Analytical Radiation Transport Benchmarks for The Next Century

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Verification of large-scale computational algorithms used in nuclear engineering and radiological applications is an essential element of reliable code performance. For this reason, the development of a suite of multidimensional semi-analytical benchmarks has been undertaken to provide independent verification of proper operation of codes dealing with the transport of neutral particles. The benchmarks considered cover several one-dimensional, multidimensional, monoenergetic and multigroup, fixed source and critical transport scenarios. The first approach, called the Green's Function. In slab geometry, the Green's function is incorporated into a set of integral equations for the boundary fluxes. Through a numerical Fourier transform inversion and subsequent ... continued below

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Ganapol, B. D. January 19, 2005.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 11 times . More information about this report can be viewed below.

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Description

Verification of large-scale computational algorithms used in nuclear engineering and radiological applications is an essential element of reliable code performance. For this reason, the development of a suite of multidimensional semi-analytical benchmarks has been undertaken to provide independent verification of proper operation of codes dealing with the transport of neutral particles. The benchmarks considered cover several one-dimensional, multidimensional, monoenergetic and multigroup, fixed source and critical transport scenarios. The first approach, called the Green's Function. In slab geometry, the Green's function is incorporated into a set of integral equations for the boundary fluxes. Through a numerical Fourier transform inversion and subsequent matrix inversion for the boundary fluxes, a semi-analytical benchmark emerges. Multidimensional solutions in a variety of infinite media are also based on the slab Green's function. In a second approach, a new converged SN method is developed. In this method, the SN solution is ''minded'' to bring out hidden high quality solutions. For this case multigroup fixed source and criticality transport problems are considered. Remarkably accurate solutions can be obtained with this new method called the Multigroup Converged SN (MGCSN) method as will be demonstrated.

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INIS; OSTI as DE00836281

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  • Other Information: PBD: 19 Jan 2005

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  • Report No.: DOE/ID/14113
  • Grant Number: FG07-01ID14113
  • DOI: 10.2172/836281 | External Link
  • Office of Scientific & Technical Information Report Number: 836281
  • Archival Resource Key: ark:/67531/metadc783006

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  • January 19, 2005

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  • Dec. 3, 2015, 9:30 a.m.

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  • Jan. 3, 2017, 6:23 p.m.

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Ganapol, B. D. Analytical Radiation Transport Benchmarks for The Next Century, report, January 19, 2005; United States. (digital.library.unt.edu/ark:/67531/metadc783006/: accessed December 9, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.