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

Haut, Terry Scot; Ahrens, Cory D.; Jonko, Alexandra; Lowrie, Robert B.; Till, Andrew

doi:10.1016/j.jqsrt.2016.10.019

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

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Abstract

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:

Haut, Terry Scot ^[1]; Ahrens, Cory D. ^[1];

^[1];

^[1]; Till, Andrew ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2016-11-04

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):: LA-UR-16-22032
Journal ID: ISSN 0022-4073

Grant/Contract Number:: AC52-06NA25396

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 0022-4073

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 cross-sections that vary rapidly in energy.  United States: N. p., 2016. 
Web.  doi:10.1016/j.jqsrt.2016.10.019.

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                    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.  https://doi.org/10.1016/j.jqsrt.2016.10.019

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                    Haut, Terry Scot, Ahrens, Cory D., Jonko, Alexandra, Lowrie, Robert B., and Till, Andrew. Fri .  
"A new multigroup method for cross-sections that vary rapidly in energy".  United States.  https://doi.org/10.1016/j.jqsrt.2016.10.019.  https://www.osti.gov/servlets/purl/1375164.

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@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}

}

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