Computer Programs

NESC0313 CINDER.

NESC0313 CINDER.

CINDER, Depletion and Decay Chain Calculation for Fission Products in Thermal Reactors

NAME, COMPUTER, PROBLEM, SOLUTION, RESTRICTIONS, CPU, FEATURES, AUXILIARIES, STATUS, REFERENCES, LANGUAGE, AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM

CINDER(M0102)

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2. COMPUTERS

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Program name	Package id	Status	Status date
CINDER-10	NESC0313/02	Arrived	09-NOV-2001

Machines used:

Package ID	Orig. computer	Test computer
NESC0313/02	CRAY X-MP

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3. DESCRIPTION OF PROGRAM OR FUNCTION

CINDER is a four-group, one-point depletion and fission product program based on the evaluation of a general analytical solution of nuclides coupled in any linear sequence of radioactive decays and neutron absorptions in a specified neutron flux spectrum. The desired depletion and fission product chains and all physical data are specified by the problem originator. The program computes individual nuclide number densities, activities, nine energy-group disintegration rates, and macroscopic and barns/fission poisons at each time-step as well as selected summaries of these data.

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4. METHODS

Time-dependent variations in nuclide cross sections and neutron fluxes are approximated by a user-specified sequential set of values which are considered constant during the duration of the user-specified associated time-increments. When a nuclide concentration is independent of the concentration of any of its progeny, it is possible to resolve the couplings so as to obtain nuclides fed by a single parent. These chains are referred to as linear.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

The program is limited to 500 total nuclides formed in up to 240 chains of 20 or fewer nuclides each. Up to 10 nuclides may act as fission product sources, contributing to power, and as many as 99 time-steps of arbitrary length are permitted. All stable nuclides must have a cross section if zero power time-increments are anticipated.

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6. TYPICAL RUNNING TIME

Two minutes for every time-step is a conservative estimate of running time on the IBM360.

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7. UNUSUAL FEATURES OF THE PROGRAM

During the nuclide concentration calculation the program checks for errors originating from the finite word length of the computer.

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8. RELATED OR AUXILIARY PROGRAMS

A previous version of CINDER existed for the Philco 2000.

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9. STATUS

Package ID	Status date	Status
NESC0313/02	09-NOV-2001	Masterfiled Arrived

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10. REFERENCES

T.C. Gorrell and J.H. Hightower, CINDER - Description and Application, SRL Report, March 8, 1971.

NESC0313/02, included references:

- T.R. England:
  Time-dependent Fission-product Thermal and  Resonance Absorption
  Cross Sections
  WAPD-TM-333 (November 1962) Vol. 1/2.
  WAPD-TM-333 Addendum No.1 (January 1965) Vol. 2/2.
- T.R. England:
  CINDER - A One Point Depletion and Fission Product Program
  WAPD-TM-334 (Revised), (August 1962, Revised June 1964).
- J.A. Dugan:
  CINDER (M0102) Additional Options - Memorandum 2
  WAPD-L-(PA)-89 Preliminary.
- Argonne Code Center Programming Note 72-22 (4-20-72).
- CINDER-10-INPUT-INSTRUCT (Jan. 13, 1992).

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NESC0313/02	FORTRAN

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15. NAME AND ESTABLISHMENT OF AUTHORS

6600: T. R. England

Bettis Atomic Power Laboratory

Westinghouse Electric Corporation

Box 79

West Mifflin, PA 15122, USA

360: T. C. Gorrell and J. H. Hightower

Savannah River Laboratory

E. I. duPont de Nemours and Company

Aiken, SC 29801, USA

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16. MATERIAL AVAILABLE

NESC0313/02

source program   mag tapeCINDER-10 FORTRAN Source program           SRCTP
symb data lib    mag tapeCINDER-10 Data Library                     LBSTP
test-case data   mag tapeCINDER-10 Test Program (Incomplete)        DATTP
test-case data   mag tapeCINDER-10 How to Use                       DATTP
report                   WAPD-TM-333 (November 1962) V. 1/2         REPPT
report                   WAPD-TM-333 + Adden. No. 1 (Jan. 65) V. 2/2REPPT
report                   WAPD-TM-334 (Revised June 1964)            REPPT
report                   WAPD-L-(PA)-89 (Preliminary)               REPPT
prog. note               Argonne Note 72-22 (4-20-72)               NOTPT
user's guide             CINDER-10-INPUT-INSTRUCT (Jan. 13, 1992)   WRKPT

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17. CATEGORIES

D. Depletion, Fuel Management, Cost Analysis, and Power Plant Economics

Keywords: absorption, decay, depletion, fission products, multigroup, poisoning, radioactivity.