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Helical Turbulence in Fluids and MHD

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Direct and Large-Eddy Simulation IX

Part of the book series: ERCOFTAC Series ((ERCO,volume 20))

Abstract

Perhaps because turbulence is central to a variety of applications for atmospheric and oceanic flows, as well as engineering, and yet remains largely unsolved, high-performance computing plays a central role, on par with observations and experiments, for progressing in our detailed understanding of such flows.

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References

  1. Levina, G., Montgomery, M.: A first examination of the helical nature of tropical cyclogenesis. Dokl. Earth Sci. 434, 1285–1289 (2010)

    Article  Google Scholar 

  2. Newell, A.C., Zakharov, V.E.: The role of the generalized Phillips spectrum in wave turbulence. Phys. Lett. A 372, 4230–4233 (2008)

    Article  MATH  Google Scholar 

  3. Lenschow, D.H., Lothon, M., Mayor, S., Sullivan, P.P., Canut, G.: A comparison of higher-order vertical velocity moments in the convective boundary layer from lidar with in situ measurements and large-eddy simulation. Bound. Layer Meteor. 143, 107–123 (2012)

    Article  Google Scholar 

  4. Rorai, C., Mininni, P.D. and Pouquet, A.: Turbulence comes in bursts in stably stratified flows. Phys. Rev. E to appear. arXiv:1308:6564 (2014)

  5. Marino, R., Sorriso-Valvo, L., Carbone, V., Veltri, P., Noullez, A., Bruno, R.: The magnetohydrodynamic turbulent cascade in the ecliptic solar wind: study of Ulysses data. Planet. Space Sci. 59, 592–597 (2011)

    Article  Google Scholar 

  6. Marino, R., Sorriso-Valvo, L., D’Amicis, R., Carbone, V., Bruno, R., Veltri, P.: On the occurrence of the third-order scaling in high latitude solar wind. Astrophys. J. 750, 41 (2012)

    Article  Google Scholar 

  7. Moffatt, H.K., Tsinober, E.: Helicity in laminar and turbulent flow. Annu. Rev. Fluid Mech. 24, 281–312 (1992)

    Article  MathSciNet  Google Scholar 

  8. Koprov, B.M., Koprov, V.M., Ponomarev, V.M., Chkhetiani, O.G.: Experimental studies of turbulent helicity and its spectrum in the atmospheric boundary layer. Dokl. Phys. 50, 419–422 (2005)

    Article  Google Scholar 

  9. Marino, R., Mininni, P.D., Rosenberg, D., Pouquet, A.: Emergence of helicity in rotating stratified turbulence. Phys. Rev. E 87, 033016 (2013)

    Article  Google Scholar 

  10. Biferale, L., Musacchio, S., Toschi, F.: Inverse energy cascade in three-dimensional isotropic turbulence. Phys. Rev. Lett. 108, 164501 (2012)

    Article  Google Scholar 

  11. Mininni, P., Pouquet, A.: Rotating helical turbulence. Part I. Global evolution and spectral behavior. Phys. Fluids 22, 035105 (2010)

    Article  Google Scholar 

  12. Biferale, L., Titi, E.S.: On the global regularity of a helical-decimated version of the 3D Navier-Stokes equations. J. Stat. Phys. 151, 1089–1098 (2013)

    Google Scholar 

  13. Ricca, R.L.: Momenta of a vortex tangle by structural complexity analysis. Physica D 237, 2223–2227 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  14. Pouquet, A., Mininni, P.D.: The interplay between helicity and rotation in turbulence: implications for scaling laws and small-scale dynamics. Phil. Trans. Roy. Soc. 368, 1635–1662 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  15. Hide, R.: A note on helicity. Geophys. Astrophys. Fluid Dyn. 7, 157–161 (1976)

    Article  MATH  Google Scholar 

  16. Yokoi, N., Yoshizawa, A.: Statistical analysis of the effects of helicity in inhomogeneous turbulence. Phys. Fluids A5, 464–477 (1993)

    Article  MathSciNet  Google Scholar 

  17. Frisch, U., She, Z.S., Sulem, P.L.: Large-scale flow driven by the anisotropic kinetic alpha effect. Physica D 28, 382–392 (1987)

    Article  Google Scholar 

  18. Yokoi, N.: Cross helicity and related dynamo. Geo. Astro. Fluid Dyn. 107, 114–184 (2013)

    Article  MathSciNet  Google Scholar 

  19. Rorai, C., Rosenberg, D., Pouquet, A., Mininni, P.D.: Helicity dynamics in stratified turbulence in the absence of forcing. Phys. Rev. E 87, 063007 (2013)

    Article  Google Scholar 

  20. Teitelbaum, T., Mininni, P.D.: Effect of helicity and rotation on the free decay of turbulent flows. Phys. Rev. Lett. 103, 014501 (2009)

    Article  Google Scholar 

  21. Baerenzung, J., Politano, H., Ponty, Y., Pouquet, A.: Spectral modeling of turbulent flows and the role of helicity. Phys. Rev. E 77, 046303 (2008)

    Article  MathSciNet  Google Scholar 

  22. Baerenzung, J., Mininni, P., Pouquet, A., Rosenberg, D.: Spectral modeling of turbulent flows and the role of helicity in the presence of rotation. J. Atmos. Sci. 68, 2757–2770 (2011)

    Article  Google Scholar 

  23. Li, Y., Meneveau, C., Chen, S., Eyink, G.L.: Subgrid-scale modeling of helicity and energy dissipation in helical turbulence. Phys. Rev. E 74, 026310 (2006)

    Article  MathSciNet  Google Scholar 

  24. Li, Y.: Geometrical statistics and vortex structures in helical and nonhelical turbulences. Phys. Fluids 22, 035101 (2010)

    Article  Google Scholar 

  25. Brachet, M.-E., Bustamante, M., Krstulovic, G., Mininni, P.D., Pouquet, A., Rosenberg, D.: Ideal dynamics of three-dimensional MHD flows implementing the Taylor-Green symmetries. Phys. Rev. E 87, 013110 (2013)

    Article  Google Scholar 

  26. Mininni, P.D., Pouquet, A.: Finite dissipation and intermittency in MHD. Phys. Rev. E 80, 025401 (2009)

    Article  Google Scholar 

  27. Müller, W.C., Malapaka, S.K.: Role of helicities for the dynamics of turbulent magnetic fields. Geophys. Astrophys. Fluid Dyn. 107, 93–100 (2013)

    Article  MathSciNet  Google Scholar 

  28. Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D.: On the lack of universality in decaying magnetohydrodynamic turbulence. Phys. Rev. E 81, 016318 (2010)

    Article  Google Scholar 

  29. Mininni, P.D., Rosenberg, D., Reddy, R., Pouquet, A.: A hybrid MPI-OpenMP scheme for scalable parallel pseudospectral computations for fluid turbulence. Parallel Comput. 37, 316–326 (2011)

    Google Scholar 

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Acknowledgments

Color figures available upon request. Work supported by NSF/CMG-1025183, NCAR/ASD, NSF ASC090050 & TG-PHY100029, and DOE DE-AC05-00OR22725.

Author information

Authors and Affiliations

  1. NCAR, P.O. Box 3000, Boulder, USA

    R. Marino, A. Pouquet & J. Stawarz

  2. I.C. Dynamics of Complex System, 14476, Postdam, Germany

    J. Baerenzung

  3. Department FíSica, Ciencias Exactas Y Naturales, UBA, Buenos Aires, Argentina

    P. D. Mininni

  4. Nordita, Roslagstullsbacken 23, Stockholm, Sweden

    C. Rorai

  5. National Center for Computational Science, Oak Ridge National Laboratory, Oakridge, USA

    D. Rosenberg

Authors
  1. R. Marino
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  2. J. Baerenzung
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  3. P. D. Mininni
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  4. A. Pouquet
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  5. C. Rorai
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  6. D. Rosenberg
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  7. J. Stawarz
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Corresponding author

Correspondence to A. Pouquet .

Editor information

Editors and Affiliations

  1. Institut für Strömungsmechanik, Technische Universität Dresden, Dresden, Germany

    Jochen Fröhlich

  2. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Hans Kuerten

  3. Faculty EEMCS, Multiscale Modeling and Simulation, University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  4. Dipartimento di Ingegneria Civile ed Ambientale, Università di Trieste, Trieste, Italy

    Vincenzo Armenio

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Marino, R. et al. (2015). Helical Turbulence in Fluids and MHD. In: Fröhlich, J., Kuerten, H., Geurts, B., Armenio, V. (eds) Direct and Large-Eddy Simulation IX. ERCOFTAC Series, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-14448-1_70

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  • DOI: https://doi.org/10.1007/978-3-319-14448-1_70

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14447-4

  • Online ISBN: 978-3-319-14448-1

  • eBook Packages: EngineeringEngineering (R0)

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