A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN

Journal Article · Fri May 15 00:00:00 EDT 2015 · Annals of Nuclear Energy (Oxford)

DOI:https://doi.org/10.1016/j.anucene.2015.04.037· OSTI ID:1185794

Isotalo, Aarno E. ^[1]; Wieselquist, William A. ^[2]

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1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Aalto Univ., Aalto (Finland)
2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

A method for including external feed with polynomial time dependence in depletion calculations with the Chebyshev Rational Approximation Method (CRAM) is presented and the implementation of CRAM to the ORIGEN module of the SCALE suite is described. In addition to being able to handle time-dependent feed rates, the new solver also adds the capability to perform adjoint calculations. Results obtained with the new CRAM solver and the original depletion solver of ORIGEN are compared to high precision reference calculations, which shows the new solver to be orders of magnitude more accurate. Lastly, in most cases, the new solver is up to several times faster due to not requiring similar substepping as the original one.

• Research Organization: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC05-00OR22725
• OSTI ID: 1185794
• Alternate ID(s): OSTI ID: 1247880
• Journal Information: Annals of Nuclear Energy (Oxford), Vol. 85; ISSN 0306-4549
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
CRAM
ORIGEN
depletion
external feed
source term