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Abstract:

We first summarize briefly several properties concerning the dynamics of two-dimensional (2D) turbulence, with an emphasis on the inverse cascade of energy to the largest accessible scale of the system. In order to study a similar phenomenon in 3D turbulence undergoing strong solid-body rotation, we test a previously developed large eddy simulation (LES) model against a high-resolution direct numerical simulation of rotating turbulence on a grid of 30723 points. We then describe new numerical results on the inverse energy cascade in rotating flows using this LES model and contrast the case of 2D versus 3D forcing, as well as non-helical forcing (i.e. with weak overall alignment between velocity and vorticity) versus the fully helical Beltrami case, for both deterministic and random forcing. The different scaling laws for the inverse energy cascade can be attributed to the dimensionality of the forcing, with either a k-3⊥ or a k -5/3⊥ energy spectrum of slow modes at large scales, k⊥ referring to a direction perpendicular to that of rotation. We finally invoke the role of shear in the case of a strongly anisotropic deterministic forcing, using the so-called ABC flow; in that case, a k -5/3⊥ is again observed for the slow modes, together with a k-1 spectrum for the total energy associated with enhanced shear at a large scale [92]. © 2013 The Royal Swedish Academy of Sciences.

Registro:

Documento: Artículo
Título:Inverse cascades in turbulence and the case of rotating flows
Autor:Pouquet, A.; Sen, A.; Rosenberg, D.; Mininni, P.D.; Baerenzung, J.
Filiación:Computational and Information Systems Laboratory, NCAR, PO Box 3000, Boulder, CO 80307, United States
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Interdisciplinary Center for Dynamics of Complex Systems, D-14476 Potsdam, Germany
Palabras clave:Energy spectra; High resolution; Inverse energy cascades; Numerical results; Rotating flow; Rotating turbulence; Solid-body rotation; Two-dimensional (2D) turbulence; Large eddy simulation; Rotational flow; Shear flow; Turbulence; Mixing; Shock tubes; Turbulent flow; Three dimensional
Año:2013
Volumen:88
Número:T155
DOI: http://dx.doi.org/10.1088/0031-8949/2013/T155/014032
Título revista:Physica Scripta
Título revista abreviado:Phys Scr
ISSN:00318949
CODEN:PHSTB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00318949_v88_nT155_p_Pouquet

Referencias:

  • Babin, A., Mahalov, A., Nicolaenko, B., (1996) Eur. J. Mech., 15, p. 291. , 0750-7240 B
  • Baerenzung, J., Rosenberg, D., Mininni, P.D., Pouquet, A., (2011) J. Atmos. Sci., 68 (11), p. 2757. , 10.1175/2010JAS3445.1 0022-4928
  • Batchelor, G.K., (1969) Phys. Fluids, 12 (12), p. 233. , 10.1063/1.1692443 0031-9171
  • Berhanu, M., (2007) Europhys. Lett., 77 (5). , 10.1209/0295-5075/77/59001 0295-5075 59001
  • Bellet, F., Godeferd, F.S., Scott, J.F., Cambon, C., Wave turbulence in rapidly rotating flows (2006) Journal of Fluid Mechanics, 562, pp. 83-121. , DOI 10.1017/S0022112006000929, PII S0022112006000929
  • Benzi, R., (2003) Phys. Rev., 68 (1). , 10.1103/PhysRevE.68.016308 1063-651X E 016308
  • Bernard, D., Boffetta, G., Celani, A., Falkovich, G., Conformal invariance in two-dimensional turbulence (2006) Nature Physics, 2 (2), pp. 124-128. , DOI 10.1038/nphys217, PII N217
  • Beta, C., Schneider, K., Farge, M., Wavelet filtering to study mixing in 2D isotropic turbulence (2003) Communications in Nonlinear Science and Numerical Simulation, 8 (3-4), pp. 537-545. , DOI 10.1016/S1007-5704(03)00030-3
  • Biferale, L., Musacchio, S., Toschi, F., (2012) Phys. Rev. Lett., 108 (16). , 10.1103/PhysRevLett.108.164501 0031-9007 164501
  • Biglari, H., Diamond, P.H., Terry, P.W., (1990) Phys. Fluids B, 2 (1), p. 1. , 10.1063/1.859529 0899-8221
  • Boffetta, G., Musacchio, A., (2010) Phys. Rev., 82 (1). , 10.1103/PhysRevE.82.016307 1539-3755 E 016307
  • Boffetta, G., De Lillo, F., Musacchio, S., (2011) Phys. Rev., 83 (6). , 10.1103/PhysRevE.83.066302 1539-3755 E 066302
  • Boffetta, G., Ecke, R., (2012) Annu. Rev. Fluid Mech., 44 (1), p. 427. , 10.1146/annurev-fluid-120710-101240 0066-4189
  • Borue, V., (1993) Phys. Rev. Lett., 71 (24), p. 3967. , 10.1103/PhysRevLett.71.3967 0031-9007
  • Borue, V., (1994) Phys. Rev. Lett., 72 (10), p. 1475. , 10.1103/PhysRevLett.72.1475 0031-9007
  • Bouchet, F., Simonnet, E., (2009) Phys. Rev. Lett., 102 (9). , 10.1103/PhysRevLett.102.094504 0031-9007 094504
  • Bourouiba, L., Straub, D.N., Waite, M.L., (2012) J. Fluid Mech., 690, p. 129. , 10.1017/jfm.2011.387 0022-1120
  • Bracco, A., McWilliams, J., (2010) J. Fluid Mech., 646, p. 517. , 10.1017/S0022112009993661 0022-1120
  • Bruneau, C.H., Kellay, H., Experiments and direct numerical simulations of two-dimensional turbulence (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 71 (4), pp. 046305/1-046305/5. , http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype= pdf&id=PLEEE8000071000004046305000001&idtype=cvips, DOI 10.1103/PhysRevE.71.046305, 046305
  • Carnevale, G.F., (1991) Phys. Rev. Lett., 66 (21), p. 2735. , 10.1103/PhysRevLett.66.2735 0031-9007
  • Cavaleri, L., Fox-Kemper, B., Hemer, M., Wind-waves in the coupled climate system (2012) Bull. Am. Met. Soc., 93 (11), p. 1651. , 10.1175/BAMS-D-11-00170.1 0003-0007
  • Celani, A., Musacchio, S., Vincenzi, D., (2010) Phys. Rev. Lett., 104 (18). , 10.1103/PhysRevLett.104.184506 0031-9007 184506
  • Cencini, M., Muratore-Ginanneschi, P., Vulpiani, A., (2011) Phys. Rev. Lett., 107 (17). , 10.1103/PhysRevLett.107.174502 0031-9007 174502
  • Chakraborty, S., (2007) Eur. Phys. Lett., 79 (1). , 10.1209/0295-5075/79/14002 0295-5075 14002
  • Chan, C.-K., Mitra, D., Brandenburg, A., (2012) Phys. Rev., 85 (3). , 10.1103/PhysRevE.85.036315 1539-3755 E 036315
  • Chavanis, P., Sommeria, J., (1996) J. Fluid Mech., 314 (1), p. 267. , 10.1017/S0022112096000316 0022-1120
  • Chen, Q., Chen, S., Eyink, G.L., The joint cascade of energy and helicity in three-dimensional turbulence (2003) Physics of Fluids, 15 (2), pp. 361-374. , DOI 10.1063/1.1533070
  • Chen, S.-Y., (2003) Phys. Rev. Lett., 91 (21). , 10.1103/PhysRevLett.91.214501 0031-9007 214501
  • Chen, S.-Y., (2006) Phys. Rev. Lett., 96 (8). , 10.1103/PhysRevLett.96.084502 0031-9007 084502
  • Chertkov, M., Kolokolov, I., Vergassola, M., (1998) Phys. Rev. Lett., 80 (3), p. 512. , 10.1103/PhysRevLett.80.512 0031-9007
  • Chertkov, M., Connaughton, C., Kolokolov, I., Lebedev, V., Dynamics of energy condensation in two-dimensional turbulence (2007) Physical Review Letters, 99 (8), p. 084501. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.99.084501&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.99.084501
  • Childress, S., Gilbert, A., (1995) Stretch, Twist, Fold: The Fast Dynamo
  • Colquhoun, J., Riley, P., (1996) Weather Forecast., 11 (3), p. 360. , 10.1175/1520-0434(1996)011<0360:RBTIAV>2.0.CO;2 0882-8156
  • Craya, A., Contribution à l'analyse de la Turbulence Associée à des Vitesses Moyennes (1958) Publ. Sci. Tech. Min. Air, 345
  • Danilov, S., Gurarie, D., (2001) Phys. Rev., 63 (6). , 10.1103/PhysRevE.63.061208 1063-651X E 061208
  • Dmitruk, P., Mininni, P.D., Pouquet, A., Servidio, S., Matthaeus, W.H., (2011) Phys. Rev., 83 (6). , 10.1103/PhysRevE.83.066318 1539-3755 E 066318
  • Dubrulle, B., Valdetarro, L., (1992) Astron. Astrophys., 263, p. 387. , 0004-6361
  • Elhmaidi, D., Von Hardenberg, J., Provenzale, A., Large scale dissipation and filament instability in two-dimensional turbulence (2005) Physical Review Letters, 95 (1), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:95, DOI 10.1103/PhysRevLett.95.014503, 014503
  • Eyink, G.L., Sreenivasan, K.R., Onsager and the theory of hydrodynamic turbulence (2006) Reviews of Modern Physics, 78 (1). , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: RevModPhys.78.87&metadataPrefix=oai_apsmeta_2, DOI 10.1103/RevModPhys.78.87
  • Fer, I., Scaling turbulent dissipation in an Arctic fjord (2006) Deep-Sea Research Part II: Topical Studies in Oceanography, 53 (1-2), pp. 77-95. , DOI 10.1016/j.dsr2.2006.01.003, PII S0967064506000087, Ocean Mixing
  • Fischer, P., Bruneau, C.-H., (2009) Phys. Fluids, 21 (6). , 10.1063/1.3153910 1070-6631 065109
  • Fox-Kemper, B., (2011) Ocean Model., 39 (1-2), p. 61. , 10.1016/j.ocemod.2010.09.002 1463-5003
  • Frisch, U., She, Z.S., Sulem, P.L., Large-scale flow driven by the anisotropic kinetic alpha effect (1987) Physica D: Nonlinear Phenomena, 28 D (3), pp. 382-392. , DOI 10.1016/0167-2789(87)90026-1
  • Gula, J., Zeitlin, V., (2010) J. Fluid. Mech., 659, p. 69. , 10.1017/S0022112010002405 0022-1120
  • Héas, P., (2012) Tellus, 64 (0), p. 10962. , 10.3402/tellusa.v64i0.10962 0280-6495 A
  • Herring, J., (1974) Phys. Fluids, 17 (5), p. 859. , 10.1063/1.1694822 0031-9171
  • Hide, G., (1976) Geophys. Fluid Dyn., 7 (1), p. 157. , 10.1080/03091927508242617 0016-7991
  • Holloway, G., (1986) Annu. Rev. Fluid Mech., 18 (1), p. 91. , 10.1146/annurev.fl.18.010186.000515 0066-4189
  • Hossain, M., Matthaeus, W., Montgomery, D., (1983) J. Plasma Phys., 30 (3), p. 479. , 10.1017/S0022377800001306 0022-3778
  • Ibragimov, R., Yilmazb, N., Bakhtiyarovb, A.S., (2011) Mech. Res. Commun., 38 (3), p. 261. , 10.1016/j.mechrescom.2011.02.002 0093-6413
  • Ivey, G.N., Winters, K.B., Koseff, J.R., Density stratification, turbulence, but how much mixing? (2008) Annual Review of Fluid Mechanics, 40, pp. 169-184. , DOI 10.1146/annurev.fluid.39.050905.110314
  • Julien, K., Statistical and physical balances in low Rossby number Rayleigh-Bénard convection (2012) Geophys. Astrophys. Fluid Dyn.
  • Jun, Y., Wu, X.L., Large-scale intermittency in two-dimensional driven turbulence (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72 (3), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRE:72, DOI 10.1103/PhysRevE.72.035302, 035302
  • Jun, Y., Zhang, J., Wu, X.-L., Polymer effects on small- and large-scale two-dimensional turbulence (2006) Physical Review Letters, 96 (2), p. 024502. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:96, DOI 10.1103/PhysRevLett.96.024502
  • Jung, S., Morrison, P., Swinney, H., (2006) J. Fluid Mech., 554 (1), p. 433. , 10.1017/S0022112006009001 0022-1120
  • Kraichnan, R.H., (1967) Phys. Fluids, 10 (7), p. 1417. , 10.1063/1.1762301 0031-9171
  • Kraichnan, R.H., (1971) J. Fluid Mech., 47 (3), p. 525. , 10.1017/S0022112071001216 0022-1120
  • Kraichnan, R.H., (1973) J. Fluid Mech., 59 (4), p. 745. , 10.1017/S0022112073001837 0022-1120
  • Kraichnan, R.H., (1976) J. Atmos. Sci., 33 (8), p. 1521. , 10.1175/1520-0469(1976)033<1521:EVITAT>2.0.CO;2 0022-4928
  • Kraichnan, R.H., Montgomery, D., (1980) Rep. Prog. Phys., 43 (5), p. 547. , 10.1088/0034-4885/43/5/001 0034-4885
  • Kritsuk, A.G., Norman, M.L., Padoan, P., Adaptive mesh refinement for supersonic molecular cloud turbulence (2006) Astrophysical Journal, 638 (1), pp. L25-L28. , DOI 10.1086/500688
  • Lamriben, C., Cortet, P.-P., Moisy, F., (2011) Phys. Rev. Lett., 107 (2). , 10.1103/PhysRevLett.107.024503 0031-9007 024503
  • Leith, C.E., (1968) Phys. Fluids, 11 (3), p. 671. , 10.1063/1.1691968 0031-9171
  • Lindborg, E., Brethouwer, G., (2008) J. Fluid Mech., 614, p. 303. , 10.1017/S0022112008003595 0022-1120
  • Levina, G., Montgomery, M., (2010) Dokl. Earth Sci., 434 (1), p. 1285. , 10.1134/S1028334X1009031X 1028-334X
  • Lindborg, E., Alvelius, K., (2000) Phys. Fluids, 12 (5), p. 945. , 10.1063/1.870379 1070-6631
  • Maassen, S.R., Clercx, H.J.H., Van Heijst, G.J.F., Self-organization of decaying quasi-two-dimensional turbulence in stratified fluid in rectangular containers (2003) Journal of Fluid Mechanics, 495, pp. 19-33. , DOI 10.1017/S0022112003006062
  • Maltrud, M.E., Vallis, G., (1991) J. Fluid Mech., 228, p. 321. , 0022-1120
  • Marino, R., Mininni, P.D., Rosenberg, D., Pouquet, A., Geostrophic balance and the emergence of helicity in rotating stratified turbulence (2012) Phys. Rev. Lett.
  • Matthaeus, W.H., Pouquet, A., Mininni, P.D., Dmitruk, P., Breech, B., Rapid alignment of velocity and magnetic field in magnetohydrodynamic turbulence (2008) Physical Review Letters, 100 (8), p. 085003. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.100.085003&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.100.085003
  • McWilliams, J.C., (1984) J. Fluid Mech., 146 (1), p. 21. , 10.1017/S0022112084001750 0022-1120
  • Mininni, P.D., Alexakis, A., Pouquet, A., (2009) Phys. Fluids, 21 (1). , 10.1063/1.3064122 1070-6631 015108
  • Mininni, P.D., Pouquet, A., (2010) Phys. Fluids, 22 (3). , 10.1063/1.3358466 1070-6631 035105
  • Mininni, P.D., Pouquet, A., (2010) Phys. Fluids, 22 (3). , 10.1063/1.3358471 1070-6631 035106
  • Mininni, P.D., Rosenberg, D., Pouquet, A., (2012) J. Fluid Mech., 699, p. 263. , 10.1017/jfm.2012.99 0022-1120
  • Mininni, P.D., Pouquet, A., Ergodicity and inverse cascades in freely decaying two-dimensional turbulence (2011) Phys. Rev., , 1063-651X E
  • Mishra, P.K., Verma, M.K., (2010) Phys. Rev., 81 (5). , 10.1103/PhysRevE.81.056316 1539-3755 E 056316
  • Moffatt, H.K., Tsinober, E., (1992) Annu. Rev. Fluid Mech., 24 (1), p. 281. , 10.1146/annurev.fl.24.010192.001433 0066-4189
  • Molinari, J., Vollaro, D., (2008) Mon. Weather Rev., 136 (11), p. 4355. , 10.1175/2008MWR2423.1 0027-0644
  • Montgomery, D.C., (1992) Phys. Fluids, 4 (1), p. 3. , 10.1063/1.858525 0899-8213 A
  • Nastrom, G.D., Gage, K.S., (1985) J. Atmos. Sci., 42 (9), p. 950. , 10.1175/1520-0469(1985)042<0950:ACOAWS>2.0.CO;2 0022-4928
  • Nazarenko, S., Laval, J.P., (2000) J. Fluid Mech., 408, p. 301. , 10.1017/S0022112099007922 0022-1120
  • Bell, T.L., Nelkin, M., (1977); Ngan, K., Straub, D.N., Bartello, P., Three-dimensionalization of freely-decaying two-dimensional turbulence (2004) Physics of Fluids, 16 (8), pp. 2918-2932. , DOI 10.1063/1.1763191
  • Onsager, L., (1949) Supplemento Al Vol VI, Series IX Del Nuovo-Cimento, 6 (S2), p. 279. , 10.1007/BF02780991 0029-6341
  • Paret, J., Tabeling, P., (1998) Phys. Fluids, 10 (12), p. 3126. , 10.1063/1.869840 1070-6631
  • Pasquero, C., Falkovich, G., Stationary spectrum of vorticity cascade in two-dimensional turbulence (2002) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65 (5), pp. 056305/1-056305/3. , http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype= pdf&id=PLEEE8000065000005056305000001&idtype=cvips, DOI 10.1103/PhysRevE.65.056305, 056305
  • Podvigina, O., Pouquet, A., (1994) Physica, 75 (4), p. 471. , 10.1016/0167-2789(94)00031-X 0167-2789 D
  • Pouquet, A., Frisch, U., Chollet, J.P., (1983) Phys. Fluids Lett., 26 (4), p. 877. , 10.1063/1.864228 0031-9171
  • Pouquet, A., Mininni, P.D., (2010) Phil. Trans. R. Soc., 368 (1916), p. 1635. , 10.1098/rsta.2009.0284 1364-503X
  • Schmeits, M.J., Dijkstraa, H.A., (2001) J. Phys. Oceanogr., 31 (12), p. 3435. , 10.1175/1520-0485(2001)031<3435:BBOTKA>2.0.CO;2 0022-3670
  • Schorghofer, N., (2001) Phys. Rev., 61 (6), p. 6572. , 10.1103/PhysRevE.61.6572 1063-651X E
  • Scott, R.K., Nonrobustness of the two-dimensional turbulent inverse cascade (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75 (4), p. 046301. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevE.75.046301&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevE.75.046301
  • Sen, A., Rosenberg, D., Pouquet, A., Mininni, P.D., Anisotropy and non-universality in scaling laws of the large scale energy spectrum in rotating turbulence (2012) Phys. Rev., , 1063-651X E
  • Servidio, S., Wan, M., Matthaeus, W.H., Carbone, V., (2010) Phys. Fluids, 22 (12). , 10.1063/1.3526760 1070-6631 125107
  • Shats, M.G., Xia, H., Punzmann, H., Falkovich, G., Suppression of turbulence by self-generated and imposed mean flows (2007) Physical Review Letters, 99 (16), p. 164502. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.99.164502&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.99.164502
  • Smith, L., Yakhotn, V., (1994) J. Fluid Mech., 274 (1), p. 115. , 10.1017/S0022112094002065 0022-1120
  • Smithn, L., Chasnovnn, J., Waleffenn, F., (1996) Phys. Rev. Lett., 77 (12), p. 2467. , 10.1103/PhysRevLett.77.2467 0031-9007
  • Smith, L., Waleffe, F., (1999) Phys. Fluids, 11 (6), p. 1608. , 10.1063/1.870022 1070-6631
  • Smith, L.M., Lee, Y., On near resonances and symmetry breaking in forced rotating flows at moderate Rossby number (2005) Journal of Fluid Mechanics, 535, pp. 111-142. , DOI 10.1017/S0022112005004660
  • Sommeria, J., (1986) J. Fluid Mech., 170 (1), p. 139. , 10.1017/S0022112086000836 0022-1120
  • Sukoriansky, S., Galperin, B., Chekhlov, A., (1999) Phys. Fluids, 11 (10), p. 3043. , 10.1063/1.870163 1070-6631
  • Tabeling, P., (2002) Phys. Rep., 362 (1), p. 1. , 10.1016/S0370-1573(01)00064-3 0370-1573
  • Thalabard, S., (2011) Phys. Rev. Lett., 106 (20). , 10.1103/PhysRevLett.106.204503 0031-9007 204503
  • Teitelbaum, T., Mininni, P.D., (2011) Phys. Fluids, 23 (6). , 10.1063/1.3592325 1070-6631 065105
  • Tran, C.V., Bowman, J., (2003) Physica, 176 (3-4), p. 242. , 10.1016/S0167-2789(02)00771-6 0167-2789 D
  • Valet, J.-P., Meynadier, L., Guyodo, Y., Geomagnetic dipole strength and reversal rate over the past two million years (2005) Nature, 435 (7043), pp. 802-805. , DOI 10.1038/nature03674
  • Vallgren, A., Lindborg, E., (2010) J. Fluid Mech., 656, p. 448. , 10.1017/S0022112010002703 0022-1120
  • Vallgren, A., Lindborg, E., (2011) J. Fluid Mech., 667, p. 463. , 10.1017/S0022112010005628 0022-1120
  • Vallgren, A., Lindborg, E., (2011) J. Fluid Mech., 671, p. 168. , 10.1017/S0022112010005562 0022-1120
  • Verma, M., (2011); Verma, M., (2011); Vladimirova, N., Derevyanko, S., Falkovich, G., (2012) Phys. Rev., 85 (1). , 10.1103/PhysRevE.85.010101 1539-3755 E 010101
  • Waleffe, F., (1992) Phys. Fluids, 4 (2), p. 350. , 10.1063/1.858309 0899-8213 A
  • Waleffe, F., (1993) Phys. Fluids, 5 (3), p. 677. , 10.1063/1.858651 0899-8213 A
  • Xia, H., Byrne, D., Falkovich, G., Shats, M., (2011) Nature Phys., 7 (4), p. 321. , 10.1038/nphys1910 1745-2473
  • Yakhot, V., Zakharov, V., (1993) Physica, 64 (4), p. 379. , 10.1016/0167-2789(93)90050-B 0167-2789 D
  • Yang, Y.T., Su, W.T., Wu, J.Z., (2010) J. Fluid Mech., 662, p. 91. , 10.1017/S0022112010003071 0022-1120
  • Yin, Z., Montgomery, D.C., Clercx, H.J.H., Alternative statistical-mechanical descriptions of decaying two-dimensional turbulence in terms of "patches" and "points" (2003) Physics of Fluids, 15 (7), pp. 1937-1953. , DOI 10.1063/1.1578078
  • Zhou, Y., (1995) Phys. Fluids, 7 (8), p. 2092. , 10.1063/1.868457 1070-6631

Citas:

---------- APA ----------
Pouquet, A., Sen, A., Rosenberg, D., Mininni, P.D. & Baerenzung, J. (2013) . Inverse cascades in turbulence and the case of rotating flows. Physica Scripta, 88(T155).
http://dx.doi.org/10.1088/0031-8949/2013/T155/014032
---------- CHICAGO ----------
Pouquet, A., Sen, A., Rosenberg, D., Mininni, P.D., Baerenzung, J. "Inverse cascades in turbulence and the case of rotating flows" . Physica Scripta 88, no. T155 (2013).
http://dx.doi.org/10.1088/0031-8949/2013/T155/014032
---------- MLA ----------
Pouquet, A., Sen, A., Rosenberg, D., Mininni, P.D., Baerenzung, J. "Inverse cascades in turbulence and the case of rotating flows" . Physica Scripta, vol. 88, no. T155, 2013.
http://dx.doi.org/10.1088/0031-8949/2013/T155/014032
---------- VANCOUVER ----------
Pouquet, A., Sen, A., Rosenberg, D., Mininni, P.D., Baerenzung, J. Inverse cascades in turbulence and the case of rotating flows. Phys Scr. 2013;88(T155).
http://dx.doi.org/10.1088/0031-8949/2013/T155/014032