Vortex Dynamics and Turbulence

Vortex Dynamics and Turbulence
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涡动力学和湍流

DOI:
10.1007/978-1-4615-3750-2_18
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发表时间:
1991
影响因子:
0.7
通讯作者:
P. Saffman
P. Saffman
中科院分区:
数学3区
文献类型:
--
作者:
P. Saffman

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我们将涡旋动力学定义为研究方程的层流(即非湍流)解 $$\frac{{\Partial\omega}}{{\Partial t}}+u\Bullet\nabla\omega=-\omega\Bullet\nabla u+\Left({v{\nabla^2}\omega}\right)$$ (1) $$u=cur{L^{-1}}\omega$$ (2) 其中ω是紧凑的。这也暗示通常v≪1。
We shall define Vortex Dynamics to be the study of laminar (i.e. non turbulent) solutions of the equations $$ \frac{{\partial \omega }}{{\partial t}} + u \bullet \nabla \omega = - \omega \bullet \nabla u + \left( {v{\nabla ^2}\omega } \right) $$ (1) $$ u = cur{l^{ - 1}}\omega $$ (2) for which ω is compact. It is also implied that usually v ≪ 1.