Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion
复制标题
涡丝和涡片运动的 Euler-alpha 和涡斑正则化
DOI：
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发表时间：
2006
影响因子：
3.7
通讯作者：
V. Putkaradze
中科院分区：
文献类型：
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作者：
Darryl D. Holm;M. Nitsche;V. Putkaradze
欧拉模型和涡团模型是不可压理想流体流动的两种不同的正则化形式。这里，正则化是一种平滑操作，它以比L^2$更强的范数控制流体速度。欧拉- α模型是拉格朗日平均纳维-斯托克斯- α湍流模型的无粘版本。引入旋涡团模型对旋涡流动进行正则化。本文在一个总体框架下给出了这两种模型，并比较了应用于平面涡丝和轴对称涡片的结果。在一定程度上，欧拉- α模型比涡团模型更接近非正则化流动。讨论了导致圆涡丝运动、涡片线性稳定特性和螺旋涡片卷起的核心动力学的差异。
The Euler-alpha and the vortex blob model are two different regularizations of incom- pressible ideal fluid flow. Here, a regularization is a smoothing operation which controls the fluid velocity in a stronger norm than $L^2$. The Euler-alpha model is the inviscid version of the Lagrangian averaged Navier–Stokes-alpha turbulence model. The vortex blob model was introduced to regularize vortex flows. This paper presents both models within one general framework, and compares the results when applied to planar and axisymmetric vortex filaments and sheets. By certain measures, the Euler-alpha model is closer to the unregularized flow than the vortex blob model. The differences that result in circular vortex filament motion, vortex sheet linear stability properties, and core dynamics of spiral vortex sheet roll-up are discussed.