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Computation of Equilibria Between Two Corotating Nonuniform Vortices

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Vortex Structure and Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 555))

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Abstract

Understanding decaying two-dimensional turbulence has important consequences for geophysics,meteorology and astrophysics. Various aspects appear in a recurrent way: from an initially unorganized two-dimensional flow, vorticity rapidly concentrates in localized regions called coherent structures and also in vorticity filaments. In this framework,the computation of a nonlinear equilibrium between the vortices and its stability becomes an essential ingredient. Focusing on vorticity patches,equilibria of two unequal-area vortices have been computed for instance by Dritschel[1]. However,v ortices of two-dimensional turbulence are not vorticity patches. Our purpose is thus to verify how previous results obtained in the context of uniform vorticity are modified when nonuniform vortex pairs are considered.

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References

  1. D. G. Dritschel, “A general theory for two-dimensional vortex interactions,” J. Fluid Mech. 293, 269 (1995).

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  2. U. Ehrenstein, M. Rossi,“Equilibria of corotating nonuniform vortices,” Phys. Fluids 11, 3416 (1999).

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  3. J. Jimenez, H. K. Moffat, C. Vasco, “The structure of the vortices in freely decaying two-dimensional turbulence,” J. Fluid Mech. 313, 209 (1996).

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  4. P. G. Saffman, Vortex Dynamics (Cambridge University Press, 1992).

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Author information

Authors and Affiliations

  1. Laboratoire J.-A. Dieudonné, Université Nice-Sophia Antipolis, Parc Valrose, F-06108, Nice, Cedex, France

    Uwe Ehrenstein

  2. Laboratoire de Modélisation en Mécanique, Université de Paris, VI, 4, Place Jussieu, F-75252, Paris Cedex 05, France

    Maurice Rossi

Authors
  1. Uwe Ehrenstein
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  2. Maurice Rossi
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Editor information

Editors and Affiliations

  1. Laboratioire Onde et Acoustique, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75005, Paris, France

    Agnès Maurel

  2. Laboratoire de Physiqueet Mécanique des Millieux Hétérogènes, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75005, Paris, France

    Philippe Petitjeans

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© 2000 Springer-Verlag Berlin Heidelberg

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Ehrenstein, U., Rossi, M. (2000). Computation of Equilibria Between Two Corotating Nonuniform Vortices. In: Maurel, A., Petitjeans, P. (eds) Vortex Structure and Dynamics. Lecture Notes in Physics, vol 555. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44535-8_7

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  • DOI: https://doi.org/10.1007/3-540-44535-8_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67920-2

  • Online ISBN: 978-3-540-44535-7

  • eBook Packages: Springer Book Archive

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