Most cited papers (RSCI)

71. Krainov A.Y., Moiseeva K.M., Paleev D.Y.
    Numerical simulation of combustion of a polydisperse suspension of coal dust in a spherical volume
    Computer Research and Modeling, 2016, v. 8, no. 3, pp. 531-539

    The physical and mathematical model of combustion of the polydisperse suspension of coal dust was developed. The formulation of the problem takes into account the evaporation of particle volatile components during the heating, the particle emitting and the gas heat transfer to a surrounding area via the sphere volume side surface, heat transfer coefficient as a function of temperature. The polydisperse of coal-dust is taken into consideration. N — the number of fraction. Fractions are subdivided into inert and reacting particles. The oxidizer mass balance equation takes into consideration the oxidizer consumption per each reaction (heterogeneous on the particle surface and homogenous in the gas). Exothermic chemical reactions in gas are determined by Arrhenius equation with second-order kinetics. The heterogeneous reaction on the particle surface was first-order reaction. The numerical simulation was solved by Runge–Kutta–Merson method. Reliability of the calculations was verified by solving the partial problems. During the numerical calculation the percentage composition of inert and reacting particles in coal-dust and their total mass were changed for each simulation. We have determined the influence of the percentage composition of inert and reacting particles on burning characteristics of polydisperse coal-dust methane-air mixture. The results showed that the percent increase of volatile components in the mixture lead to the increase of total pressure in the volume. The value of total pressure decreases with the increasing of the inert components in the mixture. It has been determined that there is the extremism radius value of coarse particles by which the maximum pressure reaches the highest value.

    Keywords: methane-air mixture, polydisperse gas suspension of coal dust, combustion, distillation.
    Views (last year): 2. Citations: 7 (RSCI).
72. Dzhoraev A.R.
    GPU-accelerated hybrid systems for high-performance computing in bio-informatics
    Computer Research and Modeling, 2010, v. 2, no. 2, pp. 163-167

    Modern GPUs are massively-parallel processors, offering substantial amount of computational power in energy-efficient package. We discuss the benefits of utilizing this computing power for modeling problems in bio-informatics, such as molecular dynamics, quantum chemistry and sequence analysis.

    Keywords: GPU, bioinformatics, molecular dynamics, quantum chemistry, sequence analysis.
    Views (last year): 2. Citations: 6 (RSCI).
73. Geller O.V., Vasilev M.O., Kholodov Y.A.
    Building a high-performance computing system for simulation of gas dynamics
    Computer Research and Modeling, 2010, v. 2, no. 3, pp. 309-317

    The aim of research is to develop software system for solving gas dynamic problem in multiply connected integration domains of regular shape by high-performance computing system. Comparison of the various technologies of parallel computing has been done. The program complex is implemented using multithreaded parallel systems to organize both multi-core and massively parallel calculation. The comparison of numerical results with known model problems solutions has been done. Research of performance of different computing platforms has been done.

    Keywords: S.K. Godunov method, GPU, CUDA, OpenCL, OpenMP, GP GPU.
    Views (last year): 5. Citations: 6 (RSCI).
74. Silaev D.A.
    Semilocal smoothihg S-splines
    Computer Research and Modeling, 2010, v. 2, no. 4, pp. 349-357

    Semilocal smoothing splines or S-splines from class C ^p are considered. These splines consist of polynomials of a degree n, first p + 1 coefficients of each polynomial are determined by values of the previous polynomial and p its derivatives at the point of splice, coefficients at higher terms of the polynomial are determined by the least squares method. These conditions are supplemented by the periodicity condition for the spline function on the whole segment of definition or by initial conditions. Uniqueness and existence theorems are proved. Stability and convergence conditions for these splines are established.

    Keywords: approximation, spline, smoothing, semilocality, polynomial, numerical methods.
    Views (last year): 1. Citations: 6 (RSCI).
75. Poddubny V.V., Polikarpov A.A.
    Dissipative Stochastic Dynamic Model of Language Signs Evolution
    Computer Research and Modeling, 2011, v. 3, no. 2, pp. 103-124

    We offer the dissipative stochastic dynamic model of the language sign evolution, satisfying to the principle of the least action, one of fundamental variational principles of the Nature. The model conjectures the Poisson nature of the birth flow of language signs and the exponential distribution of their associative-semantic potential (ASP). The model works with stochastic difference equations of the special type for dissipative processes. The equation for momentary polysemy distribution and frequency-rank distribution drawn from our model do not differs significantly (by Kolmogorov-Smirnov’s test) from empirical distributions, got from main Russian and English explanatory dictionaries as well as frequency dictionaries of them.

    Keywords: language sign, evolution, associative semantic potential, sign meanings, polysemy, frequency rank distribution, dissipative stochastic dynamic model.
    Views (last year): 1. Citations: 6 (RSCI).
76. Chistyakov V.V.
    On one resolvent method for integrating the low angle trajectories of a heavy point projectile motion under quadratic air resistance
    Computer Research and Modeling, 2011, v. 3, no. 3, pp. 265-277

    New key parameters, namely b₀ = tgθ₀, θ₀ — angle of throwing, R_a — top curvature radius and β₀ — dimensionless speed square on the top of low angular trajectory were suggested in classic problem of integrating nonlinear equations of point mass projectile motion with quadratic air drag. Very precise formulae were obtained in a new way for coordinates x(b), y(b) and fly time t(b), b = tgθ where θ is inclination angle. This method is based on Legendre transformation and its precision is automatically improved in wide range of the θ₀ values and drag force parameters α. The precision was monitored by Maple computing product.

    Keywords: quadratic air drag, projectile, Legendre transformation, law angular trajectory, automatically adjusted formula precision, Maple.
    Views (last year): 1. Citations: 6 (RSCI).
77. Gubanov S.M., Krainov A.Y.
    Numerical simulation of cooling tanks for vapor desublimation processes
    Computer Research and Modeling, 2011, v. 3, no. 4, pp. 383-388

    The paper presents a mathematical model to be used for design of cooling tanks for vapor desublimation. Results of calculations for the process of cooling of two tanks in a block of four are presented. Chart of the cooling air flow in the piping network is presented.

    Keywords: a network of pipelines, containers, cooling, mathematical modeling.
    Views (last year): 2. Citations: 6 (RSCI).
78. Kazakov D.V.
    A quasi-periodic two-component dynamical model for cardio-signal synthesis using time-series and the fourth-order Runge–Kutta method
    Computer Research and Modeling, 2012, v. 4, no. 1, pp. 143-154

    In the article, a quasi-periodic two-component dynamical model with possibility of defining the cardio-cycle morphology, that provides the model with an ability of generating a temporal and a spectral cardiosignal characteristics, including heart rate variability is described. A technique for determining the cardio-cycle morphology to provide realistic cardio-signal form is defined. A method for defining cardio-signal dynamical system by the way of determining a three-dimensional state space and equations which describe a trajectory of point’s motion in this space is presented. A technique for solving equations of motion in the three-dimensional state space of dynamical cardio-signal system using the fourth-order Runge–Kutta method is presented. Based on this model, algorithm and software package are developed. Using software package, a cardio-signal synthesis experiment is conducted and the relationship of cardio-signal diagnostic features is analyzed.

    Keywords: cardio-signal synthesis, quasi-periodic dynamical model, algorithm, three-dimensional state space, cardio-cycle morphology, heart rate variability, time-series, the fourth-order Runge–Kutta method.
    Views (last year): 5. Citations: 6 (RSCI).
79. Krektuleva R.A., Cherepanov O.I., Cherepanov R.O.
    Numerical solution of a two-dimensional quasi-static problem of thermoplasticity: residual thermal stress calculation for a multipass welding of heterogeneous steels
    Computer Research and Modeling, 2012, v. 4, no. 2, pp. 345-356

    A two-dimensional mathematical model was developed for estimating the stresses in welded joints formed during multipass welding of multilayer steels. The basis of the model is the system of equations that includes the Lagrange variational equation of incremental plasticity theory and the variational equation of heat conduction, which expresses the principle of M. Biot. Variational-difference method was used to solve the problems of heat conductivity and calculation of the transient temperature field, and then at each time step – for the quasi-static problem of thermoplasticity. The numerical scheme is based on triangular meshes, which gives a more accuracy in describing the boundaries of structural elements as compared to rectangular grids.

    Keywords: thermoplastisity, thermal conductivity, multipass welding, coating.
    Views (last year): 4. Citations: 6 (RSCI).
80. Bratsun D.A., Zyuzgin A.V.
    Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part II. Control of fluid equilibrium
    Computer Research and Modeling, 2012, v. 4, no. 2, pp. 369-389

    The problem of active control of the mechanical equilibrium of an inhomogeneously heated fluid in a thermosyphon is studied theoretically and experimentally. The control is performed by using a feedback subsystem which inhibits convection by changing the orientation of thermosyphon in space. It is shown that excess feedback leads to the excitation of oscillations which are related to a delay in the controller work. In the presense of noise, the oscillations arise even when deterministic description predicts stationary behaviour. The experimental data and theory are in good agreement.

    Keywords: time delay, stochastic systems, oscillations, control, convection.
    Views (last year): 1. Citations: 6 (RSCI).

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