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Ginkin, V.P.
The Ministry of the Russian Federation for Atomic Energy, the State Scientific Center of Russian Federation, A.I.Leipunsky Institute for Physics and Power Engineering, Nuclear Physics Department annual report 19981998
The Ministry of the Russian Federation for Atomic Energy, the State Scientific Center of Russian Federation, A.I.Leipunsky Institute for Physics and Power Engineering, Nuclear Physics Department annual report 19981998
AbstractAbstract
No abstract available
Primary Subject
Source
Kuzminov, B.D. (ed.); Nuclear Physics Department, State Research Center of Russian Federation, A.I.Leypunsky Institute of Physics and Power Engineering, Ministry for Atomic Energy of Russian Federation, Obninsk (Russian Federation); International Atomic Energy Agency, International Nuclear Data Committee, Vienna (Austria); 145 p; 1998; p. 88-89; 7 refs
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Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1982
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1982
AbstractAbstract
[en] A method for solving a system of nine-point differential equations approximating two-dimensional elliptical eqUations with mixed derivatives is described. The method is based on using the method of parabolic runs for solving a system of five-point equations. Results are presented of numerical investigations into the suggested method in model problems with Dirichlet and Neumann boundary conditions
Original Title
Reshenie ehllipticheskikh uravnenij so smeshannymi proizvodnymi metodom parabolicheskikh progonok
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Source
1982; 14 p; 4 refs.; 4 figs.
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Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1982
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1982
AbstractAbstract
[en] One of the schemes of the method of parabolic runs for solving two-dimensional elliptical differential equations is considered. The effectiveness of the scheme versus the value of iterative parameter introduced in it is illustrated in model problems. An effective method is suggested for solving the neumann problem for an equation of the heat conductivity type. It is shown experimentally that in case of variable coefficients of initial differential equations the effectiveness of the scheme considered weakly depends on the relation of the coefficient maximum value to the minimum one. A standard NFPP subprogram is described for solving two-dimensional differential elliptical equations using the method suggested
Original Title
Ob odnom variante metoda parabolicheskikh progonok dlya resheniya dvumernykh uravnenij ehllipticheskogo tipa
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1982; 12 p; 3 refs.; 3 figs.; 1 tab.
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Report
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Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk (Russian Federation). Fiziko-Ehnergeticheskij Inst1994
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk (Russian Federation). Fiziko-Ehnergeticheskij Inst1994
AbstractAbstract
[en] In this paper a 3-level Chebyshev's algorithms for an acceleration of a convergence of external iterations in a solution of a stationary reactor problem on k eigenvalue and correspondent adjacent problem is developed. 8 refs
Original Title
VOLNA - programma trekhmernogo nestatsionarnogo rascheta reaktora v kvazistaticheskom gruppovom priblizhenii
Primary Subject
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1994; 23 p
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Report
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Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1978
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1978
AbstractAbstract
[en] The finite-difference schemes, which approximate two-dimensional reactor equation in case of one or several direct regions of the reactor boundary or zone boundary surface being non-parallel to the lines of coordinates, are plotted. For the solution of the obtained systems of the five-point equations h-factorization algorithm is used. The CONUS and CONCR programs for the calculation of the conical reactors without a reflector, and the CONOTR and CONCOL programs for the calculation of conical and conical-circular reactor systems with reflectors, are described. The obtained calculations have shown the working capacity of the built models and the effectivity of the used on the inner inerations of algorithm in comparison with other known methods
Original Title
O raschete reaktorov s konusnoj i konusno-kol'tsevoj aktivnoj zonoj
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1978; 10 p; 5 refs.
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AbstractAbstract
No abstract available
Original Title
O raschete slabovzaimodejstvuyushchikh sistem
Primary Subject
Source
Deposited article; for English translation see the journal Sov. J. At. Energy
Record Type
Journal Article
Journal
Atomnaya Ehnergiya; v. 40(1); p. 57-58
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Buleev, N.I.; Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1977
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1977
AbstractAbstract
[en] An algorithm for calculating a reactor in the two-group diffusion approximation in (x,y)- and (r,z)-geometries is described. The difference equations satisfying the balance relationship are derived using the integral method. In order to find a solution of the five-point equations the internal iterative method is used that is a sort of the pertial factorization scheme. The scheme employed ensures a high convergence rate of the iterative process. The ''FACTOR'' computer code is written in the FORTRAN language for the ES-1030 computer and employs only the operative memory
Original Title
Algoritm resheniya dvumernogo uravneniya reaktora v dvukhgruppovom diffuzionnom priblizhenii
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1977; 13 p; 4 refs.; 1 fig.; 2 tables.
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Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1981
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk. Fiziko-Ehnergeticheskij Inst1981
AbstractAbstract
[en] A new version of the incomplete factorization method for solving two-dimensional five-point elliptical-type difference equations is suggested. One of the method schemes is considered. It is shown experimentally that the combination of the scheme considered with h-factorization leads to considerable increase in the rate of convergence as compared with that for each of these schemes taken separately. It is shown that such combination of schemes possesses high efficiency when solving the Neuman problem for diffusion-type equation with a small diagonal predominance in the whole domain. The proposed method is applicable for solving a wide range of two- dimensional problems with the domains of arbitrary forms including calculation of critical parameters for nuclear reactors with complex configurations
[ru]
Original Title
Metod parabolicheskikh progonok dlya resheniya dvumernykh uravnenij ellipticheskogo tipa
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1981; 13 p; 11 refs.; 7 tabs.
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Report
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Kurachenko, Yu.A.; Ginkin, V.P.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk (USSR). Fiziko-Ehnergeticheskij Inst1988
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk (USSR). Fiziko-Ehnergeticheskij Inst1988
AbstractAbstract
[en] Algorithm of operative solution of the P1-equation system of the method of spherical harmonics for cylindrical two-dimensial shield compositions has been developed and realized in the program. The algorithm is intended to be included into the system of program complex shield calculation according to techniques, combining succession application of discrete ordinate method and P1-approximation. The algorithm is oriented to solution of the problems with preliminary axial radiation propagation at rather small gradients of solution with respect to radial variable. Difference analogues of P1-equations were obtained under the assumption of exponential solution dependence on axial variable. The system of nonlinear finite-difference equations is solved with the use of effective technique, lying in successive application of h-factorization and parabolic runs. Independent algorithm testing, which demonstrated quick convergency of calculation process for a wide range of model problems, was conducted
Original Title
Algoritm resheniya P1-uravnenij dlya kompleksnoj programmy rascheta zashchity ot izluchenij
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1988; 16 p; 9 refs.; 3 figs.
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Report
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Ginkin, V.P.; Troyanova, N.M.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk (USSR). Fiziko-Ehnergeticheskij Inst1990
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Obninsk (USSR). Fiziko-Ehnergeticheskij Inst1990
AbstractAbstract
[en] The paper presents an algorithm of partial factorization method (PFM) for solving a set of finite-difference equations for the reactor neutron-physical calculations in the hex-Z-geometry in the one-group diffusion approximations. The method of h-factorization efficiently suppressing smooth error components is used for the stationary problem. When calculating spatial kinetics in the prompt jump approximation there can be no conditions of diagonal predominance for the h-factorization use. In this case the PFM is used without any compensation of terms being iterated, and to accelerate the iteration process convergence the sequence of z-varied networks is applied. In each z-layer a seven-point operator is reversed according to the modified Zedan method. 7 refs.; 3 tabs
Original Title
Ispol'zovanie metoda nepolnoj faktorizatsii v trekhmernoj zadache nejtronno-fizicheskogo rascheta reaktorov tipa VVEhR
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1990; 15 p
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