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Seasonal Variability of the Subpolar Gyres in the Southern Ocean: a Numerical Investigation Based on Transfer Operators : Volume 16, Issue 6 (08/12/2009)

By Dellnitz, M.

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Book Id: WPLBN0003986837
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Seasonal Variability of the Subpolar Gyres in the Southern Ocean: a Numerical Investigation Based on Transfer Operators : Volume 16, Issue 6 (08/12/2009)  
Author: Dellnitz, M.
Volume: Vol. 16, Issue 6
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Horenkamp, C., Froyland, G., Padberg-Gehle, K., Dellnitz, M., & Gupta, A. S. (2009). Seasonal Variability of the Subpolar Gyres in the Southern Ocean: a Numerical Investigation Based on Transfer Operators : Volume 16, Issue 6 (08/12/2009). Retrieved from

Description: Department of Mathematics, University of Paderborn, 33095 Paderborn, Germany. The detection of regions in the ocean that are coherent over an extended period of time is a fundamental problem in many oceanic applications. For instance such regions are important for studying the transport of marine species and for the distribution of nutrients. In this study we demonstrate the efficacy of transfer operators in detecting and analysing such structures. We focus first on the detection of the Weddell and Ross Gyre for the four seasons spanning December 2003–November 2004 within the 3-D oceanic domain south of 30° S, and show distinct seasonal differences in both the three-dimensional structure and the persistence of the gyres. Further, we demonstrate a new technique based on the discretised transfer operators to calculate the mean residence time of water within parts of the gyres and determine pathways of water leaving and entering the gyres.

Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators

Aumont, O., Orr, J., Jamous, D., Monfray, P., Marti, O., and Madec, G.: A degradation approach to accelerate simulations to steady-state in a 3-D tracer transport model of the global ocean, Clim. Dynam., 14, 101–116, 1998.; Barnier, B., Madec, G., Penduff, T., Molines, J.-M., Treguier, A.-M., Sommer, J. L., Beckmann, A., Biastoch, A., Boening, C., Dengg, J., Derval, C., Durand, E., Gulev, S., Remy, E., Talandier, C., Theetten, S., Maltrud, M., McClean, J., and De Cuevasm, B.: Impact of partial steps and momentum advection schemes in a global ocean circulation model at eddy-permitting resolution, Ocean Dynam., 56, 543–567, 2006.; Brémaud, P.: Markov Chains: Gibbs fields, Monte Carlo simulation, and queues, Springer, 1999.; Carmack, E. C.: Water characteristics of the Southern Ocean south of the Polar Front, A Voyage of Discovery, George Deacon 70th Anniversary Volume, edited by: Angel, M., Pergamon Press, Oxford, 15–41, 1977.; Dellnitz, M. and Junge, O.: On the approximation of complicated dynamical behavior, SIAM J. Numer. Anal., 36, 491–515, 1999.; Haller, G.: Distinguished material surfaces and coherent structures in three-dimensional fluid flows, Physica D, 149, 248–277, 2001.; Dellnitz, M., Froyland, G., and Junge, O.: The algorithms behind GAIO – Set oriented numerical methods for dynamical systems, Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, edited by: Fiedler, B., Springer, 145–174, 2001.; Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., Ross, S. D., and Thiere, B.: Transport in dynamical astronomy and multibody problems, Int. J. Bifurcat. Chaos, 15, 699–727, 2005.; Döös, K.: Interocean exchange of water masses, J. Geophys. Res., 100, 13499–13514, 1995.; Froyland, G.: Extracting dynamical behaviour via Markov models, Nonlinear Dynamics and Statistics: Proceedings Newton Institute, Cambridge, 1998, edited by: Mees, A., Birkhauser, 283–324, 2001.; Froyland, G. and Dellnitz, M.: Detecting and locating near-optimal almost-invariant sets and cycles, SIAM J. Sci. Comput., 24, 1839–1863, 2003.; Froyland, G.: Statistically optimal almost-invariant sets, Physica D, 200, 205–219, 2005.; Froyland, G., Padberg, K., England, M. H., and Treguier, A.-M.: Detection of coherent oceanic structures via transfer operators, Phys. Rev. Lett., 98(22), 224503, 4 pp., 2007.; Froyland, G., Schwalb, M., Padberg, K., and Dellnitz, M.: A transfer operator based numerical investigation of coherent structures in three-dimensional Southern Ocean circulation, in: Proceedings of the International Symposium on Nonlinear Theory and its Applications (NOLTA2008), Budapest, Hungary, 313–316, 2008.; Froyland, G. and Padberg, K.: Almost-invariant sets and invariant manifolds – connecting probabilistic and geometric descriptions of coherent structures in flows, Physica D, 238, 1507–1523, 2009.; Froyland, G., Lloyd, S., and Santitissadeekorn, N.: Coherent sets \noindent for nonautonomous dynamical systems, preprint available at:, 2009.; Fu, L.-L.: Pathways of eddies in the south atlantic ocean revealed from satellite altimeter observations, Geophys. Res. Lett., 33, L14610, doi:10.1029/2006GL026245, 2006.; Griffies, S. M., Biastoch, A., Boening, C., Bryan, F., Danabasoglu, G., Chassignet, E. P., England, M. H., Gerdes, R., Haak, H., Hallberg, R. W., Hazeleger, W., Jungclaus, J., Large, W. G., Madec, G., Pirani, A., Samuels, B. L., Scheinert, M., Sen Gupta, A., Severijns, C. A., Simmons, H. L., Treguier, A.-M., Winton, M., Yeager, S., and Yin, J.: Coordinated ocean-ice reference experiments, Ocean Model., 26, 1–46, 2008.; Haller, G. and Yuan, G.: Lagrangian coherent structures and mixing in two-dimensional turbulence, Physica D, 147, 352–370, 2000.; Hoppema, M.: Weddell Sea is a globally significant contributor to deep-sea sequestration of natural carbon dioxide, Deep-Sea Res. Pt. I, 51, 1169–1177, 2004.; Khatiwala, S.: A


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