Lagrangian study of transport and mixing in a mesoscale eddy street

Prants, S. V.; Budyansky, M. V.; Пономарев, В. И.; Uleysky, M. Yu.

doi:10.1016/j.ocemod.2011.02.008

Cited by 70 publications

(64 citation statements)

References 46 publications

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“…Relationship to relative positioning of manifolds at each time: The flux formula (22), in the situation in which the disturbance is small, has a connection with the width of the chaotic zone. This is because flux occurs when the distance between y s (t) and y u (t) is large, and exactly this distance can be thought of as the width of the zone.…”

Section: Discussionmentioning

confidence: 99%

“…This results in the flux function (22) itself being time-sinusoidal; indeed, more can be said [39,81]. There would then be a pulsation of fluid into and subsequently out of, the eddy, during one cycle (corresponding exactly to the sine function being positive over the first half-cycle and negative over the next half-cycle), with this process repeating time-sinusoidally.…”

Section: Relationship To Chaotic Transportmentioning

confidence: 99%

“…While the expressions (22) and (23) for the fluid and PV flux are simple, the difficulty comes in identifying the gate. That is, the stable and unstable manifolds for the perturbed flow (18) need to be known.…”

Section: Fluid and Potential Vorticity Fluxmentioning

confidence: 99%

“…In any case, since large A kl indicates large excursions, using A kl as a measure of how much fluid/PV is transported does remain legitimate. At any frozen time (such as at the time t = 0 which is pictured), the instantaneous flux (fluid or PV) is obtainable by (22) or (23). The gate is shown by the blue line in all these panels, and as time progresses forward, say, all curves will 'flow to the right' resulting in the intersection patterns moving through the gate.…”

Section: Optimal Wavenumbersmentioning

confidence: 99%

See 3 more Smart Citations

Meridional and Zonal Wavenumber Dependence in Potential Vorticity Flux in Rossby Waves

Balasuriya

2016

Preprint

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Eddy-driven jets are of importance in the ocean and atmosphere, and to a first approximation are governed by Rossby wave dynamics. This study addresses the time-dependent flux of fluid and potential vorticity between such a jet and an adjacent eddy, with specific regard to determining zonal and meridional wavenumber dependence. The flux amplitude in wavenumber space is obtained, which is easily computable for a given jet geometry, speed and latitude, and which provides instant information on the wavenumbers of the Rossby waves which maximize the flux. This new tool enables the quick determination of which modes are most influential in imparting fluid exchange, which in the long term will homogenize the potential vorticity between the eddy and the jet. The results are validated by computing backward-and forward-time finite-time Lyapunov exponent fields, and also stable and unstable manifolds; the intermingling of these entities defines the region of chaotic transport between the eddy and the jet. The relationship of all of these to the time-varying transport flux between the eddy and the jet is carefully elucidated. The flux quantification presented here works for general time-dependence, whether or not lobes (intersection regions between stable and unstable manifolds) are present in the mixing region, and is therefore also easily computable for wave packets consisting of infinitely many wavenumbers.

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Section: Discussionmentioning

confidence: 99%

Section: Relationship To Chaotic Transportmentioning

confidence: 99%

Section: Fluid and Potential Vorticity Fluxmentioning

confidence: 99%

Section: Optimal Wavenumbersmentioning

confidence: 99%

See 2 more Smart Citations

Meridional and Zonal Wavenumber Dependence in Potential Vorticity Flux in Rossby Waves

Balasuriya

2016

Preprint

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“…The FTLE is the finite-time average of the maximal separation rate for a pair of neighbouring advected particles which is given by [9] λ(r(t))…”

Section: Introductionmentioning

confidence: 99%

Lagrangian Tools to Monitor Chaotic Transport and Mixing in the Ocean

Prants¹,

Budyansky²,

Uleysky³

2012

Chaos, Complexity and Transport

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We apply the Lagrangian approach to study surface transport and mixing in the ocean. New tools have been developed to track the motion of water masses, their origin and fate and to quantify transport and mixing. To illustrate the methods used we compute the Lagrangian synoptic maps a comparatively small marine bay, the Peter the Great Bay in the Japan Sea near Vladivostok city (Russia), and in a comparatively large region in the North Pacific, the Kuroshio Extension system. In the first case we use velocity data from a Japan Sea circulation numerical model and in the second one the velocity data are derived from satellite altimeter measurements of anomalies of the sea height distributed by AVISO.

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How Eddies Gain, Retain, and Release Water: A Case Study of a Hokkaido Anticyclone

2018

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A Lagrangian methodology is elaborated to identify the origin of water masses in the Kuroshio‐Oyashio frontal zone where waters of the Kuroshio Extension and Oyashio Current and of the Japan and Okhotsk Seas converge. It allows one to track the evolution of mesoscale eddies during the satellite‐altimetry era and to document how they gain, retain, and release water masses of different origin. The methodology is applied to study warm‐core mesoscale anticyclones propagating along the Japan and Kuril Trenches near the eastern coast of Hokkaido Island that have been observed from 1 January 1993 to 10 December 2016 in an altimetry‐based velocity field. The Hokkaido eddy, sampled by profiling floats and a few cruises in 2003 and 2004, is analyzed in detail in order to compare Lagrangian simulation results to observations.

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Lagrangian study of transport and mixing in a mesoscale eddy street

Cited by 70 publications

References 46 publications

Meridional and Zonal Wavenumber Dependence in Potential Vorticity Flux in Rossby Waves

Meridional and Zonal Wavenumber Dependence in Potential Vorticity Flux in Rossby Waves

Lagrangian Tools to Monitor Chaotic Transport and Mixing in the Ocean

How Eddies Gain, Retain, and Release Water: A Case Study of a Hokkaido Anticyclone

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