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On the geometric origin of the spectral formulation of the self-preservation hypothesis in the theory of turbulence

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Summary

The law of the self-preservation of the power spectrum is the result of the covariant formulation of the law of motion of particles of a fluid and of the non-stationary metric of the space of configurations, induced by their velocity field. The initial concept is the covariant derivative of the vector of the mean velocity of the particle of the fluid. As a tensor of the second order we select it so that it contains the Lagrangean characteristics of motion-two-point correlation tensors of the second order and expressions generated by specifying it.

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  1. Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague

    Jiří Horák

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  1. Jiří Horák
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Horák, J. On the geometric origin of the spectral formulation of the self-preservation hypothesis in the theory of turbulence. Stud Geophys Geod 25, 404–410 (1981). https://doi.org/10.1007/BF01629224

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  • DOI: https://doi.org/10.1007/BF01629224

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