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Numerical simulation for a one-dimensional radiative transfer equation

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Important usage condition: Use and redistribution are governed by MIT. Review and comply with the license before using the data.
Persistent identifier
doi:10.60507/FK2/GKCIJK
Published version
1.0
Publication date
2025-07-31
License
MIT

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.

Creators

Keywords

Radiative transfer equation, Diffusion approximation, Boundary layers

Files

Before downloading: Use and redistribution are governed by MIT. Review and comply with the license before using the data.
FileTypeBytesChecksum
Readme.pdfapplication/pdf213669MD5 4952d2e8aa5936f8c88c4f89daca72c4
code.pytext/x-python1925MD5 2f2808b8926a4a019e5c32c2b8a726f2
Plot.pngimage/png63751MD5 c9a1ae6fa8e0f3e8f1f21f2d2799fd76
Licence.txttext/plain1095MD5 6a758fffe5bcdd5f24429451e5486fb4

Citation

Demattè, Elena; Velázquez, Juan J. L., 2025-07-31, Numerical simulation for a one-dimensional radiative transfer equation, doi:10.60507/FK2/GKCIJK, V1.0

Additional Dataverse fields

Id464
Dataset Typedataset
Internal Version Number11
Latest Version Publishing StateRELEASED
Release Time2025-07-31T09:32:23Z
Create Time2025-07-31T07:56:42Z
Citation Date2025-07-31
File Access RequestFalse

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Static metadata exports available for this published dataset version:

Complete Dataverse metadata

Citation Metadata

Title title
Numerical simulation for a one-dimensional radiative transfer equation
Author author
  1. Author Name
    Demattè, Elena
    Author Affiliation
    University of Bonn
    Author Identifier Scheme
    ORCID
    Author Identifier
    Type Name
    authorIdentifier
    Multiple
    False
    Type Class
    primitive
    Value
    https://orcid.org/0000-0001-6054-1050
    Expandedvalue
    Person Name
    Demattè, Elena
    @id
    https://orcid.org/0000-0001-6054-1050
    Scheme
    ORCID
    @type
    https://schema.org/Person
  2. Author Name
    Velázquez, Juan J. L.
    Author Affiliation
    University of Bonn
Dataset Contact datasetContact
  1. Dataset Contact Name
    Demattè, Elena
    Dataset Contact Affiliation
    University of Bonn
    Dataset Contact Email
    dematte@iam.uni-bonn.de
Ds Description dsDescription
  1. Ds Description Value
    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.
Subject subject
  1. Mathematical Sciences
Free Keyword freeKeyword
  1. Free Keyword Value
    Radiative transfer equation
  2. Free Keyword Value
    Diffusion approximation
  3. Free Keyword Value
    Boundary layers
Publication publication
  1. Publication IDType
    doi
    Publication URL
    https://arxiv.org/abs/2407.11797
Grant Number grantNumber
  1. Grant Number Agency
    DFG, German Research Foundation
    Grant Number Value
    211504053
  2. Grant Number Agency
    DFG, German Research Foundation
    Grant Number Value
    390685813
Depositor depositor
Demattè, Elena
Date Of Deposit dateOfDeposit
2025-07-31

Software Metadata (CodeMeta v2.0)

Code Version codeVersion
Python 3.10.12
Programming Language programmingLanguage
  1. Python

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