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Nonlinear Dynamics of Two Western Boundary Currents Colliding at a Gap

机译：两个西方边界流在一个间隙碰撞的非线性动力学

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摘要

The nonlinear collision of two western boundary currents (WBCs) of equal transport at a gap of the western boundary is studied using a 1.5-layer reduced-gravity quasigeostrophic ocean model. It is found that, when the gap (of width 2a) is narrow, a ≤ 7.3L_M (L_M the Munk thickness), neither of the WBCs can penetrate into the western basin because of the restriction of the viscous force. When 7.3L_M 9.6L_M, no steady choking state is found. Instead, the WBCs have only two equilibrium states: the penetrating and the periodic eddy shedding states. A Hopf bifurcation is found for a > 9.0L_M. The Reynolds number (Re) of the Hopf bifurcation is sensitive to the magnitude of γ(a/L_M) and the baroclinic deformation radius, being small for larger y or deformation radius. In addition, a reverse Hopf bifurcations is identified in the decreased Re experiments, occurring at a smaller Re than that of the Hopf bifurcation. The Re of the reverse Hopf bifurcation is not sensitive to the magnitude of the baroclinic deformation radius. Hysteresis behavior of the WBCs is found for a > 9.0L_M, because of the existence of the Hopf and reverse Hopf bifurcations. In between them, steady penetrating or choking states coexist with eddy-shedding states. The steady states are found to be sensitive to perturbations of relative vorticity and can transit to periodic eddy-shedding states at the forcing of a mesoscale eddy.
机译：使用1.5层低重力拟地转海洋模型研究了两个等速迁移的西边界流（WBC）的非线性碰撞。结果发现，当间隙（宽度2a）狭窄时，a≤7.3L_M（蒙克厚度L_M），由于粘性力的限制，任何一个白细胞都不能渗入西部盆地。当7.3L_M <9.0L_M时，两个白细胞都渗入西部盆地以进行小型运输，而阻塞则进行大型运输。当9.0L_M≤a≤9.6L_M时，两个白细胞渗透以进行小规模运输，cho塞以进行中间运输，并定期散开涡流以进行大运输。当a> 9.6L_M时，找不到稳定的扼流状态。相反，白细胞只有两个平衡状态：渗透状态和周期性涡流脱落状态。找到大于9​​.0L_M的Hopf分叉。 Hopf分叉的雷诺数（Re）对γ（a / L_M）的大小和斜压变形半径敏感，对于较大的y或变形半径，该值较小。此外，在减少的Re实验中鉴定出反向Hopf分叉，发生的Re小于Hopf分叉的Re。反向霍普夫分叉的Re对斜压变形半径的大小不敏感。由于存在Hopf和反向Hopf分叉，发现WBC的滞后行为大于9.0L_M。在它们之间，稳定的渗透或窒息状态与涡流脱落状态共存。发现稳态对相对涡度的扰动敏感，并且在中尺度涡旋的强迫下可以转变为周期性涡流脱落状态。

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  • 来源
    《Journal of Physical Oceanography》 |2012年第11期|2030-2040|共11页
  • 作者

    Zheng Wang; Dongliang Yuan;

  • 作者单位

    Key Laboratory of Ocean Circulation and Waves, and Institute of Oceanology, Chinese Academy of Sciences, Qingdao, China;

    Key Laboratory of Ocean Circulation and Waves (KLOCAW) and Institute of Oceanology, Chinese Academy of Sciences, Qingdao, China;

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