Lagrangian turbulence in the Adriatic Sea as computed from drifter data: Effects of inhomogeneity and nonstationarity

[1] The properties of mesoscale Lagrangian turbulence in the Adriatic Sea are studied from a drifter data set spanning 1990–1999, focusing on the role of inhomogeneity and nonstationarity. A preliminary study is performed on the dependence of the turbulent velocity statistics on bin averaging, and a preferential bin scale of 0.25° is chosen. Comparison with independent estimates obtained using an optimized spline technique confirms this choice. Three main regions are identified where the velocity statistics are approximately homogeneous: the two boundary currents, West (East) Adriatic Current, WAC (EAC), and the southern central gyre, CG. The CG region is found to be characterized by symmetric probability density function of velocity, approximately exponential autocorrelations, and well-defined integral quantities such as diffusivity and timescale. The boundary regions, instead, are significantly asymmetric, with skewness indicating preferential events in the direction of the mean flow. The autocorrelation in the along mean flow direction is characterized by two timescales, with a secondary exponential with slow decay time of ≈11–12 days particularly evident in the EAC region. Seasonal partitioning of the data shows that this secondary scale is especially prominent in the summer-fall season. Possible sampling issues as well as physical explanations for the secondary scale are discussed. Physical mechanisms include low-frequency fluctuations of forcings and mean flow curvature inducing fluctuations in the particle trajectories. Consequences of the results for transport modeling in the Adriatic Sea are discussed.

[1]  Huai-Min Zhang,et al.  Isopycnal Lagrangian statistics from the North Atlantic Current RAFOS float observations , 2001 .

[2]  B. Cushman-Roisin,et al.  Physical Oceanography of the Adriatic Sea , 2001 .

[3]  The Spectral Analysis of Time Series , 1988 .

[4]  H. Risken The Fokker-Planck equation : methods of solution and applications , 1985 .

[5]  P. Poulain Adriatic Sea surface circulation as derived from drifter data between 1990 and 1999 , 2001 .

[6]  H. Risken Fokker-Planck Equation , 1984 .

[7]  H. Risken,et al.  The Fokker-Planck Equation: Methods of Solution and Application, 2nd ed. , 1991 .

[8]  J. Elgin The Fokker-Planck Equation: Methods of Solution and Applications , 1984 .

[9]  R. Davis,et al.  Modeling eddy transport of passive tracers , 1987 .

[10]  F. Durst,et al.  Probability density distribution in turbulent wall boundary layer flows , 1987 .

[11]  R. Davis,et al.  Lagrangian and Eulerian Measurements of Ocean Transport Processes , 1994 .

[12]  A. Provenzale,et al.  Velocity Probability Density Functions for Oceanic Floats , 2000 .

[13]  P. Poulain,et al.  Eulerian current measurements in the Strait of Otranto and in the Southern Adriatic , 1999 .

[14]  P. Poulain,et al.  Unusual upwelling event and current reversal off the Italian Adriatic coast in summer 2003 , 2004 .

[15]  Annalisa Griffa,et al.  Applications of stochastic particle models to oceanographic problems , 1996 .

[16]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[17]  D. Lenschow,et al.  How long is long enough when measuring fluxes and other turbulence statistics , 1994 .

[18]  M. Swenson,et al.  Statistical analysis of the surface circulation of the California Current , 1996 .

[19]  T. Tatsumi Theory of Homogeneous Turbulence , 1980 .

[20]  B. Cushman-Roisin Physical oceanography of the Adriatic Sea : past, present, and future , 2001 .

[21]  Russ E. Davis,et al.  Observing the general circulation with floats , 1991 .

[22]  Annalisa Griffa,et al.  Transport Properties in the Adriatic Sea as Deduced from Drifter Data , 2000 .

[23]  F. Raicich On the fresh balance of the Adriatic Sea , 1996 .

[24]  Aniello Russo,et al.  The Adriatic Sea General Circulation. Part II: Baroclinic Circulation Structure , 1997 .

[25]  D. B. Preston Spectral Analysis and Time Series , 1983 .

[26]  D. Thomson Criteria for the selection of stochastic models of particle trajectories in turbulent flows , 1987, Journal of Fluid Mechanics.

[27]  S. Bauer Eddy-mean flow decomposition and eddy-diffusivity estimates in the tropical Pacific Ocean , 1998 .

[28]  P. Poulain,et al.  Measurements of the water-following capability of holey-sock and TRISTAR drifters , 1995 .

[29]  James C. McWilliams,et al.  Material Transport in Oceanic Gyres. Part II: Hierarchy of Stochastic Models , 2002 .

[30]  S. Corrsin Limitations of Gradient Transport Models in Random Walks and in Turbulence , 1975 .

[31]  A. Provenzale,et al.  Lagrangian Velocity Distributions in a High-Resolution Numerical Simulation of the North Atlantic , 2003 .

[32]  Antonello Provenzale,et al.  Parameterization of dispersion in two-dimensional turbulence , 2001, Journal of Fluid Mechanics.

[33]  Allan R. Robinson,et al.  Ocean processes in climate dynamics : global and mediterranean examples , 1994 .

[34]  Annalisa Griffa,et al.  Prediction of particle trajectories in the Adriatic Sea using Lagrangian data assimilation , 2001 .

[35]  D. Olson,et al.  Influence of monsoonally-forced Ekman dynamics upon surface layer depth and plankton biomass distribution in the Arabian Sea , 1991 .

[36]  Lagrangian Time-Scales in Homogeneous Non-Gaussian Turbulence , 2001 .

[37]  Annalisa Griffa,et al.  Oceanic Turbulence and Stochastic Models from Subsurface Lagrangian Data for the Northwest Atlantic Ocean , 2004 .

[38]  K. Speer,et al.  Does the Potential Vorticity Distribution Constrain the Spreading of Floats in the North Atlantic , 2000 .

[39]  H. Inoue A least-squares smooth fitting for irregularly spaced data; finite-element approach using the cubic B-spline basis , 1986 .

[40]  B. Sawford Rotation Of Trajectories In Lagrangian Stochastic Models Of Turbulent Dispersion , 1999 .

[41]  Pierre-Marie Poulain,et al.  Drifter observations of surface circulation in the Adriatic Sea between December 1994 and March 1996 , 1999 .