An embedded semi-analytical benchmark via iterative interpolation for neutron transport methods verification

B. D. Ganapol, Cassiano De Oliveira

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new multidimensional semi-analytical benchmark capability is developed. The key feature in the solution is the point kernel formulation. The 3D nature of the source is inherited in the flux making this a true multidimensional test. In addition, an efficient numerical scheme, called iterative interpolation, is used to evaluate the requited point kernel solution and maintain benchmark accuracy. The EVENT finite element transport algorithm is compared to the point source solution as the first step of embedding the benchmark directly with the EVENT code.

Original languageEnglish (US)
Title of host publicationJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
StatePublished - Dec 3 2007
EventJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 - Monterey, CA, United States
Duration: Apr 15 2007Apr 19 2007

Publication series

NameJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007

Other

OtherJoint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007
CountryUnited States
CityMonterey, CA
Period4/15/074/19/07

Keywords

  • Analytical solution
  • EVENT code
  • Fourier transform
  • Point source
  • Verification

ASJC Scopus subject areas

  • Mathematics(all)
  • Nuclear and High Energy Physics

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  • Cite this

    Ganapol, B. D., & De Oliveira, C. (2007). An embedded semi-analytical benchmark via iterative interpolation for neutron transport methods verification. In Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007 (Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007).