Two-dimensional equations of the surface harmonics method for solving problems of spatial neutron kinetics in square-lattice reactors

被引:2
|
作者
Boyarinov, V. F. [1 ]
Kondrushin, A. E. [1 ]
Fomichenko, P. A. [1 ]
机构
[1] IV Kurchatov Atom Energy Inst, Natl Res Ctr, Moscow 123182, Russia
关键词
SHM; time-dependent neutron transport equation; spatiotemporal neutron kinetics; SUHAM-TD code; verification;
D O I
10.1134/S1063778814130043
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Two-dimensional time-dependent finite-difference equations of the surface harmonics method (SHM) for the description of the neutron transport are derived for square-lattice reactors. These equations are implemented in the SUHAM-TD code. Verification of the derived equations and the developed code are performed by the example of known test problems, and the potential and efficiency of the SHM as applied to the solution of the time-dependent neutron transport equation in the diffusion approximation in two-dimensional geometry are demonstrated. These results show the substantial advantage of SHM over direct finite-difference modeling in computational costs.
引用
收藏
页码:1572 / 1582
页数:11
相关论文
共 50 条
  • [31] Photonic band gaps of two-dimensional square-lattice photonic crystals based on 8-shaped scatters
    Chu, Kaibin
    Xu, Quan
    Xie, Kang
    Peng, Cuiyun
    OPTIK, 2015, 126 (20): : 2287 - 2290
  • [32] STRUCTURE OF LARGE TWO-DIMENSIONAL SQUARE-LATTICE DIFFUSION-LIMITED AGGREGATES - APPROACH TO ASYMPTOTIC-BEHAVIOR
    MEAKIN, P
    BALL, RC
    RAMANLAL, P
    SANDER, LM
    PHYSICAL REVIEW A, 1987, 35 (12): : 5233 - 5239
  • [33] Peculiarities of magnetic ordering in the S=5/2 two-dimensional square-lattice antimonate NaMnSbO4
    Vasilchikova, Tatyana
    Nalbandyan, Vladimir
    Shukaev, Igor
    Koo, Hyun-Joo
    Whangbo, Myung-Hwan
    Lozitskiy, Andrey
    Bogaychuk, Alexander
    Kuzmin, Vyacheslav
    Tagirov, Murat
    Vavilova, Evgeniya
    Vasiliev, Alexander
    Zvereva, Elena
    PHYSICAL REVIEW B, 2020, 101 (05)
  • [34] All-optical controllable channel-drop filters in two-dimensional square-lattice photonic crystals
    Fasihi, K.
    JOURNAL OF MODERN OPTICS, 2016, 63 (10) : 1009 - 1014
  • [35] Two-dimensional coupled wave theory for square-lattice photonic-crystal lasers with TM-polarization
    Sakai, Kyosuke
    Miyai, Eiji
    Noda, Susumu
    OPTICS EXPRESS, 2007, 15 (07): : 3981 - 3990
  • [36] Theoretical investigation of waveguide power splitters with parallel output ports in two-dimensional square-lattice photonic crystals
    Zhou, Jianhong
    Chang, Qing
    Mu, Da
    Yang, Jinhua
    Han, Wenbo
    Wang, Lu
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2009, 26 (12) : 2469 - 2472
  • [37] ON COLLOCATION METHODS FOR SOLVING THE NEUTRON-TRANSPORT EQUATION IN TWO-DIMENSIONAL PROBLEMS
    LIU, CF
    DU, MS
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1986, 4 (02): : 97 - 110
  • [38] ON A METHOD OF SOLVING TWO-DIMENSIONAL INTEGRAL-EQUATIONS OF AXISYMMETRICAL CONTACT PROBLEMS FOR BODIES WITH COMPLEX RHEOLOGY
    MANZHIROV, AV
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1985, 49 (06): : 777 - 782
  • [40] Differential Transform Method for Solving the Two-dimensional Fredholm Integral Equations
    Ziyaee, F.
    Tari, A.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (02): : 852 - 863