Statistics of the System of Line Vortices
Statistics of the System of Line Vortices
复制标题
线涡系统的统计
DOI：
10.1143/jpsj.39.1395
复制
发表时间：
1975
影响因子：
1.7
通讯作者：
S. Kida
中科院分区：
文献类型：
--
作者：
S. Kida
将由大量线涡组成的系统的统计作为极大雷诺数下的二维湍流模型进行研究。涡旋系统的状态表示为由涡旋 ( x , y ) 坐标组成的相空间中的点。涡旋的空间分布对应于相空间中的有限体积。相空间中具有最大体积的分布被识别为最可能的分布。针对系统运动常数的各种值计算轴对称分布。使用数百个涡流进行了数值实验，发现数值实验得到的分布与最可能的分布非常吻合。
The statistics of the system composed of a large number of line vortices is studied as a model of two-dimensional turbulence at extremely large Reynolds numbers. The state of the vortex system is expressed as a point in the phase space composed of the ( x , y ) coordinates of the vortices. A spatial distribution of vortices corresponds to a finite volume in the phase space. The distribution which has the maximum volume in the phase space is identified with the most probable one. The axisymmetric distributions are calculated for various values of the constants of motion of the system. Numerical experiments using some hundreds of vortices are carried out and it is found that the distributions obtained by the numerical experiments are in good agreement with the most probable distributions.