Surface harmonics method for two-dimensional time-dependent neutron transport problems of square-lattice nuclear reactors

Conference · Mon Jul 01 00:00:00 EDT 2013

OSTI ID:22212910

Boyarinov, V. F.; Kondrushin, A. E.; Fomichenko, P. A. ^[1]

---

1. National Research Centre Kurchatov Institute, Kurchatov Sq. 1, Moscow (Russian Federation)

Time-dependent equations of the Surface Harmonics Method (SHM) have been derived from the time-dependent neutron transport equation with explicit representation of delayed neutrons for solving the two-dimensional time-dependent problems. These equations have been realized in the SUHAM-TD code. The TWIGL benchmark problem has been used for verification of the SUHAM-TD code. The results of the study showed that computational costs required to achieve necessary accuracy of the solution can be an order of magnitude less than with the use of the conventional finite difference method (FDM). (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22212910
• Resource Relation: Conference: M and C 2013: 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Sun Valley, ID (United States), 5-9 May 2013; Other Information: Country of input: France; 20 refs.; Related Information: In: Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013| 3016 p.
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
22 GENERAL STUDIES OF NUCLEAR REACTORS
ACCURACY
BENCHMARKS
CONFIGURATION
DELAYED NEUTRONS
FINITE DIFFERENCE METHOD
NEUTRON FLUX
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
REACTOR LATTICES
REACTORS
TIME DEPENDENCE
TRANSIENTS
TWO-DIMENSIONAL CALCULATIONS
VERIFICATION