Gray and multigroup radiation transport models for two-dimensional binary stochastic media using effective opacities

Olson, Gordon L.

doi:10.1016/j.jqsrt.2015.09.005

Title: Gray and multigroup radiation transport models for two-dimensional binary stochastic media using effective opacities

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Abstract

One-dimensional models for the transport of radiation through binary stochastic media do not work in multi-dimensions. In addition, authors have attempted to modify or extend the 1D models to work in multidimensions without success. Analytic one-dimensional models are successful in 1D only when assuming greatly simplified physics. State of the art theories for stochastic media radiation transport do not address multi-dimensions and temperature-dependent physics coefficients. Here, the concept of effective opacities and effective heat capacities is found to well represent the ensemble averaged transport solutions in cases with gray or multigroup temperature-dependent opacities and constant or temperature-dependent heat capacities. In every case analyzed here, effective physics coefficients fit the transport solutions over a useful range of parameter space. The transport equation is solved with the spherical harmonics method with angle orders of n=1 and 5. Although the details depend on what order of solution is used, the general results are similar, independent of angular order.

Authors:

Olson, Gordon L. ^[1]

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

Publication Date:: Thu Sep 24 00:00:00 EDT 2015

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1235918

Report Number(s):: LA-UR-15-21833
Journal ID: ISSN 0022-4073; PII: S0022407315003003

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Quantitative Spectroscopy and Radiative Transfer

Additional Journal Information:: Journal Volume: 168; Journal Issue: C; Journal ID: ISSN 0022-4073

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; stochastic media; radiation transport; gray transport; multigroup transport

Citation Formats


                    Olson, Gordon L. Gray and multigroup radiation transport models for two-dimensional binary stochastic media using effective opacities.  United States: N. p., 2015. 
Web.  doi:10.1016/j.jqsrt.2015.09.005.

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                    Olson, Gordon L. Gray and multigroup radiation transport models for two-dimensional binary stochastic media using effective opacities.  United States.  https://doi.org/10.1016/j.jqsrt.2015.09.005

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                    Olson, Gordon L. Thu .  
"Gray and multigroup radiation transport models for two-dimensional binary stochastic media using effective opacities".  United States.  https://doi.org/10.1016/j.jqsrt.2015.09.005.  https://www.osti.gov/servlets/purl/1235918.

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@article{osti_1235918,

  title        = {Gray and multigroup radiation transport models for two-dimensional binary stochastic media using effective opacities},

  author       = {Olson, Gordon L.},

  abstractNote = {One-dimensional models for the transport of radiation through binary stochastic media do not work in multi-dimensions. In addition, authors have attempted to modify or extend the 1D models to work in multidimensions without success. Analytic one-dimensional models are successful in 1D only when assuming greatly simplified physics. State of the art theories for stochastic media radiation transport do not address multi-dimensions and temperature-dependent physics coefficients. Here, the concept of effective opacities and effective heat capacities is found to well represent the ensemble averaged transport solutions in cases with gray or multigroup temperature-dependent opacities and constant or temperature-dependent heat capacities. In every case analyzed here, effective physics coefficients fit the transport solutions over a useful range of parameter space. The transport equation is solved with the spherical harmonics method with angle orders of n=1 and 5. Although the details depend on what order of solution is used, the general results are similar, independent of angular order.},

  doi          = {10.1016/j.jqsrt.2015.09.005},

  journal      = {Journal of Quantitative Spectroscopy and Radiative Transfer},

  number       = C,

  volume       = 168,

  place        = {United States},

  year         = {Thu Sep 24 00:00:00 EDT 2015},

  month        = {Thu Sep 24 00:00:00 EDT 2015}

}

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