The work is devoted to some methodical presuppositions of creation representative prognostic of hydrodynamic model turbulence in free atmosphere of the Earth within the framework of the program global ozone monitoring by the occultation of stars (project Gomos). Closed system of hydrodynamic equations for a turbulent multi-component mixture and model balance equations for covariance of pulsating hydrodynamic parameters of medium suitable for the adequate description of average properties of middle atmosphere (and taking in to account multi-component and compressibility of a flow, processes heat-and mass transfer and chemical reactions) is considered. The scheme of closing of the first order, using linear determining relations for turbulent flows of a diffusion, heat and tensor Renolds of pressure is offered. On the basis of balance equations for covariance of pulsating meteorological parameters , recorded in locally-equilibrium case, one a possible ways of half-empirical modeling of coefficients of turbulent transfer in stratified atmosphere , enabling to receive the analytical formulas for them , is considered. Appearing in these formulas parameters of a turbulence (such as, external scale turbulence and rate of a dissipation of turbulent energy) is offered to simulate (at creation of a program complex of operative determination of the dynamic characteristics of atmosphere) with use optical experimental given on high-altitude distribution structural characteristic of an index refraction of air Cn²(z), atmospheres received at simultaneous sounding by light from a star.

Mathematical modelling in actual problems of science and technics

Kolesnichenko Aleksandr Vladimirovich,  kolesn@keldysh.ru,  orcid.org/0000-0003-1416-5634,  KIAM RAS

Marov M. Ya.,  KIAM RAS