A new multigroup method for crosssections that vary rapidly in energy
Abstract
Here, we present a numerical method for solving the timeindependent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity (crosssection) varies rapidly in frequency (energy) on the microscale ε; ε corresponds to the characteristic spacing between absorption lines or resonances, and is much smaller than the macroscopic frequency (energy) variation of interest. The approach is based on a rigorous homogenization of the TRT/NT equation in the frequency (energy) variable. Discretization of the homogenized TRT/NT equation results in a multigrouptype system, and can therefore be solved by standard methods.
 Authors:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1375164
 Report Number(s):
 LAUR1622032
Journal ID: ISSN 00224073
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Quantitative Spectroscopy and Radiative Transfer
 Additional Journal Information:
 Journal Volume: 187; Journal Issue: C; Journal ID: ISSN 00224073
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; opacity homogenization
Citation Formats
Haut, Terry Scot, Ahrens, Cory D., Jonko, Alexandra, Lowrie, Robert B., and Till, Andrew. A new multigroup method for crosssections that vary rapidly in energy. United States: N. p., 2016.
Web. https://doi.org/10.1016/j.jqsrt.2016.10.019.
Haut, Terry Scot, Ahrens, Cory D., Jonko, Alexandra, Lowrie, Robert B., & Till, Andrew. A new multigroup method for crosssections that vary rapidly in energy. United States. https://doi.org/10.1016/j.jqsrt.2016.10.019
Haut, Terry Scot, Ahrens, Cory D., Jonko, Alexandra, Lowrie, Robert B., and Till, Andrew. Fri .
"A new multigroup method for crosssections that vary rapidly in energy". United States. https://doi.org/10.1016/j.jqsrt.2016.10.019. https://www.osti.gov/servlets/purl/1375164.
@article{osti_1375164,
title = {A new multigroup method for crosssections that vary rapidly in energy},
author = {Haut, Terry Scot and Ahrens, Cory D. and Jonko, Alexandra and Lowrie, Robert B. and Till, Andrew},
abstractNote = {Here, we present a numerical method for solving the timeindependent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity (crosssection) varies rapidly in frequency (energy) on the microscale ε; ε corresponds to the characteristic spacing between absorption lines or resonances, and is much smaller than the macroscopic frequency (energy) variation of interest. The approach is based on a rigorous homogenization of the TRT/NT equation in the frequency (energy) variable. Discretization of the homogenized TRT/NT equation results in a multigrouptype system, and can therefore be solved by standard methods.},
doi = {10.1016/j.jqsrt.2016.10.019},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
number = C,
volume = 187,
place = {United States},
year = {2016},
month = {11}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.