Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN

A. E. Isotalo; W. A. Wieselquist

Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN

A. E. Isotalo, W. A. Wieselquist

Oak Ridge National Laboratory

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

4 Citations (Scopus)

Abstract

The ORIGEN module of SCALE has been updated with a Chebyshev Rational Approximation Method (CRAM) depletion solver. To allow the new solver to model external feed, a method has been developed for including a source term with polynomial time dependency to CRAM. It is also shown that while the accuracy of CRAM is only weakly affected by step lengths, it improves greatly over subsequent steps with equal lengths and coefficient matrices. An internal substepping method that allows this behavior to be efficiently exploited to improve the accuracy of CRAM is presented. In addition to being able to handle time-dependent feed rates and adjoint calculations, the new CRAM solver is generally faster and, even without substeps, more accurate than the original depletion solver of ORIGEN.

Original language	English
Title of host publication	Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
Publisher	American Nuclear Society
Pages	886-897
Number of pages	12
Volume	2
ISBN (Electronic)	9781510808041
Publication status	Published - 2015
MoE publication type	A4 Conference publication
Event	Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference - Nashville, United States Duration: 19 Apr 2015 → 23 Apr 2015

Conference

Conference	Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference
Abbreviated title	M and C+SNA+MC
Country/Territory	United States
City	Nashville
Period	19/04/2015 → 23/04/2015

Keywords

CRAM
Depletion
External feed
Internal substeps
ORIGEN

Cite this

@inproceedings{02bdb2e838e444bbbf07c36ce468bc8e,

title = "Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN",

abstract = "The ORIGEN module of SCALE has been updated with a Chebyshev Rational Approximation Method (CRAM) depletion solver. To allow the new solver to model external feed, a method has been developed for including a source term with polynomial time dependency to CRAM. It is also shown that while the accuracy of CRAM is only weakly affected by step lengths, it improves greatly over subsequent steps with equal lengths and coefficient matrices. An internal substepping method that allows this behavior to be efficiently exploited to improve the accuracy of CRAM is presented. In addition to being able to handle time-dependent feed rates and adjoint calculations, the new CRAM solver is generally faster and, even without substeps, more accurate than the original depletion solver of ORIGEN.",

keywords = "CRAM, Depletion, External feed, Internal substeps, ORIGEN",

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

year = "2015",

language = "English",

volume = "2",

pages = "886--897",

booktitle = "Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015",

publisher = "American Nuclear Society",

address = "United States",

note = "Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC ; Conference date: 19-04-2015 Through 23-04-2015",

}

Isotalo, AE & Wieselquist, WA 2015, Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN. in Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015. vol. 2, American Nuclear Society, pp. 886-897, Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, Nashville, Tennessee, United States, 19/04/2015.

Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN. / Isotalo, A. E.; Wieselquist, W. A.
Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015. Vol. 2 American Nuclear Society, 2015. p. 886-897.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN

AU - Isotalo, A. E.

AU - Wieselquist, W. A.

PY - 2015

Y1 - 2015

N2 - The ORIGEN module of SCALE has been updated with a Chebyshev Rational Approximation Method (CRAM) depletion solver. To allow the new solver to model external feed, a method has been developed for including a source term with polynomial time dependency to CRAM. It is also shown that while the accuracy of CRAM is only weakly affected by step lengths, it improves greatly over subsequent steps with equal lengths and coefficient matrices. An internal substepping method that allows this behavior to be efficiently exploited to improve the accuracy of CRAM is presented. In addition to being able to handle time-dependent feed rates and adjoint calculations, the new CRAM solver is generally faster and, even without substeps, more accurate than the original depletion solver of ORIGEN.

AB - The ORIGEN module of SCALE has been updated with a Chebyshev Rational Approximation Method (CRAM) depletion solver. To allow the new solver to model external feed, a method has been developed for including a source term with polynomial time dependency to CRAM. It is also shown that while the accuracy of CRAM is only weakly affected by step lengths, it improves greatly over subsequent steps with equal lengths and coefficient matrices. An internal substepping method that allows this behavior to be efficiently exploited to improve the accuracy of CRAM is presented. In addition to being able to handle time-dependent feed rates and adjoint calculations, the new CRAM solver is generally faster and, even without substeps, more accurate than the original depletion solver of ORIGEN.

KW - CRAM

KW - Depletion

KW - External feed

KW - Internal substeps

KW - ORIGEN

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M3 - Conference article in proceedings

AN - SCOPUS:84949493831

VL - 2

SP - 886

EP - 897

BT - Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015

PB - American Nuclear Society

T2 - Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference

Y2 - 19 April 2015 through 23 April 2015

ER -

Implementation of CRAM depletion solver with external feed and improved accuracy into ORIGEN

Abstract

Conference

Keywords

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