Performance of a parallel algorithm for solving the neutron diffusion equation on the hypercube

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The one-group, steady state neutron diffusion equation in two- dimensional Cartesian geometry is solved using the nodal method technique. By decoupling sets of equations representing the neutron current continuity along the length of rows and columns of computational cells a new iterative algorithm is derived that is more suitable to solving large practical problems. This algorithm is highly parallelizable and is implemented on the Intel iPSC/2 hypercube in three versions which differ essentially in the total size of communicated data. Even though speedup was achieved, the efficiency is very low when many processors are used leading to the conclusion that … continued below

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19 pages

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Kirk, B.L. & Azmy, Y.Y. January 1, 1989.

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The one-group, steady state neutron diffusion equation in two- dimensional Cartesian geometry is solved using the nodal method technique. By decoupling sets of equations representing the neutron current continuity along the length of rows and columns of computational cells a new iterative algorithm is derived that is more suitable to solving large practical problems. This algorithm is highly parallelizable and is implemented on the Intel iPSC/2 hypercube in three versions which differ essentially in the total size of communicated data. Even though speedup was achieved, the efficiency is very low when many processors are used leading to the conclusion that the hypercube is not as well suited for this algorithm as shared memory machines. 10 refs., 1 fig., 3 tabs.

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19 pages

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NTIS, PC A03/MF A01 - OSTI; 1.

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  • 18. international conference on parallel processing, Chicago, IL, USA, 8-12 Aug 1989

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  • Other: DE89006128
  • Report No.: CONF-890844-1
  • Grant Number: AC05-84OR21400
  • Office of Scientific & Technical Information Report Number: 5937739
  • Archival Resource Key: ark:/67531/metadc1099109

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  • January 1, 1989

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  • Feb. 18, 2018, 3:59 p.m.

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  • Aug. 2, 2019, 1:18 p.m.

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Kirk, B.L. & Azmy, Y.Y. Performance of a parallel algorithm for solving the neutron diffusion equation on the hypercube, article, January 1, 1989; Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1099109/: accessed April 27, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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