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
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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, [email protected]

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)