Numerical simulation for a one-dimensional radiative transfer equation
type: Dataset
creator: Demattè, Elena
creator: Velázquez, Juan J. L.
  type: Person
  given name: Juan J. L.
  family name: Velázquez
  affiliation: University of Bonn
author: Demattè, Elena
author: Velázquez, Juan J. L.
  type: Person
  given name: Juan J. L.
  family name: Velázquez
  affiliation: University of Bonn
date published: 2025-07-31
date modified: 2025-07-31
version: 1
description: This numerical simulation has been developed for the diffusion approximation of a one-dimensional stationary radiative transfer equation. Specifically, as the mean free path of the photons tends to zero this simulation depicts the formation of boundary layers and the fact that at the interior of the domain the radiation intensity becomes isotropic solving a Laplace equation. This numerical simulation supports the results obtained analyzing the radiative transfer equation via matched asymptotic expansions.
keywords: Mathematical Sciences
citation: https://arxiv.org/abs/2407.11797
license: https://mit-license.org/
included in data catalog: bonndata
publisher: bonndata
provider: bonndata
funder: DFG, German Research Foundation
distribution: code.py
distribution: Licence.txt
distribution: Plot.png
distribution: Readme.pdf

Demattè, Elena
type: Person
given name: Elena
family name: Demattè
affiliation: University of Bonn

code.py
type: DataDownload
encoding format: text/x-python
content size: 1925
description: This document contains the Python code for the simulation

Licence.txt
type: DataDownload
encoding format: text/plain
content size: 1095

Plot.png
type: DataDownload
encoding format: image/png
content size: 63751

Readme.pdf
type: DataDownload
encoding format: application/pdf
content size: 213669
description: This document describes the analyzed problem and the method used in order to develop the simulation.