Abstract
Two coupled four-beam acoustic Doppler current profilers were used to provide simultaneous and independent measurements of the turbulent kinetic energy (TKE) dissipation rate ε and the TKE production rate over a 36 h long period at a highly energetic tidal energy site in the Alderney Race. The eight-beam arrangement enabled the evaluation of the six components of the Reynolds stress tensor which allows for an improved estimation of the TKE production rate. Depth-time series of ε, and the Reynolds stresses are provided. The comparison between ε and was performed by calculating individual ratios of ε corresponding to . The depth-averaged ratio averaged over whole flood and ebb tide were found to be 2.2 and 2.8 respectively, indicating that TKE dissipation exceeds TKE production. It is shown that the term of diffusive transport of TKE is significant. As a result, non-local transport is important to the TKE budget and the common assumption of a local balance, i.e. a balance between production and dissipation, is not valid at the measurement site.
This article is part of the theme issue ‘New insights on tidal dynamics and tidal energy harvesting in the Alderney Race’.
Footnotes
References
- 1.
Lazure P, Dumas F . 2008An external-internal mode coupling for a 3D hydrodynamical model for applications at regional scale (MARS). Adv. Water Resour. 31, 233–250. (doi:10.1016/j.advwatres.2007.06.010) Crossref, ISI, Google Scholar - 2.
Bailly du Bois P, Dumas F, Solier L, Voiseux C . 2012In-situ database toolbox for short-term dispersion model validation in macro-tidal seas, application for 2D-model. Cont. Shelf Res. 36, 63–82. (doi:10.1016/j.csr.2012.01.011) Crossref, ISI, Google Scholar - 3.
Thiébot J, Bailly du Bois P, Guillou S . 2015Numerical modeling of the effect of tidal stream turbines on the hydrodynamics and the sediment transport—Application to the Alderney Race (Raz Blanchard), France. Renew. Energy 75, 356–365. (doi:10.1016/j.renene.2014.10.021) Crossref, ISI, Google Scholar - 4.
Robins PE, Neill SP, Lewis MJ, Ward SL . 2015Characterising the spatial and temporal variability of the tidal-stream energy resource over the northwest European shelf seas. Appl. Energy 147, 510–522. (doi:10.1016/j.apenergy.2015.03.045) Crossref, ISI, Google Scholar - 5.
Guillou N, Chapalain G . 2017Assessing the impact of tidal stream energy extraction on the Lagrangian circulation. Appl. Energy 203, 321–332. (doi:10.1016/j.apenergy.2017.06.022) Crossref, ISI, Google Scholar - 6.
Neill SP, Vögler A, Goward-Brown AJ, Baston S, Lewis MJ, Gillibrand PA, Waldman S, Woolf DK . 2017The wave and tidal resource of Scotland. Renew. Energy 114, 3–17. (doi:10.1016/j.renene.2017.03.027) Crossref, ISI, Google Scholar - 7.
Thiébot J, Guillou N, Guillou S, Good A, Lewis M . 2020Wake field study of tidal turbines under realistic flow conditions. Renew. Energy 151, 1196–1208. Crossref, ISI, Google Scholar - 8.
Lu Y, Lueck RG . 1999Using a broadband ADCP in a tidal channel. Part II: turbulence. J. Atmos. Ocean. Technol. 16, 1568–1579. (doi:10.1175/1520-0426(1999)016<1568:UABAIA>2.0.CO;2) Crossref, ISI, Google Scholar - 9.
Rippeth TP, Williams E, Simpson JH . 2002Reynolds stress and turbulent energy production in a tidal channel. J. Phys. Oceanogr. 32, 1242–1251. (doi:10.1175/1520-0485(2002)032<1242:RSATEP>2.0.CO;2) Crossref, ISI, Google Scholar - 10.
Korotenko K, Sentchev A, Schmitt FG, Jouanneau N . 2013Variability of turbulent quantities in the tidal bottom boundary layer: case study in the eastern English Channel. Cont. Shelf Res. 58, 21–31. (doi:10.1016/j.csr.2013.03.001) Crossref, ISI, Google Scholar - 11.
McMillan JM, Hay AE, Lueck RG, Wolk F . 2016Rates of dissipation of turbulent kinetic energy in a high Reynolds number tidal channel. J. Atmos. Ocean. Technol. 33, 817–837. (doi:10.1175/JTECH-D-15-0167.1) Crossref, ISI, Google Scholar - 12.
Guerra M, Thomson J . 2017Turbulence measurements from five-beam acoustic Doppler current profilers. J. Atmos. Ocean. Technol. 34, 1267–1284. (doi:10.1175/JTECH-D-16-0148.1) Crossref, ISI, Google Scholar - 13.
Lueck RG, Wolk F, Yamazaki H . 2002Oceanic velocity microstructure measurements in the 20th century. J. Oceanogr. 58, 153–174. (doi:10.1023/A:1015837020019) Crossref, ISI, Google Scholar - 14.
Thomson J, Polagye B, Richmond M, Durgesh V . 2010Quantifying turbulence for tidal power applications. In OCEANS 2010, pp. 1–8. Seattle, WA: IEEE. Google Scholar - 15.
Thomson J, Polagye B, Durgesh V, Richmond MC . 2012Measurements of turbulence at two tidal energy sites in Puget Sound, WA. IEEE J. Ocean. Eng. 37, 363–374. (doi:10.1109/JOE.2012.2191656) Crossref, ISI, Google Scholar - 16.
McCaffrey K, Fox-Kemper B, Hamlington PE, Thomson J . 2015Characterization of turbulence anisotropy, coherence, and intermittency at a prospective tidal energy site: observational data analysis. Renew. Energy 76, 441–453. (doi:10.1016/j.renene.2014.11.063) Crossref, ISI, Google Scholar - 17.
Milne IA, Sharma RN, Flay RGJ, Bickerton S . 2013Characteristics of the turbulence in the flow at a tidal stream power site. Phil. Trans. R. Soc. A 371, 20120196. (doi:10.1098/rsta.2012.0196) Link, ISI, Google Scholar - 18.
Sentchev A, Thiébaut M, Schmitt FG . 2019Impact of turbulence on power production by a free-stream tidal turbine in real sea conditions. Renew. Energy 147, 1932–1940. (doi:10.1016/j.renene.2019.09.136) Crossref, ISI, Google Scholar - 19.
Thomson J, Kilcher L, Richmond M, Talbert J, DeKlerk A, Polagye B, Guerra M, Cienfuegos R . 2013Tidal turbulence spectra from a compliant mooring. In 1st Marine Energy Technology Symposium, Washington, DC, 10–11 April. METS2013. Google Scholar - 20.
Thiébaut M, Filipot J-F, Maisondieu C, Damblans G, Duarte R, Droniou E, Chaplain N, Guillou S . 2019A comprehensive assessment of turbulence at a tidal-stream energy site influenced by wind-generated ocean waves. Energy 191, 116550. (doi:10.1016/j.energy.2019.116550) Crossref, ISI, Google Scholar - 21.
Lohrmann A, Hackett B, Røed LP . 1990High resolution measurements of turbulence, velocity and stress using a pulse-to-pulse coherent sonar. J. Atmos. Ocean. Technol. 7, 19–37. (doi:10.1175/1520-0426(1990)007<0019:HRMOTV>2.0.CO;2) Crossref, ISI, Google Scholar - 22.
Lu Y, Lueck RG . 1999Using a broadband ADCP in a tidal channel. Part I: mean flow and shear. J. Atmos. Ocean. Technol. 16, 1556–1567. (doi:10.1175/1520-0426(1999)016<1556:UABAIA>2.0.CO;2) Crossref, ISI, Google Scholar - 23.
Stacey MT, Monismith SG, Burau JR . 1999Measurements of Reynolds stress profiles in unstratified tidal flow. J. Geophys. Res. 104, 10935–10949. (doi:10.1029/1998JC900095) Crossref, ISI, Google Scholar - 24.
Whipple AC, Luettich RA, Seim HE . 2006Measurements of Reynolds stress in a wind-driven lagoonal estuary. Ocean Dyn. 56, 169–185. (doi:10.1007/s10236-005-0038-x) Crossref, Google Scholar - 25.
Wiles PJ, Rippeth TP, Simpson JH, Hendricks PJ . 2006A novel technique for measuring the rate of turbulent dissipation in the marine environment. Geophys. Res. Lett. 33. (doi:10.1029/2006GL027050) Crossref, PubMed, ISI, Google Scholar - 26.
Vermeulen B, Hoitink AJF, Sassi MG . 2011Coupled ADCPs can yield complete Reynolds stress tensor profiles in geophysical surface flows. Geophys. Res. Lett. 38. (doi:10.1029/2011GL046684) Crossref, ISI, Google Scholar - 27.
Pieterse A, Filipot J-F, Maisondieu C, Kilcher L, Chaplain N . 2017Coupled ADCP measurements for tidal turbulence characterization. In Proceedings of the 12th European Wave and Tidal Energy Conference, Cork, Ireland, pp. 1–8. Google Scholar - 28.
Shaw WJ, Trowbridge JH . 2001The direct estimation of near-bottom turbulent fluxes in the presence of energetic wave motions. J. Atmos. Ocean. Technol. 18, 1540–1557. (doi:10.1175/1520-0426(2001)018<1540:TDEONB>2.0.CO;2) Crossref, ISI, Google Scholar - 29.
Feddersen F, Williams AJ . 2007Direct estimation of the Reynolds stress vertical structure in the nearshore. J. Atmos. Ocean. Technol. 24, 102–116. (doi:10.1175/JTECH1953.1) Crossref, ISI, Google Scholar - 30.
Rosman JH, Hench JL, Koseff JR, Monismith SG . 2008Extracting Reynolds stresses from acoustic Doppler current profiler measurements in wave-dominated environments. J. Atmos. Ocean. Technol. 25, 286–306. (doi:10.1175/2007JTECHO525.1) Crossref, ISI, Google Scholar - 31.
Filipot J-F, Prevosto M, Maisondieu C, Le Boulluec M, Thomson J . 2015Wave and turbulence measurements at a tidal energy site. In Proceedings of a meeting held 2–6 March 2015, St. Petersburg, FL, pp. 198–206. IEEE Catalog Number:CFP15CWT-POD. Google Scholar - 32.
Ardhuin F . 2012Prévisions de vagues (WW3) pour la façade Golfe de Gascogne / Nord Atlantique (grille non structurée) (WW3-NORGAS-UG). Google Scholar - 33.
Durgesh V, Thomson J, Richmond MC, Polagye BL . 2014Noise correction of turbulent spectra obtained from acoustic Doppler velocimeters. Flow Meas. Instrum. 37, 29–41. (doi:10.1016/j.flowmeasinst.2014.03.001) Crossref, ISI, Google Scholar - 34.
McMillan JM, Hay AE . 2017Spectral and structure function estimates of turbulence dissipation rates in a high-flow tidal channel using broadband ADCPs. J. Atmos. Ocean. Technol. 34, 5–20. (doi:10.1175/JTECH-D-16-0131.1) Crossref, ISI, Google Scholar - 35.
Williams E, Simpson JH . 2004Uncertainties in estimates of Reynolds stress and TKE production rate using the ADCP variance method. J. Atmos. Ocean. Technol. 21, 347–357. (doi:10.1175/1520-0426(2004)021<0347:UIEORS>2.0.CO;2) Crossref, ISI, Google Scholar - 36.
Frish U . 1995The legacy of A.N. Kolmogorov. Cambridge, UK: Cambridge University Press. Crossref, Google Scholar - 37.
- 38.
Rippeth TP, Simpson JH, Williams E, Inall ME . 2003Measurement of the rates of production and dissipation of turbulent kinetic energy in an energetic tidal flow: Red Wharf Bay revisited. J. Phys. Oceanogr. 33, 1889–1901. (doi:10.1175/1520-0485(2003)033<1889:MOTROP>2.0.CO;2) Crossref, ISI, Google Scholar - 39.
Osalusi E, Side J, Harris R . 2009Reynolds stress and turbulence estimates in bottom boundary layer of Fall of Warness. Int. Commun. Heat Mass Transf. 36, 412–421. (doi:10.1016/j.icheatmasstransfer.2009.02.004) Crossref, ISI, Google Scholar - 40.
Dewey R, Stringer S . 2007Reynolds stresses and turbulent kinetic energy estimates from various ADCP beam configurations: theory. J. Phys. Oceanogr.1–35. Google Scholar


