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Volumn 66, Issue 1, 2002, Pages

Closure of two-dimensional turbulence: The role of pressure gradients

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DENSITY (SPECIFIC GRAVITY); FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PRESSURE EFFECTS; TENSORS;

EID: 41349102717     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.017301     Document Type: Article
Times cited : (3)

References (21)
  • 2
    • 36849111955 scopus 로고
    • Phys. FluidsG.K. Batchelor, 12, 233 (1969);
    • (1969) , vol.12 , pp. 233
    • Batchelor, G.K.1
  • 5
    • 85036159873 scopus 로고    scopus 로고
    • U. Frisch, Turbulence (Cambridge University Press, Cambridge, UK, 1995)
    • U. Frisch, Turbulence (Cambridge University Press, Cambridge, UK, 1995).
  • 12
    • 85036286515 scopus 로고    scopus 로고
    • DNS of Eq. (1) have been performed by means of a fully dealiased standard pseudospectral code on a doubly periodic square domain of size (Formula presented) with (Formula presented) grid points. Energy is injected into the system at a constant rate (Formula presented) by means of an isotropic Gaussian forcing f, concentrated on small scales (Formula presented) with correlation (Formula presented) 5. We also considered a Gaussian forcing in a restricted band of wave numbers. Viscous term in Eq. (1), as customary, has been replaced by a hyperviscous term (here of order eight). Time evolution is obtained by a second-order Runge-Kutta scheme, and integrations have been stopped when (Formula presented) is still well below the system size to avoid condensation and averages are made over several independent realizations
    • DNS of Eq. (1) have been performed by means of a fully dealiased standard pseudospectral code on a doubly periodic square domain of size (Formula presented) with (Formula presented) grid points. Energy is injected into the system at a constant rate (Formula presented) by means of an isotropic Gaussian forcing f, concentrated on small scales (Formula presented) with correlation (Formula presented) 5. We also considered a Gaussian forcing in a restricted band of wave numbers. Viscous term in Eq. (1), as customary, has been replaced by a hyperviscous term (here of order eight). Time evolution is obtained by a second-order Runge-Kutta scheme, and integrations have been stopped when (Formula presented) is still well below the system size to avoid condensation and averages are made over several independent realizations.
  • 13
    • 85036383841 scopus 로고    scopus 로고
    • A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. II
    • A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. II.
  • 14
    • 85036256783 scopus 로고    scopus 로고
    • T. Gotoh, ITP lectures noted of program on hydrodynamic turbulence, 2000, URL: http://online.itp.ucsb.edu/online/hydrot_c00/gotoh
    • T. Gotoh, ITP lectures noted of program on hydrodynamic turbulence, 2000, URL: http://online.itp.ucsb.edu/online/hydrot_c00/gotoh
  • 15
    • 85036233112 scopus 로고    scopus 로고
    • For (Formula presented), the quantity of interest is the conditional average (Formula presented). Due to rotational symmetry one has parity invariance, i.e., (Formula presented), which implies the invariance of (Formula presented) for (Formula presented). Taking into account that (Formula presented) (Formula presented) would be an odd function of V. Moreover, (Formula presented)
    • For (Formula presented), the quantity of interest is the conditional average (Formula presented). Due to rotational symmetry one has parity invariance, i.e., (Formula presented), which implies the invariance of (Formula presented) for (Formula presented). Taking into account that (Formula presented) (Formula presented) would be an odd function of V. Moreover, (Formula presented).
  • 16
    • 85036277600 scopus 로고    scopus 로고
    • order to guarantee the correct dimensionality, the Kolmogorov scaling (Formula presented) has been imposed in Eq. (3), i.e., we implicitly assumed the absence of intermittency, which should be consistent with the outcomes of the theory
    • In order to guarantee the correct dimensionality, the Kolmogorov scaling (Formula presented) has been imposed in Eq. (3), i.e., we implicitly assumed the absence of intermittency, which should be consistent with the outcomes of the theory.
  • 18
    • 85036251195 scopus 로고    scopus 로고
    • G. Boffetta, M. Cencini, and J. Davoudi (unpublished)
    • G. Boffetta, M. Cencini, and J. Davoudi (unpublished).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.