Parallel FE Approximation of the Even/Odd Parity Form of the Linear Boltzmann Equation

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Description

A novel solution method has been developed to solve the linear Boltzmann equation on an unstructured triangular mesh. Instead of tackling the first-order form of the equation, this approach is based on the even/odd-parity form in conjunction with the conventional mdtigroup discrete-ordinates approximation. The finite element method is used to treat the spatial dependence. The solution method is unique in that the space-direction dependence is solved simultaneously, eliminating the need for the conventional inner iterations, and the method is well suited for massively parallel computers.

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19 Pages

Creation Information

Drumm, Clifton R. & Lorenz, Jens July 21, 1999.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA
    Place of Publication: Albuquerque, New Mexico

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Description

A novel solution method has been developed to solve the linear Boltzmann equation on an unstructured triangular mesh. Instead of tackling the first-order form of the equation, this approach is based on the even/odd-parity form in conjunction with the conventional mdtigroup discrete-ordinates approximation. The finite element method is used to treat the spatial dependence. The solution method is unique in that the space-direction dependence is solved simultaneously, eliminating the need for the conventional inner iterations, and the method is well suited for massively parallel computers.

Physical Description

19 Pages

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  • Journal Name: Mathematical and Computer Modeling

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  • Other: DE00009478
  • Report No.: SAND99-1916J
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 9478
  • Archival Resource Key: ark:/67531/metadc793410

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • July 21, 1999

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

Description Last Updated

  • Nov. 30, 2016, 4:12 p.m.

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Drumm, Clifton R. & Lorenz, Jens. Parallel FE Approximation of the Even/Odd Parity Form of the Linear Boltzmann Equation, article, July 21, 1999; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc793410/: accessed May 28, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.