Field theory model for two-dimensional turbulence: Vorticity-based approach

被引：0
|
作者：
Altaisky, MV [1 ]
Bowman, JC
机构：
[1] Joint Inst Nucl Res, Dubna 141980, Russia
[2] Space Res Inst, Moscow 117997, Russia
[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
ACTA PHYSICA SLOVACA | 2002年 / 52卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Renormalization group analysis is applied to the two-dimensional Navier-Stokes vorticity equation driven by a Gaussian random stirring. The energy-range spectrum C-Kepsilon (2/3)k(5/3) obtained in the one-loop approximation coincides with earlier double epsilon expansion results, with C-K = 3.634. This result is in good agreement with the value C-K = 3.35 obtained by direct numerical simulation of the two-dimensional turbulent energy cascade using the pseudospectral method.
引用
收藏
页码：553 / 558
页数：6
相关论文
共 50 条
  • [1] Critical behavior of vorticity in two-dimensional turbulence
    Boyer, D
    [J]. PHYSICAL REVIEW E, 1999, 60 (06): : 6769 - 6775
  • [2] Two-dimensional turbulence: A novel approach via logarithmic conformal field theory
    Flohr, MAI
    [J]. NUCLEAR PHYSICS B, 1996, 482 (03) : 567 - 578
  • [3] Field theory of the inverse cascade in two-dimensional turbulence
    Mayo, JR
    [J]. PHYSICAL REVIEW E, 2005, 72 (05)
  • [4] Hilbert statistics of vorticity scaling in two-dimensional turbulence
    Tan, H. S.
    Huang, Y. X.
    Meng, Jianping
    [J]. PHYSICS OF FLUIDS, 2014, 26 (01)
  • [5] Vorticity statistics in the direct cascade of two-dimensional turbulence
    Falkovich, Gregory
    Lebedev, Vladimir
    [J]. PHYSICAL REVIEW E, 2011, 83 (04):
  • [6] Stationary spectrum of vorticity cascade in two-dimensional turbulence
    Pasquero, C
    Falkovich, G
    [J]. PHYSICAL REVIEW E, 2002, 65 (05):
  • [7] Fourier signature of filamentary vorticity structures in two-dimensional turbulence
    Reynolds-Barredo, J. M.
    Newman, D. E.
    Terry, P. W.
    Sanchez, R.
    [J]. EPL, 2016, 115 (03)
  • [8] VORTICITY AND PASSIVE-SCALAR DYNAMICS IN TWO-DIMENSIONAL TURBULENCE
    BABIANO, A
    BASDEVANT, C
    LEGRAS, B
    SADOURNY, R
    [J]. JOURNAL OF FLUID MECHANICS, 1987, 183 : 379 - 397
  • [9] Sharp vorticity gradients in two-dimensional turbulence and the energy spectrum
    E. A. Kuznetsov
    V. Naulin
    A. H. Nielsen
    J. Juul Rasmussen
    [J]. Theoretical and Computational Fluid Dynamics, 2010, 24 : 253 - 258
  • [10] Vorticity filaments in two-dimensional turbulence: creation, stability and effect
    Kevlahan, NKR
    Farge, M
    [J]. JOURNAL OF FLUID MECHANICS, 1997, 346 : 49 - 76
12345