Abstract
The oscillating water column (OWC) devices constitute the most widely used systems for the wave energy conversion. Optimizing the performances of such devices mainly composed with a bidirectional air turbine and a water–air chamber still remains of great interest. The present investigations focus on the numerical analysis of an OWC system, the air turbine damping, and on its coupling with the OWC chamber. A validated 2D RANS-VoF numerical model was implemented to determine the optimum induced damping of the OWC device in case of an impulse turbine. The model is based on the concept of the Numerical Wave Tank (NWT). In the present model, the turbine quadratic behavior was simulated with an orifice. Simulations have been conducted in typical cases located on the central zone of the Moroccan Atlantic coast. All the simulated cases are of intermediate water waves which are in compliance with the use of the Stokes’ second-order wave generation. The pneumatic power corresponding to the various values of turbine-induced damping is computed, and the optimum damping accounting for the wave climate variability is identified. It was found that the damping induced by the air turbine is the factor that influence most the OWC chamber efficiency, followed by the climate conditions.
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Abbreviations
- a :
-
OWC front wall immersion depth
- b :
-
OWC chamber length
- e :
-
OWC orifice diameter
- E p :
-
Pneumatic energy
- g :
-
Gravity acceleration
- h:
-
Water depth
- H :
-
Wave height
- k :
-
Wave number
- L :
-
OWC back wall length
- L T :
-
Wave tank length
- \({P}_{\mathrm{inc}}\) :
-
Incident wave power
- \({P}_{\mathrm{p}}\) :
-
Mean pneumatic power
- q :
-
Volumetric flow rate
- R 2 :
-
Determination coefficient
- t :
-
Time
- T :
-
Wave period
- V :
-
Velocity vector (u, v)
- u :
-
x-velocity component
- \({U}_{r}\) :
-
Ursell number
- v :
-
y-velocity component
- x :
-
Horizontal coordinate
- y :
-
Vertical coordinate
- ε :
-
OWC efficiency
- η :
-
Water free surface elevation
- \(\delta \) :
-
OWC front wall thickness
- ∆p :
-
Pressure drop
- ∆p m :
-
Mean pressure drop
- λ :
-
Wave length
- \({\rho }_{\mathrm{air}}\) :
-
Air density
- \({\rho }_{\mathrm{water}}\) :
-
Water density
- \({\vartheta }_{\mathrm{air}}\) :
-
Air kinematic viscosity
- \({\vartheta }_{\mathrm{water}}\) :
-
Water kinematic viscosity
- \(\omega \) :
-
Angular wave frequency
- \({\mu }_{\mathrm{air}}\) :
-
Air dynamic viscosity
- \({\mu }_{\mathrm{water}}\) :
-
Water dynamic viscosity
- ζ :
-
Damping coefficient
- \({\zeta }{\prime}\) :
-
Dimensional damping coefficient
- BEM:
-
Boundary element method
- CFD:
-
Computational fluid dynamics
- HPC:
-
High-performance computing
- NWT:
-
Numerical wave tank
- OE:
-
Ocean energy
- OWC:
-
Oscillating water column
- PTO:
-
Power take-off
- RANS:
-
Reynolds-averaged Navier–Stokes
- REEFS:
-
Renewable electric energy from sea
- 3D:
-
Three dimensional
- 2D:
-
Two dimensional
- VOF:
-
Volume of fluid
- WEC:
-
Wave energy converter
References
Batlle Martin M, Pinon G, Barajas G, Lara JL, Reveillon J (2023) Computations of pressure loads on an oscillating water column with experimental comparison for random waves. Coast Eng 179:104228. https://doi.org/10.1016/J.COASTALENG.2022.104228
Boake CB, Whittaker TJT, Folley M, Ellen H (2002) Overview and initial operational experience of the LIMPET wave energy plant. In: Proceedings of the 12th international offshore and polar engineering conference, 9. Kitakyushu, Japan
Bouali B, Larbi S (2017) Sequential optimization and performance prediction of an oscillating water column wave energy converter. Ocean Eng 131(April):162–173. https://doi.org/10.1016/j.oceaneng.2017.01.004
Bouhrim H, El Marjani A (2018) Wave energy assessment along the Moroccan Atlantic Coast. J Mar Sci Appl. https://doi.org/10.1007/s11804-018-00060-8Wave
Brooke J (2003) Wave energy conversion. Elsevier ocean engineering book series, vol 6. Elsevier, Amsterdam, p 205
Count BM, Evans DV (1984) The influence of projecting sidewalls on the hydrodynamic performance of wave-energy devices. J Fluid Mech 145:361–376. https://doi.org/10.1017/s0022112084002962
Cruz J (2008) Ocean wave energy current status and future perspectives, vol 28. Springer, Cham
Dean RG, Dalrymple RA (1991) Water wave mechanics for engineers and scientists, vol 2. World Scientific Publishing Co. Pte. Ltd, Singapore. https://doi.org/10.1142/9789812385512
Delauré YMC, Lewis A (2003) 3D hydrodynamic modelling of fixed oscillating water column wave power plant by a boundary element methods. Ocean Eng 30:309–330. https://doi.org/10.1016/S0029-8018(02)00032-X
Dizadji N, Sajadian SE (2011) Modeling and optimization of the chamber of OWC system. Energy 36(5):2360–2366. https://doi.org/10.1016/j.energy.2011.01.010
El Marjani A, Castro Ruiz F, Rodriguez MA, Parra Santos MT (2008) Numerical modelling in wave energy conversion systems. Energy 33(8):1246–1253. https://doi.org/10.1016/j.energy.2008.02.01
Evans DV (1976) Theory for wave-power absorption by oscillating bodies. J Fluid Mech 77:1–25. https://doi.org/10.1017/S0022112076001109
Evans DV (1982) Wave-power absorption by systems of oscillating surface pressure distributions. J Fluid Mech 114:481–499. https://doi.org/10.1017/S0022112082000263
Evans DV, Porter R (1995) Hydrodynamic characteristics of an oscillating water column device. Appl Ocean Res 17(3):155–164. https://doi.org/10.1016/0141-1187(95)00008-9
Falcão AFO, Gato LMC (2012) Air turbines. In: Sayigh A (ed) Comprehensive renewable energy, ocean energy, vol 8. Elsevier, Amsterdam, pp 111–149. https://doi.org/10.1016/B978-0-08-087872-0.00805-2
Falcão A (2000) The shoreline OWC wave power plant at the Azores. In: Proceeding of the 4th European wave energy conference, 8. Aalborg, Denmark
Falnes J, McIver P (1985) Surface wave interactions with systems of oscillating bodies and pressure distributions. Appl Ocean Res 7(4):225–234. https://doi.org/10.1016/0141-1187(85)90029-X
Gopala VR, Van Wachem BGM (2008) Volume of fluid methods for immiscible-fluid and free-surface flows. Chem Eng 141(December 2007):204–221. https://doi.org/10.1016/j.cej.2007.12.035
Gouaud F, Rey V, Piazzola J, Van Hooff R (2010) Experimental study of the hydrodynamic performance of an onshore wave power device in the presence of an underwater mound. Coast Eng 57(11–12):996–1005. https://doi.org/10.1016/j.coastaleng.2010.06.003
Güths AK, Teixeira PRF, Didier E (2022) A novel geometry of an onshore oscillating water column wave energy converter. Renew Energy 201:938–949. https://doi.org/10.1016/J.RENENE.2022.10.121
He F, Huang Z, Law A-K (2013) An experimental study of a floating breakwater with asymmetric pneumatic chambers for wave energy extraction. Appl Energy 106:222–231. https://doi.org/10.1016/j.apenergy.2013.01.013
Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39(1):201–225. https://doi.org/10.1016/0021-9991(81)90145-5
Hong K, Shin SH, Hong DC, Choi HS, Hong SW (2007) Effects of shape parameters of OWC chamber in wave energy absorption. In: Proceedings of the international offshore and polar engineering conference, Lisbon, Portugal, ISOPE, vol 1, pp 428–33
Horko M (2007) CFD optimisation of an oscillating water column wave energy converter. MSc thesis, pp 1–159
Iturrioz A, Guanche R, Lara JL, Vidal C, Losada IJ (2015) Validation of OpenFOAM® for oscillating water column three-dimensional modeling. Ocean Eng 107:222–236. https://doi.org/10.1016/j.oceaneng.2015.07.051
Kamath A, Bihs H, Arntsen ØA (2014) Comparison of 2D and 3D simulations of an OWC device in different configurations. Coast Eng Proc 1(34):66. https://doi.org/10.9753/icce.v34.structures.66
Kamath A, Bihs H, Arntsen ØA (2015) Numerical modeling of power take-off damping in an oscillating water column device. Int J Mar Energy 10:1–16. https://doi.org/10.1016/j.ijome.2015.01.001
le Méhauté B (1976) An introduction to hydrodynamics and water waves. Springer, New York
Li Y, Yu Y (2012) A synthesis of numerical methods for modeling wave energy converter-point absorbers. Renew Sustain Energy Rev 16:4352–4364. https://doi.org/10.1016/j.rser.2011.11.008
Liu Z, Hyun B-S, Hong K (2011) Numerical study of air chamber for oscillating water column wave energy convertor. China Ocean Eng 25(1):169–178. https://doi.org/10.1007/s13344-011-0015-8
López I, Pereiras B, Castro F, Iglesias G (2014) Optimisation of turbine-induced damping for an OWC wave energy converter using a RANS-VOF numerical model. Appl Energy 127:105–114. https://doi.org/10.1016/j.apenergy.2014.04.020
Luo Y, Nader JR, Cooper P, Zhu SP (2014) Nonlinear 2D analysis of the efficiency of fixed oscillating water column wave energy converters. Renew Energy 64:255–265. https://doi.org/10.1016/j.renene.2013.11.007
Mccormick ME (1976) A modified linear analysis of a wave-energy conversion buoy. Ocean Eng 3(1976):133–144. https://doi.org/10.1016/0029-8018(76)90029-9
Morgan GCJ, Zang J, Greaves D, Heath A, Whitlow CD, Young JR (2010) Using the rasinterfoam CFD model for wave transformation and coastal modeling. Coast Eng Proc. https://doi.org/10.9753/icce.v32.waves.23
Morris-Thomas MT, Irvin RJ, Thiagarajan KP (2007) An investigation into the hydrodynamic efficiency of an oscillating water column. J Offshore Mech Arct Eng 129(November):273. https://doi.org/10.1115/1.2426992
Nader JR, Zhu SP, Cooper P, Stappenbelt B (2012) A finite-element study of the efficiency of arrays of oscillating water column wave energy converters. Ocean Eng 43:72–81. https://doi.org/10.1016/j.oceaneng.2012.01.022
Newman JN (1978) The theory of ship motions, vol 18. Elsevier, Amsterdam
Paixão Conde JM, Gato LMC (2008) Numerical study of the air-flow in an oscillating water column wave energy converter. Renew Energy 33(12):2637–2644. https://doi.org/10.1016/j.renene.2008.02.028
Patankar SV (1798) Numerical heat transfer and fluid flow. Taylor and Francis, Boca Raton
Patankar SV, Spalding DB, Road E (1972) A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. J Heat Mass Transf 15:1787–1806
Peng NN, Chow KW (2022) A numerical wave tank with large eddy simulation for wave breaking. Ocean Eng 266:112555. https://doi.org/10.1016/J.OCEANENG.2022.112555
Sarmento AJNA (1992) Wave flume experiments on two-dimensional oscillating water column wave energy devices. Exp Fluids 12:286–292
Sarmento AJNA, Falcao AFO (1985) Wave generation by an oscillating surface-pressure and its applications in wave energy extraction. J Fluid Mech 150:467–485. https://doi.org/10.1017/S0022112085000234
Sarpkaya T (2010) Wave forces on offshore structures. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9781139195898
Şentürk U, Özdamar A (2012) Wave energy extraction by an oscillating water column with a gap on the fully submerged front wall. Appl Ocean Res 37:174–182. https://doi.org/10.1016/j.apor.2012.05.004
Sierra JP, Martín C, Mösso C, Mestres M, Jebbad R (2016) Wave energy potential along the atlantic coast of Morocco. Renew Energy 96:20–32. https://doi.org/10.1016/j.renene.2016.04.071
Simonetti I, Cappietti L, Elsafti H, Oumeraci H (2017) Optimization of the geometry and the turbine induced damping for fixed detached and asymmetric OWC devices: a numerical study. Energy 139:1197–1209. https://doi.org/10.1016/j.energy.2017.08.033
Simonetti I, Cappietti L, El Safti H, Oumeraci H (2015) Numerical modelling of fixed oscillating water column wave energy conversion devices: toward geometry hydraulic optimization. In: Proceedings of the ASME 2015 34th international conference on ocean, offshore and arctic engineering OMAE2015, vol 9. Newfoundland, Canada. https://doi.org/10.1115/OMAE2015-42056
Torre-Enciso Y, Ortubia I, López de Aguileta LI, Marqués J (2009) Mutriku wave power plant : from the thinking out to the reality. In: Proceedings of the 8th European wave and tidal energy conference, Uppsala, Sweden, pp 319–329
Yu T, He S, Shi H, Chen X, Guo Q (2022) Numerical investigation of hydrodynamic performance and efficiency of a dual-chamber oscillating water column under different damping and chamber breadth ratio combination. Ocean Eng 266:113008. https://doi.org/10.1016/j.oceaneng.2022.113008
Zabihian F, Fung AS (2011) Review of marine renewable energies: case study of Iran. Renew Sustain Energy Rev 15(5):2461–2474. https://doi.org/10.1016/j.rser.2011.02.006
Zeng Y, Shi W, Michailides C, Ren Z, Li X (2022) Turbulence model effects on the hydrodynamic response of an oscillating water column (OWC) with use of a computational fluid dynamics model. Energy 261:124926. https://doi.org/10.1016/J.ENERGY.2022.124926
Zhang Y, Zou QP, Greaves D (2012) Air-water two-phase flow modelling of hydrodynamic performance of an oscillating water column device. Renew Energy 41:159–170. https://doi.org/10.1016/j.renene.2011.10.011
Zhou Z, Ke S, Wang R, Mayon R, Ning D (2022) Hydrodynamic investigation on a land-fixed OWC wave energy device under irregular waves. Appl Sci (switzerland) 12(6):15. https://doi.org/10.3390/app12062855
Acknowledgements
This research work has been conducted as part of the research activity within the EMISys research team at the Turbomachinery Lab with the institutions’ financial support of Mohammadia School of Engineers and Mohammed V University in Rabat.
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Bouhrim, H., El Marjani, A. Effects of turbine damping and wave conditions on OWC performances for optimal wave energy conversion. J. Ocean Eng. Mar. Energy 9, 697–713 (2023). https://doi.org/10.1007/s40722-023-00293-y
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DOI: https://doi.org/10.1007/s40722-023-00293-y