When constructing a Cellular Automata (CA) model of a natural process one meets a problem of determining scaling relations, i.e. the quantitative relationships between the CA dimensionless parameters and corresponding values characterizing the prototype process given in terms of a physical system of units. The problem has no general solution....

In this paper, we propose an approach to constructing the user interface to be based on the ontological description. Its advantages are pondered. The main value using the ontology is the reduced complexity and development time as well as the increased quality of resulting implementation. The requirements to a system...

This paper presents the results of mathematical modeling of the problem of elasticity theory. The problem consists in the calculation of a model problem in a two-dimensional formulation aimed at finding the displacements around a crack.

This paper presents a computer-aided simulation to calculate the heating of a tungsten plate with different crack geometries forming in the process of a pulsed thermal load. The results of model testing, numerical calculations and comparison with experimental data are presented. The dependence of the surface temperature on the location...

This paper presents the results of a research into the anisotropy factor introduced by the hexagonal structure of a cellular array in a discrete model of a gas-powder flow with an integer alphabet and a hexagonal neighborhood structure at the stage of calculating the average values of pressure and flow...

The paper proposes an efficient parallel implementation of the Ramalingam algorithm for the dynamic update of the all-pairs shortest paths of a directed weighted graph after deleting an edge. To this end, a model of associative parallel systems with vertical data processing (the STAR-machine) is used. With this model, the...

Presented in this paper are the software techniques to improve the performance of the Particle-in-Cell method for general-purpose computers equipped with processors like Intel Xeon/Nehalem or AMD Phenom. The software techniques include particle storing in cells in either fixed size array or list, field values kept together in one array....

An algorithm for tracking objects in a videostream based on the use of a hierarchical Bayesian network is proposed. A specific feature of the algorithm proposed is the use of multi-dimensional scaling, which made possible to significantly reduce the network training time. The algorithm is resistant to temporary monitored object...

In this study, the problem of the utility network design is treated by the hypernet approach according to the compatibility of different types of resources with allowance for their laying in the same track. Also, we study the reliability aspect of the designed utility network for obtaining the optimal laying...

The deformation tensor *ε* in a porous medium is a function of the
stress tensor *σ* and the pore pressure *ρ*. Additional osmotic effects are present
in some rocks, such as shales. It is shown that such effects, in turn, modify the
thermodynamics of the system, namely, in terms...

In this paper, the Bernoulli equation for an incompressible two-fluid medium with equilibrium of pressure phases in the reversible hydrodynamic approximation is constructed.

In this paper, a solution to an initial boundary value problem for a one-dimensional non-local system for the destruction of rocks is constructed.

There are many methods for computing the tsunami kinematics directly and inversely. The direct detection of waves in the deep ocean makes it possible to establish the tsunami source characteristics and origin. The present study proposes a modification in the methodology of determining tsunami travel times and wave front positions...

Various endogenous, those occurring in the Earth's bowels, and exogenous, for example, impact effects, geological processes characterize the state of the art in geodynamics. In order to solve problems focused on the investigation of the cause-effect relationships of the processes influencing the regional geodynamics, the Earth's Natural Disasters Database (GIS-ENDDB)...

An application of the original numerical inversion technique to modeling the tsunami sources of the 16 September 2015 Chile tsunami is presented. The problem of recovering a tsunami source from remote measurements of the incoming wave in the deep-water tsunameters is considered as an inverse problem of mathematical physics in...

Conditional stability of explicit schemes in finite differences complicates the choice of a time step. The increase in the number of the grid nodes for more precise computations and the corresponding space step decrease leads to the increase in computer costs due to the decreasing of the time step. We...

The self-consistent evolution of the ion-acoustic collisionless shock with shock-reflected ions is numerically studied with kinetic simulations. We want to compare different approaches to the shock simulation based on the PIC-method. The results of one-dimensional fully kinetic simulation for both plasma components with the real ion-to-electron mass ratio are compared...

Today the method for the development of portable numerical simulation programs is very important because of the two main reasons. The first reason is the diversity of supercomputer architectures in Top500 and the second one is a demand for using the most powerful computers to simulate, for example, plasma. The...

The paper reviews the problem of forecasting the possible maximum pressure at the well-head, at the well-bore and at near-wellbore zone of reservoir during the process of new stimulation technology like reactive chemistry application. The technology provides stimulation by thermobaric effects. This impact occurs as a result of thermal decomposition...

This paper investigates a magma flow in permeable zones of the lithosphere. The model equations describing the dynamics of saturated porous media both without tangential stresses and with them are presented. The phenomenological method used for deriving the equations provides the thermodynamic correctness. Based on the model of the heterophase...

This paper deals with an ill-posed problem to determine the size distribution for water drops in a cloud from a given scattering phase function. Numerical experiments have shown that a method based on non-negative least squares with additional requirements of smoothness can be used to solve the ill-posed problems.

In order to create systems of vibroseismic monitoring for earthquakeprone areas it is needed to carry out the simulation of seismic wave propagation in the media typical of volcanic structures. To this end it is required to develop supercomputer technologies for decreasing the computation time and simulation of "big" 3D...

New parallel algorithm is developed for simulating the dynamics of a thin circumstellar disk. It is based on the combination of a gridless method of smoothed particle hydrodynamics (SPH) and the grid-based convolution method for calculating a gravitational potential. To develop the algorithm, we made software profiling of numerical experiments...

The numerical results obtained have shown that the dynamic atmosphere factor plays an important role in changing the state of the ice cover. A change in the Atlantic water pathway has an influence on the ice depth in the regions of the Barents Sea, the Fram Strait and the Eurasian...

An initial boundary value problem for systems of viscous two-fluid media with equilibrium of pressure phases is considered. Using the test function method proposed by S.I. Pohozhaev and E. Mitidieri, the effect of boundary and initial conditions on the appearance, time and rate of destruction of solutions of this problem...

The water motion in real river-beds is described by the mathematical models that under appropriate assumptions are various approximations of hydrodynamic equations, or the Navier-Stokes equations. The mathematical model of a water flow, based on the laws of conservation of momentum and mass of fluid, was proposed by Saint-Venant. The...

The research into the hydrological regime of the river estuaries conventionally concerns the distribution of the flow across their channels and branches.

There is a known hydraulic method for calculating the hydrological regimes in the river deltas [1]. It is based on a system of the balance equations for branching...

The equations of gas dynamics are an integral part of numerical models of the atmospheric dynamics used for research into variations of climate and anthropogenic changes in the environment. Various modifications of the discrete kinetic models describing a single-particle distribution function are reviewed and tested. A comparison of test solutions...

The results of experimental and numerical studies of regional contamination of the snow cover by the atmospheric emissions of impurities coming in the winter period from the territory of Novosibirsk are discussed. The quantitative regularities in removing of impurities are established. The possibility of creating an efficient monitoring system and...

Results of the land and satellite investigations of dust pollution of the snow cover in the neighborhood of Omsk CHP-5 are discussed. Based on the model of reconstructing the fields of aerosol impurity losses, the numerical analysis of these observations is carried out. A significant influence of the effects of...