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

Isotalo, Aarno E.; Wieselquist, William A.

doi:10.1016/j.anucene.2015.04.037

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

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Abstract

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.

Authors:

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

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

Publication Date:: Fri May 15 00:00:00 EDT 2015

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1185794

Alternate Identifier(s):: OSTI ID: 1247880

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Annals of Nuclear Energy (Oxford)

Additional Journal Information:: Journal Name: Annals of Nuclear Energy (Oxford); Journal Volume: 85; Journal ID: ISSN 0306-4549

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; CRAM; ORIGEN; depletion; external feed; source term

Citation Formats


                    Isotalo, Aarno E., and Wieselquist, William A. A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN.  United States: N. p., 2015. 
Web.  doi:10.1016/j.anucene.2015.04.037.

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                    Isotalo, Aarno E., & Wieselquist, William A. A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN.  United States.  https://doi.org/10.1016/j.anucene.2015.04.037

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                    Isotalo, Aarno E., and Wieselquist, William A. Fri .  
"A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN".  United States.  https://doi.org/10.1016/j.anucene.2015.04.037.  https://www.osti.gov/servlets/purl/1185794.

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@article{osti_1185794,

  title        = {A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN},

  author       = {Isotalo, Aarno E. and Wieselquist, William A.},

  abstractNote = {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.},

  doi          = {10.1016/j.anucene.2015.04.037},

  journal      = {Annals of Nuclear Energy (Oxford)},

  number       = ,

  volume       = 85,

  place        = {United States},

  year         = {Fri May 15 00:00:00 EDT 2015},

  month        = {Fri May 15 00:00:00 EDT 2015}

}

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