Improving the Accuracy of High-Order Nodal Transport Methods

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This paper outlines some recent advances towards improving the accuracy of neutron transport calculations using the Arbitrarily High Order Transport-Nodal (AHOT-N) Method. These advances consist of several contributions: (a) A formula for the spatial weights that allows for the polynomial order to be raised arbitrarily high without suffering adverse effects from round-off error; (b) A reconstruction technique for the angular flux, based upon a recursive formula, that reduces the pointwise error by one ordeq (c) An a posterior error indicator that estimates the true error and its distribution throughout the domain, so that it can be used for adaptively refining ... continued below

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Azmy, Y.Y.; Buscaglia, G.C. & Zamonsky, O.M. September 1999.

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This paper outlines some recent advances towards improving the accuracy of neutron transport calculations using the Arbitrarily High Order Transport-Nodal (AHOT-N) Method. These advances consist of several contributions: (a) A formula for the spatial weights that allows for the polynomial order to be raised arbitrarily high without suffering adverse effects from round-off error; (b) A reconstruction technique for the angular flux, based upon a recursive formula, that reduces the pointwise error by one ordeq (c) An a posterior error indicator that estimates the true error and its distribution throughout the domain, so that it can be used for adaptively refining the approximation. Present results are mainly for ID, extension to 2D-3D is in progress.

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  • International Conference on Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications, Madrid, Spain, September 27-30, 1999

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  • Other: DE00006249
  • Report No.: ORNL/CP-102471
  • Grant Number: AC05-96OR22464
  • Office of Scientific & Technical Information Report Number: 6249
  • Archival Resource Key: ark:/67531/metadc695049

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  • September 1999

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  • Aug. 14, 2015, 8:43 a.m.

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  • June 10, 2016, 5:19 p.m.

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Azmy, Y.Y.; Buscaglia, G.C. & Zamonsky, O.M. Improving the Accuracy of High-Order Nodal Transport Methods, article, September 1999; Oak Ridge, Tennessee. (digital.library.unt.edu/ark:/67531/metadc695049/: accessed November 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.