Multilevel nonoverlapping Schwarz methods for particle transport problems in diffusive media (Pablo Lucero, Heidelberg)

19.09.2017 11:15

We present a multigrid preconditioned, asymptotic preserving, weakly penalized discontinuous Galerkin method using non-overlapping Schwarz smoothers to solve a frequency and angle dependent radiative transfer equations with applications in particle transport through diffusive media. Our methodology pursues a scalable implementation in order to address large scale calculations arising from applications such as astrophysics, atmospheric radiation calculations and nuclear applications. Frequencies are addressed by a multigroup approach and angles by discrete ordinates, nonoverlapping Schwarz smoothers are based on solving full local radiative transfer problems for each grid cell which are performed in parallel on a matrix-free implementation. In several tests we show the robustness of the approach for different mesh sizes, cross sections, frequency distributions and anisotropic regimes.

Lieu

salle 623, Séminaire d'analyse numérique

Organisé par

Section de mathématiques

Intervenants

Pablo Lucero, University of Heidelberg

entrée libre

Classement

Catégorie: Séminaire

Mots clés: analyse numérique