Partial current balance method for space-, and energy-dependent reactor calculations
>From national topical meeting on mathematical models and computational techniques for analysis of nuclear systems; Ann Arbor, Michigan, USA (8 Apr 1973). In mathematical models and computational techniques for analysis of nuclear systems. An approximation procedure is developed for the solution of the space- dependent multigroup reactor statics and reactor dynamics equations. The nuclear system is partitioned, a Green's function is used to eliminate the spatial differential operators in the equations for each element, and continuity of partial currents is imposed to maintain a neutron balance. Expansion of the spacedependence of the flux results in a set ot integro-differential n's function is the exact solution for part of the neutron migration operator involved, this technique results in fewer equations than most conventional techniques for given accuracy (an important advantage, particularly when treating the stiff equations arising in reactor dynamics). Reactor statics calculations performed using both the above method and ordinary finite difference methods are presented and compared. 24 references. (auth)
- Research Organization:
- Univ. of Illinois, Urbana; American Nuclear Society. Michigan Section
- NSA Number:
- NSA-29-007185
- OSTI ID:
- 4372306
- Report Number(s):
- CONF-730414-P2
- Resource Relation:
- Conference: National topical meeting on mathematical models and computational techniques for analysis of nuclear systems, Ann Arbor, Michigan, USA, 8 Apr 1973; Other Information: Orig. Receipt Date: 30-JUN-74; Related Information: Mathematical models and computational techniques for analysis of nuclear systems
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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