Труды сотрудников ИВМ СО РАН

[Text] / G.V. Makarskaya, S.V. Tarskikh // Hydrobiological Journal. - 2012. - Vol. 48, Is. 1. - pp. 83-90, DOI 10.1615/HydrobJ.v48.i1.100 . - ISSN 0018-8166
Аннотация: Paper deals with results of monitoring of the quantitative and functional characteristics of the peripheral blood cells of different fish species of the middle section of the Krasnoyarsk reservoir over the years 2000-2009. Seasonal dynamics of the oxygen metabolism of the blood cells of different fishes was characterized by similar changes of the non-specific resistance in the spawning and post-spawning period under different level of the water filling of the reservoir. В© 2012 Begell House, Inc.

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Доп.точки доступа:
Makarskaya, G.V.; Макарская, Галина Владимировна; Tarskikh, S.V.

[Text] / L.A. Shchur // Hydrobiological Journal. - 2012. - Vol. 48, Is. 1. - pp. 3-12, DOI 10.1615/HydrobJ.v48.i1.10 . - ISSN 0018-8166
Аннотация: Three following periods were distinguished in the Krasnoyarsk Reservoir in 2000-2009: With low, middle, and high water levels. The largest number of phytoplankton species and infraspecific taxa (193) was found at a middle water level. Cyanophyta gave way to Bacillariophyta, which is indicative of the decrease in the trophic level of the reservoir. In terms of phytoplankton biomass and saprobic index, water quality in the reservoir corresponds to the third class and ?-mesosaprobic zone. В© 2012 Begell House, Inc.

Scopus


Доп.точки доступа:
Щур, Людмила Александровна

/ A.V. Korobko [et al.] // 2013 36th International Convention on Information and Communication Technology, Electronics and Microelectronics, MIPRO 2013 - Proceedings. - 2013. - 2013 36th International Convention on Information and Communication Technology, Electronics and Microelectronics, MIPRO 2013 (20 May 2013 through 24 May 2013, Opatija) Conference code: 100031. - Ст. 6596432. - P1161-1166 . -
Аннотация: The paper focuses on implementation of the integral OLAP-model constructing method for the emergency risk estimation in the case of Krasnoyarsk region. Emergency, meteorological, hydrological, seismological, radiation, flood, housing and communal situations are observed. The process of an analytical query constructing support based on integral OLAP-model is described. Discovered nonstandard analytical dependencies between monitoring data and correspond cube-concept of the integral OLAP-model are depicted. The paper is aimed at representing of the integral OLAP-model advantages and its potential. В© 2013 MIPRO.

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Доп.точки доступа:
Korobko, A.V.; Коробко, Анна Владимировна; Penkova, T.G.; Пенькова, Татьяна Геннадьевна; Nicheporchuk, V.V.; Ничепорчук, Валерий Васильевич; Mihalev, A.S.

[Text] / N. Shaparev, N. Astafiev // Int. J. Sustain. Dev. World Ecol. - 2008. - Vol. 15, Is. 6. - P574-583, DOI 10.3843/SusDev.15.6:9. - Cited References: 23. - The work was carried out with financial support from the RFBR-KRFS project (No. 07-05-96802) and a grant from the Russian Federation President for leading scientific schools (SS3428.2006.9). . - ISSN 1350-4509РУБ Ecology

Аннотация: A system of sustainable water management is suggested. This includes natural water production; acceptable sanitary-epidemiological water state; conservation and maintenance of biological water diversity; development of socioeconomic functions of water management; and instruments for water policy to conserve sustainable management of water consumption and protect consumers from injurious water effects. The developed system was applied to analyse the situation in the Yenisei River basin (Russia). Analysis in the basin showed that it is currently unsustainable: the share of purified water has not increased; water cost per unit production is high; the quality of water in the Yenisei River is still characterised as 'polluted'; some people in the basin drink water containing injurious substances; and both purification facilities and water supply systems are in an unsatisfactory state. Hence, the financing of hydrological work is currently inadequate.


Доп.точки доступа:
Astafiev, N.; Шапарев, Николай Якимович

[Text] / A. Shevyrnogov [et al.] // Adv. Space Res. - 2008. - Vol. 41, Is. 1. - P36-40, DOI 10.1016/j.asr.2007.02.008. - Cited References: 7 . - ISSN 0273-1177РУБ Astronomy & Astrophysics + Geosciences, Multidisciplinary + Meteorology & Atmospheric Sciences

Аннотация: The paper shows the efficiency of an application of the vegetation index image time series to determine long-term vegetation dynamics. The influence of large industrial centers of Siberia on the near-by vegetation is demonstrated. The analysis of the data shows that the influence of industrial waste is stronger in the Siberian North. These regions are characterized by critical conditions for vegetation existence. In the south of the Krasnoyarsk region, human impact is also important, but the possibility of vegetation self-rehabilitation is higher. The present-day economic situation in Russia is unique, with a temporary abrupt fall of industrial production and its following increase. Thus, we managed to analyze the degree of human impact on the environment within a relatively short-time interval. (C) 2007 Published by Elsevier Ltd on behalf of COSPAR.


Доп.точки доступа:
Shevyrnogov, A.; Vysotskaya, G.; Высоцкая, Галина Степановна; Sukhinin, A.; Frolikova, O.; Tchernetsky, M.

[Text] / A. V. Timofeenko // Dokl. Math. - 2009. - Vol. 80, Is. 2. - P720-723, DOI 10.1134/S1064562409050238. - Cited References: 10. - The work was supported by the Krasnoyarsk State Pedagogical University (project no. 09-09-1/NSh) and by the Russian Foundation for Basic Research (project nos. 09-01-00395-a and 09-01-00717-a). . - ISSN 1064-5624РУБ Mathematics



Доп.точки доступа:
Тимофеенко, Алексей Викторович; Krasnoyarsk State Pedagogical University [09-09-1/NSh]; Russian Foundation for Basic Research [09-01-00395-a, 09-01-00717-a]

[Text] / I. I. Ryzhkov, A. V. Minakov // Int. J. Heat Mass Transf. - 2014. - Vol. 77. - P956-969, DOI 10.1016/j.ijheatmasstransfer.2014.05.045. - Cited References: 44. - This work is supported the Krasnoyarsk Regional Foundation of Scientific and Technical Activity (Grant No. 02/13) and the Russian President Grant No. MK-6296.2013.8. . - ISSN 0017-9310. - ISSN 1879-2189РУБ Thermodynamics + Engineering, Mechanical + Mechanics

Аннотация: Laminar convective heat transfer of water-alumina nanofluid in a circular tube with uniform heat flux is investigated numerically on the basis of two-component model, which takes into account nanoparticle transport by diffusion and thermophoresis. A new expression for thermophoretic mobility is suggested on the basis of existing experimental results and theoretical concepts. It is shown that thermophoresis leads to a significant reduction of nanoparticle volume fraction in the boundary layer near the wall. The corresponding viscosity reduction causes the velocity increase near the wall and flattening of velocity profile near the tube axis to keep the mass flow rate constant. The decrease of wall shear stress leads to the decrease of the required pressure drop. The calculations for two-component model provide higher values of the local and average heat transfer coefficients in comparison with the one-component model. The difference does not exceed 10% and decreases with increasing the thermal Peclet number. The calculations for one-component model show the independence of local and average Nusselt numbers on the nanoparticle volume fraction. The results for two-component model predict the increase of Nusselt number when the thermophoretic effect becomes stronger. The effectiveness of water-alumina nanofluid is analyzed by plotting the average heat transfer coefficient against the required pumping power. It is shown that the nanofluid shows better performance than the base fluid in the range of low pumping power and, correspondingly, low inlet velocity. (C) 2014 Elsevier Ltd. All rights reserved.

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Держатели документа:
[Ryzhkov, Ilya I.] SB RAS, Inst Computat Modelling, Krasnoyarsk 660036, Russia
[Minakov, Andrey V.] Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia
ИВМ СО РАН

Доп.точки доступа:
Ryzhkov, I.I.; Рыжков, Илья Игоревич; Minakov, A.V.; Минаков, Андрей Викторович; Krasnoyarsk Regional Foundation of Scientific and Technical Activity [02/13]; Russian President Grant [MK-6296.2013.8]

/ V. M. Belolipetskii, S. N. Genova // Russ. J. Numer. Anal. Math. Model. - 1997. - Vol. 12, Is. 4. - P319-334, DOI 10.1515/rnam.1997.12.4.319. - Cited References: 13 . - ISSN 0927-6467РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: The work deals with the numerical study of hydrothermal processes in well-drained basins of large extent. We consider approximate mathematical models for studying slow flows of a stratified fluid and estimating the flow pattern in the region adjacent to the water intake. We describe the methods of determining the heat exchange through the free surface of the basin and wind stress. We give examples of calculations of the schematic reservoirs of the Krasnoyarsk, Turukhansk, and Boguchansk Hydros.

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Scopus

Держатели документа:
Computer Center, Siberian Br. Russ. Acad. of Sci., Krasnoyarsk 660036, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Belolipetskii, V.M.; Белолипецкий, Виктор Михайлович; Genova, S.N.; Генова, Светлана Николаевна

[Text] / S. V. Kozlova, I. I. Ryzhkov // Eur. Phys. J. E. - 2014. - Vol. 37, Is. 9. - Ст. 87, DOI 10.1140/epje/i2014-14087-0. - Cited References: 44. - The authors are grateful to Dr. A. V. Minakov for assistance in ANSYS Fluent numerical calculations. This work is supported the Krasnoyarsk Regional Foundation of Scientific and Technical Activity (Grant 02/13). . - ISSN 1292-8941. - ISSN 1292-895XРУБ Chemistry, Physical + Materials Science, Multidisciplinary + Physics, Applied + Polymer Science

Аннотация: In this paper, laminar convective heat transfer of water-alumina nanofluid in a circular tube with uniform heat flux at the tube wall is investigated. The investigation is performed numerically on the basis of two-component model, which takes into account nanoparticle transport by diffusion and thermophoresis. Two thermal regimes at the tube wall, heating and cooling, are considered and the influence of nanoparticle migration on the heat transfer is analyzed comparatively. The intensity of thermophoresis is characterized by a new empirical model for thermophoretic mobility. It is shown that the nanoparticle volume fraction decreases (increases) in the boundary layer near the wall under heating (cooling) due to thermophoresis. The corresponding variations of nanofluid properties and flow characteristics are presented and discussed. The intensity of heat transfer for the model with thermophoresis in comparison to the model without thermophoresis is studied by plotting the dependence of the heat transfer coefficient on the Peclet number. The effectiveness of water-alumina nanofluid is analyzed by plotting the average heat transfer coefficient against the required pumping power. The analysis of the results reveals that the water-alumina nanofluid shows better performance in the heating regime than in the cooling regime due to thermophoretic effect.

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Держатели документа:
[Kozlova, Sofya V.
Ryzhkov, Ilya I.] Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia
ИВМ СО РАН

Доп.точки доступа:
Kozlova, S.V.; Ryzhkov, I.I.; Рыжков, Илья Игоревич; Krasnoyarsk Regional Foundation of Scientific and Technical Activity [02/13]

/ A. P. Shevyrnogov, M. Y. Chernetskiy, G. S. Vysotskaya // Izv. Atmos. Ocean Phys. - 2013. - Vol. 49, Is. 9. - P. 1047-1056, DOI 10.1134/S0001433813090132 . - ISSN 0001-4338
Аннотация: It is found that the nonlinear positive Normalized Difference Vegetation Index (NDVI) trend of mountain taiga in the south of Krasnoyarsk Krai has been negative since 1999-2000. A comparison with the boreal belt of northern Eurasia showed that, though still nonnegative, the positive trend has distinctly decreased to nearly a plateau. A trend analysis of radiation temperature of the surface revealed that the temperature shows a decreasing trend for the selected region of mountainous taiga and an increasing trend for northern Eurasia. We compared air-temperature data from the Yermakovskoe meteorological station to eliminate a preliminary data-processing error. Regression analysis demonstrated a fairly high degree of correlation. Also, we found a quite high degree of correlation between time series and trends of air temperature and NDVI. Trends in air temperature in northern Eurasia according to NCEP-DOE Reanalysis 2 data also confirm the trend found on the basis of satellite data. © 2013 Pleiades Publishing, Ltd.

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Доп.точки доступа:
Shevyrnogov, A.P.; Chernetskiy, M.Y.; Vysotskaya, G.S.; Высоцкая, Галина Степановна

[Text] / M. Chernetskiy [et al.] // Adv. Space Res. - 2009. - Vol. 43, Is. 2. - P. 206-213, DOI 10.1016/j.asr.2008.04.002. - Cited References: 24 . - ISSN 0273-1177РУБ Astronomy & Astrophysics + Geosciences, Multidisciplinary + Meteorology & Atmospheric Sciences

Аннотация: In this work historical investigations and modern results of classification of the Krasnoyarsk Reservoir are presented. The paper presents results of studying the dynamics of phytopigments and other optically active components, using multispectral satellite data. Several approaches to interpreting satellite data for optically complex inland water bodies are offered. Based on results of historical investigations it is shown that the spatial distribution of phytoplankton in the reservoir stems back to the time of its formation. Color index in the red spectral region (CIR) is introduced. A relationship between the color index and chlorophyll concentration is investigated. The CIR, derived from the AVHRR data, has been found to be related to chlorophyll concentration. Based on MODIS data, the waters of the Krasnoyarsk Reservoir have been classified in accordance with their optical spectral variability, using the technique of unsupervised Iso-Data classification. An empirical relationship between multispectral MODIS data and the ground-truth measurements of chlorophyll concentration has been found. (C) 2008 COSPAR. Published by Elsevier Ltd. All rights reserved.


Доп.точки доступа:
Chernetskiy, M.; Shevyrnogov, A.; Shevnina, S.; Vysotskaya, G.; Высоцкая, Галина Степановна; Sidko, A.

[Text] / D. B. Korovinskiy [et al.] // Phys. Plasmas. - 2015. - Vol. 22, Is. 1. - Ст. 012904, DOI 10.1063/1.4905706. - Cited References:85. - Study of the current sheet stability was supported by Russian ScientificFund (RSF) Grant No. 14-17-00072. The work of H.K.B. was supported bythe Austrian Science Fund (FWF): I193-N16. 3D simulations were conductedusing resources provided by the Swedish National Infrastructure forComputing (SNIC) at KTH, Stockholm, Sweden, Grant Nos. 2014-1-176 and2014-8-38. N.V.E. and D.B.K. thank also ISSI for hospitality andfinancial support. Authors thank the reviewer for his substantial helpin improving the manuscript. . - ISSN 1070-664X. - ISSN 1089-7674РУБ Physics, Fluids & Plasmas

Аннотация: The role of the dawn-dusk magnetic field component in stabilizing of the magnetotail flapping oscillations is investigated in the double-gradient model framework (Erkaev et al., Phys. Rev. Lett. 99, 235003 (2007)), extended for the magnetotail-like configurations with non-zero guide field By. Contribution of the guide field is examined both analytically and by means of linearized 2-dimensional (2D) and non-linear 3-dimensional (3D) MHD modeling. All three approaches demonstrate the same properties of the instability: stabilization of current sheet oscillations for short wavelength modes, appearing of the typical (fastest growing) wavelength lambda(peak) of the order of the current sheet width, decrease of the peak growth rate with increasing B-y value, and total decay of the mode for B-y similar to 0: 5 in the lobe magnetic field units. Analytical solution and 2D numerical simulations claim also the shift of lambda(peak) toward the longer wavelengths with increasing guide field. This result is barely visible in 3D simulations. It may be accounted for the specific background magnetic configuration, the pattern of tail-like equilibrium provided by approximated solution of the conventional Grad-Shafranov equation. The configuration demonstrates drastically changing radius of curvature of magnetic field lines, R-c. This, in turn, favors the "double-gradient" mode (lambda R-c) in one part of the sheet and classical "ballooning" instability (lambda R-c) in another part, which may result in generation of a "combined" unstable mode. (C) 2015 AIP Publishing LLC.

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Держатели документа:
St Petersburg State Univ, Petrodvorets 198504, Russia.
Swedish Inst Space Phys, SE-75121 Uppsala, Sweden.
Russian Acad Sci, Inst Computat Modelling, Siberian Branch, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
Space Res Inst RAS, Moscow 117997, Russia.
Petersburg Nucl Phys Inst, Div Theoret Phys, Gatchina 188300, Russia.
Katholieke Univ Leuven, Dept Wiskunde, Ctr Plasma Astrofys, B-3001 Leuven, Belgium.
KTH Royal Inst Technol, PDC Ctr High Performance Comp, SE-10044 Stockholm, Sweden.
Austrian Acad Sci, Space Res Inst, A-8042 Graz, Austria.
Graz Univ, Inst Phys, A-8010 Graz, Austria.
ИВМ СО РАН

Доп.точки доступа:
Korovinskiy, D.B.; Divin, A.V.; Erkaev, N.V.; Еркаев, Николай Васильевич; Semenov, V.S.; Artemyev, A.V.; Ivanova, V.V.; Ivanov, I.B.; Lapenta, G.; Markidis, S.; Biernat, H. K.; Russian Scientific Fund (RSF) [14-17-00072]; Austrian Science Fund[(FWF): I193-N16]; Swedish National Infrastructure for Computing (SNIC)at KTH, Stockholm, Sweden [2014-1-176, 2014-8-38]; ISSI

[Text] / P. V. Belolipetskii, S. I. Bartsev, A. G. Degermendzhi // Dokl. Earth Sci. - 2015. - Vol. 460, Is. 1. - P46-49, DOI 10.1134/S1028334X1501002X. - Cited References:15. - This work was supported by the Program of presidium of Russian Academyof Science "Research Scientific Studies for Development of Arctic Zoneof the Russian Federation," project no. 12. . - ISSN 1028-334X. - ISSN 1531-8354РУБ Geosciences, Multidisciplinary


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Полный текст

Держатели документа:
Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk, Russia.
Russian Acad Sci, Inst Biophys, Siberian Branch, Krasnoyarsk, Russia.
ИВМ СО РАН
ИБФ СО РАН

Доп.точки доступа:
Belolipetskii, P.V.; Белолипецкий, Павел Викторович; Bartsev, S.I.; Degermendzhi, A.G.; presidium of Russian Academy of Science "Research Scientific Studies forDevelopment of Arctic Zone of the Russian Federation" [12]

[Text] / V. V. Zavoruev, E. N. Zavorueva // Proceedings of SPIE. - 2014. - Vol. 9292: 20th International Symposium on Atmospheric and Ocean Optics - (JUN 23-27, 2014, Novosibirsk, RUSSIA), DOI 10.1117/12.2073138. - Cited References:13 . - ISSN 0277-786XРУБ Meteorology & Atmospheric Sciences + Oceanography + Optics + Physics,


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Держатели документа:
Inst Computat Modeling SB RAS, Krasnoyarsk 660036, Russia.
ИВМ СО РАН

Доп.точки доступа:
Zavoruev, Valeriy V.; Заворуев, Валерий Владимирович; Zavorueva, Elena N.

[Text] / N. V. Erkaev [et al.] // Mon. Not. Roy. Astron. Soc. - 2015. - Vol. 448, Is. 2. - P1916-1921, DOI 10.1093/mnras/stv130. - Cited References:28. - The authors acknowledge the support by the FWF NFN project S11601-N16 'Pathways to Habitability: From Disks to Active Stars, Planets and Life', and the related FWF NFN subproject, S11607-N16 'Particle/Radiative Interactions with Upper Atmospheres of Planetary Bodies Under Extreme Stellar Conditions'. PO acknowledges support from the FWF project P22950-N16. NVE acknowledges support by the RFBR grant no. 15-05-00879-a. Finally, the authors thank the International Space Science Institute (ISSI) in Bern, and the ISSI team 'Characterizing stellar-and exoplanetary environments'. . - ISSN 0035-8711. - ISSN 1365-2966РУБ Astronomy & Astrophysics

Аннотация: By considering martian-like planetary embryos inside the habitable zone of solar-like stars we study the behaviour of the hydrodynamic atmospheric escape of hydrogen for small values of the Jeans escape parameter beta < 3, near the base of the thermosphere, that is defined as a ratio of the gravitational and thermal energy. Our study is based on a 1D hydrodynamic upper atmosphere model that calculates the volume heating rate in a hydrogen-dominated thermosphere due to the absorption of the stellar soft X-ray and extreme ultraviolet (XUV) flux. In case of a monatomic gas, we find that when the beta value near the mesopause/homopause level exceeds a critical value of similar to 2.5, there exists a steady hydrodynamic solution with a smooth transition from subsonic to supersonic flow. For a fixed XUV flux, the escape rate of the upper atmosphere is an increasing function of the temperature at the lower boundary. Our model results indicate a crucial enhancement of the atmospheric escape rate, when the Jeans escape parameter beta decreases to this critical value. When beta becomes <= 2.5, there is no stationary hydrodynamic transition from subsonic to supersonic flow. This is the case of a fast non-stationary atmospheric expansion that results in extreme thermal atmospheric escape rates.

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Держатели документа:
Inst Computat Modelling SB RAS, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
Austrian Acad Sci, Space Res Inst, A-8042 Graz, Austria.
Graz Univ, Inst Phys, A-8010 Graz, Austria.
Russian Acad Sci, Polar Geophys Inst, Murmansk 183010, Russia.
ИВМ СО РАН

Доп.точки доступа:
Erkaev, N.V.; Еркаев, Николай Васильевич; Lammer, H.; Odert, P.; Kulikov, Yu. N.; Kislyakova, K.G.; FWF NFN [S11601-N16, S11607-N16]; FWF [P22950-N16]; RFBR [15-05-00879-a]

/ I.V. Verevkin // Ufa Math. J. - 2014. - Vol. 6, Is. 4. - P60-67, DOI 10.13108/2014-6-4-60 . - ISSN 2304-0122
Аннотация: We introduce Euler-Darboux transformation for non-homogeneous differential equations with the right-hand side being a generalized function. As an example, we construct the fundamental solutions for Klein-Gordon-Fock and Schrodinger equations with variable coefficients describing a particle in external scalar field. © Verevkin I.V. 2014.

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Держатели документа:
Institute of computational modelling SB RAS, Akademgorodok, 50/44Krasnoyarsk, Russian Federation

Доп.точки доступа:
Verevkin, I.V.; Веревкин, Игорь Викторович

[Text] / A. V. Andrianova // Contemp. Probl. Ecol. - 2015. - Vol. 8, Is. 3. - P358-367, DOI 10.1134/S1995425515030038. - Cited References:28. - The work was financially and technically supported by Special Design and Technological Bureau Nauka, Siberian Branch, Russian Academy of Sciences, within the framework of integrated research included in the program for supporting the permanent establishments of the Siberian Branch institutes of the Russian Academy of Sciences. . - ISSN 1995-4255. - ISSN 1995-4263РУБ Ecology

Аннотация: This article presents the dominant species and groups and the spatial distribution and structural indices of benthic communities in small mountain streams located on the territory of the Ergaki Nature Park (in the south of Krasnoyarsk krai). A comparative analysis of bioindicators and metrics, a part of which is used by the European Water Framework Directive to determine water quality, was carried out. It was established that the EPT, BMWP, and IBGN indices have the highest sensitivity, which allows one to recommend their use as standard indices for assessing water quality in the small mountain rivers of the given region. By ranking the obtained biotic indices and metrics with respect to background values, the gradations of water quality were determined and the integral index was introduced.

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Держатели документа:
Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Andrianova, A.V.; Андрианова, Анна Владимировна; Special Design and Technological Bureau Nauka, Siberian Branch, Russian Academy of Sciences

[Text] / V. Shaydurov, A. Vyatkin // AIP Conference Proceedings. - 2015. - Vol. 1648: International Conference on Numerical Analysis and Applied Mathematics (SEP 22-28, 2014, Rhodes, GREECE). - Ст. UNSP 85004, DOI 10.1063/1.4913096. - Cited References:11 . - ISSN 0094-243XРУБ Mathematics, Applied + Physics, Applied

Аннотация: We consider a semi-Lagrangian algorithm and formulate the basic equality for a local temporal-spatial domain. This equality involves integrals over domains at neighboring temporal levels. To get the numerical scheme, we approximate each component of the equality within second-order accuracy. To compute an integral at the previous time level, we make the change of variables. After that the quadrature formulas are implemented with nodes and weights defined with the help of the Cauchy problem for a system of ordinary differential equations.

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Scopus

Держатели документа:
Siberian Fed Univ, Krasnoyarsk 660041, Svobodny Prospe, Russia
Inst Computat Modeling SB RAS, Akademgorodok 660036, Russia

Доп.точки доступа:
Vyatkin, Alexander; Вяткин, Александр Владимирович; Шайдуров, Владимир Викторович

[Text] / O. V. Sadovskaya, V. M. Sadovskii // AIP Conference Proceedings. - 2015. - Vol. 1648: International Conference on Numerical Analysis and Applied Mathematics (SEP 22-28, 2014, Rhodes, GREECE). - Ст. UNSP 630006, DOI 10.1063/1.4912864. - Cited References:5 . - ISSN 0094-243XРУБ Mathematics, Applied + Physics, Applied

Аннотация: Wave processes in blocky media with a large number of elastic blocks, interacting through compliant interlayers, are described by the equations of a piecewise-homogeneous isotropic elastic medium and by the equations of an orthotropic Cosserat continuum. Parallel program systems for numerical implementation of 2D dynamic problems on wave propagation in blocky media are worked out. Computations demonstrating the anisotropy of a blocky medium even for a sufficiently small thickness of interlayers were performed on supercomputers with cluster architecture.

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Держатели документа:
SB RAS, Inst Computat Modeling, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович

[Text] / V. M. Sadovskii, O. V. Sadovskaya // AIP Conference Proceedings. - 2015. - Vol. 1648: International Conference on Numerical Analysis and Applied Mathematics (SEP 22-28, 2014, Rhodes, GREECE). - Ст. UNSP 630005, DOI 10.1063/1.4912863. - Cited References:6 . - ISSN 0094-243XРУБ Mathematics, Applied + Physics, Applied

Аннотация: Mathematical model for the description of deformation of a porous metal is constructed on the basis of generalized rheological method, taking into account change in the resistance to external loads, when the collapse of pores occurs. Irreversible deformation is described with the help of yield condition, modeling the plastic loss of stability of a porous skeleton. For a homogeneous porous medium the fields of displacements and stresses in the problem of radial expansion of spherical and cylindrical cavities under the action of internal pressure considering the effect of collapse of pores are constructed in closed form. The algorithm of numerical realization of the model of dynamic deformation of metal foams on multiprocessor computer systems of the cluster type is worked out.

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Scopus

Держатели документа:
SB RAS, Inst Computat Modeling, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна