A local analysis of the axisymmetric Navier–Stokes flow near a saddle point and no-slip flat boundary
A local analysis of the axisymmetric Navier–Stokes flow near a saddle point and no-slip flat boundary
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鞍点和无滑移平坦边界附近轴对称纳维斯托克斯流的局部分析
DOI：
10.1017/jfm.2016.174
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发表时间：
2016
影响因子：
3.7
通讯作者：
T. Yoneda
中科院分区：
文献类型：
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作者：
P.-Y. Hsu;H. Notsu;T. Yoneda
龙卷风是一种猛烈的气流现象，在世界上许多地方都有发生。有许多研究方法旨在减少龙卷风造成的生命损失和物质损失。一种有效的方法是数值模拟，如石原等人（J. Wind engineering Ind. Aerodyn.）。， vol. 99, 2011, pp. 239-248)。纳维-斯托克斯流的旋流结构对龙卷风的数学分析和数值模拟具有重要意义。在本文中，我们试图澄清旋流结构。更精确地说，我们对无滑移平坦边界的轴对称Navier-Stokes流动进行了数值计算。对有旋流和无旋流的双曲流进行了比较，发现只有在有旋流的情况下才会出现以下现象：在有旋流的情况下，当时间接近拐点时，在对称轴附近得到速度最大的点与边界之间的距离。
Tornadoes are one type of violent flow phenomenon and occur in many places in the world. There are many research methods that aim to reduce the loss of human lives and material damage caused by tornadoes. One effective method is numerical simulation such as that in Ishihara et al. (J. Wind Engng Ind. Aerodyn., vol. 99, 2011, pp. 239–248). The swirling structure of the Navier–Stokes flow is significant for both the mathematical analysis and numerical simulations of tornadoes. In this paper, we try to clarify the swirling structure. More precisely, we performed numerical computations on axisymmetric Navier–Stokes flows with a no-slip flat boundary. We compared a hyperbolic flow with swirl and one without swirl, and observed that the following phenomenon occurs only in the swirl case: the distance between the point with the maximum magnitude of velocity was obtained near the axis of symmetry and the boundary when the time was close to the turning point in the swirl case.
3D Navier-Stokes 方程沿流线可能存在的孤立爆炸现象及规律判据
DOI：
--
发表时间：
2012
期刊：
影响因子：
--
作者：
C. Chan;Tsuyoshi Yoneda
通讯作者：
Tsuyoshi Yoneda
具有二次环流的龙卷风状涡旋的三维不稳定性
影响因子：
3.7
作者：
D. Nolan
通讯作者：
D. Nolan
无滑移边界条件下平面纳维-斯托克斯方程的刘维尔定理及其在几何正则准则中的应用
影响因子：
1.9
作者：
Y. Giga;P.-Y. Hsu;Y. Maekawa
通讯作者：
Y. Maekawa