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NUMERICAL SOLUTION OF THE DIFFUSION EQUATION IN TRIANGULAR AND HEXAGONAL GEOMETRIES

Technical Report ·
OSTI ID:4069205
The solution of the neutron-diffusion equation in twodimensional triangular and hexagonal grids is discussed. Seven-point difference equatione in a triangular mesh are derived, and various methods of solving the resulting system of equations ars given. Included is an alternating direction-implicit method that was programmed for the IBM 704. The results of this method are compared with those obtained by using the FLEER code. A special code was also written to investigate the accuracy of the fourpoint difference equation. Results obtained with this code are presented. (auth)
Research Organization:
Knolls Atomic Power Lab., Schenectady, N.Y.
DOE Contract Number:
W-31-109-ENG-52
NSA Number:
NSA-15-013916
OSTI ID:
4069205
Report Number(s):
KAPL-2085
Country of Publication:
United States
Language:
English

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