Solving Point-Reactor Kinetics Equations Using Exponential Moment Methods
Abstract
A robust method of solving the reactor point kinetic equations was designed using exponential moment methods. Although the method requires a relatively large number of calculations to complete, the accuracy ensured by each individual step calculation allows larger time steps to be used. The algorithm designed was verified to converge to the correct value as step size was reduced. Additionally, the algorithm can take steps much larger than the average neutron lifetime while maintaining some precision. An error control scheme was designed based on changes observed in the results as a function of time step size. The error control adaptively approaches optimal step sizes within a factor of two for given tolerances. When used in conjunction with our algorithm, most cases show large mitigation of computational cost.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 21, 2013
- Accession Number
- ADA576034
Entities
People
- Paul M. Thelen
Organizations
- Air Force Institute of Technology