Renormalization theory for eddy diffusivity in turbulent transport.

Renormalization theory for eddy diffusivity in turbulent transport.
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湍流传输中涡扩散率的重正化理论。

DOI:
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发表时间:
1992
影响因子:
8.6
通讯作者:
A. Majda
A. Majda
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Marco Avellaneda;A. Majda

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我们研究了紊流速度场中被动标量输运的涡-扩散方程的推导。我们的主要论点是,在长时间-大距离极限下,根据子网格速度的统计性质,涡流扩散方程可以采取非常不同的形式,并且这些方程非常敏感地依赖于空间和时间速度波动之间的相互作用。这种交叉可以用包含两个相关统计参数的“相位图”来表示。
We examine the derivation of eddy-diffusivity equations for transport of passive scalars in a turbulent velocity field. Our main contention is that, in the long-time-large-distance limit, the eddy-diffusivity equations can take very different forms according fo the statistical properties of the subgrid velocity, and that these equations depend very sensitively on the interplay between spatial and temporal velocity fluctuations. Such crossovers can be represented in a «phase diagram» involving two relevant statistical parameters.