Amgad & Lutz, Thorsten & Bangga, Galih & Krämer, Ewald, 2019. "Computational studies on Darrieus VAWT noise mechanisms employing a high order DDES model," Renewable Energy, Elsevier, vol. 143(C), pages 404-425.
    25. Mohamed, M.H., 2019. "Criticism study of J-Shaped darrieus wind turbine: Performance evaluation and noise generation assessment," Energy, Elsevier, vol. 177(C), pages 367-385.

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