NEA-0478 FEMB.

FEMB, 2-D Homogeneous Neutron Diffusion in X-Y Geometry with Keff Calculation, Dyadic Fission Matrix

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, AUXILIARIES, 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: FEMB.

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2. COMPUTERS

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Program name	Package id	Status	Status date
FEMB	NEA-0478/01	Tested	06-AUG-1987

Machines used:

Package ID	Orig. computer	Test computer
NEA-0478/01	BURROUGHS 6700	Many Computers

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3. NATURE OF PHYSICAL PROBLEM SOLVED

The two-dimensional neutron diffusion equation (xy geometry) is solved in the homogeneous form (Keff calculation). 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 be dyadic.

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4. METHOD OF SOLUTION

Finite element formulation with Lagrange type elements. Solution technique: SOR with extrapolation.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM: Maximum order of the Lagrange elements is 6.

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6. TYPICAL RUNNING TIME

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7. UNUSUAL FEATURES OF THE PROGRAM

Mesh subdivision capability, gamma matrices, 1 inner per outer iteration, high order approximations.

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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-0478/01	06-AUG-1987	Screened

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10. REFERENCES

- IB Misfeldt:
  "Solution of the Multigroup Neutron Diffusion Equation by the Finite Element Method"
  RISO-M-1809.
- IB Misfeldt:
  "The Program FEMB, User's Manual"
  RISO-M-1929.

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11. MACHINE REQUIREMENTS: Disc storage is used.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NEA-0478/01	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

         IB Misfeldt
         Department of Reactor Technology
         Research Establishment
         RISO
         Denmark

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16. MATERIAL AVAILABLE

NEA-0478/01

File name	File description	Records
NEA0478_01.001	Iformation file	33
NEA0478_01.002	FEMB source program	1564
NEA0478_01.003	FEMB Input Sample Problem	76

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17. CATEGORIES

C. Static Design Studies

Keywords: Lagrange equations, finite element method, neutron diffusion equation, two-dimensional, x-y.