Quantification and characterization of mesoscale eddies with different automatic identification algorithms

ABSTRACT Viikmäe, B., Torsvik, T., 2013. Quantification and characterization of mesoscale eddies with different automatic identification algorithms Automatic methods for detection of mesoscale eddies are usually based on either physical (e.g. Okubo-Weiss parameter) or geometrical (e,g, streamline winding-angle) flow characteristics. In this paper, a hybrid method combining the strengths of the two different approaches is applied to the Eulerian velocity fields for two case studies: (i) the Gulf of Finland (the Baltic Sea) and (ii) the Raunefjord and Vatlestraumen area south-west of Bergen, Norway. Velocity fields are investigated with a hybrid winding-angle method (HWA), where the Okubo-Weiss parameter is first used to detect potential eddies, and the winding-angle method is used locally within these regions to test the Okubo-Weiss result. In the Gulf of Finland, the HWA method results in a substantially reduced number of detected eddies compared with the Okubo-Weiss result, indicating that the Okubo-Weiss parameter severely overestimates the number of eddies. In Vatlestraumen, there was a better correspondence between results obtained by the HWA and the Okubo-Weiss methods. The HWA method requires careful analysis since more than one streamline may identify the same eddy structure.

[1]  Russ E. Davis,et al.  LAGRANGIAN OCEAN STUDIES , 1991 .

[2]  Frits H. Post,et al.  Detection, quantification, and tracking of vortices using streamline geometry , 2000, Comput. Graph..

[3]  Peter Lundberg,et al.  Age and renewal time of water masses in a semi-enclosed basin — application to the Gulf of Finland , 2003 .

[4]  Frits H. Post,et al.  Geometric Methods for Vortex Extraction , 1999 .

[5]  Alexis Chaigneau,et al.  Mesoscale eddies off Peru in altimeter records: Identification algorithms and eddy spatio-temporal patterns , 2008 .

[6]  T. R. Anderson,et al.  Validation of three-dimensional hydrodynamic models of the Gulf of Finland , 2010 .

[7]  Tommy D. Dickey,et al.  A Vector Geometry–Based Eddy Detection Algorithm and Its Application to a High-Resolution Numerical Model Product and High-Frequency Radar Surface Velocities in the Southern California Bight , 2010 .

[8]  Peter Lundberg,et al.  Mean circulation and water exchange in the Gulf of Finland: a study based on three-dimensional modelling , 2003 .

[9]  E. Quak,et al.  Patterns of current-induced transport in the surface layer of the Gulf of Finland , 2011 .

[10]  S. K. Robinson,et al.  Coherent Motions in the Turbulent Boundary Layer , 1991 .

[11]  J. Weiss The dynamics of entropy transfer in two-dimensional hydrodynamics , 1991 .

[12]  D. Chelton,et al.  Global observations of nonlinear mesoscale eddies , 2011 .

[13]  C. D. B. Montégut,et al.  Comparison between three implementations of automatic identification algorithms for the quantification and characterization of mesoscale eddies in the South Atlantic Ocean , 2011 .

[14]  A. Ōkubo Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergences , 1970 .

[15]  I. Sadarjoen,et al.  Selective visualization of vortices in hydrodynamic flows , 1998, Proceedings Visualization '98 (Cat. No.98CB36276).

[16]  Walter Munk,et al.  Spirals on the sea , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[17]  Alexander Sokolov,et al.  The use of high-resolution bathymetry for circulation modelling in the Gulf of Finland , 2010 .

[18]  J. Font,et al.  Identification of Marine Eddies from Altimetric Maps , 2003 .

[19]  Kai Myrberg,et al.  Variability of the baroclinic Rossby radius in the Gulf of Finland , 2003 .