二维矢量场周期轨道高效提取方法

Efficient Extraction of Periodic Orbits in Two-Dimensional Vector Field

针对现有周期轨道提取效率较低的问题,提出了一种高效提取周期轨道的方法.在网格环方法基础上,通过减少可能生成封闭流线的候选种子点数目,有效地缩短备选流线的生成时间;然后根据流线的不相交性,进一步减少备选流线周围需要测试的网格点数目,从而有效地提高周期轨道提取的效率.在Windows64位操作系统,i5-2.20GHz CPU,4 GB内存的PC机上对范德波尔函数解析数据和实测湍流数据进行了实验,结果表明,与网格环方法相比,该方法可以节省90%以上的计算时间.

In order to improve the efficiency of periodic orbit extraction,this paper proposes an efficient method for periodic orbit extraction in 2D.Based on the cell cycle method,this paper reduces the generation time of the candidate streamlines by reducing the number of candidate seed points that may generate closed streamlines.Then the efficiency of the periodic orbit extraction is further improved by reducing the number of grid points needed to be tested around the candidate streamlines according to the nature that two streamlines cannot intersect with each other.The analytical data of van der Pol’s equation and the measured turbulence data are tested on the Windows 64-bit operating system,i5-2.20 GHz CPU and 4GB memory PC.The experimental results show that the proposed method can save more than 90%computing time compared with the cell cycle method.