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., PN) 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).
Reference25 articles.
1. Lions P.-L., “On the Schwarz Alternating Method III: a variant for Nonoverlapping Subdomains,” Proc. Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, p. 202–223, Philadelphia, 1990, SIAM.
2. parafish: A parallel FE–PN neutron transport solver based on domain decomposition
3. Generalized Schwarz Splittings
4. Azmy Y. Y., “Benchmarking the Accuracy of Solution of Threedimensional Transport Codes and Methods over a Range in Parameter Space,” NEA/NSC/DOC(2007)1/REV1, OECD, Nuclear Energy Agency, 2007.
5. TORT solutions to the NEA suite of benchmarks for 3D transport methods and codes over a range in parameter space