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

  • Matthias Schlottbom (Creator)
  • Riccardo Bardin (Creator)
  • Olena Palii (Creator)
  • Fleurianne Bertrand (Creator)

Dataset

Description

*** 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.
Date made available20 Feb 2024
Publisher4TU.Centre for Research Data
Date of data production2024 -

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