Abstract
In this paper we show new solver strategies for the multigroup SPN equations for nuclear reactor analysis. By forming the complete matrix over space, moments, and energy, a robust set of solution strategies may be applied. Power iteration, shifted power iteration, Rayleigh quotient iteration, Arnoldi's method, and a generalized Davidson method, each using algebraic and physics-based multigrid preconditioners, have been compared on the C5G7 MOX test problem as well as an operational pressurized water reactor model. Our results show that the most efficient approach is the generalized Davidson method, which is 30-40 times faster than traditional power iteration and 6-10 times faster than Arnoldi's method.
| Original language | English |
|---|---|
| Pages (from-to) | 155-170 |
| Number of pages | 16 |
| Journal | Journal of Computational Physics |
| Volume | 284 |
| DOIs | |
| State | Published - Mar 1 2015 |
Funding
Notice: This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes. Work for this paper was supported by Oak Ridge National Laboratory ( DE-AC05-00OR22725 ), which is managed and operated by UT-Battelle, LLC, for the U.S. Department of Energy under Contract No. DEAC05-00OR22725 . This research was supported by the Consortium for Advanced Simulation of Light Water Reactors ( www.casl.gov ), an Energy Innovation Hub ( http://www.energy.gov/hubs ) for Modeling and Simulation of Nuclear Reactors under U.S. Department of Energy Contract No. DE-AC05-00OR22725 .
Keywords
- Eigenvalue solvers
- Nuclear criticality
- Radiation transport