Numerical simulation for a one-dimensional radiative transfer equation (doi:10.60507/FK2/GKCIJK)

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Part 2: Study Description
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Document Description

Citation

Title:

Numerical simulation for a one-dimensional radiative transfer equation

Identification Number:

doi:10.60507/FK2/GKCIJK

Distributor:

bonndata

Date of Distribution:

2025-07-31

Version:

1

Bibliographic Citation:

Demattè, Elena; Velázquez, Juan J. L., 2025, "Numerical simulation for a one-dimensional radiative transfer equation", https://doi.org/10.60507/FK2/GKCIJK, bonndata, V1

Study Description

Citation

Title:

Numerical simulation for a one-dimensional radiative transfer equation

Identification Number:

doi:10.60507/FK2/GKCIJK

Authoring Entity:

Demattè, Elena (University of Bonn)

Velázquez, Juan J. L. (University of Bonn)

Grant Number:

211504053

Grant Number:

390685813

Distributor:

bonndata

Access Authority:

Demattè, Elena

Depositor:

Demattè, Elena

Date of Deposit:

2025-07-31

Holdings Information:

https://doi.org/10.60507/FK2/GKCIJK

Study Scope

Keywords:

Mathematical Sciences

Abstract:

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.

Methodology and Processing

Sources Statement

Data Access

Notes:

<a href="https://mit-license.org/">MIT</a>

Other Study Description Materials

Other Study-Related Materials

Label:

code.py

Text:

This document contains the Python code for the simulation

Notes:

text/x-python

Other Study-Related Materials

Label:

Licence.txt

Notes:

text/plain

Other Study-Related Materials

Label:

Plot.png

Notes:

image/png

Other Study-Related Materials

Label:

Readme.pdf

Text:

This document describes the analyzed problem and the method used in order to develop the simulation.

Notes:

application/pdf