Multigrid in energy preconditioner for Krylov solvers
- Radiation Transport Group, Oak Ridge National Laboratory, P.O. BOX 2008 MS6170, Oak Ridge TN 37831 (United States)
- Department of Nuclear Engineering and Engineering Physics, University of Wisconsin – Madison, 419 ERB, 1500 Engineering Drive, Madison, WI 52706 (United States)
We have added a new multigrid in energy (MGE) preconditioner to the Denovo discrete-ordinates radiation transport code. This preconditioner takes advantage of a new multilevel parallel decomposition. A multigroup Krylov subspace iterative solver that is decomposed in energy as well as space-angle forms the backbone of the transport solves in Denovo. The space-angle-energy decomposition facilitates scaling to hundreds of thousands of cores. The multigrid in energy preconditioner scales well in the energy dimension and significantly reduces the number of Krylov iterations required for convergence. This preconditioner is well-suited for use with advanced eigenvalue solvers such as Rayleigh Quotient Iteration and Arnoldi.
- OSTI ID:
- 22233578
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 242; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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