| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1729249 | Annals of Nuclear Energy | 2011 | 6 Pages |
The Davidson method is implemented within the neutron transport core solver parafish to solve k-eigenvalue criticality transport problems. The parafish solver is based on domain decomposition. It uses spherical harmonics (PN method) for angular discretization, and non-conforming finite elements for spatial discretization. The Davidson method is compared to the traditional power iteration method in this context.
► The Davidson method is applied to PN criticality problems. ► It performs more elaborated iterations than the traditional power method. ► It requires no tuning (in contrast to Chebyshev acceleration). ► The total number of iterations is reduced compared to the power method. ► The computing times are cut by a factor 2–3 in our numerical tests.
