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Analyzing Fluid Flows via the Ergodicity Defect

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Excursions in Harmonic Analysis, Volume 3

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

The ergodicity defect, a relatively new approach for analyzing fluid flows, is presented. The technique combines tools and concepts from ergodic theory and wavelet theory, and we briefly consider this theoretical background. The ergodicity defect provides a measure of the complexity of individual fluid particle trajectories and this measurement is used to identify Lagrangian coherent structures in the flow. Results for both idealized and realistic ocean flows are compared and contrasted with other methods for identifying coherent structures. Other possible applications for the technique are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, Marquette University, P.O. Box 1881, 53201-1881, Milwaukee, WI, USA

    Sherry E. Scott

Authors
  1. Sherry E. Scott
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Correspondence to Sherry E. Scott .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    Radu Balan

  2. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    Matthew J. Begué

  3. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    John J. Benedetto

  4. Department of Mathematics, University of Maryland, Norbert Weiner Center, College Park, Maryland, USA

    Wojciech Czaja

  5. Department of Mathematics, University of Maryland, Norbert Wiener Center, College Park, Maryland, USA

    Kasso A. Okoudjou

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Scott, S. (2015). Analyzing Fluid Flows via the Ergodicity Defect. In: Balan, R., Begué, M., Benedetto, J., Czaja, W., Okoudjou, K. (eds) Excursions in Harmonic Analysis, Volume 3. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-13230-3_6

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