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Volumn 218, Issue 1, 2006, Pages 1-10

Links between dissipation, intermittency, and helicity in the GOY model revisited

Author keywords

Dissipation scale; GOY shell model; Helicity; Intermediate dissipation range; Intermittency; Turbulence

Indexed keywords

COMPUTER SIMULATION; ENERGY DISSIPATION; MATHEMATICAL MODELS; STATISTICAL METHODS;

EID: 33646920117     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.01.028     Document Type: Article
Times cited : (20)

References (50)
  • 1
    • 0017443025 scopus 로고
    • Nonlinear cascade models for fully developed turbulence
    • Bell T., and Nelkin M. Nonlinear cascade models for fully developed turbulence. Phys. Fluids 20 (1977) 345-350
    • (1977) Phys. Fluids , vol.20 , pp. 345-350
    • Bell, T.1    Nelkin, M.2
  • 2
    • 7444269664 scopus 로고    scopus 로고
    • Shell model of two-dimensional turbulence in polymer solutions
    • Benzi R., Horesh N., and Procaccia I. Shell model of two-dimensional turbulence in polymer solutions. Europhys. Lett. 68 (2004) 310-315
    • (2004) Europhys. Lett. , vol.68 , pp. 310-315
    • Benzi, R.1    Horesh, N.2    Procaccia, I.3
  • 3
    • 0001025210 scopus 로고    scopus 로고
    • A new class of time discretization schemes for the solution of nonlinear PDEs
    • Beylkin G., Keiser J.M., and Vozovoi L. A new class of time discretization schemes for the solution of nonlinear PDEs. J. Comput. Phys. 147 (1998) 362-387
    • (1998) J. Comput. Phys. , vol.147 , pp. 362-387
    • Beylkin, G.1    Keiser, J.M.2    Vozovoi, L.3
  • 4
    • 0037861168 scopus 로고    scopus 로고
    • Shell models of energy cascade in turbulence
    • Biferale L. Shell models of energy cascade in turbulence. Annu. Rev. Fluid Mech. 35 (2003) 441-468
    • (2003) Annu. Rev. Fluid Mech. , vol.35 , pp. 441-468
    • Biferale, L.1
  • 5
    • 0003115203 scopus 로고
    • Transition to chaos in a shell model of turbulence
    • Biferale L., Lambert A., Lima R., and Paladin G. Transition to chaos in a shell model of turbulence. Physica D 80 (1995) 105-119
    • (1995) Physica D , vol.80 , pp. 105-119
    • Biferale, L.1    Lambert, A.2    Lima, R.3    Paladin, G.4
  • 6
    • 0009371797 scopus 로고
    • Cascade models for magnetohydrodynamic turbulence
    • Biskamp D. Cascade models for magnetohydrodynamic turbulence. Phys. Rev. E 50 (1994) 2702-2711
    • (1994) Phys. Rev. E , vol.50 , pp. 2702-2711
    • Biskamp, D.1
  • 7
    • 4243353682 scopus 로고    scopus 로고
    • Energy dissipation statistics in a shell model of turbulence
    • Boffetta G., Celani A., and Roagna D. Energy dissipation statistics in a shell model of turbulence. Phys. Rev. E 61 (2000) 3234-3236
    • (2000) Phys. Rev. E , vol.61 , pp. 3234-3236
    • Boffetta, G.1    Celani, A.2    Roagna, D.3
  • 8
    • 0036794771 scopus 로고    scopus 로고
    • Structure functions and energy dissipation dependence on Reynolds number
    • Boffetta G., and Romano G. Structure functions and energy dissipation dependence on Reynolds number. Phys. Fluids 41 (2002) 3453-3458
    • (2002) Phys. Fluids , vol.41 , pp. 3453-3458
    • Boffetta, G.1    Romano, G.2
  • 9
  • 11
    • 33646928612 scopus 로고    scopus 로고
    • J.C. Bowman, M. Roberts, An adaptive exponential integrator, J. Comput. Phys. (2006) (submitted for publication)
  • 12
    • 0013281759 scopus 로고    scopus 로고
    • Exactly conservative integrators
    • 15th IMACS World Congress on Scientific Computation. Sydow A. (Ed), Wissenschaft & Technik, Berlin
    • Bowman J.C., Shadwick B.A., and Morrison P.J. Exactly conservative integrators. In: Sydow A. (Ed). 15th IMACS World Congress on Scientific Computation. Modelling and Applied Mathematics vol. 2 (August 1997), Wissenschaft & Technik, Berlin 595-600
    • (1997) Modelling and Applied Mathematics , vol.2 , pp. 595-600
    • Bowman, J.C.1    Shadwick, B.A.2    Morrison, P.J.3
  • 13
    • 10644287216 scopus 로고
    • The solution of ordinary differential equations with large time constants
    • Certaine J. The solution of ordinary differential equations with large time constants. Math. Meth. Dig. Comp. (1960) 129-132
    • (1960) Math. Meth. Dig. Comp. , pp. 129-132
    • Certaine, J.1
  • 14
    • 23744485556 scopus 로고    scopus 로고
    • On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence
    • Chevillard L., Castaing B., and Lévêque E. On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence. Eur. Phys. J. B 45 (2005) 561-567
    • (2005) Eur. Phys. J. B , vol.45 , pp. 561-567
    • Chevillard, L.1    Castaing, B.2    Lévêque, E.3
  • 15
    • 0036501083 scopus 로고    scopus 로고
    • Exponential time differencing for stiff systems
    • Cox S., and Matthews P. Exponential time differencing for stiff systems. J. Comput. Phys. 176 (2002) 430-455
    • (2002) J. Comput. Phys. , vol.176 , pp. 430-455
    • Cox, S.1    Matthews, P.2
  • 16
    • 36449002589 scopus 로고
    • Does deterministic chaos imply intermittency in fully developed turbulence?
    • Eggers J., and Grossmann S. Does deterministic chaos imply intermittency in fully developed turbulence?. Phys. Fluids A 3 (1991) 1985
    • (1991) Phys. Fluids A , vol.3 , pp. 1985
    • Eggers, J.1    Grossmann, S.2
  • 17
    • 0010875590 scopus 로고
    • Effect of dissipation fluctuations on anomalous velocity scaling in turbulence
    • Eggers J., and Grossmann S. Effect of dissipation fluctuations on anomalous velocity scaling in turbulence. Phys. Rev. A 45 (1992) 2360
    • (1992) Phys. Rev. A , vol.45 , pp. 2360
    • Eggers, J.1    Grossmann, S.2
  • 18
    • 0043284451 scopus 로고    scopus 로고
    • Nonperturbative renormalization group approach to turbulence
    • Esser A., and Grossmann S. Nonperturbative renormalization group approach to turbulence. Eur. Phys. J. B 7 (1999) 467-482
    • (1999) Eur. Phys. J. B , vol.7 , pp. 467-482
    • Esser, A.1    Grossmann, S.2
  • 19
    • 36449009439 scopus 로고
    • Bottleneck phenomenon in developed turbulence
    • Falkovich G. Bottleneck phenomenon in developed turbulence. Phys. Fluids 6 (1994) 1411-1414
    • (1994) Phys. Fluids , vol.6 , pp. 1411-1414
    • Falkovich, G.1
  • 21
    • 84956236550 scopus 로고
    • A prediction of the multifractal model: The intermediate dissipation range
    • Frisch U., and Vergassola M. A prediction of the multifractal model: The intermediate dissipation range. Europhys. Lett. 14 (1991) 439-444
    • (1991) Europhys. Lett. , vol.14 , pp. 439-444
    • Frisch, U.1    Vergassola, M.2
  • 22
    • 0000724695 scopus 로고
    • System of hydrodynamic type admitting two quadratic integrals of motion
    • Gledzer E. System of hydrodynamic type admitting two quadratic integrals of motion. Sov. Phys. Dokl. 18 (1973) 216
    • (1973) Sov. Phys. Dokl. , vol.18 , pp. 216
    • Gledzer, E.1
  • 23
    • 0028154349 scopus 로고
    • Scale resolved intermittency in turbulence
    • Grossmann S., and Lohse D. Scale resolved intermittency in turbulence. Phys. Fluids 6 (1994) 611
    • (1994) Phys. Fluids , vol.6 , pp. 611
    • Grossmann, S.1    Lohse, D.2
  • 24
    • 33645160676 scopus 로고
    • Universality in fully developed turbulence
    • Grossmann S., and Lohse D. Universality in fully developed turbulence. Phys. Rev. E 50 (1994) 2784-2789
    • (1994) Phys. Rev. E , vol.50 , pp. 2784-2789
    • Grossmann, S.1    Lohse, D.2
  • 25
    • 0030379341 scopus 로고    scopus 로고
    • Developed turbulence: From full simulations to full mode reductions
    • Grossmann S., Lohse D., and Reeh A. Developed turbulence: From full simulations to full mode reductions. Phys. Rev. Lett. 77 (1996) 5369-5372
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 5369-5372
    • Grossmann, S.1    Lohse, D.2    Reeh, A.3
  • 27
    • 0039898906 scopus 로고
    • Universal shape of scaling functions in turbulence
    • Herweijer J., and van de Water W. Universal shape of scaling functions in turbulence. Phys. Rev. Lett. 74 (1995) 4651-4654
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 4651-4654
    • Herweijer, J.1    van de Water, W.2
  • 28
    • 0002279610 scopus 로고    scopus 로고
    • Explicit integrators for large systems of differential equations
    • Hochbruck M., Lubich C., and Selfhofer H. Explicit integrators for large systems of differential equations. SIAM J. Sci. Comput. 19 (1998) 1552-1574
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1552-1574
    • Hochbruck, M.1    Lubich, C.2    Selfhofer, H.3
  • 29
    • 33646264630 scopus 로고    scopus 로고
    • Explicit exponential Runge-Kutta methods for semilinear parabolic problems
    • Hochbruck M., and Ostermann A. Explicit exponential Runge-Kutta methods for semilinear parabolic problems. SIAM J. Numer. Anal. 43 (2005) 1069-1090
    • (2005) SIAM J. Numer. Anal. , vol.43 , pp. 1069-1090
    • Hochbruck, M.1    Ostermann, A.2
  • 30
    • 25544442539 scopus 로고
    • Shell model for turbulent advection of passive-scalar fields
    • Jensen M. Shell model for turbulent advection of passive-scalar fields. Phys. Rev. A 45 (1992) 7214-7221
    • (1992) Phys. Rev. A , vol.45 , pp. 7214-7221
    • Jensen, M.1
  • 31
    • 0000258818 scopus 로고
    • Scaling and dissipation in the GOY shell model
    • Kadanoff L.P., Lohse D., Wang J., and Benzi R. Scaling and dissipation in the GOY shell model. Phys. Fluids 7 (1995) 617-629
    • (1995) Phys. Fluids , vol.7 , pp. 617-629
    • Kadanoff, L.P.1    Lohse, D.2    Wang, J.3    Benzi, R.4
  • 32
    • 0002346018 scopus 로고
    • Local structure of turbulence in an incompressible viscous fluid at very large Reynolds numbers
    • Kolmogorov A. Local structure of turbulence in an incompressible viscous fluid at very large Reynolds numbers. Dokl. Acad. Nauk SSSR 30 (1941) 299
    • (1941) Dokl. Acad. Nauk SSSR , vol.30 , pp. 299
    • Kolmogorov, A.1
  • 33
    • 0002894836 scopus 로고
    • Local structure of turbulence in an incompressible viscous fluid at very large Reynolds numbers
    • (reprinted)
    • Kolmogorov A. Local structure of turbulence in an incompressible viscous fluid at very large Reynolds numbers. Proc. R. Soc. Lond. A 434 (1991) 9-13 (reprinted)
    • (1991) Proc. R. Soc. Lond. A , vol.434 , pp. 9-13
    • Kolmogorov, A.1
  • 34
    • 0037144476 scopus 로고    scopus 로고
    • An exactly conservative integrator for the n-body problem
    • Kotovych O., and Bowman J.C. An exactly conservative integrator for the n-body problem. J. Phys. A.: Math. Gen. 35 (2002) 7849-7863
    • (2002) J. Phys. A.: Math. Gen. , vol.35 , pp. 7849-7863
    • Kotovych, O.1    Bowman, J.C.2
  • 35
    • 0035971757 scopus 로고    scopus 로고
    • Finite-mode spectral model of homogeneous and isotropic Navier-Stokes turbulence: A rapidly depleted energy cascade
    • Lévêque E., and Koudella C.R. Finite-mode spectral model of homogeneous and isotropic Navier-Stokes turbulence: A rapidly depleted energy cascade. Phys. Rev. Lett. 86 (2001) 4033-4036
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 4033-4036
    • Lévêque, E.1    Koudella, C.R.2
  • 36
    • 0042820900 scopus 로고
    • Viscous effects on inertial range scaling in a dynamical model of turbulence
    • Leveque E., and She Z. Viscous effects on inertial range scaling in a dynamical model of turbulence. Phys. Rev. Lett. 75 (1995) 2690-2693
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 2690-2693
    • Leveque, E.1    She, Z.2
  • 37
    • 10844232588 scopus 로고
    • Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space
    • Lohse D., and Müller-Groeling A. Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space. Phys. Rev. Lett. 74 (1995) 1747-1750
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1747-1750
    • Lohse, D.1    Müller-Groeling, A.2
  • 38
    • 4243364324 scopus 로고    scopus 로고
    • Anisotropy and scaling corrections in turbulence
    • Lohse D., and Müller-Groeling A. Anisotropy and scaling corrections in turbulence. Phys. Rev. E 54 (1996) 395-405
    • (1996) Phys. Rev. E , vol.54 , pp. 395-405
    • Lohse, D.1    Müller-Groeling, A.2
  • 39
    • 0035509413 scopus 로고    scopus 로고
    • Self-similar fluctuation and large deviation statistics in the shell model of turbulence
    • Nakayma Y., Watanabe T., and Fujisaka H. Self-similar fluctuation and large deviation statistics in the shell model of turbulence. Phys. Rev. E 64 1-13 (2001) 056304
    • (2001) Phys. Rev. E , vol.64 , Issue.1-13 , pp. 056304
    • Nakayma, Y.1    Watanabe, T.2    Fujisaka, H.3
  • 40
    • 0000413754 scopus 로고
    • Functionals and the random-force method in turbulence theory
    • Novikov E.A. Functionals and the random-force method in turbulence theory. J. Exptl. Theoret. Phys. (U.S.S.R) 47 (1964) 1919-1926
    • (1964) J. Exptl. Theoret. Phys. (U.S.S.R) , vol.47 , pp. 1919-1926
    • Novikov, E.A.1
  • 41
    • 0000861553 scopus 로고
    • Temporal intermittency in the energy cascade process and local Lyapunov analysis in fully developed model turbulence
    • Ohkitani K., and Yamada M. Temporal intermittency in the energy cascade process and local Lyapunov analysis in fully developed model turbulence. Progr. Theoret. Phys. 81 (1989) 329
    • (1989) Progr. Theoret. Phys. , vol.81 , pp. 329
    • Ohkitani, K.1    Yamada, M.2
  • 43
    • 0004668201 scopus 로고
    • How the viscous subrange determines inertial range properties in turbulence shell models
    • Schörghofer N., Kadanoff L.P., and Lohse D. How the viscous subrange determines inertial range properties in turbulence shell models. Physica D 88 (1995) 40-54
    • (1995) Physica D , vol.88 , pp. 40-54
    • Schörghofer, N.1    Kadanoff, L.P.2    Lohse, D.3
  • 46
    • 12044250916 scopus 로고
    • Universal scaling laws in fully developed turbulence
    • She Z., and Leveque E. Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 72 (1994) 336
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 336
    • She, Z.1    Leveque, E.2
  • 47
    • 0001175632 scopus 로고
    • Origin of intermittency in fully developed turbulence
    • Siggia E.D. Origin of intermittency in fully developed turbulence. Phys. Rev. A 15 (1977) 1730-1750
    • (1977) Phys. Rev. A , vol.15 , pp. 1730-1750
    • Siggia, E.D.1
  • 48
    • 6144271247 scopus 로고
    • Lyapunov spectrum of a chaotic model of three-dimensional turbulence
    • Yamada M., and Ohkitani K. Lyapunov spectrum of a chaotic model of three-dimensional turbulence. J. Phys. Soc. Japan 56 (1987) 4210-4213
    • (1987) J. Phys. Soc. Japan , vol.56 , pp. 4210-4213
    • Yamada, M.1    Ohkitani, K.2
  • 49
    • 0037523562 scopus 로고
    • The inertial subrange and non-positive Lyapunov exponents in fully developed turbulence
    • Yamada M., and Ohkitani K. The inertial subrange and non-positive Lyapunov exponents in fully developed turbulence. Prog. Theor. Phys. 79 (1988) 1265
    • (1988) Prog. Theor. Phys. , vol.79 , pp. 1265
    • Yamada, M.1    Ohkitani, K.2
  • 50
    • 11744318495 scopus 로고
    • Lyapunov spectrum of a model of two-dimensional turbulence
    • Yamada M., and Ohkitani K. Lyapunov spectrum of a model of two-dimensional turbulence. Phys. Rev. Lett. 60 (1988) 983
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 983
    • Yamada, M.1    Ohkitani, K.2


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