Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications
Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications
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DOI：
10.1063/1.858329
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发表时间：
1992-03
影响因子：
4.6
通讯作者：
O. Boratav;R. Pelz;N. Zabusky
中科院分区：
文献类型：
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作者：
O. Boratav;R. Pelz;N. Zabusky
通过求解高粘性正则化的不可压Navier-Stokes方程，模拟了两个等强度正交偏移圆柱涡的三维时间演化。一个傅立叶伪谱方法与时间分裂积分方案用于解决方案。四个不同的雷诺数范围在690-2100之间的运行进行，每个与963配置点的分辨率。重要的物理过程的顺序和演变的本地和全球的量，如涡度，速度和均方应变率。发现最大涡度的增长率至多为指数增长。研究了雷诺数对重联时间尺度、涡量增长率和达到最大涡量的时间的依赖性，并对本结果与Saffman基本上二维模型预测之间的差异进行了讨论和说明。给出了特征值α、β、γ和…
The three‐dimensional time evolution of two orthogonally offset cylindrical vortices of equal strength is simulated by solving the hyperviscosity‐regularized incompressible Navier–Stokes equations. A Fourier pseudospectral method with a time‐split integration scheme is used for the solution. Four runs with different Reynolds numbers ranging between 690–2100 are performed, each with a resolution of 963 collocation points. The sequence of important physical processes and the evolution of local and global quantities such as vorticity, velocity, and mean‐square strain rate are presented. It is found that the growth rate of the maximum vorticity is at most exponential. The Reynolds number dependence of the time scale of reconnection, the vorticity growth rate, and the time at which the maximum vorticity is attained are examined and differences between the present results and Saffman’s essentially two‐dimensional model predictions are encountered and elucidated. The distributions of the eigenvalues α, β, γ and ...