Wind induced oscillator dynamics in the Black Sea revealed by Lagrangian drifters

Ivanov, Leonid M.; Melnichenko, Oleg; Collins, Curtis A.; Еремеев, В. Н.; Motyzhev, S. V.

doi:10.1029/2007gl030263

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…The SVP drifters were satellite-tracked with 8-10 positions a day and geolocation accuracy of up to 1 km. For details on these data see [17,35] and becomes non-zero if the distribution of the displacement (the van Hove correlat function) is not Gaussian. According to a classical definition of ergodicity used in theoretical physics, the m over time should converge to the mean over a statistical ensemble for an ergodic proc when T→ ∞.…”

Section: Lagrangian Trajectoriesmentioning

confidence: 99%

“…In this paper a novel technique for estimation of turbulent diffusion coefficients from a single Lagrangian trajectory has been developed and will subsequently be referred to as the Single Trajectory Method or "STM." The STM will be applied to the analysis of 13 drifters deployed in the Black Sea in 2002-2003 [17] and two floats deployed in the California Current System [18]. In the latter case, floats were chosen which demonstrated abnormal eddy diffusion (subdiffusion) caused by the trapping of floats by mesoscale eddies.…”

Section: Introductionmentioning

confidence: 99%

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Reconstruction of Diffusion Coefficients and Power Exponents from Single Lagrangian Trajectories

Ivanov

Collins

Margolina

2021

Fluids

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Using discrete wavelets, a novel technique is developed to estimate turbulent diffusion coefficients and power exponents from single Lagrangian particle trajectories. The technique differs from the classical approach (Davis (1991)’s technique) because averaging over a statistical ensemble of the mean square displacement (<X2>) is replaced by averaging along a single Lagrangian trajectory X(t) = {X(t), Y(t)}. Metzler et al. (2014) have demonstrated that for an ergodic (for example, normal diffusion) flow, the mean square displacement is <X2 > = , where (T,s) = 1/(T − s) − X(t))2 dt, T and s are observational and lag times but for weak non-ergodic (such as super-diffusion and sub-diffusion) flows <X2> = , where is some additional averaging. Numerical calculations for surface drifters in the Black Sea and isobaric RAFOS floats deployed at mid depths in the California Current system demonstrated that the reconstructed diffusion coefficients were smaller than those calculated by Davis (1991)’s technique. This difference is caused by the choice of the Lagrangian mean. The technique proposed here is applied to the analysis of Lagrangian motions in the Black Sea (horizontal diffusion coefficients varied from 105 to 106 cm2/s) and for the sub-diffusion of two RAFOS floats in the California Current system where power exponents varied from 0.65 to 0.72. RAFOS float motions were found to be strongly non-ergodic and non-Gaussian.

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Section: Lagrangian Trajectoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%