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Abstract:

We study the intermittency properties of the energy and helicity cascades in two 15363 direct numerical simulations of helical rotating turbulence. Symmetric and antisymmetric velocity increments are examinedas well as probability density functions of the velocity field and of the helicity density. It is found that the direct cascade of energy to small scales is scale invariant and nonintermittentwhereas the direct cascade of helicity is highly intermittent. Furthermorethe study of structure functions of different orders allows us to identify a recovery of isotropy of strong events at very small scales in the flow. Finallywe observe the juxtaposition in space of strong laminar and persistent helical columns next to time-varying vortex tanglesthe former being associated with the self-similarity of energy and the latter with the intermittency of helicity. © 2010 American Institute of Physics.

Registro:

Documento: Artículo
Título:Rotating helical turbulence. II. Intermittencyscale invarianceand structures
Autor:Mininni, P.D.; Pouquet, A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and CONICETCiudad Universitaria, 1428 Buenos Aires, Argentina
Computational and Information Systems Laboratory, NCAR, P.O. Box 3000, Boulder CO 80307-3000, United States
Earth and Sun Systems Laboratory, NCAR, P.O. Box 3000, Boulder CO 80307-3000, United States
Palabras clave:Anti-symmetric; Different order; Helical turbulence; Helicities; Helicity cascades; Intermittency; Rotating turbulence; Scale invariant; Self-similarities; Small scale; Structure functions; Time-varying vortices; Velocity field; Velocity increments; Computer simulation; Rotation; Turbulence; Probability density function
Año:2010
Volumen:22
Número:3
Página de inicio:6
Página de fin:10
DOI: http://dx.doi.org/10.1063/1.3358471
Título revista:Physics of Fluids
Título revista abreviado:Phys. Fluids
ISSN:10706631
CODEN:PHFLE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10706631_v22_n3_p6_Mininni.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v22_n3_p6_Mininni

Referencias:

  • Frisch, U., (1995) Turbulence: The Legacy of A. N. Kolmogorov, , (Cambridge University PressCambridge)
  • Sreenivasan, K.R., Antonia, R.A., The phenomenology of small-scale turbulence (1997) Annu. Rev. Fluid Mech., 29, p. 435. , ARVFA30066-418910.1146/annurev.fluid.29.1.435
  • Sorriso-Valvo, L., Carbone, V., Veltri, P., Politano, H., Pouquet, A., Non-Gaussian probability distribution functions in two-dimensional magnetohydrodynamic turbulence (2000) Europhys. Lett., 51, p. 520. , EULEEJ0295-507510.1209/epl/i2000-00369-6
  • Mininni, P.D., Pouquet, A., Energy spectra stemming from interactions of Alfvén waves and turbulent eddies (2007) Phys. Rev. Lett., 99, p. 254502. , PRLTAO0031-900710.1103/PhysRevLett.99.254502
  • Bernard, D., Boffetta, G., Celani, A., Falkovich, G., Conformal invariance in two-dimensional turbulence (2006) Nat. Phys., 2, p. 124. , 1745-247310.1038/nphys217
  • Cambon, C., Jacquin, L., Spectral approach to non-isotropic turbulence subjected to rotation (1989) J. Fluid Mech., 202, p. 295. , JFLSA70022-112010.1017/S0022112089001199
  • Waleffe, F., Inertial transfers in the helical decomposition (1993) Phys. Fluids A, 5, p. 677. , PFADEB0899-821310.1063/1.858651
  • Smith, L.M., Lee, Y., On near resonances and symmetry breaking in forced rotating flows at moderate Rossby number (2005) J. Fluid Mech., 535, p. 111. , JFLSA70022-112010.1017/S0022112005004660
  • Seiwert, J., Morize, C., Moisy, F., On the decrease of intermittency in decaying rotating turbulence (2008) Phys. Fluids, 20, p. 071702. , PHFLE61070-663110.1063/1.2949313
  • Müller, W.-C., Thiele, M., Scaling and energy transfer in rotating turbulence (2007) Europhys. Lett., 77, p. 34003. , EULEEJ0295-507510.1209/0295-5075/77/34003
  • 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. , PHFLE61070-663110.1063/1.3064122
  • 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, p. 2091. , PHFLE61070-663110.1063/1.1577120
  • Hoyng, P., Helicity fluctuations in mean field theory: an explanation for the variability of the solar cycle? (1993) Astron. Astrophys., 272, p. 321. , AAEJAF0004-6361
  • Charbonneau, P., Multiperiodicitychaosand intermittency in a reduced model of the solar cycle (2001) Sol. Phys., 199, p. 385. , SLPHAX0038-093810.1023/A:1010387509792
  • Mininni, P.D., Gómez, D.O., A new technique for comparing solar dynamo models and observations (2004) Astron. Astrophys., 426, p. 1065. , AAEJAF0004-636110.1051/0004-6361:20040428
  • Kulkarni, J.R., Sadani, L.K., Murthy, B.S., Wavelet analysis of intermittent turbulent transport in the atmospheric surface layer over a monsoon trough region (1999) Boundary-Layer Meteorol., 90, p. 217. , BLMEBR0006-831410.1023/A:1001773312285
  • Mininni, P., Pouquet, A., Rotating helical turbulence. I. Global evolution and spectral behavior (2010) Phys. Fluids, 22, p. 035105. , PHFLE61070-663110.1063/1.3358466
  • Lilly, D.K., The structureenergeticsand propagation of rotating convective storms. Part II: Helicity and storm stabilization (1986) J. Atmos. Sci., 43, p. 126. , JAHSAK0022-492810.1175/1520-0469(1986)043<0126:TSEAPO>2.0.CO;2
  • Kerr, B.W., Darkow, G.L., Storm-relative winds and helicity in the tornadic thunderstorm environment (1996) Weather Forecast., 11, p. 489. , WEFOE30882-815610.1175/1520-0434(1996)011<0489:SRWAHI>2.0.CO;2
  • Markowski, P.M., Straka, J.M., Rasmussen, E.N., Blanchard, D.O., Variability of storm-relative helicity during VORTEX (1998) Mon. Weather Rev., 126, p. 2959. , MWREAB0027-064410.1175/1520-0493(1998)126<2959:VOSRHD>2.0.CO;2
  • Mininni, P.D., Pouquet, A., Helicity cascades in rotating turbulence (2009) Phys. Rev. E, 79, p. 026304. , PLEEE81063-651X10.1103/PhysRevE.79.026304
  • Akylas, E., Kassinos, S.C., Langer, C.A., Rapid shear of initially anisotropic turbulence in a rotating frame (2007) Phys. Fluids, 19, p. 025102. , PHFLE61070-663110.1063/1.2675939
  • Kolmogorov, A.N., Dissipation of energy in locally isotropic turbulence (1941) Dokl. Akad. Nauk SSSR, 32, p. 16. , DANKAS0002-3264
  • Chen, Q., Chen, S., Eyink, G.L., The joint cascade of energy and helicity in three-dimensional turbulence (2003) Phys. Fluids, 15, p. 361. , PHFLE61070-663110.1063/1.1533070
  • Chen, Q., Chen, S., Eyink, G.L., Holm, D.D., Intermittency in the joint cascade of energy and helicity (2003) Phys. Rev. Lett., 90, p. 214503. , PRLTAO0031-900710.1103/PhysRevLett.90.214503
  • Chkhetiani, O.G., On the third-moments in helical turbulence (1996) JETP Lett., 63, p. 808. , JTPLA20021-364010.1134/1.567095
  • Kurien, S., The reflection-antisymmetric counterpart of the Kármán-Howarth dynamical equation (2003) Physica D, 175, p. 167. , PDNPDT0167-278910.1016/S0167-2789(02)00695-4
  • Gomez, T., Politano, H., Pouquet, A., Exact relationship for third-order structure functions in helical flows (2000) Phys. Rev. E, 61, p. 5321. , PLEEE81063-651X10.1103/PhysRevE.61.5321
  • Tsinober, A., Kit, E., Dracos, T., Experimental investigation of the field of velocity gradients in turbulent flows (1992) J. Fluid Mech., 242, p. 169. , JFLSA70022-112010.1017/S0022112092002325
  • Jacquin, L., Leuchter, O., Cambon, C., Mathieu, J., Homogeneous turbulence in the presence of rotation (1990) J. Fluid Mech., 220, p. 1. , JFLSA70022-112010.1017/S0022112090003172
  • Morize, C., Moisy, F., Rabaud, M., Decaying grid-generated turbulence in a rotating tank (2005) Phys. Fluids, 17, p. 095105. , PHFLE61070-663110.1063/1.2046710
  • Staplehurst, P.J., Davidson, P.A., Dalziel, S.B., Structure formation in homogeneous freely decaying rotating turbulence (2008) J. Fluid Mech., 598, p. 81. , JFLSA70022-112010.1017/S0022112007000067
  • Smith, L.M., Waleffe, F., Transfer of energy to two-dimensional large scales in forcedrotating three-dimensional turbulence (1999) Phys. Fluids, 11, p. 1608. , PHFLE61070-663110.1063/1.870022
  • Cambon, C., Mansour, N.N., Godeferd, F.S., Energy transfer in rotating turbulence (1997) J. Fluid Mech., 337, p. 303. , JFLSA70022-112010.1017/S002211209700493X
  • Davidson, P.A., Staplehurst, P.J., Dalziel, S.B., On the evolution of eddies in a rapidly rotating system (2006) J. Fluid Mech., 557, p. 135. , JFLSA70022-112010.1017/S0022112006009827
  • Arad, I., Dhruva, B., Kurien, S., L'vov, V.S., Procaccia, I., Sreenivasan, K.R., Extraction of anisotropic contributions in turbulent flows (1998) Phys. Rev. Lett., 81, p. 5330. , PRLTAO0031-900710.1103/PhysRevLett.81.5330
  • Biferale, L., Procaccia, I., Anisotropy in turbulent flows and in turbulent transport (2005) Phys. Rep., 414, p. 43. , PRPLCM0370-157310.1016/j.physrep.2005.04.001
  • Taylor, M.A., Kurien, S., Eyink, G.L., Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th law (2003) Phys. Rev. E, 68, p. 026310. , PLEEE81063-651X10.1103/PhysRevE.68.026310
  • Dubrulle, B., Valdettaro, L., Consequences of rotation in energetics of accretion disks (1992) Astron. Astrophys., 263, p. 387. , AAEJAF0004-6361
  • Zeman, O., A note on the spectra and decay of rotating homogeneous turbulence (1994) Phys. Fluids, 6, p. 3221. , PHFLE61070-663110.1063/1.868053
  • Zhou, Y., A phenomenological treatment of rotating turbulence (1995) Phys. Fluids, 7, p. 2092. , PHFLE61070-663110.1063/1.868457
  • Gotoh, T., Fukayama, D., Nakano, T., Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation (2002) Phys. Fluids, 14, p. 1065. , PHFLE61070-663110.1063/1.1448296
  • Mininni, P.D., Alexakis, A., Pouquet, A., Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws (2008) Phys. Rev. E, 77, p. 036306. , PLEEE81063-651X10.1103/PhysRevE.77.036306
  • Aurell, E., Frisch, U., Noullez, A., Blank, M., Bifractality of the devil's staircase appearing in the Burgers equation with brownian initial velocity (1996) J. Stat. Phys., 88, p. 1151. , JSTPBS0022-471510.1007/BF02732429
  • Mitra, D., Bec, J., Pandit, R., Frisch, U., Is multiscaling an artifact in the stochastically forced Burgers equation? (2005) Phys. Rev. Lett., 94, p. 194501. , PRLTAO0031-900710.1103/PhysRevLett.94.194501

Citas:

---------- APA ----------
Mininni, P.D. & Pouquet, A. (2010) . Rotating helical turbulence. II. Intermittencyscale invarianceand structures. Physics of Fluids, 22(3), 6-10.
http://dx.doi.org/10.1063/1.3358471
---------- CHICAGO ----------
Mininni, P.D., Pouquet, A. "Rotating helical turbulence. II. Intermittencyscale invarianceand structures" . Physics of Fluids 22, no. 3 (2010) : 6-10.
http://dx.doi.org/10.1063/1.3358471
---------- MLA ----------
Mininni, P.D., Pouquet, A. "Rotating helical turbulence. II. Intermittencyscale invarianceand structures" . Physics of Fluids, vol. 22, no. 3, 2010, pp. 6-10.
http://dx.doi.org/10.1063/1.3358471
---------- VANCOUVER ----------
Mininni, P.D., Pouquet, A. Rotating helical turbulence. II. Intermittencyscale invarianceand structures. Phys. Fluids. 2010;22(3):6-10.
http://dx.doi.org/10.1063/1.3358471