Труды сотрудников ИВМ СО РАН

[Текст]. - Электрон. дан. (227 Кб)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=1604. - Электрон. версия печ. публикации . - Режим доступа: http://library.krasn.ru/trudy/2000/1604lab23rus_29.pdf (Полный текст) : статья / Е.Н. Васильев, В.А. Деревянко, В.В. Овчинников. - Электрон. дан. (227 Кб) // Теория и эксперимент в современной физике. - 2000. - С. 57-69
Аннотация: The principal scheme of a T-layer MHD control in a hypersonic ramjet engine with the aim to improve its thrust characteristics is presented. A periodical regime and T-layer initiation problems are solved numerically using the one- and two-dimensional gas dynamical models.

http://icm.krasn.ru/refextra.php?id=1604,
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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Деревянко, Валерий Александрович; Derevyanko V.A.; Овчинников, В.В.; Vasilyev E.N.

/ V. M. Sadovskii, O. V. Sadovskaya ; ed. by T.E.Simos [et al.] // NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B. Ser. AIP Conference Proceedings : AMER INST PHYSICS, 2012. - Vol. 1479: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) (SEP 19-25, 2012, Kos, GREECE). - pp. 1611-1614, DOI 10.1063/1.4756474. - Cited References: 4 . - ISBN 0094-243X. - ISBN 978-0-7354-1091-6РУБ Mathematics, Applied + Physics, Applied

Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on supercomputers with cluster architecture.

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Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Simos, T.E. \ed.\; Psihoyios, G. \ed.\; Tsitouras, C. \ed.\

[Text] / I. O. Bogulskii, Y. M. Volchkov // Numerical Analysis and Applications. - 2012. - Vol. 5, Is. 2. - pp. 124-128, DOI 10.1134/S1995423912020048 . - ISSN 1995-4239
Аннотация: Numerical schemes for solving two-dimensional dynamic problems of elasticity theory based upon several local approximations for each of the required functions are discussed. The schemes contain free parameters (dissipation constants). An explicit form of artificial dissipation of the solutions allows us to control its size and to effectively construct both explicit and implicit schemes. The principle of producing such schemes is applied to a plane dynamic problem of elasticity theory as an example. We describe a class of problems for which numerical algorithms using several local approximations for each of the required functions are constructed. Examples of solving practical problems are given. В© 2012 Pleiades Publishing, Ltd.

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Доп.точки доступа:
Bogulskii, I.O.; Богульский, Игорь Олегович; Volchkov, Y.M.

[Text] / E.D. Karepova, V.V. Shaidurov // Russ. J. Numer. Anal. Math. Model. - 2000. - Vol. 15, Is. 2. - pp. 167-182, DOI 10.1515/rnam.2000.15.2.167. - Cited References: 8 . - ISSN 0927-6467РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: We consider the Galerkin piecewise linear finite element method for an ordinary convection-diffusion boundary value problem with a small parameter in front of the highest derivative. For the generation of a discrete linear algebraic system we use the special quadrature formulae that take into account the boundary layer character of the solution. It is proved that the resulting discrete problem is of epsilon(2) + h(2)-order of accuracy in the uniform discrete norm for small h and epsilon. The numerical example shows the advantage of the considered discrete scheme over two commonly used difference schemes.


Доп.точки доступа:
Karepova, E.D.; Карепова, Евгения Дмитриевна; Shaidurov, V.V.; Шайдуров, Владимир Викторович

[Text] / E.D. Karepova, V.V. Shaidurov // RECENT ADVANCES IN FLUID MECHANICS. Ser. WSEAS Mechanical Engineering Series : WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC, 2009. - 6th WSEAS International Conference on Fluid Mechanics (JAN 10-12, 2009, Ningbo, PEOPLES R CHINA). - pp. 121-125. - Cited References: 0 . - ISBN 978-960-474-040-6РУБ Engineering, Mechanical + Mathematics, Applied

Аннотация: In this paper the Navier-Stokes equations are solved for heat-conductive medium. At first the system of equations are equivalently transformed and then discretized by bilinear finite elements in space and by Crank-Nicholson scheme in time. It produces stable scheme with low artificial viscosity.


Доп.точки доступа:
Karepova, E.D.; Карепова, Евгения Дмитриевна; Shaidurov, V.V.; Шайдуров, Владимир Викторович

[Text] / S.N. Genova [et al.] // Aquat. Ecol. - 2010. - Vol. 44, Is. 3. - pp. 571-584, DOI 10.1007/s10452-010-9327-7. - Cited References: 26. - The study was financially supported by the Netherlands Organization for Scientific Research (NOW), Grant 047.011.2004.030; RFBR, Grant 05-05-89002; RFBR, Grant 07-01-00153; Multidisciplinary integration project of SB RAS No. 95. . - ISSN 1386-2588РУБ Ecology + Limnology + Marine & Freshwater Biology

Аннотация: In meromictic lakes such as Lake Shira, horizontal inhomogeneity is small in comparison with vertical gradients. To determine the vertical distribution of temperature, salinity, and density of water in a deep zone of a Lake Shira, or other saline lakes, a one-dimensional (in vertical direction) mathematical model is presented. A special feature of this model is that it takes into account the process of ice formation. The model of ice formation is based on the one-phase Stefan problem with the linear temperature distribution in the solid phase. A convective mixed layer is formed under an ice cover due to salt extraction in the ice formation process. To obtain analytical solutions for the vertical distribution of temperature, salinity, and density of water, we use a scheme of vertical structure in the form of several layers. In spring, the ice melts as top and bottom. These processes are taken into account in the model. The calculated profiles of salinity and temperature of Shira Lake are in good agreement with field measurement data for each season. Additionally, we focussed on the redox zone, which is the zone in which the aerobic layers of a water column meet the anaerobic ones. Hyperactivity of plankton communities is observed in this zone in lakes with hydrogen sulphide monimolimnion, and Lake Shira is among them. The location of the redox zone in the lake, which is estimated from field measurements, coincides with a sharp increase in density (the pycnocline) during autumn and winter. During spring and summer, the redox zone is deeper than the pycnocline. The location of pycnocline calculated with the hydro physical model is in good agreement with field measurement data.


Доп.точки доступа:
Genova, S.N.; Генова, Светлана Николаевна; Belolipetskii, V.M.; Белолипецкий, Виктор Михайлович; Rogozin, D.Y.; Degermendzhy, A.G.; Mooij, W.M.

[Text] / V.M. Belolipetskii, P.V. Belolipetskii // Russ. J. Numer. Anal. Math. Model. - 2010. - Vol. 25, Is. 1. - pp. 1-14, DOI 10.1515/RJNAMM.2010.001. - Cited References: 13. - The work was supported by the Russian Foundation for Basic Research (07-01-00153) and Interdisciplinary Project No. 95 of the Siberian Branch of the Russian Academy of Sciences. . - ISSN 0927-6467РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: A system of equations of geophysical hydrothermodynamics of the ocean in the Boussinesq, hydrostatic, and 'rigid lid' approximations is used for description of stratified flows in landlocked reservoirs. A numerical algorithm is considered for flows two-dimensional in the vertical plane. This algorithm is based on the method of splitting with respect to physical processes, the finite element method, and the upstream difference scheme. The numerical algorithm has been checked on test problems. The model was used for determination of wind circulation and vertical distributions of temperature and salinity in the Shira Lake. The results of numerical modelling are in good agreement with actual data.


Доп.точки доступа:
Belolipetskii, V.M.; Белолипецкий, Виктор Михайлович; Belolipetskii, P.V.; Белолипецкий, Павел Викторович

/ M. Varygina // Proceedings of XLI International Summer School–Conference APM 2013. - 2013. - P107-113
Аннотация: Parallel computational algorithms for the numerical modeling of dynamic interactions of elastic blocks through thin elastic and viscoelastic interlayers in structurally inhomogeneous medium such as rock are developed. Monotonous grid-characteristic ENO-scheme with the balanced number of time steps in blocks and interlayers is used for the numerical solution. The algorithms are implemented in 1d and 2d cases with the CUDA technology (Compute Unified Device Architecture) for supercomputers with graphics processing units. The results of numerical analysis demonstrate peculiar quality of planar wave propagation in materials with layered microstructure.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Варыгина, Мария Петровна

[Текст] / Е.А. Новиков // Компьютерное моделирование 2013 : труды международной научно-технической конференции. - Санкт-Петербург, 2013. - С. 39-44
Аннотация: Is constructed the method of second order of accuracy for solution of additive stiff systems of ordinary differential equations. The inequalities for control of accuracy are obtained. The results of calculation are presented.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Novikov E.A.

[Текст] : статья / I.I. Ryzhkov // Journal of Siberian Federal University. Mathematics & Physics = Журнал Сибирского федерального университета. Математика и физика. - 2008. - Т. 1, № 4. - С. 410-431
Аннотация: The differential equations describing convection in binary mixture with Soret and Dufour effects are considered. The symmetry classification of these equations with respect to the constant parameters is made. It is shown that a generator producing equivalence transformations of constants is defined accurately up to a factor arbitrarily depending on these constants. The equivalence group admitted by the governing equations is calculated. Using this group, a transformation connecting the systems with and without Soret and Dufour terms is derived. In pure Soret case, it reduces to a linear change of temperature and concentration. The presence of Dufour effect requires an additional change of thermal diffusivity and diffusion coefficient. A scheme for reducing an initial and boundary value problem for Soret–Dufour equations to a problem for the system without these effects is proposed.

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Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Рыжков, Илья Игоревич

[Text] : статья / S. Arcidiacono, J. Mantzaras, I. V. Karlin // Physical review E. - 2008. - Vol. 78. - Ст. 046711, DOI 10.1103/PhysRevE.78.046711 . - ISSN 1539-3755
Аннотация: A lattice Boltzmann model is developed to simulate finite-rate catalytic surface chemistry. Diffusive wall boundary conditions are established to account for catalytic reactions in multicomponent mixtures. Implementation of wall boundary conditions with chemical reactions is based on a general second-order accurate interpolation scheme. Results of lattice Boltzmann simulations for a four-component mixture with a global catalytic methane oxidation reaction in a straight channel are in excellent agreement with a finite volume Navier-Stokes solver in terms of both the flow field and species concentrations.

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Mantzaras, J.; Karlin, I.V.; Карлин, Илья Вениаминович

[Text] / N. V. Erkaev, V. S. Semenov, H. K. Biernat // COMPARATIVE RECONNECTION STUDIES AT THE SUN AND IN PLANETARY MAGNETOSPHERES. Ser. ADVANCES IN SPACE RESEARCH : PERGAMON-ELSEVIER SCIENCE LTD, 2002. - Vol. 29: D0 1-E3 1 Symposium of COSPAR Scientific Commission D held at the 33rd COSPAR Scientific Assmbly (JUL, 2000, WARSAW, POLAND), Is. 7. - P1075-1080, DOI 10.1016/S0273-1177(02)00024-8. - Cited References: 15 . - ISBN 0273-1177РУБ Engineering, Aerospace + Astronomy & Astrophysics + Geosciences, Multidisciplinary + Meteorology & Atmospheric Sciences

Аннотация: Using a two-dimensional, incompressible magnetohydrodynamic (MHD) model, we study unsteady reconnection of antiparallel magnetic fields in the symmetric case. The magnetic reconnection process is initiated by variation of a local resistivity assumed to be a given function of time and spatial coordinates. The diffusion region of reconnection is treated as a thin boundary layer where the perpendicular components of magnetic field and velocity are much smaller than the components of these quantities along the layer. The unsteady MHD equations are solved by a two-step finite difference numerical scheme with an implicit approximation of the magnetic diffusion terms in a uniform right angle grid. In the numerical study, we use the initial conditions related to a uniform current layer without any motion of the plasma. The time-dependent reconnection process is characterized by the following important parameters: A timescale of the local resistivity, a length scale of the local resistivity, a local Reynolds number determined for the maximum resistivity and the length scale of the diffusion region. The numerical results show that the Petschek type reconnection is realized for the sufficiently small length scale and large time scale of the local resistivity, and a moderate local Reynolds number. Using unsteady numerical MHD solution obtained for the diffusion region, we determine the reconnection rate as a function of time by matching of the outer Petschek solution and the internal diffusion region solution. (C) 2002 COSPAR, Published by Elsevier Science Ltd. All rights reserved.


Доп.точки доступа:
Erkaev, N.V.; Еркаев, Николай Васильевич; Semenov, V.S.; Biernat, H.K.

[Text] / D. B. Korovinskiy [et al.] // Adv. Space Res. - 2011. - Vol. 48, Is. 9. - P1531-1536, DOI 10.1016/j.asr.2011.07.008. - Cited References: 12. - This work is supported by the Austrian Science Fund under project 1193-N16, by RFBR Grant No. 09-05-91000-ANF-a, by SPSU grant No. 11.38.47.2011, and by the European Union Seventh Framework Programme [FP7/2007-2013] under grant agreement No. 269198 - Geoplasmas (Marie Curie International Research Staff Exchange Scheme). V.S. Semenov thanks also ISSI for hospitality and financial support. . - ISSN 0273-1177РУБ Astronomy & Astrophysics + Geosciences, Multidisciplinary + Meteorology & Atmospheric Sciences

Аннотация: A linear MHD instability of the electric current sheet, characterized by a small normal magnetic field component, varying along the sheet, is investigated. The tangential magnetic field component is modeled by a hyperbolic function, describing Harris-like variations of the field across the sheet. For this problem, which is formulated in a 3D domain, the conventional compressible ideal MHD equations are applied. By assuming Fourier harmonics along the electric current, the linearized 3D equations are reduced to 2D ones. A finite difference numerical scheme is applied to examine the time evolution of small initial perturbations of the plasma parameters. This work is an extended numerical study of the so called "double gradient instability", - a possible candidate for the explanation of flapping oscillations in the magnetotail current sheet, which has been analyzed previously in the framework of a simplified analytical approach for an incompressible plasma. The dispersion curve is obtained for the kink-like mode of the instability. It is shown that this curve demonstrates a quantitative agreement with the previous analytical result. The development of the instability is investigated also for various enhanced values of the normal magnetic field component. It is found that the characteristic values of the growth rate of the instability shows a linear dependence on the square root of the parameter, which scales uniformly the normal component of the magnetic field in the current sheet. (C) 2011 COSPAR. Published by Elsevier Ltd. All rights reserved.


Доп.точки доступа:
Korovinskiy, D.B.; Ivanova, V.V.; Erkaev, N.V.; Еркаев, Николай Васильевич; Semenov, V.S.; Ivanov, I.B.; Biernat, H.K.; Zellinger, M.

/ M. G. Dmitriev, A. M. Klishevic // Systems and Control Letters. - 1984. - Vol. 4, Is. 4. - P223-226 . - ISSN 0167-6911
Аннотация: Two schemes of iterative solution of optimal control problems with fast and slow motions are considered here. The first is connected with the iterative solution of corresponding necessary optimality conditions and is adjoined to the iterative method of Ju.P. Boglaev for solution of singularly perturbed boundary value problems. The second scheme is applied to convex problems and is conceptionally close to methods of minimization with errors under computation. The distinguishing feature of both methods is the decomposition of restrictions on every iteration and the possibility of their integration in different scales of time. В© 1984 Elsevier Science Publishers B.V. (North-Holland).

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Держатели документа:
Computing Center, Academy of Sciences, Siberian Branch, Akademgorodok, Krasnoyarsk, 660036 USSR
ИВМ СО РАН

Доп.точки доступа:
Dmitriev, M.G.; Klishevic, A.M.

[Text] / S. V. BELOKOPYTOV, M. G. DMITRIEV // Syst. Control Lett. - 1986. - Vol. 8, Is. 2. - P129-135, DOI 10.1016/0167-6911(86)90071-X. - Cited References: 11 . - ISSN 0167-6911РУБ Automation & Control Systems + Operations Research & Management Science


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Держатели документа:
ACAD SCI USSR,CTR COMP,KRASNOYARSK 660036,USSR
ИВМ СО РАН
Доп.точки доступа:
BELOKOPYTOV, S.V.; DMITRIEV, M.G.

[Text] / T. P. PUSHKAREVA, V. I. BYKOV // React. Kinet. Catal. Lett. - 1992. - Vol. 48, Is. 1. - P127-133, DOI 10.1007/BF02070077. - Cited References: 5 . - ISSN 0133-1736РУБ Chemistry, Physical

Аннотация: Parametric analysis of the kinetic model of a catalytic reaction corresponding to the scheme Z half arrow right over half arrow left X, X + 2Z half arrow right over half arrow left 3Z, Z half arrow right over half arrow left Y has been carried out. Bifurcative curves - multiplicity and neutrality curves of steady states - have been obtained in the explicit form. The region where oscillations exist has been established.

WOS,
Scopus

Держатели документа:
Computing Center, Krasnoyarsk, 660036, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
PUSHKAREVA, T.P.; BYKOV, V.I.; Быков, Валерий Иванович

/ G. G. Krushenko [и др.] // Metallovedenie i Termicheskaya Obrabotka Metallov. - 1993. - Is. 3. - P3-4 . - ISSN 0026-0819
Аннотация: Blades of a three-blade boat screw propeller 40 mm in diameter chill cast from the AL2 alloy (11.2% Si; 0.4% Fe; 0.01% Mg; 0.02% Cu; Zn - traces) were studied. A method of correcting ultimate rupture strength ?v during tensile tests was suggested. Making allowances for ?v calculation results using the method described, the optimal conditions of thermocyclic treatment (TCT) of the AL2 alloy were chosen. TCT of the blades was carried out by the scheme 500-20В°C or 550-20В°C with the number of cycles n=3,5,7 allowance to stand for 10 min at the highest and lowest temperatures and cooling from the highest temperature in the final cycle either in the air or in water. The highest ?v values are attained after TCT by the scheme 500-20В°C (N=3) with subsequent cooling in water.

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Держатели документа:
Vychislitel'nyj Tsentr Sibirskogo, Otdeleniya RAN, Krasnoyarsk, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Krushenko, G.G.; Крушенко, Генрих Гаврилович; Anikina, V.I.; Balashov, B.A.; Vasilenko, Z.A.; Kovaleva, A.A.

[Text] / T. P. PUSHKAREVA, V. I. BYKOV // React. Kinet. Catal. Lett. - 1993. - Vol. 49, Is. 1. - P45-51, DOI 10.1007/BF02084027. - Cited References: 5 . - ISSN 0133-1736РУБ Chemistry, Physical

Аннотация: The number of steady states and their stability is analyzed for the kinetic model of non-autocatalytic chemical reactions corresponding to the scheme 1. 2Z half arrow right over half arrow left 2X; 2. Z half arrow right over half arrow left Y; 3. X + Y --> 2Z; 4. X half arrow right over half arrow left S The regions of three steady states and self-oscillations have been established in various parametric planes.

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Scopus

Держатели документа:
Computer Center, Krasnoyarsk, 660036, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
PUSHKAREVA, T.P.; BYKOV, V.I.; Быков, Валерий Иванович

/ T. P. Pushkareva, V. I. Bykov // Reaction Kinetics & Catalysis Letters. - 1994. - Vol. 52, Is. 1. - P87-93, DOI 10.1007/BF02129854 . - ISSN 0133-1736
Аннотация: The bifurcation curves of the multiplicity and neutrality of steady states are constructed for the kinetic model, corresponding to the reaction scheme {Mathematical expression} The region of self-oscillation is singled out. В© 1994 Akademiai Kiado.

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Держатели документа:
Computer Center, Krasnoyarsk, 660036, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Pushkareva, T.P.; Bykov, V.I.; Быков, Валерий Иванович

/ I. I. Koksharov // Mech. Compos. Mater. - 1996. - Vol. 32: IX International Conference on the Mechanics of Composite Materials (OCT, 1995, RIGA, LATVIA), Is. 4. - P374-380, DOI 10.1007/BF02254751. - Cited References: 14 . - ISSN 0191-5665РУБ Mechanics + Materials Science, Composites + Polymer Science

Аннотация: In the present work, interest is centered on the theory of fracture and practical approaches to reliability estimation of unidirectional composite materials which are based on it. Fracture mechanics is considered not as a theory of macrocracks but as mechanics of fracture mechanisms of the composites with allowance made for probability estimation. A model of composite material with fibers eliminated from the carrying scheme and parameters specific to the stress-strain-damage state (SSDS) was considered. According to the model, during loading, self-accelerated energy rise is accounted for by structural damages growth - the catastrophe takes place. The model allows us to calculate the critical stress. The composites redistribute forces from overloading zones to neighboring ones by microstructural deformations and damages. It is the effect of reservation of carrying ability. Due to this effect, low-value probability of fracture is sufficiently less for the composite than for homogeneous materials. The approach allows us to evaluate the reliability function for Both static loading and fatigue.

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Scopus

Держатели документа:
Computing Center, Russian Academy of Sciences, Krasnoyarsk, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Koksharov, I.I.; Кокшаров, Игорь Ильич