[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Discontinuity, Nonlinearity and Complexity
ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Influence of Deep Vortices on the Ocean Surface

Discontinuity, Nonlinearity, and Complexity 4(3) (2015) 281--311 | DOI:10.5890/DNC.2015.09.006

Daniele Ciani, Xavier Carton$^{1}$, Igor Bashmachnikov$^{2}$, Bertrand Chapron$^{3}$, Xavier Perrot$^{4}$

$^{1}$ Laboratoire de Physique des Océans, UMR6523, Université de Bretagne Occidentale, 29200, Brest, France

$^{2}$ Marine and Environmental Sciences Centre (MARE), Faculdade de Ciências, Universidade de Lisboa, Lisbon, Portugal

$^{3}$ Laboratoire d’Océanographie Spatiale, IFREMER, Centre de Brest, Plouzané, France

$^{4}$ Laboratoire de Météorologie Dynamique, Ecole Normale Supérieure, Paris, France

Download Full Text PDF

 

Abstract

We study the influence of deep vortices on the ocean surface in terms of sea-surface elevation, a quantity related to a fluid stream function. We use several mathematical and numerical models, from the most idealized configurations (point vortices) to realistic ones (finite volume vortices). We determine analytically the surface influence of vortices at rest (steady signature) and in motion (dynamical signature). Then, using a nonlinear, numerical hydrodynamicmodel for oceanic vortices, we determine the growth with time of a dynamical signature for drifting vortices without steady signature. We conclude on the possibility to detect several types of oceanic vortices with surface measurements, using the results from our theory and experiments.

References

  1. [1]  Quadfasel, D., and Baudner, H.(1993),Gyre-scale circulation cells in the Red-Sea, Oceanologica Acta, 16(3), 221-229.
  2. [2]  Drillet, Yann, et al. (2003), Meddies in the Mercator North Atlantic and Mediterranean Sea eddy-resolving model, Journal of Geophysical Research: Oceans, (1978-2012) 110.C3.
  3. [3]  Capet, X., et al. (2008),Mesoscale to submesoscale transition in the California Current System. Part I: Flow structure, eddy flux, and observational tests, Journal of Physical Oceanography, 38(1) 29-43.
  4. [4]  Pingree, R. andMorrison, G. (1973), The Relationship between stability and source waters for a section in the northeast Atlantic, Journal of Geophysical Oceanography, 3(3), 280-285.
  5. [5]  Sweeney, E.N., McGillicuddy Jr, D. J., and Buesseler, K. O. (2003), Biogeochemical impacts due to mesoscale eddy activity in the Sargasso Sea as measured at the Bermuda Atlantic Time-series Study (BATS), Deep Sea Research Part II: Topical Studies in Oceanography, 50(22), 3017-3039.
  6. [6]  McWilliams, J.C. (1985), Submesoscale, coherent vortices in the ocean, Reviews of Geophysics, 23(2), 165-182.
  7. [7]  Carton, X. (2001), Hydrodynamical modeling of oceanic vortices, Surveys in Geophysics, 22(3), 179-263.
  8. [8]  Pingree, R. D., and Le Cann, B. (1993), Structure of a meddy (Bobby 92) southeast of the Azores, Deep Sea Research Part I: Oceanographic Research Papers, 40(10), 2077-2103.
  9. [9]  Senjyu, T., Ishimaru, T., Matsuyama, M., and Koike, Y. (1998), High salinity lens from the Strait of Hormuz, Offshore Environment of the ROPME Sea Area after the War-Related Oil Spill, 35-48.
  10. [10]  Shapiro, G. I., and Meschanov, S. L. (1991), Distribution and spreading of Red Sea Water and salt lens formation in the northwest Indian Ocean, Deep Sea Research Part A. Oceanographic Research Papers, 38(1), 21-34.
  11. [11]  Millot, C. (1999), Circulation in the western Mediterranean Sea, Journal of Marine Systems, 20(1), 423-442.
  12. [12]  Frenger, I., et al (2013), Imprint of Southern Ocean eddies on winds, clouds and rainfall, Nature Geoscience, 6(8), 608-612.
  13. [13]  Chelton, Dudley B., et al (2007), Global observations of large oceanic eddies, Geophysical Research Letters, 34.15.
  14. [14]  Lapeyre, G., and Klein, P. (2006), Dynamics of the upper oceanic layers in terms of surface quasi geostrophy theory, Journal of Physical Oceanography, 36(2), 165-176.
  15. [15]  Ponte, A. L., and Klein, P. (2013), Reconstruction of the upper ocean 3D dynamics from high-resolution sea surface height, Ocean Dynamics, 63(7), 777-791.
  16. [16]  Stammer, D., Hinrichsen, H. H. and Kase, R. H. (1991), Can meddies be detected by satellite altimetry?, Journal of Geophysical Research: Oceans (1978-2012), 96(C4), 7005-7014.
  17. [17]  Ienna, F., Young-Heon, J. and Xiao-Hai Y. (2014), A new method for tracking Meddies by satellite altimetry, Journal of Atmospheric and Oceanic Technology.
  18. [18]  Bashmachnikov, I., Boutov, D., and Dias, J. (2013),Manifestation of two meddies in altimetry and SST, Ocean Science, 9(2), 249-259.
  19. [19]  Fu, L. L., Alsdorf, D., Rodriguez, E., Morrow, R., Mognard, N., Lambin, J. Ana Vaze P and Lafon, T. (2009, September), The SWOT (SurfaceWater and Ocean Topography) Mission: spaceborne radar interferometry for oceanographic and hydrological applications, In OCEANOBS 09 Conference.
  20. [20]  Fu, L.L. and Cazenave, A. (2000), Satellite altimetry and earth sciences: a hand- book of techniques and applications, volume 69. Academic Press.
  21. [21]  Vallis, G. K. (2006), Atmospheric and oceanic fluid dynamics: fundamentals and large-scale circulation, Cambridge University Press
  22. [22]  Dritschel D. and Perrot X., Flow Interactions Between the Ocean Surface and the Interior: http://www-vortex.mcs.st-and.ac.uk/?dgd/FIBOSI
  23. [23]  Shchepetkin, A. F., and McWilliams, J. C. (2005). The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topography-following-coordinate oceanic model, Ocean Modelling, 9(4), 347-404.
  24. [24]  Bashmachnikov, I. and Carton, X. (2012), Surface signature of Mediterraneanwater eddies in the NortheasternAtlantic: effect of the upper ocean stratification, Ocean Sci., 8, 931-943.
  25. [25]  Cushman-Roisin,B. and Beckers, J.M. (2011), Introduction to geophysical fluid dynamics: physical and numerical aspects, volume 101. Academic Press
  26. [26]  Chelton, D., De Szoeke, R., Schlax, M., El Naggar, K., and Siwertz, N. (1998), Geographical Variability of the First Baroclinic Rossby Radius of Deformation, Journal of Physical Oceanography, 28, 433-459.
  27. [27]  Morel, Y., and McWilliams, J. (1997), Evolution of isolated interior vortices in the ocean, Journal of Physical Oceanography, 27(5), 727-748.
  28. [28]  L'Hegaret, P. (2015), Etude de la circulation de mésoéchelle et des sorties d'eaux du Golfe Persique dans l'Océan Indien Nord-Ouest, PhD Thesis, Universit∩e de Bretagne Occidentale.
  29. [29]  Cushman-Roisin, B., E. P. Chassignet and B. Tang. (1990),Westward motion of mesoscale eddies, Journal of Physical Oceanography, 20, 758-768.

Copyright © 2011-2023 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates