2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons

Kelley, B. W.; Collins, B.; Larsen, E. W.

Title: 2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons

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Abstract

In a companion paper [1], (i) several new '2D/1D equations' are introduced as accurate approximations to the 3D Boltzmann transport equation, (ii) the simplest of these approximate equations is systematically discretized, and (iii) a theoretically stable iteration scheme is developed to solve the discrete equations. In this paper, numerical results are presented that confirm the theoretical predictions made in [1]. (authors)

Authors:

Kelley, B. W.; Collins, B.; Larsen, E. W. ^[1]

Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, MI 48109 (United States)

Publication Date:: Mon Jul 01 00:00:00 EDT 2013

Research Org.:: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)

OSTI Identifier:: 22212803

Resource Type:: Conference

Resource Relation:: Conference: M and C 2013: 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Sun Valley, ID (United States), 5-9 May 2013; Other Information: Country of input: France; 7 refs.; Related Information: In: Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013| 3016 p.

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; BOLTZMANN EQUATION; COMPARATIVE EVALUATIONS; FOURIER ANALYSIS; NEUTRON TRANSPORT; NEUTRON TRANSPORT THEORY; ONE-DIMENSIONAL CALCULATIONS; SIMULATION; THREE-DIMENSIONAL CALCULATIONS

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                    Kelley, B. W., Collins, B., and Larsen, E. W. 2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons.  United States: N. p., 2013. 
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                    Kelley, B. W., Collins, B., & Larsen, E. W. 2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons.  United States.

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                    Kelley, B. W., Collins, B., and Larsen, E. W. 2013.  
        "2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons".  United States.

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@article{osti_22212803,

  title        = {2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons},

  author       = {Kelley, B. W. and Collins, B. and Larsen, E. W.},

  abstractNote = {In a companion paper [1], (i) several new '2D/1D equations' are introduced as accurate approximations to the 3D Boltzmann transport equation, (ii) the simplest of these approximate equations is systematically discretized, and (iii) a theoretically stable iteration scheme is developed to solve the discrete equations. In this paper, numerical results are presented that confirm the theoretical predictions made in [1]. (authors)},

  doi          = {},

  url          = {https://www.osti.gov/biblio/22212803},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Mon Jul 01 00:00:00 EDT 2013},

  month        = {Mon Jul 01 00:00:00 EDT 2013}

}

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