NEA-0836 MADONNA.

MADONNA, Neutron Flux with Void Region by Removal Diffusion Method

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: MADONNA.

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2. COMPUTERS

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Program name	Package id	Status	Status date
MADONNA	NEA-0836/01	Tested	20-APR-1994

Machines used:

Package ID	Orig. computer	Test computer
NEA-0836/01	IBM 370 series	DEC VAX 6000

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3. DESCRIPTION OF PROBLEM OR FUNCTION

This modular package will calculate neutron flux in a geometry containing several void regions by using the removal diffusion method coupled with albedo-transport equation.

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4. METHOD OF SOLUTION: Solution details are discussed in Ref.(1).

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

The principle restriction is the availability of adequate core storage. All large modules are variably dimensioned which means that array sizes are set for the particular problem being run at execution.

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6. TYPICAL RUNNING TIME

Running times for this system are a function of several things:
(a) the number of removal neutron groups
(b) the number of diffusion neutron groups
(c) the number of spatial nodes in a calculation geometry
(d) the number of subdivisions at duct wall surfaces.

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7. UNUSUAL FEATURES OF THE PROGRAM

For economical reasons, the program can be used more often for design purpose than discrete ordinates transport codes or Monte Carlo codes for in the early stade of practical reactor shielding design processes.

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8. RELATED AND AUXILIARY PROGRAMS

TOKOSEN - plots contours of any activity such as flux or dose and draws the input geometry model
GENSUIZU- provides one-dimensional plots of activities as selected points from MADANNA.

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9. STATUS

Package ID	Status date	Status
NEA-0836/01	20-APR-1994	Tested at NEADB

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10. REFERENCES

- T. Nishimura and H. Kinjo:
  "Development of A Computer Code for Neutron Streaming Calculation
   in LMFBR"
  International Conference on Reactor Shielding, 5th, Knoxville,
  Tenn., p680-687 (1977).
- 100 Group Neutron Cross-Section Data Based on ENDF/B,
  RSIC Data Library Collection.
- P.C. Miller and A. Packwood:
  "The Exploitation of a simplified Albedo Theory for Neutron and
   Gamma-Ray Streaming in Practical Design Situation",
  4th International Conference on Reactor Shielding, C3-6 (1972).

NEA-0836/01, included references:

- T. Nishimura, Y. Baba and H. Kinjo:
MADONNA: Two-Dimensional Neutron Streaming Calculation Code.
MAPI (August 1981).

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11. MACHINE REQUIREMENTS:

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NEA-0836/01	FORTRAN-IV

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED: IBM OS 370 with the FORTRAN G compiler.

NEA-0836/01

NEA-DB compiled the program and executed the program system on a DEC VAX 6000 computer running under VMS.

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
No overlay structure is used.

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15. NAME AND ESTABLISHMENT OF AUTHOR

Tatsuo Nishimura, Yumiko Baba and Hidehito Kinjo
Mitsubishi Atomic Power Industries, Inc.
6-1, Ohtemachi, 1-Chome
Chiyoda-Ku, Tokyo 100

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16. MATERIAL AVAILABLE

NEA-0836/01

File name	File description	Records
NEA0836_01.001	Information file	311
NEA0836_01.002	VAX version CURRENT	2136
NEA0836_01.003	CURR output unit 6	941
NEA0836_01.004	CURR output unit 29	941
NEA0836_01.005	CURR / CURRENT input data	37
NEA0836_01.006	Source code CURRENT (IBM)	2119
NEA0836_01.007	Source code CURRENT (IBM)	2119
NEA0836_01.008	Output CURRENT (IBM)	940
NEA0836_01.009	Diffusion source code (VAX)	5176
NEA0836_01.010	Output file DIFF unit 8	468
NEA0836_01.011	Output file DIFF unit 10	60
NEA0836_01.012	Output file DIFF unit 6 case 1	1703
NEA0836_01.013	Output file DIFF unit 6 case 2	1743
NEA0836_01.014	DIFFUSION source code (IBM)	5175
NEA0836_01.015	Input file DIFF/DIFFUSION for case 1	30
NEA0836_01.016	Input file DIFF/DIFFUSION for case 2	47
NEA0836_01.017	Output DIFFUSION (IBM) of case 1	1703
NEA0836_01.018	Output file DIFFUSION (IBM) of case 2	1743
NEA0836_01.019	DLC library converting code	297
NEA0836_01.020	Input file for DLC.FOR	14
NEA0836_01.021	Condensed DLC-2D(100G) library	6963
NEA0836_01.022	VAX version of MACRO	589
NEA0836_01.023	Output file MAC unit 6	109
NEA0836_01.024	Output file MAC unit 8	15
NEA0836_01.025	Output file MAC unit 9	24
NEA0836_01.026	Input file MAC/MACRO	32
NEA0836_01.027	MACRO source code (IBM)	588
NEA0836_01.028	Output file MACRO (IBM)	109
NEA0836_01.029	MADONNA com. file (IBM)	19
NEA0836_01.030	VAX version of PROBABILITY	5254
NEA0836_01.031	Output file PROB unit 6	251
NEA0836_01.032	Output file PROB unit 7	8
NEA0836_01.033	Output file PROB unit 29	7955
NEA0836_01.034	Input file PROB/PROBABILITY	28
NEA0836_01.035	Source code PROBABILITY (IBM)	5226
NEA0836_01.036	Output PROBABILITY (IBM)	250
NEA0836_01.037	VAX version of REMOVAL	3066
NEA0836_01.038	Output file REM unit 6	1611
NEA0836_01.039	Output file REM unit 15	176
NEA0836_01.040	Output file REM unit 16	468
NEA0836_01.041	Input file for REM/REMOVAL	35
NEA0836_01.042	REMOVAL source code (IBM)	3058
NEA0836_01.043	Output file REMOVAL (IBM)	1615

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17. CATEGORIES

C. Static Design Studies

Keywords: albedo, diffusion equations, neutron flux, neutron transport equation, removal-diffusion, voids.