The method of characteristics with angle directions stochastic choice
Matematičeskoe modelirovanie, Tome 15 (2003) no. 8, pp. 75-87.

Voir la notice de l'article provenant de la source Math-Net.Ru

There are presented the description of the program oriented on the solving of the problem of neutrons transport by characteristic method with stochastic angle directions choice and code. The conservative scheme for the transport problem and directions choice algorithm are described. The results of test calculations as for criticality calculations problems as for problems with fixed spatial-distributed source are also introduced. The short UNK_GRO code description is given.
@article{MM_2003_15_8_a6,
     author = {V. D. Davidenko and V. F. Tsibulskii},
     title = {The method of characteristics with angle directions stochastic choice},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {75--87},
     publisher = {mathdoc},
     volume = {15},
     number = {8},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_8_a6/}
}
TY  - JOUR
AU  - V. D. Davidenko
AU  - V. F. Tsibulskii
TI  - The method of characteristics with angle directions stochastic choice
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 75
EP  - 87
VL  - 15
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_8_a6/
LA  - ru
ID  - MM_2003_15_8_a6
ER  - 
%0 Journal Article
%A V. D. Davidenko
%A V. F. Tsibulskii
%T The method of characteristics with angle directions stochastic choice
%J Matematičeskoe modelirovanie
%D 2003
%P 75-87
%V 15
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2003_15_8_a6/
%G ru
%F MM_2003_15_8_a6
V. D. Davidenko; V. F. Tsibulskii. The method of characteristics with angle directions stochastic choice. Matematičeskoe modelirovanie, Tome 15 (2003) no. 8, pp. 75-87. http://geodesic.mathdoc.fr/item/MM_2003_15_8_a6/

[1] B. C. Vladimirov, “Chislennye resheniya kineticheskogo uravneniya dlya sfery”, Vychislitelnaya matematika, 3 (1958), 3–33 | Zbl

[2] V. Ya. Goldin, “Kharakteristicheskaya raznostnaya skhema dlya nestatsionarnogo kineticheskogo uravneniya”, DAN, 133:4 (1960)

[3] Kh. Grinspen, K. Kolber D. Orent (red.), Vychislitelnye metody v fizike reaktorov, Atomizdat, M., 1972

[4] I. R. Suslov, “MCCG3D Discrete Ordinates Transport Code for Unstructured Grid, State-Of Art and Future Developments”, Neitronika-96, Sb. trudov seminara “Algoritmy i programmy dlya neitronno-fizicheskikh raschetov yadernykh reaktorov”, Obninsk, 1998

[5] R. Sanchez, Le code APOLLO-2, rapport CEA/SERMA T-1152, 1990

[6] J. R.Askew et al., “A General Discription of Lattice Code WIMS”, Journal of British Nuclear Society, 1966

[7] V. D. Davidenko, V. F. Tsibulskii, “Metod kharakteristik. Programma UNK GRO”, Neitronika 2000, Sb. trudov seminara, Obninsk, 2000, 195–201

[8] A. V. Elshin, V. G. Artemov i dr., “Verifikatsiya programmy SAPFIR 95 dlya neitronno-fizicheskikh raschetov uran grafitovykh reaktorov”, Neitronika 99, Obninsk, 2000 | Zbl

[9] I. M. Sobol, R. B. Statnikov, Vybor optimalnykh parametrov v zadachakh so mnogimi kriteriyami, Nauka, M., 1981 | MR

[10] Ya. V. Shevelev (red.), Metody rascheta polei teplovykh neitronov v reshetkakh reaktorov, Atomizdat, 1974

[11] E. B. Brodkin, V. F. Tsibulskii, “Reshenie zadachi perenosa neitronov v VTGR s gazovoi polostyu”, VANT, ser. AVEiT, 1983, no. 3(16)

[12] J. Vujic, Modern 2-D and 3-D Transport Calculations on Unstructured Mesh Grids.FJ/OH-SS'99, KARLSRUHE, Germany

[13] Kisuke Kobayashi, Naoki Sugimura, 3D radiation transport benchmark problem and results for simple geometries with void region, Department of Nuclear Engineering, Kyoto University, Yoshida, Sakyoku, Kyoto, Japan

[14] S. V. Akimushkin, V. D. Davidenko, A. M. Degtyarev i dr., Sravnitelnye raschety yacheek i poliyacheek PUGR po sovremennym neitronno-fizicheskim programmam, preprint IAE-6230/4, M., 2001

[15] V. F. Tsibulskii, V. D. Davidenko, Rezultaty verifikatsionnykh raschetov neitronno-fizicheskikh kharakteristik vysokotemperaturnykh reaktorov po programme UNK, Preprint verifikatsiya dlya VTGR, preprint IAE-6165/4, M., 2000

[16] N. I. Belousov, V. D. Davidenko, V. F. Tsibulskii, Programma UNK dlya detalnogo rascheta spektra neitronov v yacheike yadernogo reaktora, preprint IAE-6083/4, M., 1998

[17] V. D. Davidenko, V. F. Tsibulsky, “Detailed Calculation of Neutron Spectrum in Cell of a Nuclear Reactor”, Int. Conf. on the Physics of Nuclear Science and Technology (Oct. 5–8, 1998, Long Island, New York), 1755–1760 | MR

[18] V. D. Davidenko, V. F. Tsibulskii, “Raschet vygoraniya po programme UNK”, Neitronika 2000, Sb. trudov seminara, Obninsk, 2000, 200–202