Unified multifractal atmospheric dynamics tested in the tropics: part II, vertical scaling and generalized scale invariance - Archive ouverte HAL Access content directly
Journal Articles Nonlinear Processes in Geophysics Year : 1994

Unified multifractal atmospheric dynamics tested in the tropics: part II, vertical scaling and generalized scale invariance

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Abstract

We empirically investigate the scaling behaviour of the horizontal wind along the vertical direction using 287 radiosonde soundings with a resolution of 50 m. We compare the results obtained with those of the horizontal temporal behaviour in the framework of Generalized Scaling Invariance and the unified Scaling model of atmospheric dynamics. We find the scaling to be very well respected over the range 50 m - 13 km (nearly the entire troposphere) and we estimate the universal multifractal indices which characterize the statistics in the vertical. By comparing our result with those obtained in the horizontal we show that the degree of stratification is different for mean and extreme structures. Finally, we theoretically discuss the necessary improvements to the Unified Multifractal model needed to account for them.
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Dates and versions

hal-00331028 , version 1 (01-01-1994)

Identifiers

  • HAL Id : hal-00331028 , version 1

Cite

A. Lazarev, D Schertzer, S. Lovejoy, Y. Chigirinskaya. Unified multifractal atmospheric dynamics tested in the tropics: part II, vertical scaling and generalized scale invariance. Nonlinear Processes in Geophysics, 1994, 1 (2/3), pp.115-123. ⟨hal-00331028⟩
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