A moment model with variable length scale for the motion of a vortex pair in two-dimensional incompressible flows
A moment model with variable length scale for the motion of a vortex pair in two-dimensional incompressible flows
复制标题
二维不可压缩流中涡对运动的变长度矩模型
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
T. Saito
中科院分区：
文献类型：
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作者：
Y. Matsumoto;K. Ueno;T. Saito
本文提出了一个二维无粘流中涡对运动的简单模型。在这个模型中，涡对的运动由一组关于偶极矩、长度尺度和质心位置的常微分方程表示。长度尺度是正涡和负涡对之间的距离。在较宽的尺度范围内，引入了涡对的自推进速度。如果背景流是位置的线性函数，则模型的偶极矩和长度尺度是精确的。该模型适用于分离涡对，但不适用于非对称变形涡对。
A simple model for the motion of a vortex pair in two-dimensional inviscid flows is presented. In this model the motion of the vortex pair is expressed by a set of ordinary differential equations for the dipole moment, the length scale, and the centroid position. The length scale is the distance between the positive vortex and the negative vortex in the pair. A self-propelling velocity of the model vortex pair is introduced in response to a wide range of the length scale. If a background flow is a linear function of the position, the dipole moment and the length scale of the model are exact. This model works well for a separated vortex pair, although it is not applicable to an asymmetrically deformed vortex pair.