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NEA-1416 D3D/D3E.

D3D/D3E, 2-D, 3-D MultiGroup Neutron Diffusion in Rectangular, Cylindrical, Triangular-Z Geometry

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1. NAME OR DESIGNATION OF PROGRAM:  D3D/D3E.
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2. COMPUTERS
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Program name Package id Status Status date
D3D/D3E NEA-1416/01 Tested 13-JUN-1995
D3D/D3E NEA-1416/02 Arrived 09-OCT-2002

Machines used:

Package ID Orig. computer Test computer
NEA-1416/01 IBM (generic) IBM (generic)
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3. DESCRIPTION OF PROGRAM OR FUNCTION

The two- and three-dimensional  real and adjoint steady-state multigroup neutron diffusion equations are solved by approximating the differential equations by finite difference equations. The discrete grid is a mesh edged one, so that the neutron fluxes are calculated on surfaces separating zones to which different physical conditions apply. Different options allow to treat homogeneous, i.e. eigenvalue problems as well as inhomogeneous, i.e. external source driven problems in rectangular or cylindrical geometry (D3D) or triangular-Z geometry (D3E).
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4. METHOD OF SOLUTION

The linear algebraic system of the difference equations is solved by the outer and inner iterations method. An outer iteration of the homogeneous problem is the power iteration with the fission source, whereas the outer iteration of the inhomogeneous problem is an iteration with the fission source. Within the process of an outer iteration the group fluxes are determined by inner iterations, either via block overrelaxation or a method of conjugate gradients.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:
The program does not impose any restrictions.
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6. TYPICAL RUNNING TIME

Three seconds central processing unit time (on a IBM 3090) should be accorded for every thousand space energy points of a fast breeder reactor.
NEA-1416/01
NEA-DB ran the four sample problems included in this package on an IBM 6000/990 in about 2 minutes of CPU time.
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7. UNUSUAL FEATURES OF THE PROGRAM:
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8. RELATED AND AUXILIARY PROGRAMS:
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9. STATUS
Package ID Status date Status
NEA-1416/01 13-JUN-1995 Tested at NEADB
NEA-1416/02 09-OCT-2002 Arrived at NEADB
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10. REFERENCES:
NEA-1416/01, included references:
- B. Stehle:
  D3D and D3E: FORTRAN Programs to Solve the Stationary Three
  Dimensional Multigroup Neutron Diffusion Equations in Rectangular,
  Cylinder, and Triangular Geometries
  KfK 4764 (April 1991), (in German)
NEA-1416/02, included references:
- B. Stehle:
D3D and D3E Branches of a Fortran program for the Solution of the Stationary
Three-Dimensional Multigroup Neutron Diffusion Equations in Rectangular,
Cylindrical and Triangular Geometry
KFK 4764 (April 1991)
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11. MACHINE REQUIREMENTS:
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NEA-1416/01 FORTRAN-77
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:
IBM-MVS/SP 4.1, Fujitsu-VSP/I.
NEA-1416/01
NEA-DB installed the program under MVS 421. The source  programs were compiled with the IBM Fortran compiler V2R5.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHORS

            B. Stehle
   Institut fuer Neutronenphysik und Reaktortechnik
   Kernforschungszentrum Karlsruhe
   Postfach 3640
   D 7500 Karlsruhe, Federal Republic of Germany
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16. MATERIAL AVAILABLE
NEA-1416/02
Source codes
JCL
Documentation in PDF format
Sample problems input/output files
NEA-1416/01
File name File description Records
NEA1416_01.001 Information file 290
NEA1416_01.002 Subprogram file #1 1892
NEA1416_01.003 Subprogram file #2 2936
NEA1416_01.004 Subprogram file #3 99
NEA1416_01.005 Subprogram file #4 3022
NEA1416_01.006 Subprogram file #5 2303
NEA1416_01.007 Subprogram file #6 3864
NEA1416_01.008 Subprogram file #7 1376
NEA1416_01.009 Subprogram file #8 2774
NEA1416_01.010 Subprogram file #9 1115
NEA1416_01.011 Subprogram file #10 1265
NEA1416_01.012 Subprogram file #11 777
NEA1416_01.013 Subprogram file #12 1414
NEA1416_01.014 Subprogram file #13 2509
NEA1416_01.015 Subprogram file #14 1082
NEA1416_01.016 Subprogram file #15 3237
NEA1416_01.017 Subprogram file #16 2427
NEA1416_01.018 Subprogram file #17 3662
NEA1416_01.019 Subprogram file #18 2584
NEA1416_01.020 Subprogram file #19 2388
NEA1416_01.021 Subprogram file #20 575
NEA1416_01.022 Subprogram file #21 1319
NEA1416_01.023 Subprogram file #22 1561
NEA1416_01.024 Subprogram file #23 1399
NEA1416_01.025 Subprogram file #24 2118
NEA1416_01.026 Subprogram file #25 1447
NEA1416_01.027 Subprogram file #26 122
NEA1416_01.028 Program file D3DOR 137
NEA1416_01.029 Program file D3DCG 137
NEA1416_01.030 Program file D3EOR 137
NEA1416_01.031 Program file D3ECG 137
NEA1416_01.032 JCL file to compile and link D3DOR program 22
NEA1416_01.033 JCL file to compile and link D3DCG program 23
NEA1416_01.034 JCL file to compile and link D3EOR program 24
NEA1416_01.035 JCL file to compile and link D3ECG program 25
NEA1416_01.036 JCL file to run the D3DOR program 16
NEA1416_01.037 JCL file to run the D3DCG program 17
NEA1416_01.038 JCL file to run the D3EOR program 16
NEA1416_01.039 JCL file to run the D3ECG program 16
NEA1416_01.040 Sample input for the D3DOR program 154
NEA1416_01.041 Sample input for the D3DCG program 154
NEA1416_01.042 Sample input for the D3EOR program 135
NEA1416_01.043 Sample input for the D3ECG program 135
NEA1416_01.044 Sample output for the D3DOR program 1633
NEA1416_01.045 Sample output for the D3DCG program 1627
NEA1416_01.046 Sample output for the D3EOR program 1944
NEA1416_01.047 Sample output for the D3ECG program 1477
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17. CATEGORIES
  • C. Static Design Studies

Keywords: cylindrical, diffusion equations, finite difference method, homogeneous, inhomogeneous, rectangular, triangular-z.