Script underlying the paper "Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry"

doi:10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff.v1
The doi above is for this specific version of this dataset, which is currently the latest. Newer versions may be published in the future. For a link that will always point to the latest version, please use
doi: 10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff
Datacite citation style:
Matthias Schlottbom; Bardin, Riccardo; Olena Palii; Bertrand, Fleurianne (2024): Script underlying the paper "Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry". Version 1. 4TU.ResearchData. dataset. https://doi.org/10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff.v1
Other citation styles (APA, Harvard, MLA, Vancouver, Chicago, IEEE) available at Datacite
Dataset

*** Solver for a phase-space Discontinuous Galerkin discretization for radiative transfer in slab-geometry ***

authors: R. Bardin, F. Bertrand, O. Palii, M. Schlottbom 

corresponding author: Matthias Schlottbom, University of Twente, m.schlottbom@utwente.nl

We implement a symmetric interior penalty discontinuous Galerkin scheme for the approximation of the second-order form of the radiative transfer equation in slab geometry, using different polynomial degrees and quad-tree grids, which allow for local refinement in phase-space. We implement hierarchical error estimators.

*** Scientific reference ***

R. Bardin, F. Bertrand, O. Palii, M. Schlottbom 

A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry.

Computational Methods in Applied Mathematics, 2024. doi: 10.1515/cmam-2023-0090

When using this code, cite that paper.

*** Description ***

For using the code, unzip the repository and run run.m. 

In lines 8-15, there are parameters regarding the solvers, test cases, and mesh refinement routines used.

history
  • 2024-02-20 first online, published, posted
publisher
4TU.ResearchData
format
zip, "Matlab scripts"
funding
  • Low-rank tensor product approximations for the radiative transfer equation (grant code OCENW.KLEIN.183) NWO
organizations
University of Twente, Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS), Mathematics of Computational Science (MACS)

DATA

files (1)