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NEA-0471 TVEDIM.

TVEDIM, 2-D Homogeneous and Inhomogeneous Neutron Diffusion for X-Y, R-Z, R-Theta Geometry

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1. NAME OR DESIGNATION OF PROGRAM:  TVEDIM.
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2. COMPUTERS
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Program name Package id Status Status date
TVEDIM NEA-0471/01 Tested 06-AUG-1987

Machines used:

Package ID Orig. computer Test computer
NEA-0471/01 BURROUGHS 6700 Many Computers
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3. NATURE OF PHYSICAL PROBLEM SOLVED

The two-dimensional neutron diffusion equation (x-y, r-z, or r-theta geometry is solved, either  in the inhomogeneous (source calculation) or the homogeneous form (Keff calculation or absorber adjustment). The boundary conditions specify each group current as a linear homogeneous function of the group fluxes (gamma matrix concept). For each material, the fission  matrix is assumed to by dyadic.
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4. METHOD OF SOLUTION

Finite difference formulation (5 point scheme, mesh corner variant) is used.  Solution technique:  multiline SOR.
Eigenvalue estimate by neutron balance.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM
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6. TYPICAL RUNNING TIME

Examples:
(1) 2 groups, 10 x 10 meshes, relative flux accuracy (iteration  error) 5 x 10**(-8), 14 fine mesh iterations: CPU time = 16 sec.
(2) 2 groups, 80 x 80 meshes, relative flux accuracy (iteration error) 5 x 10**(-7), 31 fine mesh iterations: CPU time = 1050 sec.
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7. UNUSUAL FEATURES OF THE PROGRAM

Multi-line relaxation with user specified block size, mesh subdivision capability, gamma matrices, one inner iteration per outer iteration.
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8. RELATED OR AUXILIARY PROGRAMS: RELATED AND AUXILIARY PROGRAMS
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9. STATUS
Package ID Status date Status
NEA-0471/01 06-AUG-1987 Screened
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10. REFERENCES

- G.K. Kristiansen:
  'The Two-Dimensional Finite-Difference Neutron Diffusion Program TVEDIM'
  RISO-M-1919 (1977).
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11. MACHINE REQUIREMENTS

The program uses disc storage and double precision arithmetic. The choice of block size may be limited by the available buffer area (fast memory).
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NEA-0471/01 ALGOL
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13. SOFTWARE REQUIREMENTS: OPERATING SYSTEM OR MONITOR UNDER WHICH PROGRAM IS EXECUTED
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

ANY OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
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15. NAME AND ESTABLISHMENT OF AUTHOR

   G.K. Kristiansen
   Dept. of Reactor Technology
   Research Establishment
   RISO, Denmark.
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16. MATERIAL AVAILABLE
NEA-0471/01
File name File description Records
NEA0471_01.001 Information file 34
NEA0471_01.002 TVEDIM source program 1533
NEA0471_01.003 TVEDIM input sample problem 44
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17. CATEGORIES
  • C. Static Design Studies

Keywords: finite difference method, neutron diffusion equation, r-theta, r-z, two-dimensional, x-y.