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Cascade of Random Rotation and Scaling in a Shell Model Intermittent Turbulence |
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| Authors: | SUN Peng CHEN Shi-Gang WANG Guang-Rui |
| Institution: | Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China;Physics Department, Anshan Normal College, Anshan 114005, China Institute of Applied Physics and Computational Mathematics, P.O. Box 8009 28, Beijing 100088, China Institute of Applied Physics and Computational Mathematics, P.O. Box 8009 28, Beijing 100088, China |
| Abstract: | The time behaviors of intermittent turbulence in Gledzer-Ohkitani-Yamada model are investigated. Two kinds of orbits of each shell which is in the inertial range are discussed by portrait analysis in phase space. We find intermittent orbit parts wandering randomly and the directions of unstable quasi-periodic orbit parts of different shellsform rotational, reversal and locked cascade of period three with shell number. We calculate the critical scaling of intermittent turbulence and the extended self-similarity of the two parts of orbit and point out that nonlinear scaling in inertial-range is decided by intermittent orbit parts. |
| Keywords: | intermittent orbit unstable quasi-periodic orbit critical scaling extended self-similarity (ESS) |
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