Formation and temporal evolution of the Lamb-dipole

Formation and temporal evolution of the Lamb-dipole
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兰姆偶极子的形成和时间演化

DOI:
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发表时间:
1997
期刊:
影响因子:
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通讯作者:
J. Rasmussen
J. Rasmussen
中科院分区:
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文献类型:
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作者:
A. Nielsen;J. Rasmussen

文献摘要

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本文研究了二维流动中偶极涡结构的形成和动力学。通过二维Navier-Stokes方程的直接数值解,发现具有有限线性动量的局部化初始结构发展成偶极子。演化偶极子的详细结构取决于初始条件。然而,他们的演变的总属性是只有微弱的依赖于详细的结构,可以很好地描述了所谓的兰姆偶极子解决方案。兰姆偶极子的粘性衰减,导致膨胀和速度下降,是很好地描述了绝热理论。在膨胀过程中,偶极子被发现捕获流体,因为它的演变。
The formation and dynamics of dipolar vortex structures in two-dimensional flows are studied. Localized initial structures possessing a finite linear momentum are found to develop into dipoles by direct numerical solutions of the two-dimensional Navier-Stokes equations. The detailed structure of the evolving dipoles depend on the initial condition. However, the gross properties of their evolution are only weakly dependent on the detailed structure and can be well-described by the so-called Lamb-dipole solution. The viscous decay of the Lamb-dipole, leading to an expansion and a decreasing velocity, is well described by an adiabatic theory. During the expansion the dipole is found to trap fluid as it evolves.