Published January 2013
| Version v1
Journal article
Application of Runge-Kutta method to solve transient neutron diffusion equation
Creators
- 1. Science and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, Chengdu (China)
- 2. Department of Engineering Physics, Tsinghua University, Beijing (China)
- 3. Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing (China)
Description
NGFMN-K code was developed to solve transient neutron diffusion equations. Nodal Green's function method based on the second boundary condition was utilized for spatial discreteness. Backward Euler (BE) and a fourth-order accurate diagonally implicit Runge-Kutta (DIRK) method were used for temporal discreteness. Automatic time step control was achieved by embedding a third-order accurate Runge-Kutta solution to estimate the truncation error for DIRK. Numerical evaluations show that results of two methods agree well with reference solution, and DIRK is more accurate and efficient than BE, especially in severe transient. (authors)
Additional details
Publishing Information
- Journal Title
- Atomic Energy Science and Technology
- Journal Volume
- 47
- Journal Issue
- 1
- Journal Page Range
- p. 89-96
- ISSN
- 1000-6931
INIS
- Country of Publication
- China
- Country of Input or Organization
- China
- INIS RN
- 46131939
- Subject category
- S22: GENERAL STUDIES OF NUCLEAR REACTORS;
- Descriptors DEI
- BOUNDARY CONDITIONS; ERRORS; EVALUATION; GREEN FUNCTION; N CODES; NEUTRON DIFFUSION EQUATION; NUMERICAL SOLUTION; RUNGE-KUTTA METHOD; TRANSIENTS
- Descriptors DEC
- CALCULATION METHODS; COMPUTER CODES; DIFFERENTIAL EQUATIONS; DIFFUSION EQUATIONS; EQUATIONS; FUNCTIONS; ITERATIVE METHODS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Notes
- 2 figs., 5 tabs., 12 refs.