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) (SC25)
 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. doi: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. doi: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. doi: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}
}
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