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

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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	NESC0313/01	Tested	01-JAN-1969
CINDER-10	NESC0313/02	Arrived	09-NOV-2001

Machines used:

Package ID	Orig. computer	Test computer
NESC0313/01	IBM 360 series	IBM 360 series
NESC0313/02	CRAY X-MP

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3. DESCRIPTION OF PROBLEM 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. METHOD OF SOLUTION

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 AND AUXILIARY PROGRAMS

A previous version of CINDER
existed for the Philco 2000.

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9. STATUS

Package ID	Status date	Status
NESC0313/01	01-JAN-1969	Tested at NEADB
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.

NESC0313/01, 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).

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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11. MACHINE REQUIREMENTS:

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NESC0313/01	FORTRAN-IV
NESC0313/02	FORTRAN

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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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, Pennsylvania  15122
   360           T. C. Gorrell and J. H. Hightower
                 Savannah River Laboratory
                 E. I. duPont de Nemours and Company
                 Aiken, South Carolina  29801

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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

NESC0313/01