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IAEA0835 FASVER2.

FASVER, 2 Group 2-D Diffusion in X-Y Geometry and Adjoint Solution for PWR with Reflector

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1. NAME OR DESIGNATION OF PROGRAM:  FASVER2.
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2. COMPUTERS
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Program name Package id Status Status date
FASVER-4 IAEA0835/02 Tested 03-JUL-1986

Machines used:

Package ID Orig. computer Test computer
IAEA0835/02 DEC VAX 11/750 IBM 3081
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3. DESCRIPTION OF PROBLEM OR FUNCTION

FASVER2 solves the two-group two dimensional (x-y geometry) stationary diffusion equation of reactor physics. It is designed for the octant geometry of a typical PWR core with reflector. The adjoint equation may also be solved.
FASVER4 performs the same calculations as FASVER2, but for one quadrant geometry of a PWR core.
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4. METHOD OF SOLUTION

The diffusion equation is solved using the finite differences method. Each group equation is discretized on a different mesh. The thermal flux is defined on a mesh that is three  times smaller than that for the fast flux. The fission density is defined on the coarse fast flux mesh. SOR acceleration is used for the inner iterations. The SOR parameters may be evaluated in advance using the eigenvalue of the homogeneous part of the respective finite difference group equation. Alternatively the SOR parameters may be inserted externally. If an eigenvalue problem is solved, Chebyshev polynomials are used to accelerate the outer iterations.

Fuel elements are considered to be quadratic, and group constants (i.e. cross sections) assumed constant over each fuel element with discontinuities between different fuel elements.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:  Two groups.
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6. TYPICAL RUNNING TIME

About 50 secs. on CYBER 172 for a typical PWR core with about 7000 thermal mesh points to achieve a relative accuracy of 10**-3.
IAEA0835/02
NEA-DB executed the test cases included in this package on an IBM 3081 computer. Required CPU times were: 1 min. 13 secs. for test case 1, and 1 min. 53 secs. for test case 2.
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7. UNUSUAL FEATURES OF THE PROGRAM

Coarse mesh treatment and iteration acceleration giving very fast two group diffusion calculation, flexibility in number of inner iterations per outer iterations.
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8. RELATED AND AUXILIARY PROGRAMS

FASVER - 2-dimensional diffusion code for more than two groups simpler mesh treatment, no outer iteration acceleration.
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9. STATUS
Package ID Status date Status
IAEA0835/02 03-JUL-1986 Tested at NEADB
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10. REFERENCES

- M. Ravnik, S. Slavic,
  "FASVER2 - Description of a Fortran Program for 2-D Two Group
  Diffusion Calculation of Power Density in PWR Core"
  IJS-DP-1698 (1979).
IAEA0835/02, included references:
- M. Ravnik and S. Slavic:
  FASVER4 - Fortran Program for Diffusion Calculations of PWR Core
  in Quadrant Symmetry.
  IJS-DP-4263  (January 1986)
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11. MACHINE REQUIREMENTS:  Four scratch files.
IAEA0835/02
To run the test cases included in this package on an IBM 3081 computer, 828K bytes of main storage were required.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
IAEA0835/02 FORTRAN-77
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  Scope 3.4.
IAEA0835/02
MVS/SP (IBM 3081).
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14. OTHER PROGRAMMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHOR

          M. Ravnik and S. Slavic
          Institut "Jozef Stefan"
          Ljubljana
          Jugoslavia.
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16. MATERIAL AVAILABLE
IAEA0835/02
File name File description Records
IAEA0835_02.001 Information file 62
IAEA0835_02.002 FASVER-4 source (fortran) 3960
IAEA0835_02.003 Dummy routines (elapsed time, time and date) 14
IAEA0835_02.004 JCL to run sample cases 65
IAEA0835_02.005 Sample case 1 input 87
IAEA0835_02.006 Sample case 1 output (unit 2) 2144
IAEA0835_02.007 Sample case 1 output (unit 6) 70
IAEA0835_02.008 Sample case 2 input 166
IAEA0835_02.009 Sample case 2 output (unit 2) 3553
IAEA0835_02.010 Sample case 2 output (unit 6) 55
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17. CATEGORIES
  • C. Static Design Studies

Keywords: diffusion equations, pwr reactors, two-dimensional, two-group.