Nonstationary Vortex Streets in Shear Flows

被引：2
作者：
Kalashnik, M. V. [1 ,2 ]
Chkhetiani, O. G. [1 ]
机构：
[1] Russian Acad Sci, Obukhov Inst Atmospher Phys, Moscow 109017, Russia
[2] NPO Taifun, Obninsk 249038, Russia
来源：
IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS | 2019年 / 55卷 / 06期
基金：
俄罗斯基础研究基金会; 俄罗斯科学基金会;
关键词：
vortex streets; hydrodynamic instability; shear flows; current function; horizontal shear; beta effect; periodic flows; free shear layer; DYNAMICS; PERTURBATIONS; MECHANISM; WAVES; WAKE;
D O I：
10.1134/S0001433819060057
中图分类号：
P4 [大气科学（气象学）];
学科分类号：
0706 ; 070601 ;
摘要：
Spatially periodic vortex systems that form due to unstable shear flows are called vortex streets. A number of exact and asymptotic solutions of two-dimensional hydrodynamic equations describing nonstationary vortex streets have been constructed. It is shown that the superposition of the flow with a constant horizontal shear and its perturbations in the form of a nonmodal wave provides an exact solution that describes a nonstationary vortex street with rotating elliptic current lines. The width of the zone occupied by such a vortex street has been determined. The equation of separatrix separating vortex cells with closed current lines from an external meandering flow has been obtained. The influence of the quasi-two-dimensional compressibility and beta effect on the dynamics of vortex streets has been studied based on the potential vorticity transport equation. The solutions describing the formation of vortex streets during the development of an unstable zonal periodic flow and a free shear layer have been constructed using a longwave approximation.
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收藏
页码：602 / 611
页数：10
相关论文
共 26 条
  • [11] New Class of Edge Baroclinic Waves and the Mechanism of Their Generation
    Kalashnik, M. V.
    Chkhetiani, O. G.
    Chagelishvili, G. D.
    [J]. IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2018, 54 (04) : 305 - 312
  • [12] Nonlinear dynamics of long-wave perturbations of the Kolmogorov flow for large Reynolds numbers
    Kalashnik, Maxim
    Kurgansky, Michael
    [J]. OCEAN DYNAMICS, 2018, 68 (08) : 1001 - 1012
  • [13] Linear dynamics of non-symmetric perturbations in geostrophic horizontal shear flows
    Kalashnik, MV
    Mamatsashvili, GR
    Chagelishvili, GD
    Lominadze, JG
    [J]. QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 2006, 132 (615) : 505 - 518
  • [14] Kochin N. E., 1963, THEORETICAL FLUID ME, V1
  • [15] Moist versus Dry Barotropic Instability in a Shallow-Water Model of the Atmosphere with Moist Convection
    Lambaerts, Julien
    Lapeyre, Guillaume
    Zeitlin, Vladimir
    [J]. JOURNAL OF THE ATMOSPHERIC SCIENCES, 2011, 68 (06) : 1234 - 1252
  • [16] LONG-WAVE INSTABILITY OF PERIODIC FLOWS AT LARGE REYNOLDS-NUMBERS
    LIBIN, A
    SIVASHINSKY, G
    LEVICH, E
    [J]. PHYSICS OF FLUIDS, 1987, 30 (10) : 2984 - 2986
  • [17] Mak Mankin., 2011, Atmospheric Dynamics
  • [18] Nezlin M. V., 1990, ROSSBY VORTICES HELI
  • [19] Generation of large-scale eddies and zonal winds in planetary atmospheres
    Onishchenko, G.
    Pokhotelov, A.
    Astafieva, N. M.
    [J]. PHYSICS-USPEKHI, 2008, 51 (06) : 577 - 589
  • [20] Palmen E., 1973, ATMOSPHERIC CIRCULAT
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