Conferencia

Este artículo es de Acceso Abierto y puede ser descargado en su versión final desde nuestro repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We present numerical evidence on how three-dimensionalization is recovered at small scale in rotating turbulence with helical forcing provided by a Beltrami flow. The relevant ranges (large-scale inverse cascade of energy, anisotropic and isotropic direct cascades of energy and helicity, dissipative) are each moderately resolved. These results stem from large direct numerical simulations on grids of either 15363 or 30723 points. In the latter case, the scale at which the inertial wave time and the eddy turn-over time are equal is found to be more than one order of magnitude larger than the dissipation scale. We also examine how the presence of such an intermediate scale could affect truncation due to the use of a helical spectral Large Eddy Simulation procedure which can allow for extending the analysis to a wider range of parameters. Finally, the self-similarity of the direct cascade of energy to small scales for rotating flows, observed recently in numerical simulations as well as in several laboratory experiments, will be discussed briefly for its scaling properties and its conformal invariance.

Registro:

Documento: Conferencia
Título:Rotating helical turbulence: Three-dimensionalization or self-similarity in the small scales?
Autor:Pouquet, A.; Baerenzung, J.; Mininni, P.D.; Rosenberg, D.; Thalabard, S.
Ciudad:Warsaw
Filiación:Computational and Information Systems Laboratory, NCAR, Boulder, CO, United States
Interdisciplinary Center for Dynamics of Complex System, Postdam, Germany
Departamento de Física, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
CEA, F-91191 Gif sur Yvette Cedex, Saclay, France
Palabras clave:Large eddy simulation; Numerical models; Conformal invariance; Dimensionalization; Helical turbulence; Laboratory experiments; Numerical evidence; Rotating turbulence; Scaling properties; Self-similarities; Turbulence
Año:2011
Volumen:318
Número:SECTION 4
DOI: http://dx.doi.org/10.1088/1742-6596/318/4/042015
Título revista:13th European Turbulence Conference, ETC13
Título revista abreviado:J. Phys. Conf. Ser.
ISSN:17426588
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_17426588_v318_nSECTION4_p_Pouquet.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v318_nSECTION4_p_Pouquet

Referencias:

  • Baerenzung, J., Mininni, P.D., Pouquet, A., Rosenberg, D., Spectral Modeling of Turbulent Flows and the Role of Helicity in the presence of rotation (2011) J. Atmos. Sci., , Online, April issue
  • Baroud, C.N., Plapp, B.B., Swinney, H.L., She, Z.-S., Scaling in three-dimensional and quasi-two-dimensional rotating turbulent flows (2003) Phys. Fluids, 15, pp. 2091-2104
  • Bellet, F., Godeferd, F.S., Scott, F.S., Cambon, C., Wave turbulence in rapidly rotating flows (2006) J. Fluid Mech., 562, pp. 83-121
  • Bernard, D., Boffetta, G., Celani, A., Falkovich, G., Conformal invariance in two-dimensional turbulence (2006) Nature Phys., 2, pp. 124-128
  • Van Bokhoven, L.J., Clercx, H.J.H., Van Heijst, G.J.F., Trieling, R.R., Experiments on rapidly rotating turbulent flows (2009) Phys. Fluids, 21, p. 096601
  • Bourouiba, L., Bartello, P., The intermediate Rossby number range and two-dimensional-three- dimensional transfers in rotating decaying homogeneous turbulence (2007) J. Fluid Mech., 587, pp. 139-161
  • Cambon, C., Jacquin, L., Spectral approach to non-isotropic turbulence subjected to rotation (1989) J. Fluid Mech., 202, pp. 295-317
  • Cambon, C., Scott, J.F., Linear and nonlinear models of anisotropic turbulence (1999) Ann. Rev. Fluid Mech., 31, pp. 1-53
  • Cambon, C., Rubinstein, R., Godeferd, F.S., Advances in wave turbulence: Rapidly rotating flows (2004) New J. Phys., 6, pp. 73+29
  • Cardy, J.L., SLE for theoretical physicists (2005) Annals Phys., 318, pp. 81-118
  • Clyne, J., Mininni, P.D., Norton, A., Rast, M., Interactive desktop analysis of high resolution simulations: Application to turbulent plume dynamics and current sheet formation (2005) New J. Phys., 9, p. 14
  • Dubrulle, B., Valdetarro, L., Advances in wave turbulence: Rapidly rotating flows Advances in wave turbulence: Rapidly rotating flows (1992) Astronom. Astrophys., 263, pp. 387-400
  • Gruzberg, I.A., Kadanoff, L.P., The Loëwner equation: Maps and shapes (2004) J. Stat. Phys., 114, pp. 1183-1198
  • Koprov, B., Koprov, V., Ponomarev, V., Chkhetiani, O., Experimental Studies of Turbulent Helicity and Its Spectrum in the Atmospheric Boundary Layer (2005) Doklady Physics, 50, pp. 419-422
  • (2005) Doklady Akademii Nauk, 403, pp. 627-630. , Translated from
  • Lilly, D., The Structure, Energetics and Propagation of Rotating Convective Storms. Part II: Helicity and Storm Stabilization (1986) J. Atmos. Sci., 43, pp. 126-140
  • Mininni, P.D., Alexakis, A., Pouquet, A., Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers (2009) Phys. Fluids, 21, p. 015108
  • Mininni, P.D., Pouquet, A., Helicity cascades in rotating turbulence (2009) Phys. Rev. E, 79, p. 026304
  • Mininni, P.D., Pouquet, A., Rotating helical turbulence. Part I. Global evolution and spectral behavior (2010) Phys. Fluids, 22, p. 035105
  • Mininni, P.D., Pouquet, A., Rotating helical turbulence. Part II. Intermittency, scale invariance and structures (2010) Phys. Fluids, 22, p. 035106
  • Mininni, P.D., Rosenberg, D., Reddy, R., Pouquet, A., A hybrid MPI-OpenMP scheme for scalable parallel pseudospectral computations for fluid turbulence (2011) Parallel Computing, 37, pp. 316-326
  • Mininni, P.D., Rosenberg, D., Pouquet, A., Two small-scale inertial ranges in rotating helical turbulence and the return to isotropy (2011) J. Fluid Mech., , submitted to see also arXiv:1104.5519
  • Moffatt, H.K., Tsinober, A., Helicity in laminar and turbulent flow (1992) Ann. Rev. Fluid Mech., 24, pp. 281-312
  • Podvigina, O., Pouquet, A., On the Nonlinear Stability of the 1:1:1 ABC Flow (1994) Physica D, 75, pp. 475-508
  • Seiwert, J., Morize, C., Moisy, F., On the decrease of intermittency in decaying rotating turbulence (2008) Phys. Fluids, 20, p. 071702
  • Smith, L., Chasnov, R., Waleffe, F., Crossover from Two- to Three-Dimensional Turbulence (1996) Phys. Rev. Lett., 77, pp. 2467-2470
  • Thalabard, S., Rosenberg, D., Pouquet, A., Mininni, P.D., Conformal invariance in three-dimensional rotating turbulence (2011) Phys. Rev. Lett., 106, p. 204503
  • Xu, Y., Wu, R., The conservation of helicity in Hurricane Andrew (1992) and the formation of the spiral rainband (2003) Adv. Atmosph. Sci., 20, pp. 940-950
  • Zeman, O., A note on the spectra and decay of rotating homogeneous turbulence (1994) Phys. Fluids, 6, pp. 3221-3223
  • Zhou, Y., A Phenomenological Treatment of Rotating Turbulence (1995) Phys. Fluids, 7, pp. 2092-2094A4 - et al.; European Community on Flow Turbulence and Combustion (ERCOFTAC); European Mechanics Society; Universitas Varsoviensis; University of Warsaw - Faculty of Physics; University of Warsaw Foundation

Citas:

---------- APA ----------
Pouquet, A., Baerenzung, J., Mininni, P.D., Rosenberg, D. & Thalabard, S. (2011) . Rotating helical turbulence: Three-dimensionalization or self-similarity in the small scales?. 13th European Turbulence Conference, ETC13, 318(SECTION 4).
http://dx.doi.org/10.1088/1742-6596/318/4/042015
---------- CHICAGO ----------
Pouquet, A., Baerenzung, J., Mininni, P.D., Rosenberg, D., Thalabard, S. "Rotating helical turbulence: Three-dimensionalization or self-similarity in the small scales?" . 13th European Turbulence Conference, ETC13 318, no. SECTION 4 (2011).
http://dx.doi.org/10.1088/1742-6596/318/4/042015
---------- MLA ----------
Pouquet, A., Baerenzung, J., Mininni, P.D., Rosenberg, D., Thalabard, S. "Rotating helical turbulence: Three-dimensionalization or self-similarity in the small scales?" . 13th European Turbulence Conference, ETC13, vol. 318, no. SECTION 4, 2011.
http://dx.doi.org/10.1088/1742-6596/318/4/042015
---------- VANCOUVER ----------
Pouquet, A., Baerenzung, J., Mininni, P.D., Rosenberg, D., Thalabard, S. Rotating helical turbulence: Three-dimensionalization or self-similarity in the small scales?. J. Phys. Conf. Ser. 2011;318(SECTION 4).
http://dx.doi.org/10.1088/1742-6596/318/4/042015