Труды сотрудников ИВМ СО РАН

[Text] / N. V. Erkaev [et al.] // Geophys. Res. Lett. - 2011. - Vol. 38. - Ст. L01104, DOI 10.1029/2010GL045998. - Cited References: 20. - This work was done while N.V.E. was on a research visit to the Space Science Center of UNH. This work is supported by RFBR grant N 09-05-91000-ANF_a and also by the Austrian "Fonds zur Forderung der wissenschaftlichen Forschung" under project I 193-N16 and the "Verwaltungsstelle fur Auslandsbeziehungen" of the Austrian Academy of Sciences. Work by C.J.F. was supported by NASA grants NNX10AQ29G and NNX08AD11G. . - ISSN 0094-8276РУБ Geosciences, Multidisciplinary

Аннотация: We study the acceleration of magnetosheath plasma using a semi-analytical magnetic string approach for a range of solar wind Alfven Mach numbers, M-A, between 2 and 20. We work with an IMF vector perpendicular to the solar wind velocity, V-sw, and pointing north. We do not invoke magnetic reconnection. Our results indicate that magnetosheath speeds can exceed the solar wind speed, and the ratio V/V-sw increases with decreasing M-A. Analyzing the dependence of this ratio on M-A, we find that for M-A = 2, maximum V/V-sw approximate to 1.6, and for M-A = 10-20, maximum V/V-sw varies from 1.21 to 1.13. Maximum speeds occur a few Earth radii (R-E) tailward of the dawn-dusk terminator. The thickness of the accelerated flow layer varies as M-A(-2). Taking the magnetopause subsolar distance as 10 R-E, we find typical values for the thickness of similar to 4 R-E for M-A = 3 and 0.35 R-E for M-A = 10. The physical mechanism is that of draping of the magnetic field lines around the magnetosphere, and the associated magnetic tension and total pressure gradient forces acting on the flow. For lower M-A the plasma depletion is stronger, and thus the acceleration produced by the pressure gradient is larger. An additional acceleration is produced by the magnetic tension, which is stronger for smaller M-A. At the dayside the pressure gradient and magnetic tension forces both act in the same direction. But tailward of the terminator the magnetic tension starts to act in the opposite direction to the pressure gradient. When the resulting force vanishes, the highest speed is attained. Citation: Erkaev, N. V., C. J. Farrugia, B. Harris, and H. K. Biernat (2011), On accelerated magnetosheath flows under northward IMF, Geophys. Res. Lett., 38, L01104, doi: 10.1029/2010GL045998.


Доп.точки доступа:
Erkaev, N.V.; Еркаев, Николай Васильевич; Farrugia, C.J.; Harris, B.; Biernat, H.K.

[Text] / I. V. Krasnov, L. P. Kamenshchikov // Opt. Commun. - 2014. - Vol. 312. - P192-198, DOI 10.1016/j.optcom.2013.09.036. - Cited References: 21 . - ISSN 0030-4018. - ISSN 1873-0310РУБ Optics

Аннотация: We present and analyze a novel method of long-time ion trapping. This purely optical method is based on the action of rectified gradient forces on the ions in a 3D dissipative polychromatic optical superlattice which allows one to form super-deep potential wells for the ions. The ion trap presented ensures the possibility of long-time confinement both of single ions and small ordered ensembles of strongly coupled ions, i.e. ion (Coulomb) clusters. We demonstrate, by the numerical simulations of stochastic ion motion, the trapping of two-ion clusters for times exceeding several seconds. (C) 2013 Elsevier B.V. All rights reserved,

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Держатели документа:
ИВМ СО РАН

Доп.точки доступа:
Krasnov, I.V.; Краснов, Игорь Васильевич; Kamenshchikov, L.P.; Каменщиков, Леонид Петрович

[Text] / A. . Renda [et al.] // Europhys. Lett. - 1998. - Vol. 41, Is. 3. - P279-283, DOI 10.1209/epl/i1998-00143-x. - Cited References: 6 . - ISSN 0295-5075РУБ Physics, Multidisciplinary

Аннотация: A new class of lattice BGK models is proposed which is based on a nonperturbative discrete Maxwellian ansatz for the local equilibria. This new class extends the range of stability of previous models.

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Держатели документа:
Univ Roma Tor Vergata, Dipartimento Ingn Meccan, I-00184 Rome, Italy
Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy
RAS, Ctr Comp, Krasnoyarsk 660036, Russia
ИВМ СО РАН

Доп.точки доступа:
Renda, A.; Bella, G.; Succi, S.; Karlin, I.V.; Карлин, Илья Вениаминович

[Text] / I. V. Krasnov, L. P. Kamenshchikov // Laser Phys. - 2015. - Vol. 25, Is. 11. - Ст. 115501, DOI 10.1088/1054-660X/25/11/115501. - Cited References:26 . - ISSN 1054-660X. - ISSN 1555-6611РУБ Optics + Physics, Applied

Аннотация: On the basis of numerical simulations and analytical calculations it is proved that the dissipative optical superlattice induced by the rectified gradient force is able to create and trap cold ion Coulomb clusters. In contrast to our previous work (2014 Opt. Commun. 312 192), in the present paper, we do not use the approximation of slow ions (SI), but take into account the non-conservative nature of the trapping force in the optical superlattice as well as the velocity dependence of the friction coefficient of ions and multiplicative nature of the quantum fluctuations of optical forces. It is shown that these factors significantly affect both the formations conditions of the ion Coulomb clusters and their characteristics. It is also demonstrated that their consequences can be well-described by the renormalized SI model. In this model, the electric ion charge is replaced by the effective charge which depends on the light field parameters.

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Scopus

Держатели документа:
Russian Acad Sci, Inst Computat Modelling, Siberian Div, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Kamenshchikov, L.P.; Каменщиков, Леонид Петрович; Краснов, Игорь Васильевич

/ V. K. Andreev // Bull. South Ural State U. Ser.-Math Model Program Comput. - 2016. - Vol. 9, Is. 4. - С. 5-16, DOI 10.14529/mmp160401. - Cited References:16 . - ISSN 2071-0216. - ISSN 2308-0256РУБ Mathematics, Applied

Аннотация: An inverse initial boundary value problem for a linear parabolic equation that arises as a result of mathematical modelling of 2D creeping motion of viscous liquid in a flat channel is considered. The unknown function of time is added in the right part of equation and can be found from additional condition of integral overdetermination. This problem has two different integral identities, permitting to obtain a priori estimates of solutions in uniform metric and to proof the uniqueness theorem. Under some restrictions on input data the solution is constructed as a series in the special basis. For this purpose the problem is reduced by differentiation with respect to the spatial variable to a direct non-classic problem with two integral conditions instead of ordinary ones. The new problem is solved by separation of variables, which allows one to find the unknown functions in the form of rapidly converging series. Another method for solving the initial problem is to reduce the problem to the loaded equation and to state the first initial boundary value problem for this equation. In its turn, this problem is reduced to one-dimensional in time Volterra operator equation with a special kernel. It is proved that it has a series solution. Some auxiliary formulas which are useful for the numerical solution of this equation by the Laplace transform are obtained. Sufficient conditions under which the solution with increasing time converges to steady regime by exponential law are established.

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Держатели документа:
Inst Computat Modelling SB RAS, Krasnoyarsk, Russia.

Доп.точки доступа:
Andreev, V. K.

/ V. V. Shaidurov, A. V. Vyatkin, E. V. Kuchunova // Russ. J. Numer. Anal. Math. Model. - 2018. - Vol. 33, Is. 2. - P123-135, DOI 10.1515/rnam-2018-0011. - Cited References:22. - The different parts of this work were funded by Russian Foundation for Basic Research to projects No. 17-01-000270 and No. 16-41-243029 which was supported also by Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund. . - ISSN 0927-6467. - ISSN 1569-3988РУБ Engineering, Multidisciplinary + Mathematics, Applied

Аннотация: The paper demonstrates different ways of using the semi-Lagrangian approximation depending on the fulfillment of conservation laws. A one-dimensional continuity equation and a parabolic one are taken as simple methodological examples. For these equations, the principles of constructing discrete analogues are demonstrated for three different conservation laws (or the requirements of stability in the related discrete norms similar to the L-1, L-2, L-infinity-norms). It is significant that different conservation laws yield difference problems of different types as well as different ways to justify their stability.

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Scopus

Держатели документа:
Fed Res Ctr KSC SB RAS, Inst Computat Modelling, Krasnoyarsk 660036, Russia.
Tianjin Univ Finance & Econ, Tianjin 300222, Peoples R China.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Shaidurov, Vladimir V.; Vyatkin, Alexander V.; Kuchunova, Elena V.; Russian Foundation for Basic Research - Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund [17-01-000270, 16-41-243029]