MOTION OF THREE-DIMENSIONAL VORTEX FILAMENT AND PARTICLE TRANSPORT
MOTION OF THREE-DIMENSIONAL VORTEX FILAMENT AND PARTICLE TRANSPORT
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DOI：
10.1007/1-4020-4181-0_32
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Y. Kimura
中科院分区：
文献类型：
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作者：
Y. Kimura
本文研究了三维涡丝平流作用下流体质点的运动。作为圆形涡环的延伸，它提供了涡输运流体的基础，两种类型的运动，椭圆涡环和涡孤子被认为是。对于椭圆涡环，当涡环的长宽比接近于1时，局部诱导方程（LIE）可以正确地描述涡环的运动。利用LIE的解，模拟了圆涡环情况下，分别对应于薄涡和厚涡的两种不同诱导常数下的粒子运动。提出了椭圆涡环有限输运体积计算的内在困难。对于涡旋孤子，它表明，粒子运动被限制在一个环面附近的扭结的孤子的形状和强度的特征参数的范围很广。
AbstractMotions of fluid particles advected by a 3D vortex filament are studied. As extensions of a circular vortex ring, which provides a basis of fluid transport by vortex, two types of motions, elliptic vortex ring and vortex soliton are considered. For an elliptic vortex ring, it is verified that the local induction equation (LIE) describes its motion properly if the aspect ratio is close to 1. Using the solution of LIE, particle motions are simulated for two different induction constants corresponding to a thin and a fat vortex for the circular vortex ring case, respectively. Intrinsic difficulty for calculating the finite transported volume by an elliptic vortex ring is suggested. For a vortex soliton, it is demonstrated that particle motions are confined in a torus near the kink of a soliton for a wide range of parameters that characterize the shape and the strength of the vortex soliton.