Developed Turbulence: New Methods for Turbulence Modeling

Abstract

This paper completes the construction of the model of developed hydrodynamic turbulence, which has been elaborated over the past few years. For the first time, developed turbulence as a nonintegrability phenomenon in the Pfaffian sense in continuum dynamics is defined in terms of mathematical postulates. The main novelty is the direct modeling of classes of turbulent vortex wake trajectories by integral Pfaff distribution curves. This provided a basis for geodesic and almost geodesic variants of modeling. The model is extended with a new version of the solution of the averaging problem for developed turbulent states of the medium.