Solution of the improved and generalized quasi-static methods by Kaps-Rentrop integration with step-size control

Journal Article · Sun Dec 31 00:00:00 EST 1995 · Transactions of the American Nuclear Society

OSTI ID:186679

Sissaoui, M T; Koclas, J; Herbert, A ^[1]

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1. Ecole Polytechnique, Montreal (Canada)

The time-dependent neutron diffusion equation is solved here by the factorization of the temporal and spatial variables in the flux, which gives rise to a point-kinetics equations and a shape function equation. The point-kinetics equations make up a stiff system of ordinary differential equations, to which we apply the Kaps-Rentrop method of solution for both improved (IQS) and generalized (GQS) quasi-static methods. The results are compared to reference Solutions computed by Gear`s method.

• OSTI ID: 186679
• Report Number(s): CONF-950601-; ISSN 0003-018X; TRN: 96:007097
• Journal Information: Transactions of the American Nuclear Society, Vol. 72; Conference: Annual meeting of the American Nuclear Society (ANS), Philadelphia, PA (United States), 25-29 Jun 1995; Other Information: PBD: 1995
• Country of Publication: United States
• Language: English

Related Subjects

22 NUCLEAR REACTOR TECHNOLOGY
66 PHYSICS
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
DIFFERENTIAL EQUATIONS
FACTORIZATION
TIME DEPENDENCE
REACTOR PHYSICS