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On variational principles for coherent vortex structures

  • Chapter VI: Coherent Structures
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Abstract

Different approaches are discussed of variational principles characterizing coherent vortex structures in two-dimensional flows. Turbulent flows seem to form ordered structures in the large scales of the motion and the self-organization principle predicts asymptotic states realizing an extremal value of the energy or a minimum of enstrophy. On the other hand the small scales take care of the increase of entropy, and asymptotic results can be obtained by applying the theory of equilibrium statistical mechanics.

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References

  1. Arnold, V.I.: 1966,J. Mec.,5, 29.

    Google Scholar 

  2. Benjamin, T.B.: 1984,IMA J. Appl. Math.,32, 3.

    Google Scholar 

  3. Carnevale, G.F. and Vallis, G.K.: 1990,J. Fluid Mech.,213, 549.

    Google Scholar 

  4. Fliert, van de, B.W. and Groesen, van, E.: 1992,Nonlinearity,5, 473.

    Google Scholar 

  5. Groesen, van, E.: 1987,Phys. A,148, 312.

    Google Scholar 

  6. Groesen, van, E.: 1989,Contemp. Math.,99, 259.

    Google Scholar 

  7. Hasegawa, A.: 1985,Adv. Physics,34, 1.

    Google Scholar 

  8. Leith, C.E.: 1984,Phys. Fluids,27, 1388.

    Google Scholar 

  9. Miller, J.: 1990,Phys. Rev. Letters,65, 2137.

    Google Scholar 

  10. Robert, R.: 1990,C.R. Acad. Sci. Paris,311, 155.

    Google Scholar 

  11. Robert, R. and Sommeria, J.: 1991,J. Fluid Mech.,229, 291.

    Google Scholar 

  12. Shepherd, T.G.: 1990,J. Fluid Mech.

  13. Turkington, B.: 1983,Comm. Part. Diff. Eq.,8, 999.

    Google Scholar 

  14. Vallis, G.K. and Carnevale, G.F. and Young, W.R.: 1989,J. Fluid Mech.,207, 133.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Dept. of Appl. Math., University of Twente, The Netherlands

    B. W. Van de Fliert & E. Van Groesen

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  1. B. W. Van de Fliert
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  2. E. Van Groesen
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Van de Fliert, B.W., Van Groesen, E. On variational principles for coherent vortex structures. Appl. Sci. Res. 51, 399–403 (1993). https://doi.org/10.1007/BF01082567

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  • DOI: https://doi.org/10.1007/BF01082567

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