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Volumn 24, Issue 11, 2012, Pages

Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; PARTIAL DIFFERENTIAL EQUATIONS; REYNOLDS NUMBER; RHENIUM COMPOUNDS; TURBULENCE; VISCOUS FLOW; VORTEX FLOW;

EID: 84872372115     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4767728     Document Type: Article
Times cited : (7)

References (64)
  • 1
    • 58149341340 scopus 로고    scopus 로고
    • The 3D Navier-Stokes problem
    • 10.1146/annurev.fluid.010908.165218
    • Doering C.R. The 3D Navier-Stokes problem. Annu. Rev. Fluid Mech. 2009, 41:109. 10.1146/annurev.fluid.010908.165218.
    • (2009) Annu. Rev. Fluid Mech. , vol.41 , pp. 109
    • Doering, C.R.1
  • 3
    • 77957198447 scopus 로고    scopus 로고
    • Regularity and singularity in solutions of the three-dimensional Navier-Stokes equations
    • 10.1098/rspa.2009.0642
    • Gibbon J.D. Regularity and singularity in solutions of the three-dimensional Navier-Stokes equations. Proc. R. Soc. A 2010, 466:2587. 10.1098/rspa.2009.0642.
    • (2010) Proc. R. Soc. A , vol.466 , pp. 2587
    • Gibbon, J.D.1
  • 4
    • 58149337141 scopus 로고    scopus 로고
    • A miscellany of basic issues on incompressible fluid equations
    • 10.1088/0951-7715/21/12/T02
    • Ohkitani K. A miscellany of basic issues on incompressible fluid equations. Nonlinearity 2008, 21:255. 10.1088/0951-7715/21/12/T02.
    • (2008) Nonlinearity , vol.21 , pp. 255
    • Ohkitani, K.1
  • 6
    • 51249193194 scopus 로고
    • Essai sur le mouvement d'un liquide visqueux emplissant l'espace
    • 10.1007/BF02547354, available (in English) at .
    • Leray J. Essai sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 1934, 63:193. 10.1007/BF02547354, , available (in English) at.
    • (1934) Acta Math. , vol.63 , pp. 193
    • Leray, J.1
  • 7
    • 0001333306 scopus 로고
    • On the initial value problem for the basic equations of hydrodynamics
    • 10.1002/mana.3210040121, available (in English) at .
    • Hopf E. On the initial value problem for the basic equations of hydrodynamics. Math. Nachr. 1951, 4:213. 10.1002/mana.3210040121, , available (in English) at.
    • (1951) Math. Nachr. , vol.4 , pp. 213
    • Hopf, E.1
  • 8
    • 0002117826 scopus 로고
    • Hausdorff measure and the Navier-Stokes equations
    • 10.1007/BF01626512
    • Scheffer V. Hausdorff measure and the Navier-Stokes equations. Commun. Math. Phys. 1977, 55:97. 10.1007/BF01626512.
    • (1977) Commun. Math. Phys. , vol.55 , pp. 97
    • Scheffer, V.1
  • 9
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • 10.1002/cpa.3160350604
    • Caffarelli L. Kohn R. Nirenberg L. Partial regularity of suitable weak solutions of the Navier-Stokes equations. Commun. Pure Appl. Math. 1982, 35:771. 10.1002/cpa.3160350604.
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. 771
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 10
    • 79551608657 scopus 로고    scopus 로고
    • Intermittency and self-organization in turbulent flows
    • 10.1088/0031-8949/2010/T142/014053
    • Kim E. Liu H. Anderson J. Intermittency and self-organization in turbulent flows. Phys. Scr. 2010, T142:014053. 10.1088/0031-8949/2010/T142/014053.
    • (2010) Phys. Scr. , Issue.T142 , pp. 014053
    • Kim, E.1    Liu, H.2    Anderson, J.3
  • 11
    • 77955339508 scopus 로고    scopus 로고
    • On the size of the Navier-Stokes singular set
    • 10.3934/dcds.2010.28.1165
    • Arnold M. Craig W. On the size of the Navier-Stokes singular set. Discrete Contin. Dyn. Syst. 2010, 28:1165. 10.3934/dcds.2010.28.1165.
    • (2010) Discrete Contin. Dyn. Syst. , vol.28 , pp. 1165
    • Arnold, M.1    Craig, W.2
  • 12
    • 34250772284 scopus 로고    scopus 로고
    • A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations
    • 10.1063/1.2372512
    • Chernyshenko S.I. Constantin P. Robinson J.C. Titi E.S. A posteriori regularity of the three-dimensional Navier-Stokes equations from numerical computations. J. Math. Phys. 2007, 48:065204. 10.1063/1.2372512.
    • (2007) J. Math. Phys. , vol.48 , pp. 065204
    • Chernyshenko, S.I.1    Constantin, P.2    Robinson, J.C.3    Titi, E.S.4
  • 13
    • 0003261515 scopus 로고
    • Incipient singularities in the Navier-Stokes equations
    • 10.1103/PhysRevLett.55.1749, ,
    • Pumir A. Siggia E.D. Incipient singularities in the Navier-Stokes equations. Phys. Rev. Lett. 1985, 55:1749. 10.1103/PhysRevLett.55.1749,.
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 1749
    • Pumir, A.1    Siggia, E.D.2
  • 14
    • 0023101871 scopus 로고
    • Vortex dynamics and the existence of solutions to the Navier-Stokes equations
    • 10.1063/1.866226, ,
    • Pumir A. Siggia E.D. Vortex dynamics and the existence of solutions to the Navier-Stokes equations. Phys. Fluids 1987, 30:1606. 10.1063/1.866226,.
    • (1987) Phys. Fluids , vol.30 , pp. 1606
    • Pumir, A.1    Siggia, E.D.2
  • 15
    • 11944253796 scopus 로고
    • Finite-time singularities in the axisymmetric three-dimension Euler equations
    • 10.1103/PhysRevLett.68.1511, ,
    • Pumir A. Siggia E.D. Finite-time singularities in the axisymmetric three-dimension Euler equations. Phys. Rev. Lett. 1992, 68:1511. 10.1103/PhysRevLett.68.1511,.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 1511
    • Pumir, A.1    Siggia, E.D.2
  • 16
    • 73249140158 scopus 로고    scopus 로고
    • Extreme vorticity growth in Navier-Stokes turbulence
    • 10.1016/j.physleta.2009.11.078
    • Schumacher J. Eckhardt B. Doering C. Extreme vorticity growth in Navier-Stokes turbulence. Phys. Lett. A 2010, 374:861. 10.1016/j.physleta.2009.11.078.
    • (2010) Phys. Lett. A , vol.374 , pp. 861
    • Schumacher, J.1    Eckhardt, B.2    Doering, C.3
  • 17
    • 59549098973 scopus 로고    scopus 로고
    • Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations
    • 10.1512/iumj.2008.57.3716
    • Lu L. Doering C.R. Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations. Indiana Univ. Math. J. 2008, 57:2693. 10.1512/iumj.2008.57.3716.
    • (2008) Indiana Univ. Math. J. , vol.57 , pp. 2693
    • Lu, L.1    Doering, C.R.2
  • 18
    • 0001149206 scopus 로고
    • Singularities of the equations of fluid motion
    • 10.1103/PhysRevA.38.6287
    • Sreenivasan K.R. Meneveau C. Singularities of the equations of fluid motion. Phys. Rev. A 1988, 38:6287. 10.1103/PhysRevA.38.6287.
    • (1988) Phys. Rev. A , vol.38 , pp. 6287
    • Sreenivasan, K.R.1    Meneveau, C.2
  • 19
    • 49949114046 scopus 로고    scopus 로고
    • Global regularity of the 3D axi-symmetric Navier-Stokes equations with anisotropic data
    • 10.1080/03605300802108057
    • Hou T.Y. Lei Z. Li C. Global regularity of the 3D axi-symmetric Navier-Stokes equations with anisotropic data. Commun. Partial Differ. Equ. 2008, 33:1622. 10.1080/03605300802108057.
    • (2008) Commun. Partial Differ. Equ. , vol.33 , pp. 1622
    • Hou, T.Y.1    Lei, Z.2    Li, C.3
  • 20
    • 61649125593 scopus 로고    scopus 로고
    • On the partial regularity of a 3D model of the Navier-Stokes equations
    • 10.1007/s00220-008-0689-9
    • Hou T.Y. Lei Z. On the partial regularity of a 3D model of the Navier-Stokes equations. Commun. Math. Phys. 2009, 287:589. 10.1007/s00220-008-0689-9.
    • (2009) Commun. Math. Phys. , vol.287 , pp. 589
    • Hou, T.Y.1    Lei, Z.2
  • 21
    • 78650981545 scopus 로고    scopus 로고
    • On singularity formation of a nonlinear nonlocal system
    • 10.1007/s00205-010-0319-5
    • Hou T.Y. Li C. Shi Z. Wang S. Yu X. On singularity formation of a nonlinear nonlocal system. Arch. Ration. Mech. Anal. 2011, 199:117. 10.1007/s00205-010-0319-5and .
    • (2011) Arch. Ration. Mech. Anal. , vol.199 , pp. 117
    • Hou, T.Y.1    Li, C.2    Shi, Z.3    Wang, S.4    Yu, X.5
  • 22
    • 38949135270 scopus 로고    scopus 로고
    • Local and nonlocal strain rate fields and vorticity alignment in turbulent flows
    • 10.1103/PhysRevE.77.026303
    • Hamlington P.E. Schumacher J. Dahm J.A. Local and nonlocal strain rate fields and vorticity alignment in turbulent flows. Phys. Rev. E 2008, 77:026303. 10.1103/PhysRevE.77.026303.
    • (2008) Phys. Rev. E , vol.77 , pp. 026303
    • Hamlington, P.E.1    Schumacher, J.2    Dahm, J.A.3
  • 23
    • 57149103133 scopus 로고    scopus 로고
    • Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows
    • 10.1063/1.3021055
    • Hamlington P.E. Schumacher J. Dahm J.A. Direct assessment of vorticity alignment with local and nonlocal strain rates in turbulent flows. Phys. Fluids 2008, 20:111703. 10.1063/1.3021055.
    • (2008) Phys. Fluids , vol.20 , pp. 111703
    • Hamlington, P.E.1    Schumacher, J.2    Dahm, J.A.3
  • 24
    • 58149342173 scopus 로고    scopus 로고
    • (American Mathematical Society, Providence, )
    • Fefferman C.L. The Millennium Prize Problems 2006, 57-70. (American Mathematical Society, Providence, ), pp.
    • (2006) The Millennium Prize Problems , pp. 57-70
    • Fefferman, C.L.1
  • 25
    • 1342279309 scopus 로고
    • Remarks on the possible global regularity of solutions of the three-dimensional Navier-Stokes equations
    • Heywood J.G. Remarks on the possible global regularity of solutions of the three-dimensional Navier-Stokes equations. Pitman Res. Notes Math. Ser. 1994, 308:1. .
    • (1994) Pitman Res. Notes Math. Ser. , vol.308 , pp. 1
    • Heywood, J.G.1
  • 26
    • 84855200936 scopus 로고    scopus 로고
    • Bounds on Kolmogorov spectra for the Navier-Stokes equations
    • 10.1016/j.physd.2011.10.013
    • Biryuk A. Craig W. Bounds on Kolmogorov spectra for the Navier-Stokes equations. Physica D 2012, 241:426. 10.1016/j.physd.2011.10.013.
    • (2012) Physica D , vol.241 , pp. 426
    • Biryuk, A.1    Craig, W.2
  • 27
    • 0016847289 scopus 로고
    • On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars
    • 10.1017/S0022112075003047
    • Mandlebrot B.B. On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars. J. Fluid Mech. 1975, 72:401. 10.1017/S0022112075003047.
    • (1975) J. Fluid Mech. , vol.72 , pp. 401
    • Mandlebrot, B.B.1
  • 28
    • 0017961873 scopus 로고
    • Fully developed turbulence and statistical mechanics
    • 10.1051/jphys:01978003905044100
    • Rose H.A. Sulem P.L. Fully developed turbulence and statistical mechanics. J. Phys. (Paris) 1978, 39:441. 10.1051/jphys:01978003905044100.
    • (1978) J. Phys. (Paris) , vol.39 , pp. 441
    • Rose, H.A.1    Sulem, P.L.2
  • 29
    • 0040582685 scopus 로고
    • Some rigorous results about 3D Navier-Stokes
    • R. Benzi, C. Basdevant, S. Ciliberto, (Nova Science, New York, )
    • Gallavotti G. Some rigorous results about 3D Navier-Stokes. Les Houches 1992 NATO-ASI meeting on "Turbulence in Extended Systems," 1993, 45. R. Benzi, C. Basdevant, S. Ciliberto, in edited by and (Nova Science, New York, ), p.
    • (1993) Les Houches 1992 NATO-ASI meeting on "Turbulence in Extended Systems," , pp. 45
    • Gallavotti, G.1
  • 31
    • 84861987908 scopus 로고    scopus 로고
    • Numerical study on comparison of Navier-Stokes and Burgers equations
    • 10.1063/1.4719787
    • Ohkitani K. Dowker M. Numerical study on comparison of Navier-Stokes and Burgers equations. Phys. Fluids 2012, 24:055133. 10.1063/1.4719787.
    • (2012) Phys. Fluids , vol.24 , pp. 055133
    • Ohkitani, K.1    Dowker, M.2
  • 32
    • 34249290781 scopus 로고    scopus 로고
    • Decay of weak solutions and the singular set of the three-dimensional Navier-Stokes equations
    • 10.1088/0951-7715/20/5/007
    • Robinson J.C. Sadowski W. Decay of weak solutions and the singular set of the three-dimensional Navier-Stokes equations. Nonlinearity 2007, 20:1185. 10.1088/0951-7715/20/5/007.
    • (2007) Nonlinearity , vol.20 , pp. 1185
    • Robinson, J.C.1    Sadowski, W.2
  • 33
    • 70350652809 scopus 로고    scopus 로고
    • The fractal dimension of the singular set for solutions of the Navier-Stokes system
    • 10.1088/0951-7715/22/12/005
    • Kukavica I. The fractal dimension of the singular set for solutions of the Navier-Stokes system. Nonlinearity 2009, 22:2889. 10.1088/0951-7715/22/12/005.
    • (2009) Nonlinearity , vol.22 , pp. 2889
    • Kukavica, I.1
  • 34
    • 0016602026 scopus 로고
    • Bounds on energy flux for finite energy turbulence
    • 10.1017/S0022112075003059
    • Sulem P.L. Frisch U. Bounds on energy flux for finite energy turbulence. J. Fluid Mech. 1975, 72:417. 10.1017/S0022112075003059.
    • (1975) J. Fluid Mech. , vol.72 , pp. 417
    • Sulem, P.L.1    Frisch, U.2
  • 35
    • 0025523018 scopus 로고
    • Smallest scale estimates for the Navier-Stokes equations for incompressible fluids
    • 10.1007/BF00431721
    • Henshaw W.D. Kreiss H.O. Reyna L.G. Smallest scale estimates for the Navier-Stokes equations for incompressible fluids. Arch. Ration. Mech. Anal. 1990, 112:21. 10.1007/BF00431721.
    • (1990) Arch. Ration. Mech. Anal. , vol.112 , pp. 21
    • Henshaw, W.D.1    Kreiss, H.O.2    Reyna, L.G.3
  • 36
    • 0002210659 scopus 로고
    • On the smallest scale for the incompressible Navier-Stokes equations
    • 10.1007/BF00272138
    • Henshaw W.D. Reyna L.G. Kreiss H.O. On the smallest scale for the incompressible Navier-Stokes equations. Theor. Comput. Fluid Dyn. 1989, 1:65. 10.1007/BF00272138.
    • (1989) Theor. Comput. Fluid Dyn. , vol.1 , pp. 65
    • Henshaw, W.D.1    Reyna, L.G.2    Kreiss, H.O.3
  • 37
    • 0001707647 scopus 로고
    • Degrees of freedom of turbulence
    • 10.1103/PhysRevA.35.1971
    • Paladin G. Vulpiani G. Degrees of freedom of turbulence. Phys. Rev. A 1987, 35:1971. 10.1103/PhysRevA.35.1971.
    • (1987) Phys. Rev. A , vol.35 , pp. 1971
    • Paladin, G.1    Vulpiani, G.2
  • 38
    • 0001250839 scopus 로고
    • A simple dynamical model of intermittent fully developed turbulence
    • 10.1017/S0022112078001846
    • Frisch U. Sulem P.L. Nelkin M. A simple dynamical model of intermittent fully developed turbulence. J. Fluid Mech. 1978, 87:719. 10.1017/S0022112078001846.
    • (1978) J. Fluid Mech. , vol.87 , pp. 719
    • Frisch, U.1    Sulem, P.L.2    Nelkin, M.3
  • 39
    • 0000038026 scopus 로고
    • Large volume limit of the distribution of characteristic exponents in turbulence
    • 10.1007/BF01218566
    • Ruelle D. Large volume limit of the distribution of characteristic exponents in turbulence. Commun. Math. Phys. 1982, 87:287. 10.1007/BF01218566.
    • (1982) Commun. Math. Phys. , vol.87 , pp. 287
    • Ruelle, D.1
  • 40
    • 0037093148 scopus 로고    scopus 로고
    • Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations
    • 10.1016/S0167-2789(02)00427-X
    • Doering C.R. Gibbon J.D. Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier-Stokes equations. Physica D 2002, 165:163. 10.1016/S0167-2789(02)00427-X.
    • (2002) Physica D , vol.165 , pp. 163
    • Doering, C.R.1    Gibbon, J.D.2
  • 41
    • 12044250916 scopus 로고
    • Universal scaling laws in fully developed turbulence
    • 10.1103/PhysRevLett.72.336
    • She Z.S. Leveque E. Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 1994, 72:336. 10.1103/PhysRevLett.72.336.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 336
    • She, Z.S.1    Leveque, E.2
  • 42
    • 34147223030 scopus 로고    scopus 로고
    • Asymptotic exponents from low-Reynolds-number flows
    • 10.1088/1367-2630/9/4/089
    • Schumacher J. Sreenivasan K.R. Yakhot V. Asymptotic exponents from low-Reynolds-number flows. New J. Phys. 2007, 9:89. 10.1088/1367-2630/9/4/089.
    • (2007) New J. Phys. , vol.9 , pp. 89
    • Schumacher, J.1    Sreenivasan, K.R.2    Yakhot, V.3
  • 43
    • 84872370679 scopus 로고    scopus 로고
    • In the phenomenology, the spatial scale is taken in the longitudinal, say, in x-direction. By definition, we have where the mathematical limit r → 0 physically means r → rmin in developed turbulence.
    • In the phenomenology, the spatial scale is taken in the longitudinal, say, in x-direction. By definition, we have where the mathematical limit r → 0 physically means r → rmin in developed turbulence.
  • 44
    • 84872385338 scopus 로고    scopus 로고
    • If α = ∞, that would imply , which contradicts with the regularity of the Navier-Stokes flows. If α = 0, that would imply which is also absurd. The other possibility, α is indeterminate, is at variance with the assumption (2).
    • If α = ∞, that would imply which contradicts with the regularity of the Navier-Stokes flows. If α = 0, that would imply which is also absurd. The other possibility, α is indeterminate, is at variance with the assumption (2).
  • 45
    • 84872411511 scopus 로고    scopus 로고
    • For finite Reynolds number turbulence, deviations from the linear behavior would be expected at some large, but finite order p because infinitesimally small viscosity is assumed here.
    • For finite Reynolds number turbulence, deviations from the linear behavior would be expected at some large, but finite order p because infinitesimally small viscosity is assumed here.
  • 47
    • 36149029228 scopus 로고
    • Intermittency and coherent structures in two-dimensional turbulence
    • 10.1088/0305-4470/19/18/023
    • Benzi R. Paladin G. Patarnello S. Santangelo P. Vulpiani A. Intermittency and coherent structures in two-dimensional turbulence. J. Phys. A 1986, 19:3771. 10.1088/0305-4470/19/18/023.
    • (1986) J. Phys. A , vol.19 , pp. 3771
    • Benzi, R.1    Paladin, G.2    Patarnello, S.3    Santangelo, P.4    Vulpiani, A.5
  • 49
    • 0001860210 scopus 로고
    • Scaling exponents in fluid turbulence: Some analytic results
    • 10.1088/0951-7715/7/1/003
    • Constantin P. Fefferman C. Scaling exponents in fluid turbulence: Some analytic results. Nonlinearity 1994, 7:41. 10.1088/0951-7715/7/1/003.
    • (1994) Nonlinearity , vol.7 , pp. 41
    • Constantin, P.1    Fefferman, C.2
  • 50
    • 84855449442 scopus 로고    scopus 로고
    • A hierarchy of length scales for weak solutions of the three-dimensional Navier-Stokes equations
    • Gibbon J.D. A hierarchy of length scales for weak solutions of the three-dimensional Navier-Stokes equations. Commun. Math. Sci. 2011, 10:131. .
    • (2011) Commun. Math. Sci. , vol.10 , pp. 131
    • Gibbon, J.D.1
  • 51
    • 0037430091 scopus 로고    scopus 로고
    • Intermittency in solutions of the three-dimensional Navier-Stokes equations
    • 10.1017/S0022112002003555
    • Gibbon J.D. Doering C.R. Intermittency in solutions of the three-dimensional Navier-Stokes equations. J. Fluid Mech. 2003, 478:227. 10.1017/S0022112002003555.
    • (2003) J. Fluid Mech. , vol.478 , pp. 227
    • Gibbon, J.D.1    Doering, C.R.2
  • 52
    • 20644447346 scopus 로고    scopus 로고
    • Intermittency and regularity issues in 3D Navier-Stokes turbulence
    • 10.1007/s00205-005-0382-5
    • Gibbon J.D. Doering C.R. Intermittency and regularity issues in 3D Navier-Stokes turbulence. Arch. Ration. Mech. Anal. 2005, 177:115. 10.1007/s00205-005-0382-5.
    • (2005) Arch. Ration. Mech. Anal. , vol.177 , pp. 115
    • Gibbon, J.D.1    Doering, C.R.2
  • 53
    • 0001653602 scopus 로고    scopus 로고
    • An update on the energy dissipation rate in isotropic turbulence
    • 10.1063/1.869575, homampersand
    • Sreenivasan K.R. An update on the energy dissipation rate in isotropic turbulence. Phys. Fluids 1998, 10:528. 10.1063/1.869575, homampersand_#x201C;,".
    • (1998) Phys. Fluids , vol.10 , pp. 528
    • Sreenivasan, K.R.1
  • 54
    • 0027397177 scopus 로고
    • An update on the intermittency exponent in turbulence
    • 10.1063/1.858877
    • Sreenivasan K.R. Kailasnath P. An update on the intermittency exponent in turbulence. Phys. Fluids A 1993, 5:512. 10.1063/1.858877.
    • (1993) Phys. Fluids A , vol.5 , pp. 512
    • Sreenivasan, K.R.1    Kailasnath, P.2
  • 55
    • 0001075570 scopus 로고
    • Intermittency of dissipation in a directly simulated fully-developed turbulence
    • 10.1143/JPSJ59.401
    • Hosokawa I. Yamamoto K. Intermittency of dissipation in a directly simulated fully-developed turbulence. J. Phys. Soc. Jpn. 1990, 59:401. 10.1143/JPSJ59.401.
    • (1990) J. Phys. Soc. Jpn. , vol.59 , pp. 401
    • Hosokawa, I.1    Yamamoto, K.2
  • 56
    • 84655162189 scopus 로고    scopus 로고
    • Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence
    • 10.1016/j.physd.2011.04.015
    • Donzis D.A. Sreenivasan K.R. Yeung P.K. Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence. Physica D 2012, 241:164. 10.1016/j.physd.2011.04.015.
    • (2012) Physica D , vol.241 , pp. 164
    • Donzis, D.A.1    Sreenivasan, K.R.2    Yeung, P.K.3
  • 57
    • 43149118129 scopus 로고    scopus 로고
    • Dissipation and enstrophy in isotropic turbulence: Resolution effects and scaling in direct numerical simulations
    • 10.1063/1.2907227
    • Donzis D.A. Yeung P.K. Sreenivasan K.R. Dissipation and enstrophy in isotropic turbulence: Resolution effects and scaling in direct numerical simulations. Phys. Fluids 2008, 20:045108. 10.1063/1.2907227and .
    • (2008) Phys. Fluids , vol.20 , pp. 045108
    • Donzis, D.A.1    Yeung, P.K.2    Sreenivasan, K.R.3
  • 58
    • 77952339460 scopus 로고    scopus 로고
    • Short-term forecasts and scaling of intense events in turbulence
    • 10.1017/S0022112009993600
    • Donzis D.A. Sreenivasan K.R. Short-term forecasts and scaling of intense events in turbulence. J. Fluid Mech. 2010, 647:13. 10.1017/S0022112009993600.
    • (2010) J. Fluid Mech. , vol.647 , pp. 13
    • Donzis, D.A.1    Sreenivasan, K.R.2
  • 59
    • 84864152612 scopus 로고    scopus 로고
    • Dissipation, enstrophy and pressure statistics in turbulence simulations at high Reynolds numbers
    • 10.1017/jfm.2012.5
    • Yeung P.K. Donzis D.A. Sreenivasan K.R. Dissipation, enstrophy and pressure statistics in turbulence simulations at high Reynolds numbers. J. Fluid Mech. 2012, 700:5. 10.1017/jfm.2012.5.
    • (2012) J. Fluid Mech. , vol.700 , pp. 5
    • Yeung, P.K.1    Donzis, D.A.2    Sreenivasan, K.R.3
  • 60
    • 0035397882 scopus 로고    scopus 로고
    • An inertial range crossover in structure functions
    • 10.1063/1.1373683
    • Kerr R.M. Meneguzzi M. Gotoh T. An inertial range crossover in structure functions. Phys. Fluids 2001, 13:1985. 10.1063/1.1373683.
    • (2001) Phys. Fluids , vol.13 , pp. 1985
    • Kerr, R.M.1    Meneguzzi, M.2    Gotoh, T.3
  • 61
    • 84859516886 scopus 로고    scopus 로고
    • Energy dissipation rate surrogates in incompressible Navier-Stokes turbulence
    • 10.1017/jfm.2012.53
    • Almalkie S. de Bruyn Kops S.M. Energy dissipation rate surrogates in incompressible Navier-Stokes turbulence. J. Fluid Mech. 2012, 697:204. 10.1017/jfm.2012.53.
    • (2012) J. Fluid Mech. , vol.697 , pp. 204
    • Almalkie, S.1    de Bruyn Kops, S.M.2
  • 62
    • 34250011389 scopus 로고    scopus 로고
    • Nonlinear amplification of vorticity in inviscid interaction of orthogonal lamb dipoles
    • 10.1063/1.2732438
    • Orlandi P. Carnevale G.F. Nonlinear amplification of vorticity in inviscid interaction of orthogonal lamb dipoles. Phys. Fluids 2007, 19:057106. 10.1063/1.2732438.
    • (2007) Phys. Fluids , vol.19 , pp. 057106
    • Orlandi, P.1    Carnevale, G.F.2
  • 63
    • 77949423904 scopus 로고    scopus 로고
    • Vorticity dynamics in turbulence growth
    • 10.1007/s00162-009-0100-2
    • Orlandi P. Pirozzoli S. Vorticity dynamics in turbulence growth. Theor. Comput. Fluid Dyn. 2010, 24:247. 10.1007/s00162-009-0100-2.
    • (2010) Theor. Comput. Fluid Dyn. , vol.24 , pp. 247
    • Orlandi, P.1    Pirozzoli, S.2


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