Infinite-dimensional turbulence
Infinite-dimensional turbulence
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无限维湍流
DOI：
10.1088/0305-4470/11/1/020
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发表时间：
1978
期刊：
影响因子：
--
通讯作者：
H. Rose
中科院分区：
文献类型：
--
作者：
J. Fournier;U. Frisch;H. Rose
作者研究了无限雷诺数均匀各向同性湍流在空间维度d到无穷寻找可能的简化。计算是使用短时展开和重整化展开完成的。从d到无穷，非线性相互作用局限于具有一个直角的波矢量的三联征。对于所有阶的扰动，每质量的动能谱有一个有限的极限，只要使用重新标度的时间tau =t/平方根d。证明了不可压缩性约束在无限维空间中不会消失。
The authors have investigated infinite Reynolds number homogeneous isotropic turbulence for space dimensions d to infinity looking for possible simplifications. The calculations were done using both short-time expansions and renormalised expansions. For d to infinity non-linear interactions become confined to triads of wavevectors having one right angle. To all orders in perturbation the spectrum of the kinetic energy per mass has a finite limit provided a rescaled time tau =t/ square root d is used. It is shown that the incompressibility constraint does not drop out in infinite dimensions.