Finite area vortex motion on a sphere with impenetrable boundaries
Finite area vortex motion on a sphere with impenetrable boundaries
复制标题
具有不可穿透边界的球体上的有限面积涡运动
DOI：
10.1063/1.3062843
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发表时间：
2009
影响因子：
4.6
通讯作者：
N. R. McDonald
中科院分区：
文献类型：
--
作者：
R. Nelson;N. R. McDonald
基于保角变换和轮廓动力学的数值方法，本文提出了一种计算有限面积常涡斑在具有不可穿透边界的球体上运动的方法。考虑了几个不可穿透边界的例子，包括球冠、纵向楔形、半纵向楔形和薄屏障。有限区域补丁运动相比，精确的点涡轨迹和良好的协议之间的点涡轨迹和有限区域补丁的质心运动时，补丁保持接近圆形。更奇异的运动的有限面积补丁，特别是在薄障碍的情况下，然后检查。在背景流的情况下，由于位于障碍物上的偶极子存在，涡流路径被推到障碍物边缘之一附近，导致涡流脱落和可能的分裂，在某些情况下，导致准定常捕获涡。本文给出了薄势垒中差距之间的涡平衡族。
Techniques based on conformal mapping and the numerical method of contour dynamics are presented for computing the motion of a finite area patch of constant vorticity on a sphere with impenetrable boundaries. Several examples of impenetrable boundaries are considered including a spherical cap, longitudinal wedge, half-longitudinal wedge, and a thin barrier. Finite area patch motion is compared to exact point vortex trajectories and good agreement is found between the point vortex trajectories and the centroid motion of finite area patches when the patch remains close to circular. More exotic motion of the finite area patches, particularly in the thin barrier case, is then examined. In the case when background flow owing to a dipole located on the barrier is present, the vortex path is pushed close to one of the barrier edges, leading to vortex shedding and possible splitting and, in certain cases, to a quasisteady trapped vortex. A family of vortex equilibria bounded between the gap in the thin barrier is...
复杂域中的轮廓动力学
影响因子：
3.7
作者：
CROWDY D
通讯作者：
CROWDY D
影响因子：
3.7
作者：
D. Crowdy;Jonathan S. Marshall
通讯作者：
D. Crowdy;Jonathan S. Marshall