Large eddy simulation of a marine turbine in a stable stratified flow condition

  • A. BrunettiEmail author
  • V. Armenio
  • F. Roman
Research Article


The present study focuses on the evaluation of the impact of marine stable stratification on turbine performance and wake characteristics. Stratification is usually present in regions where marine turbines are installed; this is the case of estuarine basins and shelf seas. Stratification influences the turbine efficiency and rotor wake development; on the other hand, the turbine wake may increase vertical mixing and reduce stratification in the water basin. To evaluate mutual interaction between a marine turbine and vertical stratification, two types of stable stratified conditions are simulated, a weak and a strong stratified condition, respectively. The numerical analysis is carried out using Large Eddy Simulation (LES) coupled with a Blade Element Momentum (BEM) turbine module. The capability of the model in reproducing power and thrust characteristics of a turbine is proved by comparison with experimental data. Results show that stratification has a remarkable impact on wake development: concerning power performance, as the stratification intensifies, it increases due to the growth of streamwise velocity; meanwhile, the power coefficient slightly increases. Also, the recovery of wake velocity deficit is faster in case of strong stratification, thus reducing the extension of the downward region affected by the presence of the turbine. Results also show that the turbine modifies stratification, specifically the mixing effect is higher in case of strong stratification; this phenomenon is ascribed to the strong vertical meandering of the wake and the development of an eddy that overturns high-density fluid over lower-density fluid.


Marine turbine Large eddy simulation Stratification Power performance Wake Velocity recover 



The authors thanks IEFLUIDS s.r.l. for the use of the LESWIND numerical model and Regione Friuli Venezia Giulia who partially financed its development through PAR-FSC 2007-2013 funds.


  1. Abkar M, Porté-Agel F (2015) Influence of atmospheric stability on wind-turbine wakes: a large-eddy simulation study. Phys Fluids 27:035104. CrossRefGoogle Scholar
  2. Armenio V, Sarkar S (2002) An investigation of stably stratified turbulent channel flow using large-eddy simulation. J Fluid Mech 459:1–42. CrossRefzbMATHGoogle Scholar
  3. Bai X, Avital EJ, Munjiza A, Williams JJR (2014) Numerical simulation of a marine current turbine in free surface flow. Renew Energy 63:715–723. CrossRefGoogle Scholar
  4. Bahaj AS, Molland AF, Chaplin JR, Batten WMJ (2007) Power and thrust measurements of marine current turbines under various hydrodynamic flow conditions in a cavitation tunnel and a towing tank. Renew Energy 32:407–426. CrossRefGoogle Scholar
  5. Bahaj AS, Batten WMJ, McCann G (2007) Experimental verifications of numerical predictions for the hydrodynamic performance of horizontal axis marine current turbines. Renew Energy 32:2479–2490. CrossRefGoogle Scholar
  6. Balog I, Ruti PM, Tobin I, Armenio V, Vautard R (2016) A numerical approach for planning offshore wind farms from regional scales over the Mediterranean. Renew Energy 85:395–405CrossRefGoogle Scholar
  7. Blackmore T, Batten WMJ, Bahaj AS (2014) Influence of turbulence on the wake of a marine current turbine simulator. Proc R Soc A 470:20140331CrossRefGoogle Scholar
  8. Chamorro LP, Porté-Agel F (2010) Effects of thermal stability and incoming boundary-layer flow characteristics on wind-turbine wakes: a wind-tunnel study. Bound Layer Meterol 136:515–533CrossRefGoogle Scholar
  9. Chamorro LP, Hill C, Morton S, Ellis C (2013) On the interaction between a turbulent open channel flow and an axial-flow turbine. J Fluid Mech 716:658–670. CrossRefzbMATHGoogle Scholar
  10. Churchfield MJ, Li Y, Moriarty PJ (2011) A Large-Eddy Simulation Study of Wake propagation and Power Production in an Array of Tidal Current Turbines. European Wave and Tidal Energy Conference, Southampton, England. zbMATHGoogle Scholar
  11. Churchfield MJ, Lee S, Michalakes J, Moriarty PJ (2012) A numerical study of the effects of atmospheric and wake turbulence on wind turbine dynamics. J Turbul 13:N14. CrossRefGoogle Scholar
  12. De Dominicis M, O’Hara Murray R, Wolf J (2017) Multi-scale ocean response to a large tidal stream turbine array. Renew Energy 114:1160–1179. CrossRefGoogle Scholar
  13. Espaa G, Aubrun S, Loyer S, Devinant P (2012) Wind tunnel study of the wake meandering downstream of a modelled wind turbine as an effect of large scale turbulent eddies. J Wind Eng Ind Aerodyn 101:24–33. CrossRefGoogle Scholar
  14. Galea A, Grifoll M, Roman F, Mestres M, Armenio V, Sanchez-Arcilla A, Mangion LZ (2014) Numerical simlation of water mixing and renewals in the Barcelona harbour area: the winter season. Environ Fluid Mech 14(6):1405–1425CrossRefGoogle Scholar
  15. Geyer WR, Ralston DK (2011) The Dynamics of Strongly Stratified Estuaries. Treatise on Estuarine and Coastal Science. Elsevier, Amsterdam, pp 37–51Google Scholar
  16. Kang S, Yang X, Sotiropoulos F (2014) On the onset of wake meandering for an axial flow turbine in a turbulent open channel flow. J Fluid Mech 744:376–403. CrossRefGoogle Scholar
  17. Kim J, Moin P (1985) Application of fractional step to incompressible Navier–Stokes equations. J Comput Phys 59:308–323. MathSciNetCrossRefzbMATHGoogle Scholar
  18. Lynn PA (2014) Electricity from wave and tide-an introduction to marine energy. Wiley, HobokenCrossRefGoogle Scholar
  19. Maganga F, Germain G, King J, Pinon G, Rivoalen E (2010) Experimental characterization of flow effects on marine current turbine behavior and on its wake properties. IET Renew Power Gener 4:498–509. CrossRefGoogle Scholar
  20. Manwell JF, McGowan JG, Rogers AL (2009) Wind energy explained. Wiley, HobokenCrossRefGoogle Scholar
  21. Mikkelsen R (2003) Actuator disc methods applied to wind turbines. Diss. Technical University of DenmarkGoogle Scholar
  22. Milne IA, Sharma RN, Flay RGJ, Bickerton S (2010) The role of an onset turbulence on tidal turbine blade loads. In: 17th Australasian fluid mechanics conference. AucklandGoogle Scholar
  23. Mycek P, Gaurier B, Germain G, Pinon G, Rivoalen E (2013) Numerical and experimental study of the interaction between two marine current turbines. Int J Mar Energy 1:70–83. CrossRefGoogle Scholar
  24. Mycek P, Gaurier B, Germain G, Pinon G, Rivoalen E (2014) Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part I: one single turbine. Renew Energy 66:729–746. Get rights and contentCrossRefGoogle Scholar
  25. Ning SA (2014) A simple solution method for the blade element momentum equations with guaranteed convergence. Wind Energy 17:1327–1345. Google Scholar
  26. Noruzi R, Vahidzadeh M, Riasi A (2015) Design, analysis and predicting hydrokinetic performance of a horizontal marine current axial turbine by consideration of turbine installation depth. Ocean Eng 108:789–798. CrossRefGoogle Scholar
  27. Petronio A, Roman F, Nasello C, Armenio V (2013) Large eddy simulation model for wind-driven sea circulation in coastal areas. Nonlinear Process Geophys 20(6):1095–1112CrossRefGoogle Scholar
  28. Rodi W, Constantinescu G, Stoesser T (2013) Large-eddy simulation in hydraulics. Taylor and Francis, New YorkCrossRefGoogle Scholar
  29. Roman F, Stipcich G, Armenio V, Inghilesi R, Corsini S (2010) Large eddy simulation of mixing in coastal area. Int J Heat Fluid Flow 31(3):327–341CrossRefGoogle Scholar
  30. Rosen A, Sheinman Y (1996) The power fluctuations of a wind turbine. J Wind Eng Ind Aerodyn 59:51–68. CrossRefGoogle Scholar
  31. Sharples J, Tett P (1994) Modeling the effect of physical variability on the midwater chlorophyll maximum. J Mar Res 52:219–238. CrossRefGoogle Scholar
  32. Smagorinski J (1963) General circulation experiments with the primitive equations. Mon Weather Rev 91:99–164CrossRefGoogle Scholar
  33. Stocca V (2010) Development of a large eddy simulation model for the study of pollutant dispersion in urban areas. Ph.D. Dissertation thesis, University of Trieste, ItalyGoogle Scholar
  34. Wu YT, Porté-Agel F (2011) Large-eddy simulation of wind-turbine wakes: evaluation of turbine parametrisations. Bound Layer Meteorol 138:345–366. CrossRefGoogle Scholar
  35. Wu YT, Porté-Agel F (2013) Simulation of turbulent flow inside and above wind farms: model validation and layout effects. Bound Layer Meteorol 146:181–205. CrossRefGoogle Scholar
  36. Yang Z, Wan T (2015) Modeling the Effects of tidal energy extraction on estuarine hydrodynamics in a stratified estuary. Estuaries Coasts 38:187–202. CrossRefGoogle Scholar
  37. Zang J, Street R, Koseff J (1994) A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates. J Comput Phys 114:18–33. MathSciNetCrossRefzbMATHGoogle Scholar
  38. Zhang W, Markfort CD, Porté-Agel F (2013) Wind-turbine wakes in a convective boundary layer: a wind-tunnel study. Bound Layer Meteorol 146:161–179. CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of TriesteTriesteItaly
  2. 2.IEFLUIDS S.R.L.TriesteItaly

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