The article deals with the solution of the NavierStokes
equations describing turbulent flows over
rough surfaces. It is known, that there is a mechanism
of turbulent mixing in natural systems, leading to an
increase in the viscosity of the continuous medium. In
this regard, we suggest methods of regularization of
the Navier-Stokes equations, similar to the natural
mechanisms of mixing. It is shown, that in threedimensional
flows over a rough surface turbulent
viscosity increases proportionally to the square of the
distance from the wall. The models of the flow,
taking into account the properties of the turbulent
environment are considered. A modification of the
continuity equation taking into account the limiting
magnitude of pressure fluctuations is proposed. It is
shown, that due to the pressure pulsation, the
incompressibility condition may be violated even for
flows with low Mach numbers. Modification of the
continuity equation taking into account turbulent
fluctuations leads to a system of nonlinear equations
of parabolic type. Modification of continuity equation
in the system of Navier-Stokes by the introduction of
turbulent viscosity allows the regularization of the
Navier-Stokes equations to solve the problems with
rapidly changing dynamic parameters. The main
result of which is obtained by numerical simulation of
the modified system of equations is the stability of the
numerical algorithm at a large Reynolds number,
which can be explained, first, a system of parabolic
type, and a large quantity of turbulent viscosity. A
numerical model of flow around plates with the rapid
change in angle of attack has been verified. We have
discovered the type of instability of the turbulent
boundary layer associated with the rapid changes in
dynamic parameters. It is shown, that the fluctuations
of the boundary layer to cause generation of sound at
a frequency of 100 Hz to 1 kHz
A number of information and semantic models has been developed using artificial intelligence system AIDOS-X. The similarity between the movement of the elements of the lunar orbit and the dynamics of the instantaneous pole of the Earth, as well as violations of the global atmospheric circulation and water, leading to the emergence of episodes of El Niño and La Niña are justified. We have explored a possibility of semantic
information models equatorial regions of the Pacific for prediction of global climatic disturbances in the tropical latitudes. We made a forecast about breaking of global ocean circulation, or the occurrence of El Niño episode of the classical type in 2015
We have allocated the basic sources of uncertainty in various industrial and economic situations. We have also considered the role and the tasks of forecasting in the management of industrial companies, particularly in the rocket and space industry. We
have discussed the methods of organizational and economic forecasting - statistical, expert, combined, including foresight and given some suggestions for improving the forecasting and planning mechanisms for practical use when creating space systems
Since there are many artificial intelligence systems, there is a need of comparable quality assessment of their mathematical models. For this purpose, these systems can be tested on the same database source data, for which it is very convenient to use a public database of the UCI repository. This work is aimed at the study and development of model practices of the database of the UCI repository to assess the quality of mathematical models of artificial intelligence systems
Inexpediency of use of probability of correct diagnostics as a quality indicator of diagnostic algorithm is shown. The new indicator - the prognostic strength based on Mahalanobis distance between classes is offered and studied. We have found asymptotic distribution of the prognostic strength; the way of testing of adequacy of its application has been specified. In a problem of testing of two simple hypotheses the prognostic strength connection is established with Hellinger distance
In paper the class of prefractal the trees generated by set of seeds-stars with alternation is defined. The algo-rithm of this class prefractal graphs recognition is proved. It is proved also polynomial character of the offered recognition algorithm
In this article, a model of preons electric currents caused by the motion of preons in the electron shells and nuclear shells is proposed. It is assumed that preons currents may contribute to the conductivity of the material. A closed model of electrodynamics, which describes the diffusion of the vector potential due to the contribution to the conductivity of preons currents, is formulated. An analogy of hydrodynamics and electrodynamics of continuous media with preons currents is considered. A model of the wireless transmission of electricity is proposed
We consider the model of the structure of matter, in which elementary particles, atoms and molecules are presented as consisting of preons particles
We consider the model of the structure of electrons and quarks, in which these particles are presented consisting of elementary particles preons. From this model, the theory of electron shells, as a continuation of the quark nuclear shells has been proposed
The soil fertility increase issues are very relevant now. Intensive development of agriculture cannot be made effectively without complex actions for farmlands protection from different types of degradations. On the one hand, it is necessary to ensure the maximum harvest of crops, and to preserve and increase the fertility of the soil and prevent negative anthropogenic impact on the environment on the other. For an extended reproduction of soil fertility, a system of measures is necessary for introduction of mineral and organic fertilizers into the soil, agrotechnical and reclamation methods, stimulation of humus formation processes, and so on. Therefore, methods are important that allow us to estimate the planned measures in advance to improve soil fertility and to eliminate environmental damage. In the article, the estimated parameters are treated by random variables. This allows us to consider the uncertainty in terms of probability distributions. It is offered a probabilistic model of the process of reducing the price of the proposed activity. Mathematical expectation, variance, distribution density of the considered random variable probabilities as the main characteristics of the object state price are calculated. The model can be used to address issues of rational use of land, scientifically based land management organization, when drafting land reclamation project