Domain Decomposition P_N Solutions to the 3D Transport Benchmark over a Range in Parameter Space

Work performed at the Institute for Neutron Physics and Reactor Technology, Karlsruhe Institute of Technology, Germany

Abstract

The objectives of this contribution are twofold. First, the Domain Decomposition (DD) method used in the parafish parallel transport solver is re-interpreted as a Generalized Schwarz Splitting as defined by Tang [SIAM J Sci Stat Comput, vol.13 (2), pp. 573–595, 1992]. Second, parafish provides spherical harmonic (i.e., P_N) solutions to the NEA benchmark suite for 3D transport methods and codes over a range in parameter space. To the best of the author’s knowledge, these are the first spherical harmonic solutions provided for this demanding benchmark suite. They have been obtained using 512 CPU cores of the JuRoPa machine installed at the Jülich Computing Center (Germany).