Application of convergence acceleration to the reactor kinetic equations

A comparative study

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

Abstract

This presentation provides a comparison of two methodologies for the solution of reactor kinetic equations, namely for a standard finite difference and a semi-analytical approach. The above-mentioned methods are implemented in a convergence acceleration framework to enhance their efficiency and a comparative study is reported to verify whether it is more convenient to use a rudimentary but fast algorithm (finite difference) with respect to the more refined but computationally intense approach of the semi-analytical method. Performance on several test cases from the literature are compared.

Original languageEnglish (US)
Title of host publicationInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Pages2666-2677
Number of pages12
Volume4
StatePublished - 2013
EventInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 - Sun Valley, ID, United States
Duration: May 5 2013May 9 2013

Other

OtherInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
CountryUnited States
CitySun Valley, ID
Period5/5/135/9/13

Fingerprint

Acceleration of Convergence
Kinetic Equation
Reactor
Comparative Study
Finite Difference
Convergence Acceleration
Semi-analytical Method
Kinetics
Fast Algorithm
Verify
Methodology
Framework
Standards
Presentation

Keywords

  • Benchmarking
  • Convergence acceleration
  • Reactor kinetics

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Applied Mathematics

Cite this

Picca, P., Furfaro, R., & Ganapol, B. D. (2013). Application of convergence acceleration to the reactor kinetic equations: A comparative study. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 (Vol. 4, pp. 2666-2677)

Application of convergence acceleration to the reactor kinetic equations : A comparative study. / Picca, Paolo; Furfaro, Roberto; Ganapol, Barry D.

International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013. Vol. 4 2013. p. 2666-2677.

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

Picca, P, Furfaro, R & Ganapol, BD 2013, Application of convergence acceleration to the reactor kinetic equations: A comparative study. in International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013. vol. 4, pp. 2666-2677, International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013, Sun Valley, ID, United States, 5/5/13.
Picca P, Furfaro R, Ganapol BD. Application of convergence acceleration to the reactor kinetic equations: A comparative study. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013. Vol. 4. 2013. p. 2666-2677
Picca, Paolo ; Furfaro, Roberto ; Ganapol, Barry D. / Application of convergence acceleration to the reactor kinetic equations : A comparative study. International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013. Vol. 4 2013. pp. 2666-2677
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