Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 20483 regularly spaced points, with a Taylor Reynolds number of Rλ ∼1300. The forcing is given by the Taylor-Green vortex, which shares similarities with the von Kàrmàn flow used in several laboratory experiments; the computation is run for ten turnover times in the turbulent steady state. At this Reynolds number the anisotropic large scale flow pattern, the inertial range, the bottleneck, and the dissipative range are clearly visible, thus providing a good test case for the study of turbulence as it appears in nature. Triadic interactions, the locality of energy fluxes, and longitudinal structure functions of the velocity increments are computed. A comparison with runs at lower Reynolds numbers is performed and shows the emergence of scaling laws for the relative amplitude of local and nonlocal interactions in spectral space. Furthermore, the scaling of the Kolmogorov constant, and of skewness and flatness of velocity increments is consistent with previous experimental results. The accumulation of energy in the small scales associated with the bottleneck seems to occur on a span of wave numbers that is independent of the Reynolds number, possibly ruling out an inertial range explanation for it. Finally, intermittency exponents seem to depart from standard models at high Rλ, leaving the interpretation of intermittency an open problem. © 2008 The American Physical Society.

Registro:

Documento: Artículo
Título:Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws
Autor:Mininni, P.D.; Alexakis, A.; Pouquet, A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
NCAR, P.O. Box 3000, Boulder, CO 80307-3000, United States
Laboratoire Cassiopée, Observatoire de la Côte d'Azur, Boîte Postale 4229, Nice Cedex 04, France
Palabras clave:Hydrodynamics; Reynolds number; Scaling laws; Steady flow; Turbulence models; Vortex flow; Hydrodynamic turbulence; Nonlocal interactions; Taylor-Green vortex; Turbulent steady state; Flow interactions
Año:2008
Volumen:77
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.77.036306
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Mininni

Referencias:

  • Kaneda, Y., Ishihara, T., Yokokawa, M., Itakura, K., Uno, A., (2003) Phys. Fluids, 15, p. 21. , 1070-6631
  • Haugen, N.E.L., Brandenburg, A., (2006) Phys. Fluids, 18, p. 075106. , 1070-6631
  • Gotoh, T., Fukayama, D., Nakano, T., (2002) Phys. Fluids, 14, p. 1065. , 1070-6631
  • Sreenivasan, K.R., Antonia, R.A., (1997) Annu. Rev. Fluid Mech., 29, p. 435. , 0066-4189
  • Shen, X., Warhaft, Z., (2000) Phys. Fluids, 12, p. 2976. , 1070-6631
  • Pope, S.B., (2000) Turbulent Flows, , Cambridge University Press, Cambridge, England
  • Kurien, S., Sreenivasan, K.R., (2000) Phys. Rev. e, 62, p. 2206. , PLEEE8 1063-651X 10.1103/PhysRevE.62.2206
  • Biferale, L., Toschi, F., (2001) Phys. Rev. Lett., 86, p. 4831. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.4831
  • Biferale, L., Daumont, I., Lanotte, A., Toschi, F., (2002) Phys. Rev. e, 66, p. 056306. , PLEEE8 1063-651X 10.1103/PhysRevE.66.056306
  • Mininni, P.D., Alexakis, A., Pouquet, A., (2006) Phys. Rev. e, 74, p. 016303. , PLEEE8 1063-651X 10.1103/PhysRevE.74.016303
  • Bernard, D., Boffetta, G., Celani, A., Falkovich, G., (2006) Nat. Phys., 2, p. 124
  • Biferale, L., Cencini, M., Lanotte, A.S., Sbragaglia, M., Toschi, F., (2004) New J. Phys., 6, p. 37. , NJOPFM 1367-2630 10.1088/1367-2630/6/1/037
  • Falkovich, G., Gawdzki, K., Vergassola, M., (2001) Rev. Mod. Phys., 73, p. 913. , RMPHAT 0034-6861 10.1103/RevModPhys.73.913
  • Alexakis, A., Mininni, P.D., Pouquet, A., (2005) Phys. Rev. Lett., 95, p. 264503. , PRLTAO 0031-9007 10.1103/PhysRevLett.95.264503
  • Laval, J.-P., Dubrulle, B., Nazarenko, S., (2001) Phys. Fluids, 13, p. 1995. , 1070-6631
  • Domaradzki, J.A., Rogallo, R.S., (1990) Phys. Fluids, 2, p. 413. , 1070-6631
  • Zhou, Y., (1993) Phys. Fluids A, 5, p. 2511. , PFADEB 0899-8213 10.1063/1.858764
  • Yeung, P.K., Brasseur, J., Wang, Q., (1995) J. Fluid Mech., 283, p. 43. , JFLSA7 0022-1120 10.1017/S0022112095002230
  • Poulain, C., Mazellier, N., Chevillard, L., Gagne, Y., Baudet, C., (2006) Eur. Phys. J. B, 53, p. 219. , EPJBFY 1434-6028 10.1140/epjb/e2006-00354-y
  • Domaradzki, J.A., (1988) Phys. Fluids, 31, p. 2747. , PFLDAS 0031-9171 10.1063/1.866980
  • Kerr, R.M., (1990) J. Fluid Mech., 211, p. 309. , JFLSA7 0022-1120 10.1017/S0022112090001586
  • Yeung, P.K., Brasseur, J.G., (1991) Phys. Fluids A, 3, p. 884. , PFADEB 0899-8213 10.1063/1.857966
  • Ohkitani, K., Kida, S., (1992) Phys. Fluids A, 4, p. 794. , PFADEB 0899-8213 10.1063/1.858296
  • Zhou, Y., (1993) Phys. Fluids A, 5, p. 2511. , PFADEB 0899-8213 10.1063/1.858764
  • Brasseur, J.G., Wei, C.H., (1994) Phys. Fluids, 6, p. 842. , PHFLE6 1070-6631 10.1063/1.868322
  • Zhou, Y., Yeung, P.K., Brasseur, J.G., (1996) Phys. Rev. e, 53, p. 1261. , PLEEE8 1063-651X 10.1103/PhysRevE.53.1261
  • Kishida, K., Araki, K., Kishiba, S., Suzuki, K., (1999) Phys. Rev. Lett., 83, p. 5487. , PRLTAO 0031-9007 10.1103/PhysRevLett.83.5487
  • Carlier, J., Laval, J.P., Stanislas, M., (2001) Compt. Rend. l'Académ. Sci., Ser. II, 329, p. 35
  • Verma, M.K., Ayyer, A., Debliquy, O., Kumar, S., Chandra, A.V., Pramana, J., (2005) Physica, 65, p. 297. , 0031-8914
  • Frisch, U., (1995) Turbulence: The Legacy of A.N. Kolmogorov, , Cambridge University Press, Cambridge, England
  • Taylor, G.I., Green, A.E., (1937) Proc. R. Soc. London, Ser. A, 158, p. 499
  • Herring, J.R., Schertzer, D., Lesieur, M., Newman, G.R., Chollet, J.P., Larcheveque, M., (1982) J. Fluid Mech., 124, p. 411. , JFLSA7 0022-1120 10.1017/S0022112082002560
  • Falkovich, G., (1994) Phys. Fluids, 6, p. 1411. , PHFLE6 1070-6631 10.1063/1.868255
  • Lohse, D., Müller-Groeling, A., (1995) Phys. Rev. Lett., 74, p. 1747. , PRLTAO 0031-9007 10.1103/PhysRevLett.74.1747
  • Martínez, D.O., Chen, S., Doolen, G.D., Kraichnan, R.H., Wang, L.-P., Zhou, Y., (1997) J. Plasma Phys., 57, p. 195. , JPLPBZ 0022-3778 10.1017/S0022377896005338
  • Kurien, S., Taylor, M.A., Matsumoto, T., (2004) Phys. Rev. e, 69, p. 066313. , PLEEE8 1063-651X 10.1103/PhysRevE.69.066313
  • Kraichnan, R.H., (1971) J. Fluid Mech., 47, p. 525. , JFLSA7 0022-1120 10.1017/S0022112071001216
  • Lesieur, M., (1997) Turbulence in Fluids, , Kluwer, Dordrecht
  • Alexakis, A., Mininni, P.D., Pouquet, A., (2005) Phys. Rev. e, 72, p. 046301. , PLEEE8 1063-651X 10.1103/PhysRevE.72.046301
  • Verma, M., (2004) Phys. Rep., 401, p. 229. , PRPLCM 0370-1573 10.1016/j.physrep.2004.07.007
  • Ohkitani, K., Kida, S., (1992) Phys. Fluids A, 4, p. 794. , PFADEB 0899-8213 10.1063/1.858296
  • Tsuji, Y., (2004) Phys. Fluids, 16, p. 43. , 1070-6631
  • Ishihara, T., Kaneda, Y., Yokokawa, M., Itakura, K., Uno, A., (2005) J. Phys. Soc. Jpn., 74, p. 1464. , 0031-9015
  • Kaneda, Y., Ishihara, T., (2006) J. Turbul., 7, p. 20. , ZZZZZZ 1468-5248 10.1080/14685240500256099
  • Van Atta, C.W., Antonia, R.A., (1980) Phys. Fluids, 23, p. 252. , PFLDAS 0031-9171 10.1063/1.862965
  • Praskovsky, A., Oncley, S., (1994) Phys. Fluids, 6, p. 2886. , PHFLE6 1070-6631 10.1063/1.868435
  • Mydlarski, L., Warhaft, Z., (1996) J. Fluid Mech., 320, p. 331. , JFLSA7 0022-1120 10.1017/S0022112096007562
  • Kolmogorov, A.N., (1962) J. Fluid Mech., 13, p. 82. , JFLSA7 0022-1120 10.1017/S0022112062000518
  • Oboukhov, A.M., (1962) J. Fluid Mech., 13, p. 77. , JFLSA7 0022-1120 10.1017/S0022112062000506
  • Nelkin, M., (1990) Phys. Rev. A, 42, p. 7226. , PLRAAN 1050-2947 10.1103/PhysRevA.42.7226
  • Benzi, R., Ciliberto, S., Baudet, C., Chavarria, G.R., Tripiccione, R., (1993) Europhys. Lett., 24, p. 275. , EULEEJ 0295-5075 10.1209/0295-5075/24/4/007
  • Benzi, R., Ciliberto, S., Tripiccione, R., Baudet, C., Massaioli, F., Succi, S., (1993) Phys. Rev. e, 48, p. 29. , PLEEE8 1063-651X 10.1103/PhysRevE.48.R29
  • She, Z.S., Lévêque, E., (1994) Phys. Rev. Lett., 72, p. 336. , PRLTAO 0031-9007 10.1103/PhysRevLett.72.336
  • Porter, D.H., Woodward, P.R., Pouquet, A., (1998) Phys. Fluids, 10, p. 237. , 1070-6631
  • Moisy, F., Jiménez, J., (2004) J. Fluid Mech., 513, p. 111. , JFLSA7 0022-1120 10.1017/S0022112004009802
  • Clyne, J., Mininni, P., Norton, A., Rast, M., (2007) New J. Phys., 9, p. 301. , NJOPFM 1367-2630 10.1088/1367-2630/9/8/301

Citas:

---------- APA ----------
Mininni, P.D., Alexakis, A. & Pouquet, A. (2008) . Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77(3).
http://dx.doi.org/10.1103/PhysRevE.77.036306
---------- CHICAGO ----------
Mininni, P.D., Alexakis, A., Pouquet, A. "Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 77, no. 3 (2008).
http://dx.doi.org/10.1103/PhysRevE.77.036306
---------- MLA ----------
Mininni, P.D., Alexakis, A., Pouquet, A. "Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 77, no. 3, 2008.
http://dx.doi.org/10.1103/PhysRevE.77.036306
---------- VANCOUVER ----------
Mininni, P.D., Alexakis, A., Pouquet, A. Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2008;77(3).
http://dx.doi.org/10.1103/PhysRevE.77.036306