Explosive instability of geostrophic vortices. Part 1: baroclinic instability

被引:0
|
作者
Xavier Carton
Glenn R. Flierl
Xavier Perrot
Thomas Meunier
Mikhail A. Sokolovskiy
机构
[1] LPO,
[2] UMR 6523,undefined
[3] UEB/UBO,undefined
[4] LPO,undefined
[5] UEB/UBO,undefined
[6] EAPS,undefined
[7] MIT,undefined
[8] Institute for Water Problems of the RAS,undefined
关键词
Quasi-geostrophic equations; Inviscid flows; Vortex stability; Normal or singular modes; Parametric resonance; 92.05.Bc; 92.10.ak; 92.10.ei; 47.15; 47.20.Cq;
D O I
暂无
中图分类号
学科分类号
摘要
In a quasi-geostrophic model, we study the baroclinic instability of a two-layer vortex. The singular unstable modes for potential vorticity anomalies are compared with the classical normal modes. Short-time singular modes are explosively unstable and, at short times, depend only on the baroclinic component of the flow. As time progresses, they evolve towards the normal modes and their sensitivity to flow parameters is explored. Asymptotic solutions are provided.
引用
收藏
页码:125 / 130
页数:5
相关论文
共 50 条
  • [1] Explosive instability of geostrophic vortices. Part 1: baroclinic instability
    Carton, Xavier
    Flierl, Glenn R.
    Perrot, Xavier
    Meunier, Thomas
    Sokolovskiy, Mikhail A.
    THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2010, 24 (1-4) : 125 - 130
  • [2] Explosive instability of geostrophic vortices. Part 2: parametric instability
    Xavier Carton
    Thomas Meunier
    Glenn R. Flierl
    Xavier Perrot
    Mikhail A. Sokolovskiy
    Theoretical and Computational Fluid Dynamics, 2010, 24 : 131 - 135
  • [3] Explosive instability of geostrophic vortices. Part 2: parametric instability
    Carton, Xavier
    Meunier, Thomas
    Flierl, Glenn R.
    Perrot, Xavier
    Sokolovskiy, Mikhail A.
    THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2010, 24 (1-4) : 131 - 135
  • [4] On the instability of geostrophic vortices
    Flierl, Glenn R.
    Journal of Fluid Mechanics, 1988, 197 : 349 - 388
  • [5] ON THE INSTABILITY OF GEOSTROPHIC VORTICES
    FLIERL, GR
    JOURNAL OF FLUID MECHANICS, 1988, 197 : 349 - 388
  • [6] BAROCLINIC INSTABILITY AND GEOSTROPHIC TURBULENCE
    SALMON, R
    GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1980, 15 (3-4): : 167 - 211
  • [7] Explosive Baroclinic Instability
    Fleming, Rex J.
    JOURNAL OF THE ATMOSPHERIC SCIENCES, 2014, 71 (06) : 2155 - 2168
  • [8] Baroclinic instability in nearly geostrophic models
    Smith, KS
    Vallis, GK
    11TH CONFERENCE ON ATMOSPHERIC AND OCEANIC FLUID DYNAMICS, 1997, : 77 - 81
  • [9] COLLAPSE OF GEOSTROPHIC VORTICES.
    Dobritsyn, A.A.
    Sedov, Yu.B.
    Izvestia Akademii nauk SSSR. Fizika atmosfery i okeana, 1987, 23 (11): : 1142 - 1150
  • [10] EXPLOSIVE INSTABILITY OF BAROCLINIC WAVES
    MERKINE, L
    SHTILMAN, L
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 395 (1809) : 313 - 339