A S{sub 2}-like acceleration method for the Nonlinear Characteristic transport scheme

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Recently a nonlinear spatial differencing scheme for solving the discrete-ordinate equations was introduced. This scheme, referred to as the Nonlinear Characteristic (NC) scheme, is accurate for both optically thin and optically thick spatial meshes and is strictly positive. The NC discrete-ordinate equations can be solved using the source iteration (SI) method. It is well known that the SI method converges infinitely slowly for optically thick problems with scattering ratios near unity. In this summary, we describe a S{sub 2}-like acceleration scheme for accelerating the convergence of the SI method as applied to the NC scheme and provide results to show … continued below

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6 p.

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Wareing, T. A.; Walters, W. F. & Morel, J. E. August 1, 1994.

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Recently a nonlinear spatial differencing scheme for solving the discrete-ordinate equations was introduced. This scheme, referred to as the Nonlinear Characteristic (NC) scheme, is accurate for both optically thin and optically thick spatial meshes and is strictly positive. The NC discrete-ordinate equations can be solved using the source iteration (SI) method. It is well known that the SI method converges infinitely slowly for optically thick problems with scattering ratios near unity. In this summary, we describe a S{sub 2}-like acceleration scheme for accelerating the convergence of the SI method as applied to the NC scheme and provide results to show how effective it is.

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6 p.

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OSTI as DE94016285; Paper copy available at OSTI: phone, 865-576-8401, or email, reports@adonis.osti.gov

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  • Winter meeting of the American Nuclear Society (ANS),Washington, DC (United States),13-18 Nov 1994

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  • Other: DE94016285
  • Report No.: LA-UR--94-2397
  • Report No.: CONF-941102--13
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 10171774
  • Archival Resource Key: ark:/67531/metadc1340332

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  • August 1, 1994

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  • Nov. 28, 2018, 2:33 p.m.

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  • Dec. 10, 2018, 6:09 p.m.

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Wareing, T. A.; Walters, W. F. & Morel, J. E. A S{sub 2}-like acceleration method for the Nonlinear Characteristic transport scheme, article, August 1, 1994; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1340332/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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