%0 Generic %A Schlottbom, Matthias %A Bardin, Riccardo %A Palii, Olena %A Bertrand, Fleurianne %D 2024 %T Script underlying the paper "Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry" %U %R 10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbff.v1 %K Radiative Transfer Equation %K Slab geometry %K Discontinuous Galerkin %K phase-space %X <h4>*** Solver for a phase-space Discontinuous Galerkin discretization for radiative transfer in slab-geometry ***</h4><p>authors: R. Bardin, F. Bertrand, O. Palii, M. Schlottbom </p><p>corresponding author: Matthias Schlottbom, University of Twente, m.schlottbom@utwente.nl</p><p></p><p>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.</p><p></p><h4>*** Scientific reference ***</h4><p>R. Bardin, F. Bertrand, O. Palii, M. Schlottbom </p><p><em>A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry.</em></p><p>Computational Methods in Applied Mathematics, 2024. doi: <em>10.1515/cmam-2023-0090</em></p><p>When using this code, cite that paper.</p><p></p><p></p><h4>*** Description ***</h4><p>For using the code, unzip the repository and run run.m. </p><p>In lines 8-15, there are parameters regarding the solvers, test cases, and mesh refinement routines used.</p><p></p><p></p> %I 4TU.ResearchData