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Title: A new multigroup method for cross-sections that vary rapidly in energy

Here, we present a numerical method for solving the time-independent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity (cross-section) 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 multigroup-type system, and can therefore be solved by standard methods.
Authors:
 [1] ;  [1] ; ORCiD logo [1] ; ORCiD logo [1] ;  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-16-22032
Journal ID: ISSN 0022-4073
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Journal of Quantitative Spectroscopy and Radiative Transfer
Additional Journal Information:
Journal Volume: 187; Journal Issue: C; Journal ID: ISSN 0022-4073
Publisher:
Elsevier
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; opacity homogenization
OSTI Identifier:
1375164

Haut, Terry Scot, Ahrens, Cory D., Jonko, Alexandra, Lowrie, Robert B., and Till, Andrew. A new multigroup method for cross-sections that vary rapidly in energy. United States: N. p., 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 cross-sections 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. 2016. "A new multigroup method for cross-sections 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 cross-sections 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 time-independent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity (cross-section) 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 multigroup-type 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}
}