Family of higher order nodal methods for multigroup neutron diffusion computations

Conference · Thu Jan 01 04:00:00 EST 1987 · Trans. Am. Nucl. Soc.; (United States)

OSTI ID:5580308

Ougouag, A M; Rajic, H L

A generalized higher order two-dimensional version, ILLICO-HO, of the two- and three-dimensional ILLICO nodal code has been implemented on a CRAY X-MP/48. This version accepts the order of the spatial approximation and the order of the method as input variables. Results for the zero-order flat leakage case (equivalent to a (0,2) higher order method), the zero-order quadratic leakage approximation (QLA) case, and the higher order (2,2), (2,4), and (4,4) cases, where in (i,j) i is the order of the method used and j is the order of the spatial approximation, are presented in Table I for the Zion 1 pressurized water reactor (PWR) problem. All the results are for assembly-size mesh with modifications for the explicit modeling of the baffle. For the two-dimensional International Atomic Energy Agency PWR benchmark problem the QLA solution for assembly-size nodes gives a k/sub eff/ of 1.0295848. The maximum relative error on assembly power densities for this case is 0.02%. Besides giving extremely accurate powers and essentially exact eigenvalues, the methods presented here provide detailed, accurate, surface flux and surface current shapes needed for assembly flux reconstruction.

• Research Organization: Univ. of Illinois, Chicago
• OSTI ID: 5580308
• Report Number(s): CONF-870601-
• Conference Information: Journal Name: Trans. Am. Nucl. Soc.; (United States) Journal Volume: 54
• Country of Publication: United States
• Language: English

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ACCURACY
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DIFFERENTIAL EQUATIONS
ENRICHED URANIUM REACTORS
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FINITE DIFFERENCE METHOD
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