Predicting the outcome of inertial instability in ocean currents and eddies

预测洋流和涡流惯性不稳定的结果

基本信息

项目摘要

Inertial instability of a vortex can rapidly intensify radial velocity gradients, triggering an instability that then tears the vortex apart. Eventually the flow equilibrates as a set of new stable vortices. This process often proceeds through a strong turbulent phase that on the surface, might seem to preclude any possibility of predicting the final state. However, based on absolute angular momentum conservation, it is possible to deduce rules that show exactly how inertial instability acting alone would transform any unstable barotropic flow. Stabilization of inertial instability ultimately requires reducing potential vorticity to zero in the initially unstable region. Previous work has resulted in simple rules for angular momentum mixing which can be used to predict how an unstable barotropic vortex will evolve. This project will extend these results to: include the combined effects of inertial and barotropic instabilities, and to account for stratified flows. A method will be devised to predict the effect of the turbulent breakdown due to inertial instability and the subsequent production of meanders and vortices due to barotropic instability. The approaches will involve a new method in which small incremental changes in the velocity field are linked with changes in the shape of the isopycnals in a way that mimics the natural progression of the instability. The goal is to be able to predict the ultimate fate of any inertially unstable velocity profile, barotropic or baroclinic. This will include how many vortices will emerge from the instability, what their vorticity profiles will look like, how much energy they will carry away, and how much energy will be dissipated in the process. Intellectual Merit: This work will improve understanding of the role that inertial instability plays in production, transformation and maintenance of oceanic currents and eddies. The methods being developed here are new and fundamental. They should be applicable to any branch of rotating fluid dynamics. Broader Impacts: Results obtained through this research can have an important impact on the development of ocean models. Small-scale instabilities are not resolved in ocean models, but their role in developing and maintaining large-scale currents is very important. By studying these instabilities, their effects can be predicted, and could lead to parameterizations for ocean models. Improvement in ocean modeling can have an important impact on climate research because of the essential role that the ocean plays in controlling the climate.
涡流的惯性不稳定性可以迅速增强径向速度梯度,引发不稳定性,然后撕裂涡流。最终,流动平衡为一组新的稳定的旋涡。这个过程通常会经过一个强烈的湍流阶段,表面上看,似乎排除了预测最终状态的任何可能性。然而,根据绝对角动量守恒,我们可以推导出一些规则,精确地说明惯性不稳定性单独作用时如何改变任何不稳定的正压气流。惯性不稳定的稳定化最终需要在初始不稳定区域将位涡减小到零。以前的工作已经产生了角动量混合的简单规则,可以用来预测一个不稳定的正压涡旋将如何演变。这个项目将把这些结果扩展到:包括惯性和正压不稳定性的综合影响,并考虑分层流。 将设计一种方法来预测由于惯性不稳定引起的湍流破裂的影响以及随后由于正压不稳定引起的曲折和涡旋的产生。这些方法将涉及一种新的方法,其中速度场的小增量变化与等密度线形状的变化相联系,以模仿不稳定性的自然进展。其目标是能够预测任何惯性不稳定的正压或斜压速度剖面的最终命运。这将包括有多少涡将从不稳定中出现,它们的涡度分布将是什么样子,它们将带走多少能量,以及在这个过程中将耗散多少能量。智力优势:这项工作将增进对惯性不稳定性在洋流和涡流的产生、转变和维持方面所起作用的了解。这里开发的方法是新的且基本的。它们应该适用于旋转流体动力学的任何分支。更广泛的影响:通过这项研究获得的结果可以对海洋模型的发展产生重要影响。小尺度不稳定性在海洋模式中没有解决,但它们在发展和维持大尺度海流方面的作用非常重要。通过研究这些不稳定性,可以预测它们的影响,并可能导致海洋模型的参数化。由于海洋在控制气候方面起着至关重要的作用,海洋模拟的改进可以对气候研究产生重要影响。

项目成果

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George Carnevale其他文献

George Carnevale的其他文献

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{{ truncateString('George Carnevale', 18)}}的其他基金

Collaborative Research: Equilibration of Ocean Currents via Inertial Instability
合作研究:通过惯性不稳定性平衡洋流
  • 批准号:
    0726482
  • 财政年份:
    2007
  • 资助金额:
    $ 42.79万
  • 项目类别:
    Standard Grant
Collaborative Research: Inertially Unstable Currents and Internal Waves
合作研究:惯性不稳定电流和内波
  • 批准号:
    0525776
  • 财政年份:
    2005
  • 资助金额:
    $ 42.79万
  • 项目类别:
    Standard Grant
Collaborative Research: Inertially Unstable Currents and Internal Waves
合作研究:惯性不稳定电流和内波
  • 批准号:
    0129301
  • 财政年份:
    2002
  • 资助金额:
    $ 42.79万
  • 项目类别:
    Standard Grant
Stability of Circular Vortices
圆形涡旋的稳定性
  • 批准号:
    9121998
  • 财政年份:
    1992
  • 资助金额:
    $ 42.79万
  • 项目类别:
    Continuing Grant
Experiments and Numerical Studies of Coherent Structures
相干结构的实验和数值研究
  • 批准号:
    8911858
  • 财政年份:
    1990
  • 资助金额:
    $ 42.79万
  • 项目类别:
    Standard Grant
Coherent Structures in Geophysical Flow
地球物理流中的相干结构
  • 批准号:
    8600500
  • 财政年份:
    1986
  • 资助金额:
    $ 42.79万
  • 项目类别:
    Continuing Grant

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