多圈涡旋等值线动力学的研究

CONTOUR DYNAMICS FOR THE MOTION OF VORTICES WITH SEVERAL CLOSED CONTOURS

  • 摘要: 将单圈涡旋等值线动力学推广到多圈涡旋的等值线动力学。在等值线动力学的框架内,实施了6组计算。结果显示出涡旋移行过程中逆时针打转的现象,该现象有清楚的前兆可寻。讨论了涡旋松紧程度对涡旋移向的影响以及涡旋非对称结构与涡旋移速之间的联系。这些结果与以往数值试验或动力学分析的结果较为一致。

     

    Abstract: We present the contour dynamics for the motion of vortices with several closed contours influenced by the Colioris force, by which six numerical computations are performed. The phenomenon of the counterclock-wise loop of a moving vortex is clearly shown, and the changing asymmetry with time may serve as a precursor for this phenomenon. Meanwhile, we also discuss the dependence of the vortex shift upon its tight-broad distribution, and the dependence of the westward component of the vortex motion upon its asymmetric structure. The results are in the main consist with those of the previous analytical works and numerical experiments.

     

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