High-order accurate solutions of the point kinetics equations with the spectral deferred correction method
- Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, MI (United States)
Solving initial value problems with higher-order methods can improve the accuracy of the simulation results or the efficiency of the calculation. In this paper, we apply the spectral deferred correction (SDC) method to solve the initial value problem of the point kinetics equations (PKE). SDC is a stable, robust, and efficient high-order time-integration method capable of an arbitrary order of accuracy. For our implementation we show that it is A-stable for orders up to 8 and the order of accuracy is verified for PKE problems with a range of different reactivities. A 5.-order SDC method was then implemented to solve the exact PKE (EPKE) in the Transient Multilevel (TML) method of MPACT. The error from solutions of the EPKE is shown to be negligible. (authors)
- Research Organization:
- American Nuclear Society - ANS, La Grange Park, IL 60526 (United States)
- OSTI ID:
- 23178749
- Country of Publication:
- United States
- Language:
- English
Similar Records
Spectral deferred correction methods for high-order accuracy in poroelastic problems