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

A. E. Isotalo; W. A. Wieselquist

doi:10.1016/j.anucene.2015.04.037

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

A. E. Isotalo, W. A. Wieselquist

Nuclear Energy and Fuel Cycle Division

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

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. Furthermore, in most cases, the new solver is up to several times faster due to not requiring similar substepping as the original one.

Original language	English
Pages (from-to)	68-77
Number of pages	10
Journal	Annals of Nuclear Energy
Volume	85
DOIs	https://doi.org/10.1016/j.anucene.2015.04.037
State	Published - May 16 2015

Keywords

CRAM
Depletion
External feed
ORIGEN
Source term

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10.1016/j.anucene.2015.04.037

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

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. Furthermore, in most cases, the new solver is up to several times faster due to not requiring similar substepping as the original one.",

keywords = "CRAM, Depletion, External feed, ORIGEN, Source term",

author = "Isotalo, \{A. E.\} and Wieselquist, \{W. A.\}",

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doi = "10.1016/j.anucene.2015.04.037",

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journal = "Annals of Nuclear Energy",

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T1 - A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN

AU - Isotalo, A. E.

AU - Wieselquist, W. A.

PY - 2015/5/16

Y1 - 2015/5/16

N2 - 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. Furthermore, in most cases, the new solver is up to several times faster due to not requiring similar substepping as the original one.

AB - 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. Furthermore, in most cases, the new solver is up to several times faster due to not requiring similar substepping as the original one.

KW - CRAM

KW - Depletion

KW - External feed

KW - ORIGEN

KW - Source term

UR - https://www.scopus.com/pages/publications/84929318479

U2 - 10.1016/j.anucene.2015.04.037

DO - 10.1016/j.anucene.2015.04.037

M3 - Article

AN - SCOPUS:84929318479

SN - 0306-4549

VL - 85

SP - 68

EP - 77

JO - Annals of Nuclear Energy

JF - Annals of Nuclear Energy

ER -

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

Abstract

Keywords

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