Turbulence Decay and Restratification in the Equatorial Ocean Surface Layer following Nighttime Convection

D. R. Caldwell College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, Oregon

Search for other papers by D. R. Caldwell in
Current site
Google Scholar
PubMed
Close
,
R-C. Lien Applied Physics Laboratory, University of Washington, Seattle, Washington

Search for other papers by R-C. Lien in
Current site
Google Scholar
PubMed
Close
,
J. N. Moum College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, Oregon

Search for other papers by J. N. Moum in
Current site
Google Scholar
PubMed
Close
, and
M. C. Gregg Applied Physics Laboratory, University of Washington, Seattle, Washington

Search for other papers by M. C. Gregg in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

Although the process of restratification of the ocean surface layer at the equator following nighttime convection is similar in many ways to the process at midlatitudes, there are important differences. A composite day calculated from 15 days of consistent conditions at 140°W on the equator was compared with midlatitude observations by Brainerd and Gregg. In the depth range of 20–40 m, 1) minimum nighttime stratification was similar [N2 of 1.2–3.2 (× 10−6 s−2) vs 0.4–1.7 (× 10−6 s−2)], 2) maximum daytime stratification was significantly larger, as might be expected from the greater surface heat input [N2 of 8–21 (× 10−6 s−2 vs 3–7 (× 10−6 s−2)], and 3) minimum nighttime shear was similar [shear-squared was 1.4–4.6 (× 10−6 s−2) vs 0.8–1.9 (× 10−6 s−2)], but the maximum daytime shear was much larger [shear-squared of 24–41 (× 10−6 s−2) vs 3–7 (× 10−6 s−2)].

For much of the surface layer, the dominant identifiable cause of restratification in both cases was the divergence of the penetrating shortwave radiation, although at the equator the divergence of turbulent flux was important from 10 to 25 m. In both cases the divergence of vertical fluxes accounted for only 60%–70% of the restratification; relaxation of lateral gradients was probably the source for the rest. At the equator, the shear in the upper 40 m was restored in the daytime by turbulent transport of momentum injected by the wind.

In the region convectively mixed at night, turbulence decayed exponentially in the daytime in both cases, the e-folding time, τε, being 1.7 ± 0.2 h at the equator, 1.5 h in midlatitude. A dimensionless decay time, Nτε, was 7.2–9.3 compared with 6.0 in the midlatitude case. In both cases the vertical scale of the turbulence was controlled by the Ozmidov scale, and the turbulence remained active throughout the day.

At the equator “deep-cycle” nighttime turbulence was generated in the always-stratified water at depth 60–80 m never reached by nighttime convection. Neither shear nor stratification varied significantly diurnally. The decay of this turbulence was similar to that above in that its vertical scale was controlled by the Ozmidov scale and remained active throughout the day, but the e-folding timescale was much longer, 3.5 h (Nτε = 66–96). For the turbulence to persist this long, turbulence production must be a large proportion of ε.

Corresponding author address: Dr. Douglas R. Caldwell, College of Oceanic and Atmospheric Sciences, Oregon State University, Oceanography Admin. Bldg. 104, Corvallis, OR 97331-5503.

Abstract

Although the process of restratification of the ocean surface layer at the equator following nighttime convection is similar in many ways to the process at midlatitudes, there are important differences. A composite day calculated from 15 days of consistent conditions at 140°W on the equator was compared with midlatitude observations by Brainerd and Gregg. In the depth range of 20–40 m, 1) minimum nighttime stratification was similar [N2 of 1.2–3.2 (× 10−6 s−2) vs 0.4–1.7 (× 10−6 s−2)], 2) maximum daytime stratification was significantly larger, as might be expected from the greater surface heat input [N2 of 8–21 (× 10−6 s−2 vs 3–7 (× 10−6 s−2)], and 3) minimum nighttime shear was similar [shear-squared was 1.4–4.6 (× 10−6 s−2) vs 0.8–1.9 (× 10−6 s−2)], but the maximum daytime shear was much larger [shear-squared of 24–41 (× 10−6 s−2) vs 3–7 (× 10−6 s−2)].

For much of the surface layer, the dominant identifiable cause of restratification in both cases was the divergence of the penetrating shortwave radiation, although at the equator the divergence of turbulent flux was important from 10 to 25 m. In both cases the divergence of vertical fluxes accounted for only 60%–70% of the restratification; relaxation of lateral gradients was probably the source for the rest. At the equator, the shear in the upper 40 m was restored in the daytime by turbulent transport of momentum injected by the wind.

In the region convectively mixed at night, turbulence decayed exponentially in the daytime in both cases, the e-folding time, τε, being 1.7 ± 0.2 h at the equator, 1.5 h in midlatitude. A dimensionless decay time, Nτε, was 7.2–9.3 compared with 6.0 in the midlatitude case. In both cases the vertical scale of the turbulence was controlled by the Ozmidov scale, and the turbulence remained active throughout the day.

At the equator “deep-cycle” nighttime turbulence was generated in the always-stratified water at depth 60–80 m never reached by nighttime convection. Neither shear nor stratification varied significantly diurnally. The decay of this turbulence was similar to that above in that its vertical scale was controlled by the Ozmidov scale and remained active throughout the day, but the e-folding timescale was much longer, 3.5 h (Nτε = 66–96). For the turbulence to persist this long, turbulence production must be a large proportion of ε.

Corresponding author address: Dr. Douglas R. Caldwell, College of Oceanic and Atmospheric Sciences, Oregon State University, Oceanography Admin. Bldg. 104, Corvallis, OR 97331-5503.

Save
  • Anis, A., and J. N. Moum, 1995: Surface wave–turbulence interactions: Scaling ε(z) near the sea surface. J. Phys. Oceanogr.,25, 2025–2045.

  • Brainerd, K. E., and M. C. Gregg, 1993a: Diurnal restratification and turbulence in the oceanic surface mixed layer: 1. Observations. J. Geophys. Res.,98, 22 645–22 656.

  • ——, and ——, 1993b: Diurnal restratification and turbulence in the oceanic surface mixed layer. 2: Modeling. J. Geophys. Res.,98, 22 657–22 664.

  • Crawford, W. R., 1986: A comparison of length scales and decay times of turbulence in stably stratified flows. J. Phys. Oceanogr.,16, 1847–1854.

  • Dillon, T. M., 1982: Vertical overturns: A comparison of Thorpe and Ozmidov scales. J. Geophys. Res.,87, 9601–9613.

  • ——, J. N. Moum, T. K. Chereskin, and D. R. Caldwell, 1989: Zonal momentum balance at the equator. J. Phys. Oceanogr.,19, 561–570.

  • Drennan, W. M., M. A. Donelan, E. A. Terray, and K. B. Katsaros, 1996: Oceanic turbulence dissipation measurements in SWADE. J. Phys. Oceanogr.,26, 808–815.

  • Gargett, A. E., and J. N. Moum, 1995: Mixing efficiencies in turbulent tidal fronts: Results from direct and indirect measurements of density flux. J. Phys. Oceanogr.,25, 2583–2608.

  • Gregg, M. C., H. Peters, J. C. Wesson, N. S. Oakey, and T. J. Shay, 1985: Intensive measurements of turbulence and shear in the equatorial undercurrent. Nature,318, 140–144.

  • Itsweire, E. G., 1984: Measurements of vertical overturns in a stably stratified turbulent flow. Phys. Fluids,27, 764–766.

  • ——, K. N. Helland, and C. W. Van Atta, 1986: The evolution of grid-generated turbulence in a stably stratified fluid. J. Fluid Mech.,162, 299–338.

  • Jerlov, N. G., 1968: Optical Oceanography. Elsevier, 194 pp.

  • Lien, R.-C., M. J. McPhaden, and D. Hebert, 1994: Intercomparison of ADCP measurements at 0°, 140°W. J. Atmos. Oceanic Technol.,11, 1334–1349.

  • ——, D. R. Caldwell, M. C. Gregg, and J. N. Moum, 1995: Turbulence variability at the equator in the central Pacific at the beginning of the 1991–93 El Niño. J. Geophys. Res.,100, 6881–6898.

  • ——, M. J. McPhaden, and M. C. Gregg, 1996: High-frequency internal waves at 0°, 140°W and their possible relationship to deep-cycle turbulence. J. Phys. Oceanogr.,26, 581–600.

  • Lombardo, C. P., and M. C. Gregg, 1989: Similarity scaling during nighttime convection. J. Geophys. Res.,94, 6273–6284.

  • Mangum, L. J., and S. P. Hayes, 1984: The vertical structure of the zonal pressure gradient in the eastern equatorial Pacific. J. Geophys. Res.,89, 10 441–10 449.

  • McPhaden, M. J., and H. Peters, 1992: Diurnal cycle of internal wave variability in the equatorial Pacific Ocean: Results from moored observations. J. Phys. Oceanogr.,22, 1317–1329.

  • Moum, J. N., 1996: Energy-containing scales of turbulence in the ocean thermocline. J. Geophys. Res.,101, 22495–22512.

  • ——, and D. R. Caldwell, 1985: Local influences on shear flow turbulence in the equatorial ocean. Science,230, 315–316.

  • ——, ——, and C. A. Paulson, 1989: Mixing in the equatorial surface layer and thermocline. J. Geophys. Res.,94, 2005–2021.

  • ——, M. J. McPhaden, D. Hebert, H. Peters, C. A. Paulson, and D. R. Caldwell, 1992a: Internal waves, dynamic instabilities, and turbulence in the equatorial thermocline: An introduction to three papers in this issue. J. Phys. Oceanogr.,22, 1357–1359.

  • ——, D. Hebert, C. A. Paulson, and D. R. Caldwell, 1992b: Turbulence and internal waves at the equator. Part I: Statistics from towed thermistors and a microstructure profiler. J. Phys. Oceanogr.,22, 1330–1345.

  • ——, M. C. Gregg, R.-C. Lien, and M.-E. Carr, 1995: Comparison of turbulence kinetic energy dissipation rate estimates from two ocean microstructure profilers. J. Atmos. Oceanic Technol.,12, 346–366.

  • Paulson, C. A., and J. J. Simpson, 1977: Irradiance measurements in the upper ocean. J. Phys. Oceanogr.,7, 952–956.

  • Peters, H., M. C. Gregg, and J. M. Toole, 1988: On the parameterization of equatorial turbulence. J. Geophys. Res.,93, 1199–1218.

  • ——, ——, and ——, 1989: Meridional variability of turbulence through the equatorial undercurrent. J. Geophys. Res.,94, 18 003–18 009.

  • ——, ——, and T. B. Sanford, 1994: The diurnal cycle of the upper equatorial ocean: Turbulence, fine-scale shear, and mean shear. J. Geophys. Res.,99, 7707–7723.

  • Smyth, W. D., P. O. Zavialov, and J. N. Moum, 1997: Decay of turbulence in the upper ocean following sudden isolation from surface forcing. J. Phys. Oceanogr.,27, 810–822.

  • Stillinger, D. C., K. N. Helland, and C. W. Van Atta, 1983: Experiments on the transition of homogeneous turbulence to internal waves in a stratified fluid. J. Fluid Mech.,131, 91–122.

  • Terray, E. A., M. A. Donelan, Y. C. Agrawal, W. M. Drennan, K. K. Kahma, A. J. Williams, P. A. Hwang, and S. A. Kitaigorodskii, 1996: Estimates of kinetic energy dissipation under breaking waves. J. Phys. Oceanogr.,26, 792–807.

  • Wijesekera, H. W., T. M. Dillon, and L. Padman, 1993: Some statistical and dynamical properties of turbulence in the oceanic pycnocline. J. Geophys. Res.,98, 22 665–22 679.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 502 285 53
PDF Downloads 148 38 3