On the local topology evolution of a high‐symmetry flow
On the local topology evolution of a high‐symmetry flow
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高对称流的局部拓扑演化
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
R. Pelz
中科院分区：
文献类型：
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作者：
O. Boratav;R. Pelz
研究了雷诺数（=1/ν）为1000的高对称、高分辨率（有效最大分辨率为10243个网格点，最大波数为341）不可压缩流动模拟的局部拓扑演化。速度梯度张量Aij、熵、ΩijΩij和均方应变率SijSij的Q-R不变量在局部最大涡度急剧增加的区间内计算。所有的分析计算都是在z=0平面上进行的，在这个平面上涡度和应变在演化过程中最大。在Q-R平面上，大多数的配点都向右下角演化，在这个区域，应变占主导地位，而涡量占主导地位。在0平面上计算压力Hessian张量分量。我们发现，在沿相反符号涡旋分离的边界上，应变非常大但没有涡度的点具有对角压力Hessian张量。讨论了这样的黑森张量形式是如何产生s的。
The local topology evolution of a high‐symmetry, high resolution (effective maximum resolution of 10243 grid points, maximum wave number of 341) incompressible flow simulation having a Reynolds number (=1/ν) of 1000 is investigated. The Q–R invariants of the velocity gradient tensor Aij, the enstrophy, ΩijΩij and the mean‐square strain rate SijSij are computed at an interval when the local maximum vorticity increases drastically. All the analysis of the computations are done on the z=0 plane, where the maximum vorticity and strain are located during the evolution. In the Q–R plane, most of the collocation points evolve towards the lower right corner, a region where strain dominates over vorticity. The pressure Hessian tensor components are computed in the 0 planes. Points with very large strain and no vorticity, which are located along the boundaries separating oppositely signed vortices, are found to have a diagonal pressure Hessian tensor. It is discussed how such a Hessian tensor form can result in a s...