An alternative to the technological and economic development model based on global mass markets and the “double reduction” strategy is a model of national development based on the global markets of long-lasting, highly reliable and available products. These are strategic industry products. The key factor to secure high profit margins for strategic products is digital product development, manufacturing and operation technologies that optimize product design, manufacturing processes, and product operation. Supercomputer simulation is an important part of these technologies as it leads to product cost reduction. A target criterion is increasing the Russian physical product output to that of global leaders.

The paper discusses the features of the operator information environment in computer simulators. We discuss the structure of the information environment, problems and methods of forming the most important of its components, the visual image. The research is relevant due to ongoing changes in VR technology, which in the short term can lead to revolutionary changes to traditional simulator imaging systems. We consider the mechanisms of visual perception: accommodation, convergence, motion parallax, which are the most important for visual simulation, and spatial and temporal characteristics of the human vision. Based on these data, we propose basic requirements to generating simulated images representing real-life objects. The requirements to different simulators are also different. They are to be taken into account when developing a specific simulator to make it efficient. The paper discusses the problems of spatial image construction for spacecraft, railway, and aircraft simulators. We propose some approaches and methods for solving these problems. Head-on multifocal 3D displays and fast positioning systems are discussed.

The paper considers the information availability time lag effects on making management decisions related to the models of information systems that are based on emergent stratification.

The paper describes the construction of a bot model for the DIRECTUM document management system used for business process automation. The model introduces new functionality to the system while the bot interacts with it in a human-like manner. The proposed expansion of the DIRECTUM platform will provide a number of new features such as: - the ability to use a bot as a business process changes without changing the code. It has ability to use the software of the robot level. The bot would simulate the operator’s actions; - the bit can be activated and deactivated for process trial runs; - the approach is general: the work can be shared by bots and humans; - better productivity, no manual data entry and data correction errors.

Dedicated to 65th anniversary of Prof. V. Galkin An asymptotic form of the boundary problem with internal transition layer has been developed and proved for a singular perturbed second order ordinary differential equation. The transition layer consists of four zones with different fast solution change patterns in each zone. The reason for such a behavior is that of the degenerate root is 2-tuple.

A class of steady-state problems with a particle source for physical kinetics equations including Boltzmann-type collision operators. An algorithm for constructing dissipative solutions that finds exact Smoluchowski non-stationary equation solutions for spatially homogenous systems with a multiplicative particle fusion core has been proposed. The algorithm has been justified. Ai important feature of the solution class is that the collision operator is discontinuous in the permanence relation. The problem of such solution existence for Boltzmann collision operator and gas kinetic theory has been proposed. It would enable to introduce dissipative solutions to the A. V. Bobylev class of exact solutions.

In this paper we study cubature formulas for calculating multiple integrals of functions periodic in each variable. The basis of the statement of the problem lies in the assertion that these formulas must be exact for trigonometric polynomials of possibly higher degree for a given number of nodes of integration. It is known that for algebraic polynomials Such quadrature formulas are the Gauss quadratures. Similar formulas in the periodic case are called analogues of Gauss quadratures.

The paper deals with the problem of searching for the Weibull distribution parameters and the gamma distribution by the right-censored sample using the EM algorithm. Recurrence relations of the EM algorithm for this problem are obtained. Integrals over unbounded intervals are calculated in terms of quadratures using the roots of the Laguerre polynomial.

It is shown that abstract computing machines being shift automata, an adder, and a multiplier can handle infinitely large numbers. Such numbers are not something fuzzy but specific objects with their own properties.

The paper describes the NIMFA software package and an approach to solving the equations of nonlinear single-phase fluid filtration and heat-and mass transfer in porous media. The primary equations for the simulated processes and the equation discretization methods are presented. A verification matrix for 21 tests is given. It is shown that there is a good qualitative and quantitative agreement with analytical tests and results of simulations by third-party solvers.

A hydrodynamic model adjustment (an adaptation procedure) is applied prior to solving oil field development forecasting problems. The adaptation problem like any other inverse problem has more than one solution. Besides, the solution greatly depends on the production data quality and quantity being the foundation any analysis algorithms. In real applications there is a permanent lack of information. While water and oil flow rates are estimated frequently and with sufficient precision, downhole and reservoir pressure is not estimated as often as required. The paper proposes an algorithm for solving the adaptation problem. It provides sufficient accuracy for estimating the reservoir deliverability as the available production data are incomplete. Stabilizing functions are used for adjustment. They account for both physical and opinion-based constraints applied to the parameters adjusted.

The paper presents hydraulic fracture growth model that takes into account leak-off into the formation. Fracture behavior has been examined as a function of various parameters. Specifically, nonmonotonic relations between the fracture length, fracturing fluid viscosity and injection rate have been identified.

The paper deals with basic and applied aspects of high-performance process simulation for oil&gas industry. We study large- and low-scale approaches to managing large parallel simulations with multi-CPU heterogamous computers with distributed hierarchical common RAM. The paper focuses of the implementation of multiscale discontinuous Galerkin high order methods to solve interdisciplinary direct and inverse real-life problems such as complex geometric configurations of multiply connected piecewise-smooth boundaries and contrast material properties in various environments, and algorithms for solving super-large sparse linear equation systems. Hybrid programming technologies a presented that use interCPU data transfer, multi-thread computing, vectorization, and graphics accelerator chips. We also analyze the properties and performance of algorithm paralleling and its mapping to the computer architecture, component-based software development for creating large integrated environments.

A superelement-based surrogate model of oil reservoir flooding has been considered. The model accounts for the water-bearing aquifer area effects. The model can be used to solve the problems of ongoing oil field development management. The results of comparative testing are given.

The paper investigates stationary dilatant fluid flow with a power function for viscosity in a rectangular cross section pipe driven by a specified pressure difference. The numeric study has generated an interpolation equation for the flow rate vs. other parameters.

The problem of “repetition without repetition” proposed by N. A. Bernstein in 1947 has now transformed into the Eskov-Zinchenko effect. Its core is the lack of stochastic stability of any psychophysiological parameters that identify physical, physiological human functions. It is the basis of a new chaos - self-organization theory (CSOT) that demonstrates the limitations of the statistical (conventional) approach in psychology and offers new opportunities in studying mental functions (under various conditions). Psychology used to estimate any x i human psychophysiological features with random (unique) datasets. The new CSOT offers the concept of homeostasis, its evolution, uncertainties of the 1 st and 2 nd kind, and the concept of quasi attractor. These are new approaches for psychologists and new tools to understand the processes in the human organism, and how the mind is affected by the environmental factors or internal changes. The new approach offers new opportunities for studying the brain and its functions in terms of chaotic dynamic behavior of brain neural networks and effector systems controlled by the brain. Actually it is a new domain in psychology, a psychology of the future, psychology of brain studies and its homeostasis in terms of chaos reality in the dynamic neural networks. There is no static stability (within xi datasets of human homeostasis in a row). Not it is possible to learn the human cognitive functions that used to be studied with deterministic or stochastic approach.

An experimental study of propane-air flame propagation in a flat narrow channel is presented. It has been discovered that as the width of a narrow channel decreases to a critical value, cylindrical the flame front becomes unstable compared to monotonically increasing short-wave perturbations. It is shown that the flame front features perturbations on the flame surface with specific amplitude and wavelength that depend on the channel width and its orientation relative to the gravitational acceleration vector.