IMECH-IR  > 力学所知识产出(1956-2008)
Possible statistics of two coupled random fields: Application to passive scalar
Dubrulle B; He GW(何国威)
2001
Source PublicationDubrulle B; 何国威.Possible statistics of two coupled random fields: Application to passive scalar:2001.
AbstractWe use the relativity postulate of scale invariance to derive the similarity transformations between two coupled scale-invariant random fields at different scales. We find the equations leading to the scaling exponents. This formulation is applied to the case of passive scalars advected i) by a random Gaussian velocity field; and ii) by a turbulent velocity field. In the Gaussian case, we show that the passive scalar increments follow a log-Levy distribution generalizing Kraichnan''s solution and, in an appropriate limit, a log-normal distribution. In the turbulent case, we show that when the velocity increments follow a log-Poisson statistics, the passive scalar increments follow a statistics close to log-Poisson. This result explains the experimental observations of Ruiz et al. about the temperature increments.
Document Type研究报告
Identifierhttp://dspace.imech.ac.cn/handle/311007/44607
Collection力学所知识产出(1956-2008)
Recommended Citation
GB/T 7714
Dubrulle B,He GW. Possible statistics of two coupled random fields: Application to passive scalar. 2001.
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