Variational nodal perturbation calculations using simplified spherical harmonics
- Argonne National Lab., IL (United States)
- Northwestern Univ., Evanston, IL (United States)
The simplified spherical harmonics (SP{sub N}) method has been used as an approximation to the transport equation in a number of situations. Recently, the SP{sub N} method has been formulated within the framework of the variational nodal method (VNM). Implementation in the VARIANT code indicated that for many two- and three-dimensional problems, near P{sub N} accuracy can be obtained at a fraction of the cost. Perturbation methods offer additional computational cost reduction for reactor core calculations and are indispensable for performing a variety of calculations, including sensitivity studies and the breakdown by components of reactivity worths. Here, the authors extend the perturbation method developed for the VNM in the full P{sub N} approximation to treat simplified spherical harmonics. The change in reactivity predicted by both first-order and exact perturbation theory using the SP{sub N} approximation is demonstrated for a benchmark problem and compared to diffusion and full P{sub N} estimates.
- OSTI ID:
- 426384
- Report Number(s):
- CONF-961103-; ISSN 0003-018X; TRN: 96:006307-0105
- Journal Information:
- Transactions of the American Nuclear Society, Vol. 75; Conference: Winter meeting of the American Nuclear Society (ANS) and the European Nuclear Society (ENS), Washington, DC (United States), 10-14 Nov 1996; Other Information: PBD: 1996
- Country of Publication:
- United States
- Language:
- English
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