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Найдено статей: 422
  1. Ovcharenko E.A., Klyshnikov K.U., Savrasov G.V., Nyshtaev D.V., Kudryavtseva Y.A.
    Choice of design of transcatheter aortic valve prosthesis frame based on finite element analysis
    Computer Research and Modeling, 2015, v. 7, no. 4, pp. 909-922

    This article presents an analysis of the impact of the transcatheter prosthesis frame design features on the results of its implantation in the aortic root model. In this paper we analyzed the various approaches to the design of such structures, as well as modifications in order to improve their functional characteristics during the implantation. As a general method for obtaining the results of interaction of the objects was used finite element method with nonlinear materials description and analysis of the main parameters: the stress-strain state, radial and friction forces.

    Views (last year): 3. Citations: 1 (RSCI).
  2. Demianov A.Y., Dinariev O.Y., Lisitsin D.A.
    Numerical simulation of electromagnetic properties of the saturated rock media with surface conductivity effects
    Computer Research and Modeling, 2015, v. 7, no. 5, pp. 1081-1088

    New numerical simulation technique to calculate electrical properties of rocks with two-phase “oil– water” saturation is proposed. This technique takes into account surface conductivity of electrical double layers at the contact between solid rock and aqueous solution inside pore space. The numerical simulation technique is based on acquiring of electrical potential distribution in high-resolution three-dimensional digital model of porous medium. The digital model incorporates the spatial geometry of pore channels and contains bulk and surface grid cells. Numerical simulation results demonstrate the importance of surface conductivity effects.

    Views (last year): 4. Citations: 1 (RSCI).
  3. Shumov V.V.
    Protection of biological resources in the coastal area: the mathematical model
    Computer Research and Modeling, 2015, v. 7, no. 5, pp. 1109-1125

    Protection of aquatic biological resources in the coastal area has significant features (a large number of small fishing vessels, the dynamism of the situation, the use of coastal protection), by virtue of which stands in a class of applications. A mathematical model of protection designed for the determination of detection equipment and means of violators of the situation in order to ensure the function of deterrence of illegal activities. Resolves a tactical game-theoretic problem - find the optimal line patrol (parking) means of implementation (guard boats) and optimal removal of seats from the shore fishing violators. Using the methods of the theory of experimental design, linear regression models to assess the contribution of the main factors affecting the results of the simulation.

    In order to enhance the sustainability and adequacy of the model is proposed to use the mechanism of rankings means of protection, based on the borders and the rank and Pareto allows to take into account the principles of protection and further means of protection. To account for the variability of the situation offered several scenarios in which it is advisable to perform calculations.

    Views (last year): 1. Citations: 1 (RSCI).
  4. Kuznetsov M.B., Polezhaev A.A.
    The mechanism of formation of oscillons — localized oscillatory structures
    Computer Research and Modeling, 2015, v. 7, no. 6, pp. 1177-1184

    A formal model mechanism of oscillon formation is proposed. These structures were found in a variety of physical systems and a chemical Belousov–Jabotinsky reaction proceeding in an aerosol OT water-inoil microemulsion. Via the proposed mechanism oscillons occur as a result of interaction of two subsystems. In the first subsystem for a proper set of parameters solitary stationary structures may arise as a result of hard local excitation. These structures influence spatial distribution of the second subsystem parameter that leads to local oscillations in the subsystem.

    Views (last year): 6. Citations: 1 (RSCI).
  5. The method of calculation of the boundaries of quality classes for quantitative characteristics of systems with any properties is adapted to search for boundaries of three quality classes. In addition to other results, adaptation of the method allowed to determine boundaries between quality classes at simultaneous «unacceptability » of high and low values of indicator characteristic of the system condition and simultaneous «inadmissibility » of high and low values of factors affecting the system.

    Views (last year): 4. Citations: 1 (RSCI).
  6. Soukhovolsky V.G., Kovalev A.V., Palnikova E.N., Tarasova O.V.
    Modelling the risk of insect impacts on forest stands after possible climate changes
    Computer Research and Modeling, 2016, v. 8, no. 2, pp. 241-253

    A model of forest insect population dynamics used to simulate of “forest-insect” interactions and for estimation of possible damages of forest stand by pests. This model represented a population as control system where the input variables characterized the influence of modifier (climatic) factors and the feedback loop describes the effect of regulatory factors (parasites, predators and population interactions). The technique of stress testing on the basis of population dynamics model proposed for assessment of the risks of forest stand damage and destruction after insect impact. The dangerous forest pest pine looper Bupalus piniarius L. considered as the object of analysis. Computer experiments were conducted to assess of outbreak risks with possible climate change in the territory of Central Siberia. Model experiments have shown that risk of insect impact on the forest is not increased significantly in condition of sufficiently moderate warming (not more than 4 °C in summer period). However, a stronger warming in the territory of Central Siberia, combined with a dry summer condition could cause a significant increase in the risk of pine looper outbreaks.

    Views (last year): 3. Citations: 1 (RSCI).
  7. Galitskii V.V.
    Sectional model of non-free tree growth
    Computer Research and Modeling, 2016, v. 8, no. 2, pp. 307-322

    The three-dimensional model of biomass dynamics of a tree growing on a limited territory presented. The tree consists of structural sections periodically arising on its top. Each section generates a virtual "tree". Adjacent virtual trees are nested each other and their difference is the section. Sections have biomass dynamics which differs from the dynamics of the tree and gradually die off (including in course of the free growth of the tree), giving effect denudation of trunk from bottom. This is observed in nature. The 3D-model of biomass dynamics of a tree, growing in a limited area, for describing the biomass dynamics of sections and their constituent sectors uses equations similar to those proposed earlier for the 2D-tree model. Examples of biomass dynamics of sectors, sections and tree obtained using the developed model are presented. The dynamics of the hodographs of the azimuthal biomass distribution of sections demonstrates that the lower sections of a tree growing in a limited area, are in oppression and die (more quickly compared with the model of freely growing tree), and new sections on top of the tree appear and grow freely. As a result, "wave" of tree biomass runs up the trunk.

    Views (last year): 1. Citations: 1 (RSCI).
  8. Levashova N.T., Muhartova Ju.V., Olchev A.V.
    Three-dimensional modelling of turbulent transfer in the atmospheric surface layer using the theory of contrast structures
    Computer Research and Modeling, 2016, v. 8, no. 2, pp. 355-367

    A three-dimensional (3D) hydrodynamic model to describe the spatial patterns of wind and turbulence characteristics in the atmospheric surface layer over inhomogeneous vegetation cover is presented. To describe the interaction of air flow with vegetation the theory of contrast structures is used. The numerical experiments provided by a developed model to assess the impact of small clear-cutting on wind and turbulent regime in the atmospheric surface layer showed a significant influence of heterogeneous vegetation on the wind field and the turbulent exchange processes between the land surface and the atmosphere. Obtained results give a reasonable agreement with field experimental data and results of numerical experiments provided using alternative models.

    Views (last year): 3. Citations: 1 (RSCI).
  9. Arkhangelskaya T.A., Khokhlova O.S., Miakshina T.N.
    Mathematical modeling of soil hydrology in two arable Chernozems with different depth to carbonates
    Computer Research and Modeling, 2016, v. 8, no. 2, pp. 401-410

    Simulation of soil hydrology was performed for two plots: the first one was under corn monocrop and another one was under bare fallow for 50 years. The depth to carbonates is 140–160 cm under corn and 70–80 cm under bare fallow. Mathematical modeling with the HYDRUS-1D software and the FAO56 method demonstrated that soil hydrology was different for the two plots. Soil moisture was generally higher under bare fallow than under corn. The upward fluxes were significantly greater under bare fallow than under corn, and they were obtained for a thicker soil layer.

    Views (last year): 2. Citations: 1 (RSCI).
  10. Krivovichev G.V.
    Stability investigation of finite-difference schemes of lattice Boltzmann method for diffusion modelling
    Computer Research and Modeling, 2016, v. 8, no. 3, pp. 485-500

    Stability of finite difference schemes of lattice Boltzmann method for modelling of 1D diffusion for cases of D1Q2 and D1Q3 lattices is investigated. Finite difference schemes are constructed for the system of linear Bhatnagar–Gross–Krook (BGK) kinetic equations on single particle distribution functions. Brief review of articles of other authors is realized. With application of multiscale expansion by Chapman–Enskog method it is demonstrated that system of BGK kinetic equations at small Knudsen number is transformated to scalar linear diffusion equation. The solution of linear diffusion equation is obtained as a sum of single particle distribution functions. The method of linear travelling wave propagation is used to show the unconditional asymptotic stability of the solution of Cauchy problem for the system of BGK equations at all values of relaxation time. Stability of the scheme for D1Q2 lattice is demonstrated by the method of differential approximation. Stability condition is written in form of the inequality on values of relaxation time. The possibility of the reduction of stability analysis of the schemes for BGK equations to the analysis of special schemes for diffusion equation for the case of D1Q3 lattice is investigated. Numerical stability investigation is realized by von Neumann method. Absolute values of the eigenvalues of the transition matrix are investigated in parameter space of the schemes. It is demonstrated that in wide range of the parameters changing the values of modulas of eigenvalues are lower than unity, so the scheme is stable with respect to initial conditions.

    Views (last year): 2. Citations: 1 (RSCI).
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International Interdisciplinary Conference "Mathematics. Computing. Education"