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Connection between encounter volume and diffusivity in geophysical flows

机译:地球物理流中遇到体积和扩散率之间的联系

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Trajectory encounter volume – the volume of fluid that passes close to a reference fluid parcel over some time interval – has been recently introduced as a measure of mixing potential of a flow. Diffusivity is the most commonly used characteristic of turbulent diffusion. We derive the analytical relationship between the encounter volume and diffusivity under the assumption of an isotropic random walk, i.e., diffusive motion, in one and two dimensions. We apply the derived formulas to produce maps of encounter volume and the corresponding diffusivity in the Gulf Stream region of the North Atlantic based on satellite altimetry, and discuss the mixing properties of Gulf Stream rings. Advantages offered by the derived formula for estimating diffusivity from oceanographic data are discussed, as well as applications to other disciplines.
机译:最近引入了轨迹遇到体积(在某个时间间隔内接近参考流体小包的流体体积),以度量流的混合势。扩散性是湍流扩散最常用的特征。我们在一维和二维各向同性随机游走即扩散运动的假设下得出相遇体积与扩散率之间的解析关系。我们基于卫星测高法,运用推导的公式在北大西洋的墨西哥湾流地区产生相遇量和相应扩散率的图,并讨论了墨西哥湾流环的混合特性。讨论了派生公式提供的从海洋数据估计扩散率的优势,以及在其他学科中的应用。

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