A Photon Free Method to Solve Radiation Transport Equations

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The multi-group discrete-ordinate equations of radiation transfer is solved for the first time by Newton's method. It is a photon free method because the photon variables are eliminated from the radiation equations to yield a N{sub group}XN{sub direction} smaller but equivalent system of equations. The smaller set of equations can be solved more efficiently than the original set of equations. Newton's method is more stable than the Semi-implicit Linear method currently used by conventional radiation codes.

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PDF-file: 16 pages; size: 0.2 Mbytes

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Chang, B September 5, 2006.

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Description

The multi-group discrete-ordinate equations of radiation transfer is solved for the first time by Newton's method. It is a photon free method because the photon variables are eliminated from the radiation equations to yield a N{sub group}XN{sub direction} smaller but equivalent system of equations. The smaller set of equations can be solved more efficiently than the original set of equations. Newton's method is more stable than the Semi-implicit Linear method currently used by conventional radiation codes.

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PDF-file: 16 pages; size: 0.2 Mbytes

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  • Presented at: Grannlibakken Transport Workshop, Tahoe, CA, United States, Sep 09 - Sep 16, 2006

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  • Report No.: UCRL-CONF-224189
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 894002
  • Archival Resource Key: ark:/67531/metadc877476

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • September 5, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 30, 2016, 4:43 p.m.

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Chang, B. A Photon Free Method to Solve Radiation Transport Equations, article, September 5, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc877476/: accessed April 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.