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Double-Diffusive Recipes. Part I: Large-Scale Dynamics of Thermohaline Staircases

机译:双扩散食谱。第一部分:热力线楼梯的大规模动力学

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摘要

Three-dimensional dynamics of thermohaline staircases are investigated using a series of basin-scale staircase-resolving numerical simulations. The computational domain and forcing fields are chosen to reflect the size and structure of the North Atlantic subtropical thermocline. Salt-finger transport is parameterized using the flux-gradient formulation based on a suite of recent direct numerical simulations. Analysis of the spontaneous generation of thermohaline staircases suggests that thermohaline layering is a product of the gamma instability, associated with the variation of the flux ratio γ with the density ratio R[subscript p] . After their formation, numerical staircases undergo a series of merging events, which systematically increase the size of layers. Ultimately, the system evolves into a steady equilibrium state with pronounced layers 20–50 m thick. The size of the region occupied by thermohaline staircases is controlled by the competition between turbulent mixing and double diffusion. Assuming, in accordance with observations, that staircases form when the density ratio is less than the critical value of R[subscript cr] ≈ 1.7, the authors arrive at an indirect estimate of the characteristic turbulent diffusivity in the subtropical thermocline.
机译:使用一系列盆地尺度的阶梯解析数值模拟研究了热盐阶梯的三维动力学。选择计算域和强迫场以反映北大西洋副热带高压跃层的大小和结构。基于最近的一组直接数值模拟,使用通量梯度公式对盐指运输进行了参数化。对热盐阶梯自发生成的分析表明,热盐分层是伽玛不稳定性的产物,它与通量比γ随着密度比R [下标p]的变化有关。数字楼梯形成后,会经历一系列合并事件,从而系统地增加图层大小。最终,系统演化为稳定的平衡状态,其显着层厚度为20-50 m。由盐雾阶梯占据的区域的大小由湍流混合和双重扩散之间的竞争控制。假设根据观察结果,当密度比小于R [下标cr]≈1.7的临界值时,会形成阶梯,因此作者间接估计了亚热带温跃层的特征湍流扩散率。

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