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IAEA1202 EQUIVA.

EQUIVA, Few-Group Diffusion Parameter for PWR Reflector Region by 1-D Transport Calculation

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1. NAME OR DESIGNATION OF PROGRAM:  EQUIVA.
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2. COMPUTERS
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Program name Package id Status Status date
EQUIVA-1 IAEA1202/01 Tested 19-JUL-2002
EQUIVA-2 IAEA1202/02 Tested 19-JUL-2002

Machines used:

Package ID Orig. computer Test computer
IAEA1202/01 IBM 370 series PC Pentium III
IAEA1202/02 IBM 370 series PC Pentium III
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3. DESCRIPTION OF PROGRAM OR FUNCTION

EQUIVA-1 generates few-group equivalent diffusion theory parameters for pressurized water (PWR) reflector regions from the results of simple one-dimensional (slab)  multigroup transport calculations. The one-dimensional "normalized generalized equivalence theory" (NGET) method is used for this purpose. Equivalent parameters can be generated for any number of condensed energy groups and for different material regions, such as  for the explicit baffle and water reflector of the radial reflector  of a PWR, or for the homogenized baffle/reflector.
EQUIVA-2 generates environment-insensitive equivalent diffusion theory parameters for pressurized water (PWR) reflector regions from the results of simple one-dimensional (slab) multigroup transport calculations. The one-dimensional reflector models have been implemented, namely the few-group NGET-RM method and the two-group KOEBKE-RM method. Equivalent parameters can be generated for one homogenized region only, although this region itself may be constituted by any number of component regions.
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4. METHOD OF SOLUTION

EQUIVA-1: Analytic functions of non-symmetric real matrices are computed by means of a spectral analysis method.
EQUIVA-2: Analytic functions of non-symmetric real matrices are computed by means of a spectral analysis method. Component region slab response matrices are combined using rigorous addition rules to obtain a global response matrix for a single region/node.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

EQUIVA-1.1 is a variably dimensioned code and there is no restriction on the number  of energy groups, etc. The size of the problem is restricted only by the computer core storage available.
EQUIVA-2.0 is a variably dimensioned code and there is no restriction on the number of energy groups, etc. The size of the problem is restricted only by the computer core storage available.
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6. TYPICAL RUNNING TIME

EQUIVA-1: The running time for a single PWR radial reflector problem consisting of group condensation from 69 to 2 energy groups, spatial homogenization of 2 regions, and computation of the NGET parameters for the homogenized node, is of the order of a few seconds on a mainframe computer.
EQUIVA-2: The running time for a single PWR radial reflector problem consisting of group condensation from 69 to 2 energy groups, spatial homogenization of 2 regions, and computation of the NGET-RM parameters for the homogenized node, is of the order of a few seconds on a mainframe computer.
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7. UNUSUAL FEATURES: UNUSUAL FEATURES OF THE PROGRAM
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8. RELATED OR AUXILIARY PROGRAMS: RELATED AND AUXILIARY PROGRAMS
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9. STATUS
Package ID Status date Status
IAEA1202/01 19-JUL-2002 Tested at NEADB
IAEA1202/02 19-JUL-2002 Tested at NEADB
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10. REFERENCES
IAEA1202/01, included references:
- E.Z. Mueller:
  EQUIVA-1 - A Code for Generating One-Dimensional NGET Cross
  Sections for PWR Ex-Core Regions
  PEL-301 (January 1991).
- E.Z. Mueller:
  Environment-Insensitive Equivalent Diffusion Theory Group
  Constants for Pressurized Water Reactor Radial Reflector Regions
  Reprint from Nuclear Science & Engineering 103, 359-376 (1989).
IAEA1202/02, included references:
- E.Z. Mueller:
  EQUIVA-2 A Code for Generating Environment-Insensitive Equivalent
  Nodal Parameters for PWR Reflector Regions
  PEL 307 (March 1991).
- E.Z. Mueller:
  The One-Dimensional Normalised Generalised Equivalence Theory
  (NGET) for Generating Equivalent Diffusion Theory Group Constants
  for PWR Reflector Regions
  PEL-303 (January 1991).
- E.Z. Mueller:
  Improved Pressurized Water Reactor Radial Reflector Modeling
  in Nodal Analysis
  Reprint from Nuclear Science and Engineering, 109, 200-214 (1991)
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11. HARDWARE REQUIREMENTS: MACHINE REQUIREMENTS
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
IAEA1202/01 FORTRAN-77
IAEA1202/02 FORTRAN-77
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  IBM 370 MVS.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
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15. NAME AND ESTABLISHMENT OF AUTHORS

   E.Z. MUELLER and M.S. WHEELER
   Atomic Energy Corporation of South Africa (Ltd)
   Reactor Theory Division, Building P-1900
   P.O. Box 582
   PRETORIA 0001, Republic of South Africa
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16. MATERIAL AVAILABLE
IAEA1202/01
test-case data   mag tapeEQUIVA.INFO Information File               DATTP
source program   mag tapeMAIN.FORT Source for Main Program          SRCTP
source program   mag tapeMAIN1.FORT Source for Main1 Program        SRCTP
source program   mag tapeINTDATA.FORT Source for INDATA Module      SRCTP
source program   mag tapeXSEC.FORT Source for XSEC Module           SRCTP
source program   mag tapeBUCREP.FORT Source for BUCREP Module       SRCTP
source program   mag tapeDISCON.FORT Source for DISCON Module       SRCTP
source program   mag tapeFUNCTION.FORT Source for FUNCTION Module   SRCTP
source program   mag tapeDLIB.FORT Source for DLIB Module           SRCTP
test-case data   mag tapeEQUIVA.CMPL JCL to Compile EQUIVA1         DATTP
test-case data   mag tapeSAMPLE1.RUN JCL & Input Data S. P. 1       DATTP
test-case data   mag tapeSAMPLE2.RUN JCL & Input Data S. P. 2       DATTP
test-case data   mag tapeXSEC.DATA X-sec Data for Sample Problems   DATTP
test-case output mag tapeSAMPLE1.OUTPUT Output for S. P. 1          OUTTP
test-case output mag tapeSAMPLE2.OUTPUT Output for S. P. 2          OUTTP
report                   PEL 301 (January 1991)                     REPPT
paper                    Reprint Nucl.Sci.& Engr.103,359-376(1989)  PAPPT

IAEA1202/02
source program   mag tapeMAIN.FOR Source for MAIN Program           SRCTP
source program   mag tapeMAIN1.FOR Source for MAIN1 Module          SRCTP
source program   mag tapeINDATA.FOR Source for INDATA Module        SRCTP
source program   mag tapeXSEC.FOR Source for XSEC Module            SRCTP
source program   mag tapeBUCREP.FOR Source for BUCREP Module        SRCTP
source program   mag tapeDISCON.FOR Source for DISCON Module        SRCTP
source program   mag tapeFUNCTION.FOR Source for FUNCTION Module    SRCTP
source program   mag tapeDLIB.FOR Source for DLIB Module            SRCTP
test-case data   mag tapeEQUIVA2.CMP JCL to Compile EQUIVA2         DATTP
test-case data   mag tapeSAMPLE1.RUN JCL and Input Data for S. P. 1 DATTP
test-case data   mag tapeSAMPLE2.RUN JCL and Input Data for S. P. 2 DATTP
test-case data   mag tapeXSEC.DAT Cross Section Data for S. P.      DATTP
test-case output mag tapeSAMPLE1.OUT Output for Sample Problem 1    OUTTP
test-case output mag tapeSAMPLE2.OUT Output for Sample Problem 2    OUTTP
report                   PEL 307 (March 1991)                       REPPT
report                   PEL 303 (January 1991)                     REPPT
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17. CATEGORIES
  • B. Spectrum Calculations, Generation of Group Constants and Cell Problems

Keywords: group constants, neutron diffusion equation, neutron reflectors, neutron spectra, one-dimensional, pwr reactors, transport theory.