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

Barry D Ganapol, K. T. Clarno, Seth Johnson, Cassiano De Oliveira, Steven Hamilton

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 required 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. Additional code comparisons will be presented.

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 - 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

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

Fingerprint

Neutron Transport
interpolation
Interpolate
Benchmark
neutrons
kernel
Point Source
embedding
Numerical Scheme
point sources
Finite Element
formulations
Formulation
Evaluate

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Nuclear and High Energy Physics

Cite this

Ganapol, B. D., Clarno, K. T., Johnson, S., De Oliveira, C., & Hamilton, S. (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

An embedded semi-analytical benchmark via iterative interpolation for neutron transport methods verification. / Ganapol, Barry D; Clarno, K. T.; Johnson, Seth; De Oliveira, Cassiano; Hamilton, Steven.

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

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

Ganapol, BD, Clarno, KT, Johnson, S, De Oliveira, C & Hamilton, S 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, Monterey, CA, United States, 4/15/07.
Ganapol BD, Clarno KT, Johnson S, De Oliveira C, Hamilton S. 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. 2007
Ganapol, Barry D ; Clarno, K. T. ; Johnson, Seth ; De Oliveira, Cassiano ; Hamilton, Steven. / An embedded semi-analytical benchmark via iterative interpolation for neutron transport methods verification. Joint International Topical Meeting on Mathematics and Computations and Supercomputing in Nuclear Applications, M and C + SNA 2007. 2007.
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