Comparison of several numerical methods for solving point kinetic equations
Conference
·
· Transactions of the American Nuclear Society; (United States)
OSTI ID:5855865
- North Carolina State Univ., Raleigh (United States)
In the past, numerous authors have presented different numerical methods to deal with the temporal component for either point reactor kinetic or space kinetic equations. The difficulty in numerically solving these equations is due to the stiffness of the system arising from the difference of order of magnitude between the prompt and delayed neutron lifetimes. This paper presents a consistent comparison of the performances of several numerical methods applied to the point reactor equations for different transients. The purpose of this work is to determine which method allows the use of large time steps with the greatest accuracy for developing, in the near future, a three-dimensional, two-group kinetic diffusion code.
- OSTI ID:
- 5855865
- Report Number(s):
- CONF-910603--
- Conference Information:
- Journal Name: Transactions of the American Nuclear Society; (United States) Journal Volume: 63
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
BARYONS
COMPARATIVE EVALUATIONS
DELAYED NEUTRONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EVALUATION
FERMIONS
FISSION NEUTRONS
HADRONS
ITERATIVE METHODS
NEUTRON DIFFUSION EQUATION
NEUTRONS
NUCLEONS
NUMERICAL SOLUTION
PHYSICS
PROMPT NEUTRONS
REACTOR PHYSICS
RUNGE-KUTTA METHOD
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TRANSIENTS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
BARYONS
COMPARATIVE EVALUATIONS
DELAYED NEUTRONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EVALUATION
FERMIONS
FISSION NEUTRONS
HADRONS
ITERATIVE METHODS
NEUTRON DIFFUSION EQUATION
NEUTRONS
NUCLEONS
NUMERICAL SOLUTION
PHYSICS
PROMPT NEUTRONS
REACTOR PHYSICS
RUNGE-KUTTA METHOD
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TRANSIENTS