论文标题
在存在固定涡旋的情况下，在自由涡流对的动力学上
On the dynamics of a free vortex pair in the presence of a fixed vortex
论文作者
论文摘要
研究了固定点涡流的速度场中约束三涡流问题的动力学，这是一个自由点涡流对。使用坐标转换简化了基础动力系统，并基于角脉冲的常数的零和非零值分类为两种情况。对于每种情况，在转化的平面中分析研究了涡流运动的动力学特征，以便完全对涡流运动进行分类并了解涡流间距离的界限和周期性。理论预测还通过数值验证，并在各种初始条件和循环中进行了验证。
The dynamics of a constrained three-vortex problem, a free point vortex pair in the velocity field of a fixed point vortex, is investigated. The underlying dynamical system is simplified using a coordinate transformation and categorized into two cases based on the zero and non-zero values of the constant of angular impulse. For each case, dynamical features of the vortex motion are studied analytically in the transformed plane, in order to completely classify the vortex motions and to understand the boundedness and periodicity of the inter-vortex distances. The theoretical predictions are also verified numerically and illustrated for various sets of initial conditions and circulations.
