The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow
The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow
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一些 Batchelor 流的计算：Sadovskii 涡流和旋转角流
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
S. Tanveer
中科院分区：
文献类型：
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作者：
D. W. Moore;P. Saffman;S. Tanveer
用数值方法计算了以旋涡片为界的具有旋涡斑块的稳定、无粘、不可压缩的二维流（Batchelor流）。考虑了两种特殊情况：平面壁上的涡（萨多夫斯基涡）和直角角上的涡。导出了边界涡片形状的非线性积分方程，并对其进行了数值求解。采用两种不同的配方来检验结果。Sadovskii[苹果公司]先前的研究结果。数学。机械35,773(1971)]和Chernyshenko（皇家飞机建立图书馆翻译报告编号2133,1983）的具体参数值被确认。只有对称解是存在的。
Steady, inviscid, incompressible, two-dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right-angled corner. Nonlinear integral equations are derived for the shape of the bounding vortex sheet which are solved numerically. Two different formulations are employed to check the results. Previous results by Sadovskii [Appl. Math. Mech. 35, 773 (1971)] and Chernyshenko (Royal Aircraft Establishment library translations Report No. 2133, 1983) for specific values of the parameters are confirmed. Only symmetrical solutions are found to exist.