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IAEA1232 LABAN-PEL.

LABAN-PEL, 2-D MultiGroup Neutron Diffusion in X-Y Geometry by Response Matrix Eigenvalue

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1. NAME OR DESIGNATION OF PROGRAM:  LABAN-PEL.
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2. COMPUTERS
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Program name Package id Status Status date
LABAN-PEL IAEA1232/01 Tested 17-FEB-1995

Machines used:

Package ID Orig. computer Test computer
IAEA1232/01 Many Computers Many Computers
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3. DESCRIPTION OF PROGRAM OR FUNCTION

LABAN-PEL solves the multigroup neutron diffusion equations in 2-D Cartesian geometry by means of the high-order response matrix eigenvalue method. LABAN-PEL is a modified version of the LABAN code originally written by Lindahl. The new version extends the capabilities of LABAN with regard to the treatment of neutron migration by including an option to utilize full group-to-group diffusion coefficient matrices. In addition, the code has been converted from single to double precision and the necessary routines added to activate its multigroup capability. The  code has been shown to be a useful and valuable method for benchmarking coarse-mesh (nodal) reactor calculational methods.
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4. METHOD OF SOLUTION

The solution to the global reactor problem is obtained by coupling the local solutions for many subregions via partial currents. The local solutions are represented by response functions which characterize the response of a particular subregion  to a partial current incident anywhere on its surface. In the high-order response matrix method, the spatial shapes of partial currents on nodal (coarse-mesh) interfaces are approximated by Legendre polynomial expansions of arbitrary order. The nodal response matrices (for homogeneous nodes) are generated by solving the local multigroup diffusion equations semi-analytically by means  of a Fourier series method. By treating all energy groups simultaneously and including both scattering and fission processes in the local response matrices, an explicit eigenvalue problem is defined. However, the response matrices are implicitly dependent on  a reactivity eigenvalue which is iteratively adjusted until the explicit eigenvalue equals unity. The final value of the implicit eigenvalue is then the multiplication factor (keff).
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

LABAN-PEL is restricted to the solution of 2-D diffusion problems but, since it is a variably dimensioned code, there are no other restrictions (e.g. on the number of energy groups). The size of the problem is restricted only by the computer core storage available.
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6. TYPICAL RUNNING TIME

The running time for a typical 2-group problem such as the 2-D IAEA Benchmark Problem using a P4 approximation (reference quality solution) is of the order of 4 minutes on a 33MHz i80386 PC with an i80837 mathematics co-processor.
IAEA1232/01
The package was tested by NEA-DB on both a 66-MHz PC/80486 and a DEC VAX 6000. The following execution times were required to run the two sample problems included in this package:
(A) PC/80486: 58 seconds for SAMPLE1; 1min21sec for SAMPLE2.
(B) VAX 6000: 55 seconds for SAMPLE1; 1min16sec for SAMPLE2.
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7. UNUSUAL FEATURES OF THE PROGRAM:
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8. RELATED AND AUXILIARY PROGRAMS

LABAN-PEL is a modified version of  the LABAN code written by Lindahl (1976).
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9. STATUS
Package ID Status date Status
IAEA1232/01 17-FEB-1995 Tested at NEADB
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10. REFERENCES

- G.S-O. Lindahl,
  Multi-Dimensional Response Matrix Method,
  PhD Thesis, Kansas State University (1976)
- S-O. Lindahl and Z. Weiss,
  Adv. Nucl. Sci. Techn., 13,
  736 (1981)
IAEA1232/01, included references:
- E.Z. Mueller:
  LABAN-PEL, A Two-Dimensional, Multigroup Diffusion, High-Order
  Response Matrix Code,
  PEL-309, Atomic Energy Corporation of South Africa (June 1991).
- E.Z. Mueller and Z.J. Weiss:
  Benchmarking with the Multigroup Diffusion High-Order Response
  Matrix Method
  Reprint Ann. Nucl. Sci. Techn., Vol. 18, No. 9 pp. 535-544 (1991).
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11. MACHINE REQUIREMENTS:
IAEA1232/01
The program was installed at NEA-DB on both a DELL 466/L PC/80486 with 66 MHz and 12 MBytes of RAM: and a DEC VAX 6000-510.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
IAEA1232/01 FORTRAN-77
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  Mainframe: IBM 370 MVS; i80836 PC: UNIX/XENIX, DOS-4.
IAEA1232/01
The installation on the PC was done under MS-DOS v.6.2  and using the FORTRAN compiler Lahey F77L-EM/32 Version 5.20. On the VAX, the operation system was VMS 5.5-2 and the FORTRAN-77 compiler  was version 5.5-98.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

The
mainframe and PC versions of the code are implemented simply by changing one statement in the program main which is indicated by a
comment card.
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15. NAME AND ESTABLISHMENT OF AUTHORS

  E.Z. Mueller
  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
IAEA1232/01
File name File description Records
IAEA1232_01.001 Information file 105
IAEA1232_01.002 Source for LABANPEL 6634
IAEA1232_01.003 Executable file for LABANPEL -Lahey compiler 0
IAEA1232_01.004 Input data for sample problem 1 59
IAEA1232_01.005 Input data for sample problem 2 52
IAEA1232_01.006 Output for sample problem 1 265
IAEA1232_01.007 Output for sample problem 2 518
IAEA1232_01.008 Input/Output files definition for LABANPEL 3
IAEA1232_01.009 JCL for mainframe compilation of LABANPEL 9
IAEA1232_01.010 JCL for mainframe execution of LABANPEL 8
IAEA1232_01.011 Message errors from Lahey compiler 0
IAEA1232_01.012 DOS file-names 11
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17. CATEGORIES
  • C. Static Design Studies
  • K. Reactor Systems Analysis

Keywords: diffusion equations, multigroup, response functions, two-dimensional, x-y.