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| Possible statistics of two coupled random fields: Application to passive scalar | |
Dubrulle B; He GW(何国威)
| |
| 2001 | |
| Source Publication | Dubrulle B; 何国威.Possible statistics of two coupled random fields: Application to passive scalar:2001. |
| Abstract | We 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 |
| Identifier | http://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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 20000120209.pdf（1081KB） | 开放获取 | License | Application Full Text | |||
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