Navier—Stokes calculations for vortex rings in an unbounded domain
Navier—Stokes calculations for vortex rings in an unbounded domain
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纳维 - 无界域中涡环的斯托克斯计算
DOI：
10.1016/0045-7930(93)90027-7
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
C. H. Liu
中科院分区：
文献类型：
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作者：
K. Ishii;K. Kuwahara;C. H. Liu
针对三维有界涡度场开发了涡度势法的计算代码。改进了代码中对矢量势的边界数据的评估，使得数值解能够在无界域中对高阶进行模拟。使用该代码研究了两个涡环和椭圆环的时间演化。成功捕获了涡环的切割和连接现象。将结果与渐近理论和实验结果进行了比较。他们还强调需要进行额外的理论和数值研究。
A computational code for the vorticity—potential method is developed for a three-dimensional bounded vorticity field. The evaluation of the boundary data for the vector potential in the code is improved so that the numerical solution simulates that in an unbounded domain to a high order. The time evolution of two vortex rings and that of an elliptic ring are investigated with this code. The cut-and-connect phenomena of vortex rings are successfully captured. The results are compared with those of asymptotic theory and the experiment. They also highlight the need for additional theoretical and numerical investigations.