Boundary-Layer Meteorology

, Volume 138, Issue 3, pp 345–366 | Cite as

Large-Eddy Simulation of Wind-Turbine Wakes: Evaluation of Turbine Parametrisations

Article

Abstract

Large-eddy simulation (LES), coupled with a wind-turbine model, is used to investigate the characteristics of a wind-turbine wake in a neutral turbulent boundary-layer flow. The tuning-free Lagrangian scale-dependent dynamic subgrid-scale (SGS) model is used for the parametrisation of the SGS stresses. The turbine-induced forces (e.g., thrust, lift and drag) are parametrised using two models: (a) the ‘standard’ actuator-disk model (ADM-NR), which calculates only the thrust force and distributes it uniformly over the rotor area; and (b) the actuator-disk model with rotation (ADM-R), which uses the blade-element theory to calculate the lift and drag forces (that produce both thrust and rotation), and distribute them over the rotor disk based on the local blade and flow characteristics. Simulation results are compared to high-resolution measurements collected with hot-wire anemometry in the wake of a miniature wind turbine at the St. Anthony Falls Laboratory atmospheric boundary-layer wind tunnel. In general, the characteristics of the wakes simulated with the proposed LES framework are in good agreement with the measurements in the far-wake region. The ADM-R yields improved predictions compared with the ADM-NR in the near-wake region, where including turbine-induced flow rotation and accounting for the non-uniformity of the turbine-induced forces appear to be important. Our results also show that the Lagrangian scale-dependent dynamic SGS model is able to account, without any tuning, for the effects of local shear and flow anisotropy on the distribution of the SGS model coefficient.

Keywords

Actuator-disk model Blade-element momentum theory Large-eddy simulation Wind-turbine wakes 

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References

  1. Albertson JD, Parlange MB (1999) Surfaces length scales and shear stress: implications for land-atmosphere interactions over complex terrain. Water Resour Res 35: 2121–2132CrossRefGoogle Scholar
  2. Alinot C, Masson C (2002) Aerodynamic simulations of wind turbines operating in atmospheric boundary layer with various thermal stratifications. A collection of the 2002 ASME wind energy symposium technical papers, pp 206–215Google Scholar
  3. Ammara I, Leclerc C, Masson C (2002) A viscous three-dimensional differential/actuator-disk method for the aerodynamic analysis of wind farms. J Sol Energy Eng 124: 345–356CrossRefGoogle Scholar
  4. Bou-Zeid E, Meneveau C, Parlange M (2005) A scale-dependent lagrangian dynamic model for large eddy simulation of complex turbulent flows. Phys Fluids 17: 025105CrossRefGoogle Scholar
  5. Calaf M, Meneveau C, Meyers J (2010) Large eddy simulation study of fully developed wind-turbine array boundary layers. Phys Fluids 22: 015110CrossRefGoogle Scholar
  6. Canuto C, Hussaini MY, Qaurteroni A, Zang TA (1988) Spectral methods in fluid dynamics. Springer, New York, p 567 ppGoogle Scholar
  7. Canuto VM, Cheng Y (1997) Determination of the smagorinsky-lilly constant C S. Phys Fluids 9: 1368–1378CrossRefGoogle Scholar
  8. Chamecki M, Meneveau C, Parlange MB (2009) Large eddy simulation of pollen transport in the atmospheric boundary layer. J Aerosol Sci 40: 241–255CrossRefGoogle Scholar
  9. Chamorro L, Porté-Agel F (2009) A wind-tunnel investigation of wind-turbine wakes: boundary-layer turbulence effects. Boundary-Layer Meteorol 132: 129–149CrossRefGoogle Scholar
  10. Chamorro L, Porté-Agel F (2010) Effects of thermal stability and incoming boundary-layer flow characteristics on wind-turbine wakes: a wind-tunnel study. Boundary-Layer Meteorol 136: 515–533CrossRefGoogle Scholar
  11. Deadorff JW (1971) On the magnitude of the subgrid-scale eddy coefficient. J Comput Phys 7: 120–133CrossRefGoogle Scholar
  12. Deadorff JW (1980) Stratocumulus-capped mixed layers derived from a three-dimensional model. Boundary-Layer Meteorol 18: 495–527CrossRefGoogle Scholar
  13. Germano M, Piomelli U, Moin PWC (1991) A dynamic subgrid-scale eddy viscosity model. Phys Fluids 7: 1760–1765Google Scholar
  14. Ghosal S, Lund TS, Moin P, Akselvoll K (1995) A dynamic localization model for large-eddy simulation of turbulent flows. J Fluid Mech 286: 229–255CrossRefGoogle Scholar
  15. Glauert H (1935) Aerodynamic theory, vol 4. Springer, Berlin, pp, pp 169–360Google Scholar
  16. Gómez-Elvira R, Crespo A, Migoya E, Manuel F, Hernández J (2005) Anisotropy of turbulence in wind turbine wakes. J Wind Eng Ind Aerodyn 93: 797–814CrossRefGoogle Scholar
  17. Hau E (2000) Wind turbines: fundamentals, technologies, application, economics. Springer, New York, p 783 ppGoogle Scholar
  18. Horiuti K (1993) A proper velocity scale for modelling subgrid scale eddy viscosities in large-eddy simulation. Phys Fluids 1: 146–157Google Scholar
  19. Hunt JCR, Stretch DD, Britter RE (1988) Length scales in stably stratified turbulent flows and their use in turbulence models. In: Puttock JS (ed) Stably stratified flows and gas. Dynamics Clarendon Press, OxfordGoogle Scholar
  20. Ivanell S, Sørensen JN, Mikkelsen R, Henningson D (2009) Analysis of numerically generated wake structures. Wind Energy 12: 63–80CrossRefGoogle Scholar
  21. Jimenez A, Crespo A, Migoya E, Garcia J (2007) Advances in large-eddy simulation of a wind turbine wake. J Phys Conf Ser 75: 012041CrossRefGoogle Scholar
  22. Jimenez A, Crespo A, Migoya E, Garcia J (2008) Large-eddy simulation of spectral coherence in a wind turbine wake. Environ Res Lett 3: 015004CrossRefGoogle Scholar
  23. Kasmi AE, Masson C (2008) An extended κ−ε model for turbulent flow through horizontal-axis wind turbines. J Wind Eng Ind Aerodyn 96: 103–122CrossRefGoogle Scholar
  24. Kleissl J, Meneveau C, Parlange MB (2003) On the magnitude and variability of subgrid-scale eddy-diffusion coefficients in the atmospheric surface layer. J Atmos Sci 60: 2372–2388CrossRefGoogle Scholar
  25. Lilly DK (1992) A proposed modification of the Germano subgrid-scale closure method. Phys Fluids 4(3): 633–635CrossRefGoogle Scholar
  26. Manwell J, McGowan J, Rogers A (2002) Wind energy explained: theory, design and application. Wiley, New York, p 577 ppGoogle Scholar
  27. Masson C, Ammara I, Paraschivoiu I (1997) An aerodynamic method for the analysis of isolated horizontal-axis wind turbines. Int J Rotat Mach 3: 21–32CrossRefGoogle Scholar
  28. Medici D, Alfredsson P (2006) Measurement on a wind turbine wake: 3d effects and bluff body vortex shedding. Wind Energy 9: 219–236CrossRefGoogle Scholar
  29. Meneveau C, Lund T, Cabot W (1996) A lagrangian dynamic subgrid-scale model of turbulence. J Fluid Mech 319: 353–385CrossRefGoogle Scholar
  30. Mikkelsen R (2003) Actuator disc methods applied to wind turbines. PhD Dissertation,Technical University of DenmarkGoogle Scholar
  31. Moeng C (1984) A large-eddy simulation model for the study of planetary boundary-layer turbulence. J Atmos Sci 46: 2311–2330CrossRefGoogle Scholar
  32. Phillips AB, Turnock SR, Furlong M (2009) Evaluation of manoeuvring coefficients of a self-propelled ship using a blade element momentum propeller model coupled to a Reynolds averaged Navier Stokes flow solver. Ocean Eng 36: 1217–1225CrossRefGoogle Scholar
  33. Porté-Agel F (2004) A scale-dependent dynamic model for scalar transport in large-eddy simulations of the atmospheric boundary layer. Boundary-Layer Meteorol 112: 81–105CrossRefGoogle Scholar
  34. Porté-Agel F, Meneveau C, Parlange MB (2000) A scale dependent dynamic model for large-eddy simulations: application to a neutral atmospheric boundary layer. J Fluid Mech 415: 261–284CrossRefGoogle Scholar
  35. Porté-Agel F, Meneveau C, Parlange MB, Eichinger WE (2001) A priori field study of the subgrid-scale heat fluxes and dissipation in the atmospheric surface layer. J Atmos Sci 58: 2673–2698CrossRefGoogle Scholar
  36. Porté-Agel F, Pahlow M, Meneveau C, Parlange MB (2001) Atmospheric stability effect on subgrid-scale physics for large-eddy simulation. Adv Water Resour 24: 1085–1102CrossRefGoogle Scholar
  37. Schetz JA, Fuhs AE (1996) Handbook of fluid dynamics and fluid machinery. Wiley, New York, 2776 ppGoogle Scholar
  38. Smagorinsky J (1963) General circulation experiments with the primitive equations: I. The basic experiment. Mon Weather Rev 91: 99–164CrossRefGoogle Scholar
  39. Sørensen JN, Kock CW (1995) A model for unsteady rotor aerodynamics. J Wind Eng Ind Aerodyn 58: 259–275CrossRefGoogle Scholar
  40. Sørensen JN, Shen WZ (2002) Numerical modeling of wind turbine wakes. J Fluids Eng 124: 393–399CrossRefGoogle Scholar
  41. Sørensen JN, Shen WZ, Mundate X (1998) Analysis of wake states by a full-field actuator disc model. Wind Energy 1: 73–88CrossRefGoogle Scholar
  42. Stoll R, Porté-Agel F (2006) Dynamic subgrid-scale models for momentum and scalar fluxes in large-eddy simulations of neutrally stratified atmospheric boundary layers over heterogeneous terrain. Water Resour Res 42: w01409CrossRefGoogle Scholar
  43. Sunada S, Sakaguchi A, Kawachi K (1997) Airfoil section characteristics at a low reynolds number. J Fluids Eng 119: 129–135CrossRefGoogle Scholar
  44. Troldborg N, Sørensen JN, Mikkelsen R (2007) Actuator line simulation of wake of wind turbine operating in turbulent inflow. J Phys Conf Ser 75: 012063CrossRefGoogle Scholar
  45. Tseng Y, Meneveau C, Parlange MB (2006) Modeling flow around bluff bodies and predicting urban dispersion using large eddy simulation. Environ Sci Technol 40: 2653–2662CrossRefGoogle Scholar
  46. Vermeer LJ, Sørensen JN, Crespo A (2003) Wind turbine wake aerodynamics. Prog Aerosp Sci 39: 467–510CrossRefGoogle Scholar
  47. Wan F, Porté-Agel F (2010) Large-eddy simulation of stably-stratified flow over a steep hill. Boundary-Layer Meteorol. doi:10.1007/s10546-010-9562-4
  48. Wan F, Porté-Agel F, Stoll R (2007) Evaluation of dynamic subgrid-scale models in large-eddy simulations of neutral turbulent flow over a two-dimensional sinusoidal hill. Atmos Environ 41: 2719–2728CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.School of Architecture, Civil and Environmental EngineeringÉcole Polytechnique Fédérale de LausanneLausanneSwitzerland

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