A Parallel Multigrid Method for Neutronics Applications

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The multigrid method has been shown to be the most effective general method for solving the multi-dimensional diffusion equation encountered in neutronics. This being the method of choice, we develop a strategy for implementing the multigrid method on computers of massively parallel architecture. This leads us to strategies for parallelizing the relaxation, contraction (interpolation), and prolongation operators involved in the method. We then compare the efficiency of our parallel multigrid with other parallel methods for solving the diffusion equation on selected problems encountered in reactor physics.

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16 p.

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Alcouffe, Raymond E. January 1, 2001.

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Description

The multigrid method has been shown to be the most effective general method for solving the multi-dimensional diffusion equation encountered in neutronics. This being the method of choice, we develop a strategy for implementing the multigrid method on computers of massively parallel architecture. This leads us to strategies for parallelizing the relaxation, contraction (interpolation), and prolongation operators involved in the method. We then compare the efficiency of our parallel multigrid with other parallel methods for solving the diffusion equation on selected problems encountered in reactor physics.

Physical Description

16 p.

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  • "Submitted to: "International Meeting on Mathematical Methods for Nuclear Applications, Salt Lake City, Utah, September 9-13, 2001".

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  • Report No.: LA-UR-01-1804
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 975278
  • Archival Resource Key: ark:/67531/metadc930309

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • January 1, 2001

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 12:43 p.m.

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Alcouffe, Raymond E. A Parallel Multigrid Method for Neutronics Applications, article, January 1, 2001; United States. (digital.library.unt.edu/ark:/67531/metadc930309/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.