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Synergetic Approach to Constructing a Structured Turbulence Model

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Abstract

The aim of this article is to acquaint the reader to the rapidly developing stochastic-thermodynamic theory of irreversible processes using as an example the modeling of structured turbulence. Here, we consider a synergetic approach to the development of a phenomenological model of extremely developed turbulence in a compressible homogeneous fluid, taking into account the nonlinear cooperative processes in it. Inclusion in the model of a set of random variables as internal parameters of the turbulent chaos subsystem, associated with its microstructure, makes it possible in this case to derive, using thermodynamic methods, the Fokker–Planck–Kolmogorov (FPK) kinetic equations in configuration space. Stabilization of the chaos subsystem near the next stationary nonequilibrium state in configuration space corresponds to the transition of the turbulent system to a new state, adequate to the emergence of complex spatiotemporal CSs in a turbulent flow.

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Notes

  1. In this regard, it is appropriate to recall the following: according to Onsager [22], turbulent chaos, in which different-scale vortices are well mixed, can be describe using methods of statistical mechanics, and therefore, methods of statistical thermodynamics of irreversible processes can also be used.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    A. V. Kolesnichenko

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  1. A. V. Kolesnichenko
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Correspondence to A. V. Kolesnichenko.

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Translated by E. Chernokozhin

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Kolesnichenko, A.V. Synergetic Approach to Constructing a Structured Turbulence Model. Sol Syst Res 57, 783–802 (2023). https://doi.org/10.1134/S0038094623070092

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