NEA-0370 SHADOK3-6.

SHADOK-3-6, Transport Equation with Anisotropic Diffusion in P1 Approximation for Spherical and Cylindrical Geometry

NAME OR DESIGNATION OF PROGRAM, COMPUTER, NATURE OF PHYSICAL PROBLEM SOLVED, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, CPU, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM, OTHER RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: SHADOK3-6.

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2. COMPUTERS

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Program name	Package id	Status	Status date
SHADOK-3-6	NEA-0370/01	Tested	01-MAY-1973

Machines used:

Package ID	Orig. computer	Test computer
NEA-0370/01	CDC 6600	CDC 6600

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3. NATURE OF PHYSICAL PROBLEM SOLVED

Integral transport equation, anisotropy of diffusion in P1 approximation.
SHADOK3 - cylindrical geometry
          direct solution of the linear system.
SHADOK4 - cylindrical geometry.
          Thermalization iteration
          solution of the linear system with inverse matrix
          calculation.
SHADOK5 - like SHADOK3 for spherical geometry.
SHADOK6 - like SHADOK4 for spherical geometry.

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4. METHOD OF SOLUTION

Analysis in terms of annuli for each of which polynomial approximation is applied. Dynamic allocation (for formulas see report TM(10)).

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM: Relative accuracy of the Bickley functions about 1.0E-13.

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6. TYPICAL RUNNING TIME

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7. UNUSUAL FEATURES OF THE PROGRAM: Use of subroutines of the series "FINLIB".

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8. RELATED AND AUXILIARY PROGRAMS

Subroutines BICKLE (EIR 4147), SYSLIE (EIR 4050), TRIXIE (EIR 4046).

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9. STATUS

Package ID	Status date	Status
NEA-0370/01	01-MAY-1973	Tested at NEADB

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10. REFERENCES: - TM-PH-454.

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11. MACHINE REQUIREMENTS: It depends on the problem to be treated.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NEA-0370/01	FORTRAN-IV

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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

J.Ligou and P.A.Thomi
Eidgenoessisches Institut fuer Reaktorforschung
Wuerenlingen
Switzerland

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16. MATERIAL AVAILABLE

NEA-0370/01

File name	File description	Records
NEA0370_01.001	INFORMATION	3
NEA0370_01.002	SHADOK-3 SOURCE PROGRAMME (FORTRAN)	1769
NEA0370_01.003	SHADOK-3 SAMPLE INPUT	57
NEA0370_01.004	SHADOK-3 SAMPLE OUTPUT	579
NEA0370_01.005	SHADOK-4 SOURCE PROGRAMME (FORTRAN)	2012
NEA0370_01.006	SHADOK-4 SAMPLE INPUT	1276
NEA0370_01.007	SHADOK-4 SAMPLE OUTPUT	1559
NEA0370_01.008	SHADOK-5 SOURCE PROGRAMME (FORTRAN)	1500
NEA0370_01.009	SHADOK-5 SAMPLE INPUT	57
NEA0370_01.010	SHADOK-5 SAMPLE OUTPUT	577
NEA0370_01.011	SHADOK-6 SOURCE PROGRAMME (FORTRAN)	1739
NEA0370_01.012	SHADOK-6 SAMPLE INPUT	1276
NEA0370_01.013	SHADOK-6 SAMPLE OUTPUT	1539

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17. CATEGORIES

C. Static Design Studies

Keywords: anisotropy, cylinders, diffusion, spheres, transport theory.