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Ocean Turbulence and Mixing Near the Shelf Break South-East of Nova Scotia

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Abstract

Formation of coastal fog was observed near the southern tip of Nova Scotia when warm, humid air was advected towards the shore over an area of colder water. The sea-surface temperature in the colder and higher salinity patch near the coast was below 14 °C compared to that of the surrounding sea of ≈ 17–18 °C. Measurements of stratification, currents, and the dissipation rate of turbulence kinetic energy (ε) on the Nova Scotia shelf, shelf break, and continental slope revealed the frequent occurrence of shear instability in the pycnocline. The probability of the gradient Richardson number \((Ri)\) being less than a critical value of \(Ri_{cr} = 0.25\) in the depth range 30–90 m exceeded 50% on the shelf and over the slope, and it was above 75% along the shelf break, while in the open ocean pycnocline the probability of \(Ri < 0.25\) is below 5%. The cumulative distribution functions of the dissipation rate in the pycnocline south-east of Nova Scotia followed the Burr probability model with median values from \(7.9 \times 10^{ - 9}\) W kg−1 on the slope to \(1.9 \times 10^{ - 8}\) W kg−1 at the shelf break. The eddy diffusivity (\(K_{N}\)) estimates follow a generalized extreme value distribution with a high median value of \(\left\langle {K_{N} } \right\rangle = 5.8 \times 10^{ - 5}\) m2 s−1 at the shelf break. The diffusivity \(K_{N}\) depended on \(Ri\) in general agreement with the parametrization previously suggested by Lozovatsky and Fernando (Philos Trans R Soc A 371:20120213, 2013) but with a higher level of mixing at \(Ri > 1\). This could be relevant to the nature of turbulence generation near the shelf break by random wave instabilities in the pycnocline at high Richardson and high Reynolds numbers.

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References

  • Burr IW (1942) Cumulative frequency functions. Ann Math Stat 13:215–232

    Article  Google Scholar 

  • Dorman CE, Mejia J, Koračin D, McEvoy D (2017) Worldwide marine fog occurrence and climatology. In: Koračin D, Dorman CE (eds) Marine fog challenges and advancements in observations, modeling, and forecasting. Springer, Dordrecht, pp 7–152

    Chapter  Google Scholar 

  • Fernando HJS. Gultepe I, Dorman C E, Pardyjak E, Richter DH, Wang Q, Hoch S, Creegan E, Gaberšek S, Chang RYW, Bullock T (2019) The C-fog project: toward improving coastal fog prediction. In: 99th annual meeting of the American Meteorological Society, 6–10 Jan 2019, Phoenix, Arizona, USA https://ams.confex.com/ams/2019Annual/webprogram/Paper351211.html

  • Fernando HJS, Gultepe I, Dorman C, Pardyjak E, Wang Q, Hoch SW, Richter D, Creegan E, Gaberšek S, Bullock T, Hocut C, Chang R, Alappattu D, Dimitrova R, Flagg D, Grachev A, Krishnamurthy R, Singh DK, Lozovatsky I, Nagare B, Sharma A, Wagh S, Wainwright C, Wroblewski M, Yamaguchi R, Bardoel S, Coppersmith R, Chisholm N, Gonzalez E, Gunawardena N, Hyde O, Morrison T, Olson A, Perelet A, Perrie W, Wang S, Wauer B (2020) C-FOG: Life of coastal fog. Bull Am Meteorol Soc (in press)

  • Fairall CW, Bradley EF, Hare JE, Grachev AA, Edson JB (2003) Bulk parameterization of air-sea fluxes: updates and verification for the COARE algorithm. J Clim 16(4):571–591

    Article  Google Scholar 

  • Gultepe I, Tardif R, Michaelides SC, Cermak J, Bott A, Bendix J, Müller MD, Pagowski M, Hansen B, Ellrod G, Jacobs W, Toth G, Cober SG (2007) Fog research: a review of past achievements and future perspectives. Pure Appl Geophys 164:1121–1159. https://doi.org/10.1007/s00024-007-0211-x

    Article  Google Scholar 

  • Gultepe I, Fernando HJS, Pardyjak E, Wang Q, Hocut C, Creegan E, Hoch S, Flagg D, Scanland N, Desjardins S, Yamaguchi R, Wang S, Pilon M, Bullock T, Pavolonis M, William P, Heymsfield A, Krishnamurthy R, Wainwright C, Gaberšek S (2019) C-FOG field campaign for coastal fog: emphases on microphysics versus dynamics. European Geophysical Union General Assembly, 7–12 April 2019, Vienna, Austria, EGU2019–3795

  • Koračin D, Dorman C (eds) (2017) Marine fog: challenges and advancements in observations, modeling, and forecasting. Springer, Dordrecht. https://doi.org/10.1007/978-3-319-45229-6_7

    Book  Google Scholar 

  • Kundu PK, Beardsley RC (1991) Evidence of a critical Richardson number in moored measurements during the upwelling season off northern California. J Geophys Res Oceans 96(C3):4855–4868. https://doi.org/10.1029/90JC02108

    Article  Google Scholar 

  • Isaac GA, Bullock T, Beale J, Beale S (2020) Characterizing and predicting marine fog offshore Newfoundland and Labrador. Weather Forecast 35:347–365. https://doi.org/10.1175/WAF-D-19-0085.1

    Article  Google Scholar 

  • Lee J-H, Lozovatsky I, Jang S-T, Jang C-J, Hong C-S, Fernando HJS (2006) Episodes of nonlinear internal waves in the Northern East China Sea. Geophys Res Lett 33:L18601. https://doi.org/10.1029/2006GL027136

    Article  Google Scholar 

  • Lozovatsky I, Figueroa M, Roget E, Fernando HJS, Shapovalov S (2005) Observations and scaling of the upper mixed layer in the North Atlantic. J Geophys Res 110:C05013. https://doi.org/10.1029/2004JC002708

    Article  Google Scholar 

  • Lozovatsky I, Roget E, Fernando HJS, Figueroa M, Shapovalov S (2006) Sheared turbulence in a weakly-stratified upper ocean. Deep-Sea Res I 53:387–407. https://doi.org/10.1016/j.dsr.2005.10.002

    Article  Google Scholar 

  • Lozovatsky I, Fernando HJS (2013) Mixing efficiency in natural flows. Phil Trans Roy Soc A 371(1982):20120213. https://doi.org/10.1098/rsta.2012.0213

    Article  Google Scholar 

  • Lozovatsky I, Lee J-H, Fernando HJS, Kang SK, Jinadasa SUP (2015) Turbulence in the East China Sea: the summertime stratification. J Geophys Res Oceans 120:1856–1871. https://doi.org/10.1002/2014JC010596

    Article  Google Scholar 

  • Lozovatsky I, Fernando HJS, Planella-Morato J, Liu Z, Lee J-H, Jinadasa SUP (2017) Probability distribution of turbulent kinetic energy dissipation rate in ocean: observations and approximations. J Geophys Res Oceans 122:8293–8308. https://doi.org/10.1002/2017JC013076

    Article  Google Scholar 

  • Lozovatsky I, Shearman K, Pirro A, Fernando HJS (2019a) Probability distribution of turbulent kinetic energy dissipation rate in stratified turbulence: microstructure measurements in the Southern California Bight. J Geophys Res Oceans 124:4591–4604. https://doi.org/10.1029/2019JC015087

    Article  Google Scholar 

  • Lozovatsky I, Pirro A, Jarosz E, Wijesekera HW, Jinadasa SUP, Fernando HJS (2019b) Turbulence at the periphery of Sri Lanka dome. Deep Sea Res II 168(104614):1–8. https://doi.org/10.1016/j.dsr2.2019.07.002

    Article  Google Scholar 

  • Munk WH, Anderson ER (1948) Notes on the theory of the thermocline. J Mar Res 3:276–295

    Google Scholar 

  • Nasmyth PW (1970) Oceanic turbulence. Ph. D. Dissertation, University of British Columbia, Vancouver.

  • Oakey NS (1982) Determination of the rate of dissipation of turbulent energy from simultaneous temperature and velocity shear microstructure measurements. J Phys Oceanogr 12:256–271

    Article  Google Scholar 

  • Panchev S, Kesich D (1969) Energy spectrum of isotropic turbulence at large wavenumbers. Proc Bulgar Acad Sci 22:627–630

    Google Scholar 

  • Peters H, Gregg MC, Tool JM (1988) On the parameterization of equatorial turbulence. J Geophys Res 93:1199–1218

    Article  Google Scholar 

  • Pollard RT, Rhines PB, Thompson RORY (1972) The deepening of the wind-mixed layer. Geophys Fluid Dyn 4(1):381–404

    Google Scholar 

  • Roget E, Lozovatsky I, Sanchez X, Figueroa M (2006) Microstructure measurements in natural waters: methodology and applications. Prog Oceanogr 70:123–148

    Article  Google Scholar 

  • Salehipour H, Caulfield CP, Peltier WR (2016) Turbulent mixing due to the Holmboe wave instability at high Reynolds number. J Fluid Mech 803:591–621. https://doi.org/10.1017/jfm.2016.488

    Article  Google Scholar 

  • Shay TJ, Gregg MC (1986) Convectively-driven turbulent mixing in the upper ocean. J Phys Oceanogr 16:1777–1798

    Article  Google Scholar 

  • Strang EJ, Fernando HJS (2001a) Entrainment and mixing in stratified shear flows. J Fluid Mech 428:349–386

    Article  Google Scholar 

  • Strang EJ, Fernando HJS (2001b) Vertical mixing and transport through a stratified shear layer. J Phys Oceanogr 31:2026–2048

    Article  Google Scholar 

  • Sutcliffe WH Jr, Loucks RH, Drinkwater KF (1976) Coastal circulation and physical oceanography of the Scotian Shelf and the Gulf of Maine. J Fish Res Board Can 33:98–115

    Article  Google Scholar 

  • Sun H, Yang Q, Tian J (2018) Microstructure measurements and finescale parameterization assessment of turbulent mixing in the northern South China Sea. J Oceanogr 74:485–498. https://doi.org/10.1007/s10872-018-0474-0

    Article  Google Scholar 

  • Thorpe SA (2007) An introduction to ocean turbulence. Cambridge Univ Press, Cambridge, p 235

    Book  Google Scholar 

  • Tokinaga H, Xie S-P (2009) Ocean tidal cooling effect on summer sea fog over the Okhotsk Sea. J Geophys Res Atmos 114:D14102. https://doi.org/10.1029/2008JD011477

    Article  Google Scholar 

  • Wagh SD., Krishnamurthy R, Wainwright C, Wang S, Dorman C, Fernando HJS Gultepe I (2020) Microphysics of marine fog formed by stratus lowering. Boundary-Layer Meteorol (submitted)

  • Wolk F, Yamazaki H, Seuront L, Lueck RG (2002) A new free-fall profiler for measuring biophysical microstructure. J Atmos Oceanic Technol 19(5):780–793

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the United States Office of Naval Research Award #N00014-18-1-2472 entitled: Toward Improving Coastal Fog Prediction (C-FOG). Assistance provided by the crew of the R/V Hugh R. Sharp is greatly appreciated. Special thanks to University of Notre Dame PhD student Annunziata Pirro and to Sandeep Wagh for processing ADCP and SST data and to Sen Wang, and Baban Nagare (Dalhousie University) for their assistance with data collection onboard.

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Correspondence to Iossif Lozovatsky.

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Lozovatsky, I., Wainwright, C., Creegan, E. et al. Ocean Turbulence and Mixing Near the Shelf Break South-East of Nova Scotia. Boundary-Layer Meteorol 181, 425–441 (2021). https://doi.org/10.1007/s10546-020-00576-z

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