Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets

AM Mancho; DM Small; S Wiggins

Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets

AM Mancho, DM Small, S Wiggins

Research output: Contribution to journal › Article (Academic Journal) › peer-review

59 Citations (Scopus)

Abstract

In this paper, we describe a unified algorithm for locating and computing hyperbolic trajectories, and then computing their stable and unstable manifolds, for finite time velocity fields in the form of a data set defined on a space-time grid. The algorithm is applied to a turbulent regime of a quasigeostrophic wind-driven double gyre in a rectangular domain.

Translated title of the contribution	Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets
Original language	English
Pages (from-to)	17 - 33
Number of pages	17
Journal	Nonlinear Processes in Geophysics
Volume	11 (1)
Publication status	Published - Feb 2004

Bibliographical note

Publisher: European Geosciences Union
Other identifier: IDS Number: 808IT

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http://www.copernicus.org/EGU/npg/11/1/17.htm

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@article{63486fda3307449f8bba8e82a5dadbe6,

title = "Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets",

abstract = "In this paper, we describe a unified algorithm for locating and computing hyperbolic trajectories, and then computing their stable and unstable manifolds, for finite time velocity fields in the form of a data set defined on a space-time grid. The algorithm is applied to a turbulent regime of a quasigeostrophic wind-driven double gyre in a rectangular domain.",

author = "AM Mancho and DM Small and S Wiggins",

note = "Publisher: European Geosciences Union Other identifier: IDS Number: 808IT ",

year = "2004",

month = feb,

language = "English",

volume = "11 (1)",

pages = "17 -- 33",

journal = "Nonlinear Processes in Geophysics",

issn = "1607-7946",

publisher = "Copernicus GmbH",

}

TY - JOUR

T1 - Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets

AU - Mancho, AM

AU - Small, DM

AU - Wiggins, S

N1 - Publisher: European Geosciences Union Other identifier: IDS Number: 808IT

PY - 2004/2

Y1 - 2004/2

N2 - In this paper, we describe a unified algorithm for locating and computing hyperbolic trajectories, and then computing their stable and unstable manifolds, for finite time velocity fields in the form of a data set defined on a space-time grid. The algorithm is applied to a turbulent regime of a quasigeostrophic wind-driven double gyre in a rectangular domain.

AB - In this paper, we describe a unified algorithm for locating and computing hyperbolic trajectories, and then computing their stable and unstable manifolds, for finite time velocity fields in the form of a data set defined on a space-time grid. The algorithm is applied to a turbulent regime of a quasigeostrophic wind-driven double gyre in a rectangular domain.

M3 - Article (Academic Journal)

SN - 1607-7946

VL - 11 (1)

SP - 17

EP - 33

JO - Nonlinear Processes in Geophysics

JF - Nonlinear Processes in Geophysics

ER -

Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets

Abstract

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